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Unit conversions |
1999-04-20 |
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Deanna pose la question : My question has to do with unit conversions with English and metric systems. I need to know how to use conversion factors with powers of 10. Which way do i move my decimal point. ex. .48kl to liters. Thank you. Jack LeSage lui répond. |
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A Series |
1999-04-20 |
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Deepak Shrestha pose la question : Given the sequence an=e^(-n*Ln(n)), does the series converge and why? Harley Weston lui répond. |
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The halfway mark |
1999-04-20 |
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Sherry & Tom McGee pose la question : How do you figure the halfway mark between 1/3 and 2/3 as a fraction and a decimal point? Penny Nom lui répond. |
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The birthday problem |
1999-04-19 |
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Gordon Cooke pose la question : How do I explain the rapid rise in the probability that at least two people in a group of n have the same birthday. We have derived the formula for p(n) and have graphed it and have seen how the results are counter-intuitive. At around n=23 p(n)=.5 and at n=50 p(n) is very close to 1. It does not help to simplify the problem (eg use months instead of days) because then our intuition does correspond more closely to reality. Is there some way we can see how the probabiltiy of a "collision" increases with n? It makes me think of data storage problems and hash tables in computer science. Harley Weston lui répond. |
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Work jobs |
1999-04-19 |
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Cindy Miller pose la question : Hi. I'm a college student, majoring in Elementary Education. This semester I am taking a math class for elementary school teachers. I'm not sure if you can help out, but here is what I need. For the class, I am supposed to make 10 work jobs for students. Simple things that teach math that students can work on individually, for example after finishing a test. If you have any suggestions, I would really appreciate it. Penny Nom lui répond. |
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Volume of oil in a tank |
1999-04-17 |
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Lars Waldemarsson pose la question : My problem is to get an equation for the depth of the oil in a gastank formed like a cylinder. The cylinder is in a horizontal position and by a stick you will be able to get the depth of the oil in the tank. All I need is an exmaple which I can build on. By this equation you will be able to get the volume of the oil if you know the depth. Harley Weston lui répond. |
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Ounces and milliliters |
1999-04-17 |
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Tony Rizzi pose la question : I'm mixing a formula of: 48 oz distilled water. 15 grams of Hydroxy Ethyl Cellulose GR (powder) 30 grams of Hydroxy Ethyl Cellulose MR (powder) 200 grams of Barium Sulfate (powder) 1000 grams of Calcium Hydroxide (powder) After mixing, I need to estimate the amount of each ingredient that fits in a 3ml syringe. And how many syringes I can fill? Harley weston lui répond. |
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y=mx+b |
1999-04-15 |
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Selena Royle pose la question : When solving a problem on slