Welcome to our blog about online teaching and tutoring at the University of Illinois at Springfield (UIS). This blog was specifically created for the American Board of Funeral Service Education General Session for funeral directors. Presenter Emily Boles will discuss online teaching at UIS through her experience as a Computer Assisted Instruction Specialist in the Office of Technology-Enhanced Learning at UIS and presenters Lindsey Perrine, Kristin Nisbet, and Kandice Pryor will discuss online tutoring through their experience as online tutors in the Center for Teaching a! nd Learning at UIS.
online tutoring demo session
Tuesday, August 31, 2010
"1001 Questions for MCAT Physics" by Jonathan Orsay
I'm only through the first lecture and I can already tell I'm going to need a lot more practice.
Let me stress the fact that it's not the hard facts of the material that's challenging. You've probably heard and read over and over (including here on this blog) that the MCAT is NOT testing your ability to memorize and regurgitate information. The MCAT is a passage based exam which tests your ability to apply the basic sciences to answer questions through reason.
This is true.
If this were just strict memorization, I have no doubt I could manage to pull off a perfect or near perfect score, as could many other students. It's hard to explain in words now (if you've never taken a practice test), but a common bit of advice to get a better score is to do as many practice problems and take as many practice MCATs as possible. And that's where this book comes in:
Comments left on Amazon and other comments on the Examkrackers forum say the same:
You shouldn't buy each of these books (Physics, General Chemistry, Biology and Organic Chemistry) if you don't need to. These are only recommended to those who feel weak in a subject.
This is one of my subjects.
I'm probably weakest in the Physics passage based questions. I'll be ordering this today or tomorrow.
I'm aware that I recommend a lot of books on this blog. I have a ridiculous amount of books myself and I've read & used them all. The MCAT is coming and I'm beginning to feel the pressure. I figure if there was one time to be on top of my studying, be thorough and not ! cut any corners it's now. I'm just trying to follow through (! unlike s ome of my previous semesters where I really could have given a little more).
mcat question of the day
Let me stress the fact that it's not the hard facts of the material that's challenging. You've probably heard and read over and over (including here on this blog) that the MCAT is NOT testing your ability to memorize and regurgitate information. The MCAT is a passage based exam which tests your ability to apply the basic sciences to answer questions through reason.
This is true.
If this were just strict memorization, I have no doubt I could manage to pull off a perfect or near perfect score, as could many other students. It's hard to explain in words now (if you've never taken a practice test), but a common bit of advice to get a better score is to do as many practice problems and take as many practice MCATs as possible. And that's where this book comes in:
Comments left on Amazon and other comments on the Examkrackers forum say the same:
You shouldn't buy each of these books (Physics, General Chemistry, Biology and Organic Chemistry) if you don't need to. These are only recommended to those who feel weak in a subject.
This is one of my subjects.
I'm probably weakest in the Physics passage based questions. I'll be ordering this today or tomorrow.
I'm aware that I recommend a lot of books on this blog. I have a ridiculous amount of books myself and I've read & used them all. The MCAT is coming and I'm beginning to feel the pressure. I figure if there was one time to be on top of my studying, be thorough and not ! cut any corners it's now. I'm just trying to follow through (! unlike s ome of my previous semesters where I really could have given a little more).
mcat question of the day
Gormok oneshots a blue tank
The title was commented so many times in all undergeared posts that we thought we make them a nice picture:
The "Gormok oneshots a blue tank" idea is an M&S wishful thinking based on "what I'm too dumb to do is impossible to do". While they accept that some "lower tier" content that "does not matter" may can be done in blues, but the "real game" needs what they have (gear) and not what they don't (skill). The logs prove that poor Gormok was oneshotted. The tank HP was never low. It's not magic guys, it's just the "no-lifer" ability to switch to Snobold Wassals.
The last raid started awesomly. At first 17 lvl 80 were online. Never seen so many! Forming the raid was hard and mostly arbitrary. Those outside the raid found their way to pass their! time while waiting if replacement is needed (one was needed due to DC):
First of course we went to Ulduar, 3 shotted Mimiron (one try missing since I forgot to switch log on). The first try failed because the bots made some massacre, the second failed due to trigger happy melee killing the bottom part. My unusually high damage taken came from being head tank (and the logs still don't show my elemental).
Vezax two shotted, wasn't hard at all. Then came Yogg + 3 (Mimiron stays out). Lot of people did it the first time (I think most of our members are not in HC guilds, but in casual ones, wanting more than boosting tards in ICC 4/12). On the fourth try we got P2 without a single extra add. Since only 1 person out of 4 jumped into the portal and it was 21:40, I thought we are way too tired for Yogg. So we went and oneshotted Gormok and friends.
Next week we go and clear ToC at least up to 4/5. If th! ere are as many people online as this time, just to annoy the M&S naysayers, we'll kill Gormok25 too.
The "Gormok oneshots a blue tank" idea is an M&S wishful thinking based on "what I'm too dumb to do is impossible to do". While they accept that some "lower tier" content that "does not matter" may can be done in blues, but the "real game" needs what they have (gear) and not what they don't (skill). The logs prove that poor Gormok was oneshotted. The tank HP was never low. It's not magic guys, it's just the "no-lifer" ability to switch to Snobold Wassals.
The last raid started awesomly. At first 17 lvl 80 were online. Never seen so many! Forming the raid was hard and mostly arbitrary. Those outside the raid found their way to pass their! time while waiting if replacement is needed (one was needed due to DC):
First of course we went to Ulduar, 3 shotted Mimiron (one try missing since I forgot to switch log on). The first try failed because the bots made some massacre, the second failed due to trigger happy melee killing the bottom part. My unusually high damage taken came from being head tank (and the logs still don't show my elemental).
Vezax two shotted, wasn't hard at all. Then came Yogg + 3 (Mimiron stays out). Lot of people did it the first time (I think most of our members are not in HC guilds, but in casual ones, wanting more than boosting tards in ICC 4/12). On the fourth try we got P2 without a single extra add. Since only 1 person out of 4 jumped into the portal and it was 21:40, I thought we are way too tired for Yogg. So we went and oneshotted Gormok and friends.
Next week we go and clear ToC at least up to 4/5. If th! ere are as many people online as this time, just to annoy the M&S naysayers, we'll kill Gormok25 too.
maths is fun tanks
Math Homework Solver
Check out our math homework solver in the android market. This program is the ultimate application to solve your math homework. It will also step you through solving the problem, so you can learn, or show your work for the teacher. It explains every problem in clear, easy to read steps. This program has a new system of architecture, that is extremely innovative and flexible. It allows us to support a new problem in less than an hour. Any requests for our next problems to support, please email at ebg1223@gmail.com We support mulit-variable system of equations, pythagorean theorem solver and equation evaluator, quadratic equation solver, proportion solver, area solver for different figures, and an 'i' exponent value finder. THis program was created by high school students so it generates exactly what the teacher is looking for!
math equation solver
math equation solver
Carnival of Mathematics #67
Editorial
The Carnival of Mathematics #66 was hosted at Wild About Math! This is Carnival of Mathematics #67.If you're new to the Carnival of Mathematics, check out Mike Croucher's introduction at Walking Randomly.
My first task is to choose an interesting fact about the number of the carnival. Well, the excellent Number Gossip tells me as well as being Odd, Prime, Square-free, Lucky, Odious, Deficient and a Lazy caterer, 67 is the largest prime which i! s not th e sum of distinct squares, which seems interesting. Just to demonstrate the level of trivia in the world of numbers, here are some other contenders:
- 67 is the smallest number which is palindromic in bases 5 and 6 (What's Special About This Number?);
- 67 is the only number such that the common alphabetical value of its Roman representation is equal to its reversal (LXVII - 12+24+22+9+9=76) (Number Gossip);
- 67 is the sum of five consecutive primes (exercise for the reader to work out which) (Wikipedia);
- 67 is the smallest prime which contains all ten digits when raised to the tenth power (Number Gossip).
Headlines
Since I've started a 'news' theme, we'd better have some headlines.Over at AMS Math in the Media, Allyn Jackson edits a collection of Summaries of Media Coverage of Math for June 2010.
It is worth taking a look at the MAA's Math in the News archive for recent maths news.
The next Carnival of Mathematics host, Plus Magazine, have published their issue 55.
My own interest in mathematics news and maths in the media is fuelled by my role as the "maths" half of the new Math/Maths Podcast, a ! weekly conversation about mathematics between the UK and USA.
Culture
At the Make: Online blog, George Hart, for the Museum of Mathematics, writes a Math Monday article on Mathematical beading. This includes the image above - can you tell what it is? Go to the article to find out. George gives five examples by Bih-Yaw Jin, and asks What interesting shapes can you make with beads?At General Musings, Daniel Colquitt considers the Sierpiński Triangle in Nothing inside infinity, giving an interesting roundup as part of a series of articles he has written on objects which are infinite in some dimensions but finite in others.
Edmund Harriss of Maxwell's Demon has been playing with spreading text over tilings and gives some examples based on some of his favourite typefaces in Tiling Typography. The example above is a Penrose Tiling based on Garamond.
Alexander Bogomolny of CTK Insights writes A curious variant of the Pythagorean theorem, in which he gives a symmetric form of the Pythagorean theorem in which no one angle is being paid special attention.
Education
Joel Feinstein of Explaining Mathematics has been screencasting his lectures (read his case study), but recently has been struggling with the question of whether students really benefit from his doing this; so he asks: Should we make videos of our lectures available?Tom DeRosa of I Want to Teach Forever writes a provocative post Why We Fail at Teaching the Language of Data, in which he gives his opinion on the emphasis placed on data analysis at school level and argues more time should be spent learning to look critically at data.
Design
In The design of mathematical notation at The Number Warrior, Jason Dyer considers mathematical notation as a design issue and gives a series of examples of design that hinders, rather than aides, understanding.
On the subject of poorly designed notation, don't get Murray Bourne of squareCircleZ star! ted on the notation for natural logarithm! In Logarithms – a visual introduction, he motivates logarithms from a historical perspective, and uses an example to show how logarithms are useful and how they are used.
Gadgets
Recently I hosted a seminar by Birgit Loch at the University of Nottingham and played with her new iPad, stuffed full with every free mathematics app in the Store. There was some interesting stuff there, so I am pleased to see Mike Croucher has started a new series of articles on Walking Randomly to explore the options for doing mathematics on this new platform. Start with Math on iPad #1. Meanwhile, David Warlick writes at 2¢ Worth with a roundup of tools for taking mindmap notes in Taking Notes on the iPad.
Computers and technology
Fëanor writes to say that at bit-player is Disentangling Gaussians, in which Brian Hayes writes ! about ho w ideas going back to the 1890s have been used recently to provide a computational (polynomial time) solution to a statistical question answered, to a mathematician's satisfaction, in the 1950s and 60s.At f(unctional)=>f(un), Samuel Jack asks: How do you guess what language a piece of text is written in? The answer is "using math!" Samuel shows a very simple, but surprisingly effective algorithm and provides an implementation in C#.
John D. Cook at The Endeavour writes Math library functions that seem unnecessary, in which he gives examples of functions in the standard C math library that seem unnecessary at first glance, and the special cases that make them indispensable.
Fredrik Johansson posted Incomplete elliptic integrals complete, in which he describes his implementation of the arbitrary precision calculation of incomplete elliptic integrals in the free, open source mathematical software mpmath.
Katie O'Hare of NAG writes with a post by Mick Pont to The NAG Blog, which asks Why is writing good numerical software so hard? Mick discusses the reasons why software development is still needed.
At the Wolfram Blog, Ed Pegg Jr writes in The Circles of Descartes with a description of the Descartes Circle Theorem and an implementation in Mathematica.
Review
"Shecky Riemann" of Math-Frolic! writes with The Savant Mind At Work, a book review of "Embracing the Wide Sky" by autistic savant & "math whiz" Daniel Tammet.Puzzles
James Grime writes with a classic puzzle he recently featured on his YouTube channel: Two Trains One Fly. This YouTube video is below and the solution can be found in Two Trains One Fly Solution.Meanwhile, over at Mind Your Decisions, Presh Talwalkar discusses solutions for another of James' YouTube puzzles in Salem witches – a math puzzle.
Cartoon
xkcd: Handy exam trick: when you know the answer but not the correct derivation, derive blindly forward from the givens and backward from the answer, and join the chains once the equations start looking similar. Sometimes the graders don't notice the seam.
Sport
The Plus blog has a roundup of World Cup maths stories, for those who are that way inclined, while Tim Gowers is musing on a year of tennis in A mathematician watches tennis II.
And finally...
To end on a bit of fun, like all quality news reports, during a recording of the Math/Maths Podcast, Samuel Hansen showed me a couple of spoofs from David Simmons-Duffin: In ar! Xiv vs. snarXiv, the game is to say which of two article titles is from the real arXiv, a "highly-automated electronic archive and distribution server for research articles", and which is from the spoof snarXiv, a "random high-energy theory paper generator incorporating all the latest trends, entropic reasoning, and exciting moduli spaces". Meanwhile, the Theorem of the Day generator is cooking up realistic looking 'theorems' and 'proofs' using a context free grammar.Here ends Carnival #67. If you liked it, the sister carnival Math Teachers at Pla! y #27 has been posted at Ramblings of a Math Mom. Carnival of Mathematics #68 will be hosted at Plus on 6th August. Please submit your articles via the carnival submission form.
math answer generator
Integer GPU computing apps..
Integer programs are now being routed to GPU en massse..
In one year RSA, molmud, elliptic curves ops, parts of factoring in ECM and Mersenne GIMP programs, logarithm discre problem solver,have been ported:
First see Bernstein GPU work:
(e)ecm on gpu january 09 : edward curves 48g mulmod/s on 280bit mod GTX295
called gpu-ecm
software avaiable (with source)(1-fase) chung meng cheng research page..
cuda-eecm: september 09 best optimized curves edwards on cell,cpu and gpu
now 500g mulmod/s on 192 mod (scales as pow(280/192,2)) so 6-7 times faster than previous record..
CPU imp now ported from GMP to MPFQ and better EECM usage:
GMP-ECM->EECM-MPFQ software with source avaiable at:
I think gpu soon avaiable in cpu page..
nearsha gpu and cpu client
RSA see dublin research group (also best aes imp and good mulmod on Zp or ZN)
Factor code:
Msieve 1.44 gpu download win32 binary :
with c160 gpu load 99%
On SVN source has VC2008 projects by Brian Gladman..
says 27x 9800gt vs intel core duo
examples:
9370548739750343689742077059611741296688413458087068027338328923603585147935698143105876573510157864118212297131774808193943011745511363829026508600700379919701
3414023265048252827894893895448283501597256998523545196425280040055849104721167589947328246556695586532677342768160211760950557294071424000
Mersenne programs:
Maclucasfftw_cuda (now using cufft instead of fftw) seems validated computations altough direct porting.. uses doubles so gt2xx i think and low
speed developers waiting for fermi 5x impr at least expect..
now seems gtx275 with 2048k and 4096k fft seems 2x perf over highly optimized single thread on 3ghz core 2 so at least fermi with 5x perf better than nehalem or k10 (?)
logarithm discrete solver 0.3: 0.1 in 2007 was better 16x than previous state of the art code all at x86 with 0.2 in 2008 have 64bits support and better scalability and now in spet 2009 cuda code with python interface..
the python interface is promising as has dll for cuda version so you know how to call it and has cubins.. for testing decuda..
no sources..
CPU implementations are getting faster:
GMP 5 released with better asimptotic very fast mult, div,etc.. also mingw64
support so the best probably better than before 4.3 with gladman vs2008 port using yasm and probably better than mpir as is gladman win stuff with yasm
MPIR 1.3(4) in SVN with Nehalem assembler and tuned mp_param also seems some code is very good before with fft mul,etc.. so has to test gmpbench 0.2 with mpir trunk and gmp5 x86 and 64 on windows and linux at least..
MPFQ 1.0rc2 released in october (windows support? or fixes..)
there exist MPFR and a lib using transcendentals on google code..
Also two breaktrough news:
pi world record on nehalem
768 rsa factored zimmerman stuff..
Last AMD GPU has integer sad and new integer instructions see
SA2009 course..
in parboil benchmark has sad (h.264) test would be good porting to ocl for getting sad optimized with ati ocl sad instructions what speedup vs fermi?
logarithm solver
In one year RSA, molmud, elliptic curves ops, parts of factoring in ECM and Mersenne GIMP programs, logarithm discre problem solver,have been ported:
First see Bernstein GPU work:
(e)ecm on gpu january 09 : edward curves 48g mulmod/s on 280bit mod GTX295
called gpu-ecm
software avaiable (with source)(1-fase) chung meng cheng research page..
cuda-eecm: september 09 best optimized curves edwards on cell,cpu and gpu
now 500g mulmod/s on 192 mod (scales as pow(280/192,2)) so 6-7 times faster than previous record..
CPU imp now ported from GMP to MPFQ and better EECM usage:
GMP-ECM->EECM-MPFQ software with source avaiable at:
I think gpu soon avaiable in cpu page..
nearsha gpu and cpu client
RSA see dublin research group (also best aes imp and good mulmod on Zp or ZN)
Factor code:
Msieve 1.44 gpu download win32 binary :
with c160 gpu load 99%
On SVN source has VC2008 projects by Brian Gladman..
says 27x 9800gt vs intel core duo
examples:
9370548739750343689742077059611741296688413458087068027338328923603585147935698143105876573510157864118212297131774808193943011745511363829026508600700379919701
3414023265048252827894893895448283501597256998523545196425280040055849104721167589947328246556695586532677342768160211760950557294071424000
Mersenne programs:
Maclucasfftw_cuda (now using cufft instead of fftw) seems validated computations altough direct porting.. uses doubles so gt2xx i think and low
speed developers waiting for fermi 5x impr at least expect..
now seems gtx275 with 2048k and 4096k fft seems 2x perf over highly optimized single thread on 3ghz core 2 so at least fermi with 5x perf better than nehalem or k10 (?)
logarithm discrete solver 0.3: 0.1 in 2007 was better 16x than previous state of the art code all at x86 with 0.2 in 2008 have 64bits support and better scalability and now in spet 2009 cuda code with python interface..
the python interface is promising as has dll for cuda version so you know how to call it and has cubins.. for testing decuda..
no sources..
CPU implementations are getting faster:
GMP 5 released with better asimptotic very fast mult, div,etc.. also mingw64
support so the best probably better than before 4.3 with gladman vs2008 port using yasm and probably better than mpir as is gladman win stuff with yasm
MPIR 1.3(4) in SVN with Nehalem assembler and tuned mp_param also seems some code is very good before with fft mul,etc.. so has to test gmpbench 0.2 with mpir trunk and gmp5 x86 and 64 on windows and linux at least..
MPFQ 1.0rc2 released in october (windows support? or fixes..)
there exist MPFR and a lib using transcendentals on google code..
Also two breaktrough news:
pi world record on nehalem
768 rsa factored zimmerman stuff..
Last AMD GPU has integer sad and new integer instructions see
SA2009 course..
in parboil benchmark has sad (h.264) test would be good porting to ocl for getting sad optimized with ati ocl sad instructions what speedup vs fermi?
logarithm solver
Have questions about math problems
Have questions about math problems, get help on this website. You will learn the toughest questions with the easiest way to solve it!!
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Dog Food Grading Scale
Here's an interesting tidbit I received in my email and thought I'd share:
How to grade your dog’s food: Start with a grade of 100
1. For every listing of “by-product,” subtract 10 points
2. For every non-specific animal source (meat, poultry, meal, or fat) reference, subtract 10 points
3. If the food contains BHA, BHT, or ethoxyquin, subtract 10 points
4. For every grain mill run or non-specific grain source, subtract 5 points
5. If the same grain ingredient is used 2 or more times in the first five ingredients
(i.e. ground brown rice, brewers rice, rice flour are all the same grain), subtract 5 points
6. If the protein sources are not meat meal and there are less than 2 meats in the top 3 ingredients, subtract 3 points
7. If it contains any artificial colorants, subtract 3 points
8. If it contains ground corn or whole grain corn, subtract 3 points
9. If corn is listed in the top 5 ingredients, subtract 2 more points
10. If the food contains any animal fat other than fish oil, subtract 2 points
11. If lamb is the only animal protein source (unless your dog is allergic to other protein sources), subtract 2 points
12. If it contains soy or soybeans, subtract 2 points
13. If it contains wheat (unless you know that your dog is not allergic to wheat), subtract 2 points
14. If it contains beef (unless you know that you dog is not allergic to beef), subtract 1 point
15. If it contains salt, subtract 1 point
Extra Credit:
1. If any of the meat sources are organic, add 5 points
2. If the food is endorsed by any major breed group or nutritionist, add 5 points
3. If the food is baked not extruded, add 5 points
4. If the food contains probiotics, add 3 points
5. If the food contains fruit, add 3 points
6. If the food contains vegetables (NOT corn or other grains), add 3 points
7. If the animal sources are hormone-free and antibiotic-free, add 2 points
8. If the food contains barley, add 2 points
9. If the food contains flax seed oil (not just the seeds), add 2 points
10. If the food contains oats or oatmeal, add 1 point
11. If the food contains sunflower oil, add 1 point
12. For every different specific animal protein source (other than the first one; count chicken and chicken meal as only one protein source), add 1 point
13. If it contains glucosamine and chondroitin, add 1 point
14. If the vegetables have been tested for pesticides and are pesticide-free, add 1 point
Score:
94-100+ = A The best!
86-93 = B Still good!
78-85 = C May need to change or add additives.
70-77 = D Need to think about changing.
0-69 = F Awful! Make a change!
Some Dog Food Scores:
Alpo Prime Cuts. . . . . . . . 81 C
Artemis large/medium breed puppy. . . . . . . .114 A+
Authority Harvest Baked. . . . . . . .116 A+
Bil-Jac Select. . . . . . . .68 F
Blackwood 3000 Lamb and Rice. . . . . . . .83 C
Canidae. . . . . . . .112 A+
Chicken Soup Senior. . . . . . . .115 A+
Diamond Maintenance. . . . . . . .64 F
Diamond Lamp Meal and Rice. . . . . . . .92 B
Diamond Large Breed 60+ Formula. . . . . . . .99 ADick Van Patten’s Natural Balance Ultra Premium . . . . . . . .122 A+
Dick Van Patten’s Duck and Potato. . . . . . . .106 A+
Eukanuba Large Breed Adult. . . . . . . .83 C
Eukanuba Natural Lamb and Rice. . . . 87 B
Fou! ndations . . . . . . . .106 A+
Hund-n-Flocken Adult Dog (lamb) by Solid Gold. . . . . . . .93 B
Iams Lamb Meal and Rice Formula Premium . . . . . . . .73 D
Innova Dog . . . . . . . .114 A+
Innova! Evo . . . . . . . .114 A+
Kirkland Signature Chicken, Rice, and Vegetables. . . . . . . .110 A+ COSTCO / Price Club
Nutrisource Lamb and Rice. . . . . . . .87 B
Nutro Natural Choice Large Breed Puppy. . . . . . . .87 B
Ol Roy. . . . . . . . 9 F Wal-Mart
Pedigree Adult Complete. . . . . . . .14 F
Pedigree Complete Nutrition. . . . . . . .42 F
Pet Gold Adult with Lamb and Rice. . . . . . . .23 F
ProPlan Natural Turkey and Barley. . . . . . . .103 A+
Purina Beneful. . . . . . . .17 F ***
Purina Dog. . . . . . . .62 F
Purina Come-n-Get It. . . . . . . .16 F
Royal Canin Boxer. . . . . . . .103 A +
Royal Canin Bulldog. . . . . . . .100 A+
Royal Canin Natural Blend Adult. . . . . . . .106 A+
Sensible Choice Chicken and Rice. . . . . . . .97 A
Science Diet Advanced Protein Senior 7+. . . . . . . . 63 F PetsMart
Science Diet for Large Breed Puppies. . . . . . . . 69 F
Solid Gold. . . . . . . .99 A
Timberwolf Organics Lamb and Venison. . . . . . . . 136 A+
Wellness Super5 Mix Chicken. . . . . . . .110 A+
Wolfking Adult Dog (bison) by Solid Gold . . . . . . . .97 A
More info is available at Dog Food Analysis.
Some foods may have been reformulated since this initial evaluation and their values may have changed.
grading scale percentages
How to grade your dog’s food: Start with a grade of 100
1. For every listing of “by-product,” subtract 10 points
2. For every non-specific animal source (meat, poultry, meal, or fat) reference, subtract 10 points
3. If the food contains BHA, BHT, or ethoxyquin, subtract 10 points
4. For every grain mill run or non-specific grain source, subtract 5 points
5. If the same grain ingredient is used 2 or more times in the first five ingredients
(i.e. ground brown rice, brewers rice, rice flour are all the same grain), subtract 5 points
6. If the protein sources are not meat meal and there are less than 2 meats in the top 3 ingredients, subtract 3 points
7. If it contains any artificial colorants, subtract 3 points
8. If it contains ground corn or whole grain corn, subtract 3 points
9. If corn is listed in the top 5 ingredients, subtract 2 more points
10. If the food contains any animal fat other than fish oil, subtract 2 points
11. If lamb is the only animal protein source (unless your dog is allergic to other protein sources), subtract 2 points
12. If it contains soy or soybeans, subtract 2 points
13. If it contains wheat (unless you know that your dog is not allergic to wheat), subtract 2 points
14. If it contains beef (unless you know that you dog is not allergic to beef), subtract 1 point
15. If it contains salt, subtract 1 point
Extra Credit:
1. If any of the meat sources are organic, add 5 points
2. If the food is endorsed by any major breed group or nutritionist, add 5 points
3. If the food is baked not extruded, add 5 points
4. If the food contains probiotics, add 3 points
5. If the food contains fruit, add 3 points
6. If the food contains vegetables (NOT corn or other grains), add 3 points
7. If the animal sources are hormone-free and antibiotic-free, add 2 points
8. If the food contains barley, add 2 points
9. If the food contains flax seed oil (not just the seeds), add 2 points
10. If the food contains oats or oatmeal, add 1 point
11. If the food contains sunflower oil, add 1 point
12. For every different specific animal protein source (other than the first one; count chicken and chicken meal as only one protein source), add 1 point
13. If it contains glucosamine and chondroitin, add 1 point
14. If the vegetables have been tested for pesticides and are pesticide-free, add 1 point
Score:
94-100+ = A The best!
86-93 = B Still good!
78-85 = C May need to change or add additives.
70-77 = D Need to think about changing.
0-69 = F Awful! Make a change!
Some Dog Food Scores:
Alpo Prime Cuts. . . . . . . . 81 C
Artemis large/medium breed puppy. . . . . . . .114 A+
Authority Harvest Baked. . . . . . . .116 A+
Bil-Jac Select. . . . . . . .68 F
Blackwood 3000 Lamb and Rice. . . . . . . .83 C
Canidae. . . . . . . .112 A+
Chicken Soup Senior. . . . . . . .115 A+
Diamond Maintenance. . . . . . . .64 F
Diamond Lamp Meal and Rice. . . . . . . .92 B
Diamond Large Breed 60+ Formula. . . . . . . .99 A
Dick Van Patten’s Duck and Potato. . . . . . . .106 A+
Eukanuba Large Breed Adult. . . . . . . .83 C
Eukanuba Natural Lamb and Rice. . . . 87 B
Fou! ndations . . . . . . . .106 A+
Hund-n-Flocken Adult Dog (lamb) by Solid Gold. . . . . . . .93 B
Iams Lamb Meal and Rice Formula Premium . . . . . . . .73 D
Innova Dog . . . . . . . .114 A+
Innova! Evo . . . . . . . .114 A+
Kirkland Signature Chicken, Rice, and Vegetables. . . . . . . .110 A+ COSTCO / Price Club
Nutrisource Lamb and Rice. . . . . . . .87 B
Nutro Natural Choice Large Breed Puppy. . . . . . . .87 B
Ol Roy
Pedigree Adult Complete. . . . . . . .14 F
Pedigree Complete Nutrition. . . . . . . .42 F
Pet Gold Adult with Lamb and Rice. . . . . . . .23 F
ProPlan Natural Turkey and Barley. . . . . . . .103 A+
Purina Beneful. . . . . . . .17 F ***
Purina Dog. . . . . . . .62 F
Purina Come-n-Get It. . . . . . . .16 F
Royal Canin Boxer. . . . . . . .103 A +
Royal Canin Bulldog. . . . . . . .100 A+
Royal Canin Natural Blend Adult. . . . . . . .106 A+
Sensible Choice Chicken and Rice. . . . . . . .97 A
Science Diet Advanced Protein Senior 7+. . . . . . . . 63 F PetsMart
Science Diet for Large Breed Puppies. . . . . . . . 69 F
Solid Gold. . . . . . . .99 A
Timberwolf Organics Lamb and Venison. . . . . . . . 136 A+
Wellness Super5 Mix Chicken. . . . . . . .
Wolfking Adult Dog (bison) by Solid Gold
More info is available at Dog Food Analysis.
Some foods may have been reformulated since this initial evaluation and their values may have changed.
grading scale percentages
math hep online~
I know most of you bloggers are K-12 and college students. So are you looking for a way to Solve Math problems? If you are, you can go to TutorVista.com . TutorVista is an online source for Math help. This site provides free Math online tutoring program especially for you. You can take advantage of the internet technology to get the best Math help without having to spend much money.
The Free Math help online from TutorVista covers all topics in Math such as Algebra, Calculus, Pre-calculus, Geometry! , Trigonometry, Statistics, Probability, and many more. The best thing about the online Math tutoring program is that you can connect to the Math tutor. He will guide you step by step to understand the Math concepts. It’s just like having your own private tutor. When you are dealing with algebra problems, you can get algebra help from TutorVista. The free algebra help is the best deal you can take to solve the algebra problems.
No matter what math problems you face, TutorVista will give you the easy and fast solutions. If you want to solve fractions, the tutor will guide you to solve any fraction problems. Meanwhile, TutorVista also provides Math homework help in which you can get the right answers and detail explanations for the homework. Just visit TutorVista for Math Help online.
*this sponsored post is brought to you by kuE for TutorVista.com
math image above is courtesy of freeimageslive.co.uk
The Free Math help online from TutorVista covers all topics in Math such as Algebra, Calculus, Pre-calculus, Geometry! , Trigonometry, Statistics, Probability, and many more. The best thing about the online Math tutoring program is that you can connect to the Math tutor. He will guide you step by step to understand the Math concepts. It’s just like having your own private tutor. When you are dealing with algebra problems, you can get algebra help from TutorVista. The free algebra help is the best deal you can take to solve the algebra problems.
No matter what math problems you face, TutorVista will give you the easy and fast solutions. If you want to solve fractions, the tutor will guide you to solve any fraction problems. Meanwhile, TutorVista also provides Math homework help in which you can get the right answers and detail explanations for the homework. Just visit TutorVista for Math Help online.
*this sponsored post is brought to you by kuE for TutorVista.com
free math tutor chat
AN INTERESTING FACT IN FEBRAURY 2010
An interesting fact about Febraury 2010.
4 Sundays
4 Mondays
4 Tuesday
4 Wednesday
4 Thursday
4 Friday
4 Saturday
REALLY AMAGING
dy dx calculator
Financial Advisor Dave Ramsey's Debt Snowball Debt Reduction Plan
Financial Advisor Dave Ramsey's Debt Snowball Method for paying off debts
In the last few posts I have been writing about financial advisor Dave Ramsey and all of the incredible personal financial advising information he has to offer. Their are most certainly Dave Ramsey critics out there but for the most part everyone thinks that the information he offers is extremely helpful. The only complaints come from those that argue that his plan for financial freedom and financial peace is to conservative. I could agree with this if it was not for the debt epidemic among Americans. Unfortunately the criticisms from these critics does not take into account the fact that a lot of Americans do not have the discipline to pay off their credit cards in full every month or keep a handle on their debt.
Today I wanted to talk in detail about financial advisor Dave Ramsey's Debt Snowball reduction plan for paying off ! debts. This plan shows us excellent ways to get out of debt. The Debt Snowball reduction plan is the second step in financial advisor Dave Ramsey's 7 Baby Steps to Financial Peace training course and is probably the most important step in a persons quest for financial freedom and financial peace.
The ideology behind financial advisor Dave Ramsey's Debt Snowball reduction plan is to organize all of your debts and setup an easy, manageable, and results oriented plan for paying these debts off. These debts can include credit cards, car loans, student loans, payday loans, faxless payday loans or personal loans. It basically includes any debt that you have excluding your home mortgage.
The first step in the financial advising debt snowba! ll debt reduction plan is to make a excel spreadsheet list of ! all of y our debts with the lowest balance at the top of the list. He doesn't actually suggest personal debt consolidation but rather thinks you should pay off each debt ASAP starting with the smallest. After you make this list you then need to allocate as much of your monthly budget as you possibly can to debt elimination. After you have listed your debts in order from lowest to highest and decided how much you can put toward debt each month you need to determine what your payments for each account should be. This financial advising step is very simple. In the debt snowball debt reduction plan you pay only the minimum payment toward each debt you have except for the one at the top of the list (one with the lowest balance).
The plan is to pay off the smallest debt as quickly as possible and then once it is paid off you move on to the next smallest debt you have. When you move on to the second debt on your excel spre! adsheet you then allocate the whole amount that was originally going to your smallest debt (the debt that is now paid off). These means that you will continue with the minimum you were paying on the now smallest debt and add the total amount that was going to your debt that is now paid off. After paying of the second smallest debt on your debt snowball excel spreadsheet you will move on to the third smallest.
The idea with the debt snowball reduction plan is to continue doing this until you have paid off all of your debts (excluding your house payment). Financial advisor Dave Ramsey's rational with the debt snowball method is to gain steam and see results by paying off the smallest debts first. The Debt Snowball method will help you to see real results and help motivate you to continue. For most people they need to see results and feel like they are making progress or they will quite within 6 months of starting a plan to pay off their debt.
Below I hav! e included an example of the financial advisor Dave Ramsey deb! t snowba ll debt reduction plan for my readers. I have also included several links to Debt Snowball Calculators. The debt snowball calculator should help give you an idea of how long it will take to pay off each debt.
Example of the debt snowball method (Courtesy of Wikipedia)
Ignoring interest rates, let's pretend you have the following debt and minimum payments:
Car Payment - $2500 balance - $150/month minimum
Credit Card A - $250 balance - $25/month minimum
Loan - $5000 balance - $200/month minimum
Credit Card B - $500 balance - $26/month minimum
Your minimum payments for all debt would be $401 per month. You would order your debts in the following order (lowest to highest):
Credit Card A - $250 balance - $25/month minimum
Credit Card B - $500 balance - $26/month minimum
Car Payment - $2500 balance - $150/month minimum
Loan - $5000 balance - $200/month minimum
Now, assuming you had $100 extra per month to send in, you would apply that $100 to the Credit Card A so that the payment for it would be $125 per month and the other debt would receive the minimums.
After Credit Card A is paid off (in two months), you would apply the extra $100 to Credit Card B PLUS the $25 you were sending in to Credit Card A. So now your payment to Credit Card B would be: $26 normal minimum + $25 that you normally sent in to Credit Card A + $100 that you are able to send extra.
Your payment to Credit Card B would be $151 instead of $26. Therefore, you would pay it off much faster. Then, when Credit Card B is paid off, you would now send in the following to the Car Payment: $150 normal minimum + $25 that you normally sent in to Credit Card A + $26 that you normally sent in to Credit Card B + $100 that you are able to send extra. Your payment to Car Payment would now be $301 instea! d of $150.
To follow the debt snowball debt reducti! on plan you would simply continue to follow this plan until all debts were paid off.
Links to a download able and java script debt snowball calculator: (The java script one is more like a debt snowball calc and the other two would probably be considered debt snow ball calc software.)
Downloadable Excel Spreadsheet Debt Snowball Calculator
Java Script Debt Snowball Calculator
Mr. Peanut Debt Snowball Calculator
The debt snowball debt reduction plan is one of the best plans available for paying off debt. It helps people to see immediate results and gain momentum! in their plan to be debt free. Go ahead and start your own debt snowball reduction plan and begin your journey toward financial freedom and financial peace.
Financial advisor Dave Ramsey is personal finance expert who specializes in giving out information to help people get out of debt and achieve financial peace. His radio show The Dave Ramsey Show is aired on over 300 different radio stations each day and heard by over 3 million listeners. Dave Ramsey is also the author of many great books including The Total Money Makeover, Financial Peace, and More Than Enough.
-Jesse
P.S. If your are looking for a personal financial advisor please email me and I will give you suggestions on which financial advising companies to consider.
elimination method calculator
Fractions to decimals calculator
This is the COOLEST fractions to decimals calculator I've seen! It will convert a fraction into a decimal to any number of decimal places, and TELL you if it is a recurring decimal, and how many digits its period is.
I tried 2/10392, and it said "2/10392=1/5196 has 2 initial digits followed by a period of 432 digits." I won't copy the actual digits here...
Hat Tip goes to MathNotations Blog.
dividing decimals calculator
Flight Attendant Hiring Update: 08/21/10
As of 08/21/10, there are 31 airlines either hiring flight attendants and/or Inflight Managers or are accepting resumes/applications.
Here are a few of the airlines that are hiring flight attendants/managers or have upcoming Open House Interview(s):
Air Canada
Now interviewing for Toronto based flight attendants. Apply online. See website for details.
Air Wisconsin
Open House Interview(s): 8/25 - Philadelphia(Lester), PA. Now interviewing flight attendant applicants for selected domiciles. Apply online. See website for details.
Atlantic Southeast
Now interviewing flight attendants for various crew bases. Apply online. See website for details.
Cathay Pacific
Now interviewing for San Francisco and Los Angeles based flight attendants. US citizenship or individuals with resident status or the right to live and work in the United States may apply. Must be 19 and be fluent in written and spoken English and be fluent in one of the following languages: Cantonese, Mandarin, Vietnamese, Tagalog, or Japanese. Interested applicants should send a resume via email. See website for details.
Colgan Air
Now hiring for Albany, Newark, Washington Dulles and Houston bases. To apply, email resume to employment@colganair.com. See website for details.
Comair
Interviewing for Erlanger, KY based Inflight Manager. No flight attendant Hiring. See website for updates.
Emirates
The Emirates Cabin Crew Recruitment Team has resumed hiring. Apply online or in person in Dubai. See website for more details.
GoJet
Accepting applications for flight attendant positions. Apply online or send resume to: 11495 Navaid Road, Suite 133, Bridgeton, MO 63044. You may also fax or email. Fax number: 314-222-4399. Email: recruiting@gojetairlines.com. See website for more details.
Mesa
Ongoing flight attendant hiring. See website for details.
Mesaba
Open House Interview(s): 8/31 - Bloomington, MN. Now interviewing for Minneapolis, Memphis and Detroit based flight attendants. See website for more details.
Piedmont
Piedmont Airlines/US Airways Express is currently accepting resumes. Apply online. See website for details.
Pinnacle
Open House Interview(s): 8/27, 8/28 - East Elmhurst, NY. Interviewing for new JFK base. Download application from the Pinnacle website and bring resume. Please check the Pinnacle website for more details.
Qatar Airways
Open House Interview(s): 8/28 - London Gatwick , UK; 8/29 - Kiev, Ukraine; 8/29 - Amritsar, India; 9/4 - Pune, India; 9/4 - Shanghai, China ; 9/4 - Kuala Lumpur, Malaysia; 9/4 - Bratislava, Slovakia. Qatar is a multinational airline hiring candidates from all nationalities. Apply online. See website for more details.
Virgin America
Virgin America is now hiring Inflight Team Members (flight attendants) for their San Francisco base.
Want more airline specific information?
Become a member of AirlineCareer.com right now and gain access
to the complete 'Who's Hiring' chart on the Members' home page.
The 'Who's Hiring?' chart monitors the hiring status at 54 airlines and provides continuous updates on airline Open House dates, locations, recalls and furloughs with direct links to the company web site for additional details.
------------------------------------------------------------
To have blog updates delivered to your desktop, click here.
FREE Report: "Insider's Guide to Flight Attendant Interviewing." This report, written by actual flight attendant recruiters, reveals many of the secrets you must know to get hired. For more info on how to claim your FREE report, visit the AirlineCareer.com website: www.airlinecareer.com
To follow us on Twitter, click here.
Forward this post to a friend! Click on the envelope icon below.
applications of bases
Here are a few of the airlines that are hiring flight attendants/managers or have upcoming Open House Interview(s):
Air Canada
Now interviewing for Toronto based flight attendants. Apply online. See website for details.
Air Wisconsin
Open House Interview(s): 8/25 - Philadelphia(Lester), PA. Now interviewing flight attendant applicants for selected domiciles. Apply online. See website for details.
Atlantic Southeast
Now interviewing flight attendants for various crew bases. Apply online. See website for details.
Cathay Pacific
Now interviewing for San Francisco and Los Angeles based flight attendants. US citizenship or individuals with resident status or the right to live and work in the United States may apply. Must be 19 and be fluent in written and spoken English and be fluent in one of the following languages: Cantonese, Mandarin, Vietnamese, Tagalog, or Japanese. Interested applicants should send a resume via email. See website for details.
Colgan Air
Now hiring for Albany, Newark, Washington Dulles and Houston bases. To apply, email resume to employment@colganair.com. See website for details.
Comair
Interviewing for Erlanger, KY based Inflight Manager. No flight attendant Hiring. See website for updates.
Emirates
The Emirates Cabin Crew Recruitment Team has resumed hiring. Apply online or in person in Dubai. See website for more details.
GoJet
Accepting applications for flight attendant positions. Apply online or send resume to: 11495 Navaid Road, Suite 133, Bridgeton, MO 63044. You may also fax or email. Fax number: 314-222-4399. Email: recruiting@gojetairlines.com. See website for more details.
Mesa
Ongoing flight attendant hiring. See website for details.
Mesaba
Open House Interview(s): 8/31 - Bloomington, MN. Now interviewing for Minneapolis, Memphis and Detroit based flight attendants. See website for more details.
Piedmont
Piedmont Airlines/US Airways Express is currently accepting resumes. Apply online. See website for details.
Pinnacle
Open House Interview(s): 8/27, 8/28 - East Elmhurst, NY. Interviewing for new JFK base. Download application from the Pinnacle website and bring resume. Please check the Pinnacle website for more details.
Qatar Airways
Open House Interview(s): 8/28 - London Gatwick , UK; 8/29 - Kiev, Ukraine; 8/29 - Amritsar, India; 9/4 - Pune, India; 9/4 - Shanghai, China ; 9/4 - Kuala Lumpur, Malaysia; 9/4 - Bratislava, Slovakia. Qatar is a multinational airline hiring candidates from all nationalities. Apply online. See website for more details.
Virgin America
Virgin America is now hiring Inflight Team Members (flight attendants) for their San Francisco base.
Want more airline specific information?
Become a member of AirlineCareer.com right now and gain access
to the complete 'Who's Hiring' chart on the Members' home page.
The 'Who's Hiring?' chart monitors the hiring status at 54 airlines and provides continuous updates on airline Open House dates, locations, recalls and furloughs with direct links to the company web site for additional details.
------------------------------------------------------------
To have blog updates delivered to your desktop, click here.
FREE Report: "Insider's Guide to Flight Attendant Interviewing." This report, written by actual flight attendant recruiters, reveals many of the secrets you must know to get hired. For more info on how to claim your FREE report, visit the AirlineCareer.com website: www.airlinecareer.com
To follow us on Twitter, click here.
Forward this post to a friend! Click on the envelope icon below.
applications of bases
Graphing - Equation of the Line
If you are given a line on a graph (or enough information to construct a line), you will likely also be asked to find the equation of the line. The equation of the line is unique to each line; that is, every line has a different equation. With it, you can readily tell the slope of the line, and you can calculate what the x-value is for any y-value on the line (and vice versa). It is very handy!
The most common and basic form of the equation of the line is:
where m is the slope and b is the y-intercept (where the line crosses through the y-axis).
Another way to write it, which is more general is called the POINT-SLOPE FORMULA:
where m is the slope, and x1 and y1 are the coordinates of a known point on the graph. (If you pay close attention, you can see that this way of writing it is really the same as t! he slope formula, but rearranged!) The version basically says 'give any point at all, and a slope, and you have enough information to draw the line."
Let's use the graph from the slope lesson to practice, using points (2,1) and (7,7). To get our final answer, we are going to have to do a couple of steps first. Let's use the y=mx+b equation. The steps we are going to do are:
1) Find the slope
2) Find the y-intercept
3) Write the equation of the line
Finding the slope is easy now, if you read the posting on slopes (I always leave numbers as fractions, instead of changing to decimals):
m = (y2-y1)/(x2-x1)
= (7-1)/(7-2)
= 6/5
The y-intercept is easy now... just plug numbers into y=mx+b, and solve for b. So, b=y-mx. We have our slope now, and for y and x, we ju! st substitute in the coordinates of a single point (x and y MUST be from the same point!)
b=y-mx
= 1-(6/5) x 2
= 1-12/5
= (-7/5) (you have to do some fraction math!)
So now we can write the equation of our line!
y = mx+b
y = (6/5)x - (7/5).... (if we leave it like this, we can read the values for slope and y-int right from the equation!)
y = (6x - 7)/5
If we work through using the other formula... (y-y1) = m(x-x1)... we get the same answer, and we don't have to explicitly solve for b! First, solve for slope. Second, substitute in values for slope and x1,y1, and then rearrange!
slope = 6/5 (same thing we did above)
so (y-y1) = m(x-x1)..... (sub in slope, and point (2,1) for (x1,y1))
(y-1) = (6/5)(x-2)...
y=(6/5)(x-2) + 1...
y = (6/5)x - (6/5)2 + 1...
y=(6/5)x -12/5 + 1...
y=(6/5)x -(7/5)... (same slope ! and y-int)
y=(6x-7)/5
Same answer! That is the equation of the line. Now if you put in any value for x, you can say exactly what the value for y would be... if you wanted to know what y is when x is 1000, you can do that now! You will see that it will always be on the same straight line.
If we work through and do the same thing for the red line on the graph, with points (-6,2) and (-4,-5), we can get the equation for that line too! Let's try it this time using just the one formula.
(y-y1) = m(x-x1)
((-5)-2) = m((-4)-(-6))
(-7) = m(2)
m=(-7/2)
Now put that back into the same formula along with a point, and rearrange:
(y-y1) = m(x-x1)
(y-2) = (-7/2)(x-(-6))
y-2 = (-7/2)(x+6)
y= (-7/2)x + (-7/2)(6) + 2
y = (-7/2)x -21 + 2
y = (-7/2)x -19
(see slope (-7/2) and y-int (-19)... look at the graph, and you will see that makes sense! Negative slope, very low y-int!)
That's all there is to it! Just remember that there a! re a few steps to follow, depending on the formula you are using... basically, remember to always find the slope first, then the y-intercept, and plug directly into y=mx+b... or use the point-slope formula to find the slope using 2 points, and then resubstitute it back in with a single point and rearrange. It's not that complicated once you practice and understand what you are doing! Either method is going to give you the same answer, so pick your favorite and stick with it!
Problems on Straight Line Equation
The most common and basic form of the equation of the line is:
y = mx + b
where m is the slope and b is the y-intercept (where the line crosses through the y-axis).
Another way to write it, which is more general is called the POINT-SLOPE FORMULA:
(y-y1) = m(x-x1)
where m is the slope, and x1 and y1 are the coordinates of a known point on the graph. (If you pay close attention, you can see that this way of writing it is really the same as t! he slope formula, but rearranged!) The version basically says 'give any point at all, and a slope, and you have enough information to draw the line."
Let's use the graph from the slope lesson to practice, using points (2,1) and (7,7). To get our final answer, we are going to have to do a couple of steps first. Let's use the y=mx+b equation. The steps we are going to do are:
1) Find the slope
2) Find the y-intercept
3) Write the equation of the line
Finding the slope is easy now, if you read the posting on slopes (I always leave numbers as fractions, instead of changing to decimals):
m = (y2-y1)/(x2-x1)
= (7-1)/(7-2)
= 6/5
The y-intercept is easy now... just plug numbers into y=mx+b, and solve for b. So, b=y-mx. We have our slope now, and for y and x, we ju! st substitute in the coordinates of a single point (x and y MUST be from the same point!)
b=y-mx
= 1-(6/5) x 2
= 1-12/5
= (-7/5) (you have to do some fraction math!)
So now we can write the equation of our line!
y = mx+b
y = (6/5)x - (7/5).... (if we leave it like this, we can read the values for slope and y-int right from the equation!)
y = (6x - 7)/5
If we work through using the other formula... (y-y1) = m(x-x1)... we get the same answer, and we don't have to explicitly solve for b! First, solve for slope. Second, substitute in values for slope and x1,y1, and then rearrange!
slope = 6/5 (same thing we did above)
so (y-y1) = m(x-x1)..... (sub in slope, and point (2,1) for (x1,y1))
(y-1) = (6/5)(x-2)...
y=(6/5)(x-2) + 1...
y = (6/5)x - (6/5)2 + 1...
y=(6/5)x -12/5 + 1...
y=(6/5)x -(7/5)... (same slope ! and y-int)
y=(6x-7)/5
Same answer! That is the equation of the line. Now if you put in any value for x, you can say exactly what the value for y would be... if you wanted to know what y is when x is 1000, you can do that now! You will see that it will always be on the same straight line.
If we work through and do the same thing for the red line on the graph, with points (-6,2) and (-4,-5), we can get the equation for that line too! Let's try it this time using just the one formula.
(y-y1) = m(x-x1)
((-5)-2) = m((-4)-(-6))
(-7) = m(2)
m=(-7/2)
Now put that back into the same formula along with a point, and rearrange:
(y-y1) = m(x-x1)
(y-2) = (-7/2)(x-(-6))
y-2 = (-7/2)(x+6)
y= (-7/2)x + (-7/2)(6) + 2
y = (-7/2)x -21 + 2
y = (-7/2)x -19
(see slope (-7/2) and y-int (-19)... look at the graph, and you will see that makes sense! Negative slope, very low y-int!)
That's all there is to it! Just remember that there a! re a few steps to follow, depending on the formula you are using... basically, remember to always find the slope first, then the y-intercept, and plug directly into y=mx+b... or use the point-slope formula to find the slope using 2 points, and then resubstitute it back in with a single point and rearrange. It's not that complicated once you practice and understand what you are doing! Either method is going to give you the same answer, so pick your favorite and stick with it!
Problems on Straight Line Equation
Mathematic Books and Video Lectures - Useful Links
List of Topics
Algebra Review
Intermediate Algebra
Course covers: the real numbers, linear equations, linear inequalities and absolute value, linear equations and inequalities in two variables, systems of linear equations, exponents, polynomials and polynomial functions, factoring, rational expressions, roots and radicals, quadratic equations and inequalities.
Elementary Statistics
The course introduces the student to applications in engineering, business, economics, medicine, education, the sciences, and other related fields. The use of technology (computers or graphing calculators) will be required in certain applications.
Course covers: Sampling and data. Statistical graphs, quartiles and percentiles, mean, median, mode, variance and standard deviation. Basic probability, independent and dependent events, addition and multiplication rules. Discrete random variables, discrete probability distribution functions, expected value, binomial probability distribution function. Continuous random variables, continuous probability distribution functions, uniform probability distribution, exponential probability distribution. The normal probability distribution function, standard normal probability density function. Central limit theorem for averages and sums. Confidence intervals. Hypothesis testing. The Chi-Square distribution function. Linear regression and correlation.
Applied Probability (5 lectures)
Finite Mathematics with Applications
Trigonometry for Calculus
Course covers the Cartesian coordinate system, functions, angle and radian measure, special right triangles, the unit circle, the trigonometric ratios, graphs of trig. ratios, periodic functions, fundamental trigonometric identities and inverse trigonometric functions.
Introduction to Mathematical Computation
Throughout the course we will illustrate application of software in typical undergraduate mathematical subjects such as calculus, probability, linear algebra, and number theory. Further, we will move to structural programming. We conclude the course by illustrating elements of contemporary platform independent language, java. No programming experience required
Course covers: Basic commands in Mathematica, Mathematica in Calculus, Mathematica in Probability, Mathematica and Linear Algebra, Mathematica and Number Theory, Mathematica and structural programming, Introduction to Java.
Note: Links to lectures 6 - 17 are missing. You can access them by changing the last number of the link to the first 5 lectures. Example: to access lecture 12 use address http://130.212.40.150:8080/ramgen/mathematica/lecture12.rm, etc.
Pre-Calculus and Introduction to Analytic Geometry
Course covers: equations and identities, graphs, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, analytic geometry.
First Year Calculus (Calculus I)
Course covers: limits, limit laws, continuity, limits involving infinity, rates of change, derivatives, differentiation rules, product and quotient rules, rates of change in science, derivatives of trigonometric functions, the chain rule, implicit differentiation, logarithmic differentiation, maxima and minima, mean value theorem, L'Hospital's rule, optimization problems, areas and distances, definite integral, fundamental theorem of calculus.
Business Calculus
Course covers limits, one-sided limits and continuity, the derivative, basic rules of differentiation, the product and quotient rules, the chain rule, higher order derivatives, basic applications of derivative, marginal functions in economics, applications of the first derivative, applications of the second derivative, curve sketching, absolute extrema, optimization, applications with exponential functions, antiderivatives, integration by substitution, area under the curve - Riemann Sums, the fundamental theorem of calculus, evaluation of definite integral, area between two curves, functions of several variables, partial derivatives, relative extrema.
Mathematical Writing (by Donald E. Knuth!)
"I also gave a class called Mathematical Writing, just for one quarter," says Knuth. "The lectures are still of special interest because they feature quite a few important guest lecturers." This collection contains thirty-one tapes.
Mathematics and Computer Science Problem Seminar (by Donald E. Knuth!)
According to D. E. Knuth course is given only once in two years because it takes him two years to think of good enough problems. The goal of the course it to understand problem solving in general and not just to solve those 5 problems and to get into as many of the different areas of computer science research as possible.
"This was an experimental project where we'd have three or four cameras in a basement studio and we would film classes of about an hour," says Knuth. "We got a bunch of our brightest students and gave them extremely difficult problems. You could literally see the Aha taking place. People can watch the problem-solving process as it occurred." Over 25 hours of these sessions are available for viewing.
Dynamical Systems and Chaos
Then we will study bifurcations on the example of dynamics of quadratic maps. The quadratic family will be used to demonstrate the transition to chaos and the main features of chaotic behaviour. We will touch Sarkovsii's Theorem and Newton's Method.
Elements of Symbolic Dynamics and subshifts of finite type will be considered. Then we will move to fractals and discuss fractal dimension and related topics. After that we will introduce Holomorphic Dynamics and the main objects such as Julia sets and the Mandelbrot set. Time permitting, we will consider some rational maps in dimension two and higher. Henon map will be considered, as well as some maps arising in the theory of fractal groups, and the Smale horse shoe map. We will consider also spectra and spectral measures related to such groups and to fractal sets like Sierpinski gasket or Cantor set.
Computer Musings Lecture Series (by Donald E. Knuth)
?These lectures I'?ve given have been inspired and shaped by the questions and responses of the audiences to whom I spoke, and I want to keep them alive,prof. D.E.Knuth explains. We'?ve got these tapes and the world is going digital; Stanford Centre for Professional Development has the talent and expertise to convert them. I feel that archiving is important. I'?ve learned from archived lectures and classes myself, so I think others can learn from these.
A sampling of musings includes:
"Other" Donald E. Knuth Lectures
Also available are two five-session short courses about TeX (1981); twelve lectures about the implementation of TeX (1982); video recordings of eight history sessions about Computer Science at Stanford, taped in 1987 and featuring many alumni of our department; and some reminiscences by Professors Feigenbaum, Floyd, Golub, Herriot, Knuth, McCarthy, Miller, and Wiederhold about the founding of Stanford's Computer Science Department, The Living Legends (1997).
Questions from audience and students are important to the learning process, according to Knuth. Sometimes the expression of a more mature idea isn't the most interesting or effective way to learn you may learn more from how a professor reacts to an idea or a question. He pauses, and then adds, People might learn a lot from watching me fumble around to answer a question.
graphing linear inequalities
- Intermediate Algebra
- Elementary Statistics
- Applied Probability
- Finite Mathematics with Applications
- Trigonometry for Calculus
- Introduction to Mathematical Computation
- Pre-Calculus and Introduction to Analytic Geometry
- First Year Calculus (Calculus I)
- Business Calculus
- Mathematical Writing
- Mathematics and Computer Science Problem Seminar
- Dynamical Systems and Chaos
- Computer Musings Lecture Series
Algebra Review
- Video Lectures: Math 160 (University of Idaho)
Intermediate Algebra
- Video Lectures: Math 108 (University of Idaho)
- Course website
Course covers: the real numbers, linear equations, linear inequalities and absolute value, linear equations and inequalities in two variables, systems of linear equations, exponents, polynomials and polynomial functions, factoring, rational expressions, roots and radicals, quadratic equations and inequalities.
Elementary Statistics
- Video lectures (De-Anza College)
- Course website
The course introduces the student to applications in engineering, business, economics, medicine, education, the sciences, and other related fields. The use of technology (computers or graphing calculators) will be required in certain applications.
Course covers: Sampling and data. Statistical graphs, quartiles and percentiles, mean, median, mode, variance and standard deviation. Basic probability, independent and dependent events, addition and multiplication rules. Discrete random variables, discrete probability distribution functions, expected value, binomial probability distribution function. Continuous random variables, continuous probability distribution functions, uniform probability distribution, exponential probability distribution. The normal probability distribution function, standard normal probability density function. Central limit theorem for averages and sums. Confidence intervals. Hypothesis testing. The Chi-Square distribution function. Linear regression and correlation.
Applied Probability (5 lectures)
- Video Lectures at ArsDigita University
- Mirror at ArsDigita
- High Speed Mirror at Internet Archive
- Course website
Finite Mathematics with Applications
- Video Lectures: Math 1313 (University of Houston)
Trigonometry for Calculus
- Video Lectures: Math 144 (University of Idaho)
- Course website
Course covers the Cartesian coordinate system, functions, angle and radian measure, special right triangles, the unit circle, the trigonometric ratios, graphs of trig. ratios, periodic functions, fundamental trigonometric identities and inverse trigonometric functions.
Introduction to Mathematical Computation
- Video Lectures: Math 309 (San Francisco State University)
- Course website
Throughout the course we will illustrate application of software in typical undergraduate mathematical subjects such as calculus, probability, linear algebra, and number theory. Further, we will move to structural programming. We conclude the course by illustrating elements of contemporary platform independent language, java. No programming experience required
Course covers: Basic commands in Mathematica, Mathematica in Calculus, Mathematica in Probability, Mathematica and Linear Algebra, Mathematica and Number Theory, Mathematica and structural programming, Introduction to Java.
Note: Links to lectures 6 - 17 are missing. You can access them by changing the last number of the link to the first 5 lectures. Example: to access lecture 12 use address http://130.212.40.150:8080/ramgen/mathematica/lecture12.rm, etc.
Pre-Calculus and Introduction to Analytic Geometry
- Video Lectures: Math 143 (University of Idaho)
- Course website
Course covers: equations and identities, graphs, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, analytic geometry.
First Year Calculus (Calculus I)
- Video Lectures: Math 226.01 (San Francisco State University)
- Course website
Course covers: limits, limit laws, continuity, limits involving infinity, rates of change, derivatives, differentiation rules, product and quotient rules, rates of change in science, derivatives of trigonometric functions, the chain rule, implicit differentiation, logarithmic differentiation, maxima and minima, mean value theorem, L'Hospital's rule, optimization problems, areas and distances, definite integral, fundamental theorem of calculus.
Business Calculus
- Video Lectures: Math 1314 (University of Houston)
Course covers limits, one-sided limits and continuity, the derivative, basic rules of differentiation, the product and quotient rules, the chain rule, higher order derivatives, basic applications of derivative, marginal functions in economics, applications of the first derivative, applications of the second derivative, curve sketching, absolute extrema, optimization, applications with exponential functions, antiderivatives, integration by substitution, area under the curve - Riemann Sums, the fundamental theorem of calculus, evaluation of definite integral, area between two curves, functions of several variables, partial derivatives, relative extrema.
Mathematical Writing (by Donald E. Knuth!)
- Video lectures: CS209 (Stanford University, 1987)
- Lecture notes (pdf)
"I also gave a class called Mathematical Writing, just for one quarter," says Knuth. "The lectures are still of special interest because they feature quite a few important guest lecturers." This collection contains thirty-one tapes.
Mathematics and Computer Science Problem Seminar (by Donald E. Knuth!)
- Video lectures: CS204 (Stanford University, 1985)
- Notes on problems (pdf)
According to D. E. Knuth course is given only once in two years because it takes him two years to think of good enough problems. The goal of the course it to understand problem solving in general and not just to solve those 5 problems and to get into as many of the different areas of computer science research as possible.
"This was an experimental project where we'd have three or four cameras in a basement studio and we would film classes of about an hour," says Knuth. "We got a bunch of our brightest students and gave them extremely difficult problems. You could literally see the Aha taking place. People can watch the problem-solving process as it occurred." Over 25 hours of these sessions are available for viewing.
Dynamical Systems and Chaos
- Video Lectures: Math 614 (University of Texas A&M)
- Course website
Then we will study bifurcations on the example of dynamics of quadratic maps. The quadratic family will be used to demonstrate the transition to chaos and the main features of chaotic behaviour. We will touch Sarkovsii's Theorem and Newton's Method.
Elements of Symbolic Dynamics and subshifts of finite type will be considered. Then we will move to fractals and discuss fractal dimension and related topics. After that we will introduce Holomorphic Dynamics and the main objects such as Julia sets and the Mandelbrot set. Time permitting, we will consider some rational maps in dimension two and higher. Henon map will be considered, as well as some maps arising in the theory of fractal groups, and the Smale horse shoe map. We will consider also spectra and spectral measures related to such groups and to fractal sets like Sierpinski gasket or Cantor set.
Computer Musings Lecture Series (by Donald E. Knuth)
?These lectures I'?ve given have been inspired and shaped by the questions and responses of the audiences to whom I spoke, and I want to keep them alive,prof. D.E.Knuth explains. We'?ve got these tapes and the world is going digital; Stanford Centre for Professional Development has the talent and expertise to convert them. I feel that archiving is important. I'?ve learned from archived lectures and classes myself, so I think others can learn from these.
A sampling of musings includes:
- Dancing Links
- Fast Input/Output with Many Disks, Using a Magic Trick
- MMIX: A RISC Computer for the New Millennium
- The Joy of Asymptotics
- Bubblesort at random (one-dimensional particle physics)
- Trees, Forests, and Polyominoes
- Finding all spanning trees
"Other" Donald E. Knuth Lectures
Also available are two five-session short courses about TeX (1981); twelve lectures about the implementation of TeX (1982); video recordings of eight history sessions about Computer Science at Stanford, taped in 1987 and featuring many alumni of our department; and some reminiscences by Professors Feigenbaum, Floyd, Golub, Herriot, Knuth, McCarthy, Miller, and Wiederhold about the founding of Stanford's Computer Science Department, The Living Legends (1997).
Questions from audience and students are important to the learning process, according to Knuth. Sometimes the expression of a more mature idea isn't the most interesting or effective way to learn you may learn more from how a professor reacts to an idea or a question. He pauses, and then adds, People might learn a lot from watching me fumble around to answer a question.
graphing linear inequalities
Finding the Area of a Triangle
Hi Friends!!!
Let us try Finding the Area of a Triangle.
formula for area of a triangle
Let us try Finding the Area of a Triangle.
A triangle is one of the basic shapes of geometry with three-sided shape, which lies in one plane. The sum of all the angles in any triangle will be 180º. Simply it is defined as a polygon with three sides and three angles. Every triangle has three vertices, a base, and an altitude
Area of the triangle is equal to half of the product of base and its height.
formula for area of a triangle A= ½ *base*height
calculate area of a triangle with a base of 4cm and height of 6cm?
Area of the triangle(A) = ½ b*h
=1/2 *4 *6
=1/2 *24
Area =12cm2
formula for area of a triangle
Conversions and Stoichiometry
Many questions in chemistry can be answered by thinking of them as conversions between units. This includes stoichiometry questions. We'll get into what stoichiometry means in a bit, but first let's look at solving questions as conversions.
To solve questions as conversions, you need to have conversion factors. Conversion factors relate units to one another. For example, there are 100 cents in 1 dollar, or 100 cents = $1. To use this as a conversion factor, write it as a fraction:
Since 100 cents = 1 dollar, this fraction is equal to 1. That means you can multiply it by anything else, and still have the! same quantity that you started with. For example, if you want to convert $5.27 to cents, you can multiply it by the fraction. The dollars cancel out, leaving you with 525 cents:
We can also flip the fraction to get a new conversion factor:
As long as the top and bottom are equa! l to one another, and we're careful to cancel out units to see! what we have left, we can string conversion factors like this together to convert from a starting number to a final answer.
That brings us to stoichiometry. Stoichiometry is the study of relationships in chemical reactions. in other words, it's the study of what amounts of things are equal to amounts of other things in chemical reactions.
For example, say you have a chemical reaction like this (sorry for the formatting, I may make it prettier for you later):
2A --> 3B
(where A and B are elements or compounds)
That chemical reaction tells us that each time 2 mol A reacts, 3 mol B are produced. In other words, for this reaction, 2 mol A = 3 mol B. We can use that equivalency to make conversion factors!
To answer stoichiometry questions, you usually only need two more pieces of information: the molar masses of the reactants and/or products involved in ! the question (usually denoted M or with the script M shown below), and the definition of a mole. We won't cover molar masses here (see the Wikipedia article on molar masses if you need help), but we'll remind you that 1 mol = 6.022 × 1023 things (atoms or molecules or whatever). You might find this figure helpful to sort out how all of those conversion factors fit together (I know it's confusing; I'll try to be back with an easier-to-follow version soon!):
To convert from a given amount to a target amount, start at the given amount, and follow the arrows until you get to the target amount. S! tring the conversion factors together (switching the numbers t! o match your particular problem), and you should get your target answer. Check that the units cross out properly to make sure!
Work through the question below to see if you understand how to answer stoichiometry questions.
Try a new version of this question.
If you need more practice with questions involving stoichiometry and chemical reactions, sign up for the Self-Study Course in Chemical Reactions at Sapling Learning. Each question has a ful! l, in-depth solution and specific feedback to help you identify your mistakes.
How to write scientific notation
Earl's Bob
Adding Fractions
To add fractions you first have to find the lowest common denomenater. But if they already have common denomenaters you do not have to do this step. Then you add the numerators up. Then you add up the denomenaters. If the numerater is larger than the denomenater then you have to turn it into a mixed fraction. Make sure you reduce the answer if you can. See examples on how to add fractions.
Ex.1) 3/4 + 3/86/8 + 3/8= 9/8= 1 and 1/8
Ex.2) 3/4 + 1/4= 4/4= 1 whole
Adding Mixed Fractions
To add fractions you first have to find the lowest common denomenater. But if they already have common denomenaters you do not have to do this step. Th! en you add the numerators up. Then you add up the denomenaters. If the numerater is larger than the denomenater then you have to turn it into a mixed fraction. The last thing you have is you have to add up the whole number. Make sure you reduce the answer if you can. See examples on how to add mixed fractions.
Ex.1) 3 and 1/4 + 4 and 2/4= 7 and 3/4
Ex.2) 2 and 3/4 + 6 1/8= 8 and 7/83/4 would become 6/8 and 1/8 stays 1/8
Subtracting Fractions
To subtract fractions you fist have to find the lowest common denomenater. But if they already have common denomenater yoou do not have to do this step. Then you subtract the numerators. Then you subtract the denomenaters. If the munerater is larger than the denomenater you have to turn the it into a! mixed fraction. Make sure you reduce the answer if you can. S! ee examp les on how to subtract fractions.
Ex.1) 3/4 - 2/4 = 1/4Ex.2) 3/4 - 1/8=6/8 - 1/8= 5/8
Subtracting Mixed fractions
To subtract fractions you fist have to find the lowest common denomenater. But if they already have common denomenater yoou do not have to do this step. Then you subtract the numerators. Then you subtract the denomenaters. If the munerater is larger than the denomenater you have to turn the it into a mixed fraction.Last you have to subtract the whole numbers. Make sure you reduce the answer if you can. See examples on how to subtract fractions.
Ex.1) 3 and 3/4 - 2 and 2/4 = 1 and 1/4
Ex.2) 4 and 2/4 - 2 and 1/4 = 2 and 1/4
Mul! tiplying Fractions
To muitiply fractions you first have to mulitiply the 2 numeraters toughter. Than you muitiplt the 2 denomenaters toughter. When you multiply you do not find the lowest common denomenater. if you can reduce the fraction then reduce it. in the following example you will see how to multiply fractions.
Ex.1) 2/3 x 3/5= 2x3=6 3x5=15= 6/15= 2/5
Find the common denomenater
To find the common denomenater you have to follow the following steps. First you find the lowest number that both of the denomenaters can both fit into. Then say you have 3 as your denomenater and you want to change it into 6 you have to times it by 2 so if the numerater is 2 you have to times it by 2. so the fraction will now be 4/6. if it is reducable you have to reduce it. So 4/6! will become 2/3. See examples for an idea on how to do it.
Ex.1) 2/3 and 1/2 so it will change to 4/6 and 3/6the lowest common denomenater will be 6.
Ex.2) 1/3 and 1/4 so it will change to 4/12 and 3/12the lowest common denomenater will be 12.
Reducing your answer
To reduce your answer you have to make sure both you numerater and you denomenater divide by the same number. So the first step is you have to find a number that divides between both numbers. Then you reduce them. See example on how to do this.
Ex.1) 2/4 = both of them are dividable by 2 so the answer is 1/2
Ex.2) 6/8 = both of them are dividable by 2 so the answer is 3/4
Answers to add and subtract fractions
To add fractions you first have to find the lowest common denomenater. But if they already have common denomenaters you do not have to do this step. Then you add the numerators up. Then you add up the denomenaters. If the numerater is larger than the denomenater then you have to turn it into a mixed fraction. Make sure you reduce the answer if you can. See examples on how to add fractions.
Ex.1) 3/4 + 3/86/8 + 3/8= 9/8= 1 and 1/8
Ex.2) 3/4 + 1/4= 4/4= 1 whole
Adding Mixed Fractions
To add fractions you first have to find the lowest common denomenater. But if they already have common denomenaters you do not have to do this step. Th! en you add the numerators up. Then you add up the denomenaters. If the numerater is larger than the denomenater then you have to turn it into a mixed fraction. The last thing you have is you have to add up the whole number. Make sure you reduce the answer if you can. See examples on how to add mixed fractions.
Ex.1) 3 and 1/4 + 4 and 2/4= 7 and 3/4
Ex.2) 2 and 3/4 + 6 1/8= 8 and 7/83/4 would become 6/8 and 1/8 stays 1/8
Subtracting Fractions
To subtract fractions you fist have to find the lowest common denomenater. But if they already have common denomenater yoou do not have to do this step. Then you subtract the numerators. Then you subtract the denomenaters. If the munerater is larger than the denomenater you have to turn the it into a! mixed fraction. Make sure you reduce the answer if you can. S! ee examp les on how to subtract fractions.
Ex.1) 3/4 - 2/4 = 1/4Ex.2) 3/4 - 1/8=6/8 - 1/8= 5/8
Subtracting Mixed fractions
To subtract fractions you fist have to find the lowest common denomenater. But if they already have common denomenater yoou do not have to do this step. Then you subtract the numerators. Then you subtract the denomenaters. If the munerater is larger than the denomenater you have to turn the it into a mixed fraction.Last you have to subtract the whole numbers. Make sure you reduce the answer if you can. See examples on how to subtract fractions.
Ex.1) 3 and 3/4 - 2 and 2/4 = 1 and 1/4
Ex.2) 4 and 2/4 - 2 and 1/4 = 2 and 1/4
Mul! tiplying Fractions
To muitiply fractions you first have to mulitiply the 2 numeraters toughter. Than you muitiplt the 2 denomenaters toughter. When you multiply you do not find the lowest common denomenater. if you can reduce the fraction then reduce it. in the following example you will see how to multiply fractions.
Ex.1) 2/3 x 3/5= 2x3=6 3x5=15= 6/15= 2/5
Find the common denomenater
To find the common denomenater you have to follow the following steps. First you find the lowest number that both of the denomenaters can both fit into. Then say you have 3 as your denomenater and you want to change it into 6 you have to times it by 2 so if the numerater is 2 you have to times it by 2. so the fraction will now be 4/6. if it is reducable you have to reduce it. So 4/6! will become 2/3. See examples for an idea on how to do it.
Ex.1) 2/3 and 1/2 so it will change to 4/6 and 3/6the lowest common denomenater will be 6.
Ex.2) 1/3 and 1/4 so it will change to 4/12 and 3/12the lowest common denomenater will be 12.
Reducing your answer
To reduce your answer you have to make sure both you numerater and you denomenater divide by the same number. So the first step is you have to find a number that divides between both numbers. Then you reduce them. See example on how to do this.
Ex.1) 2/4 = both of them are dividable by 2 so the answer is 1/2
Ex.2) 6/8 = both of them are dividable by 2 so the answer is 3/4
Answers to add and subtract fractions
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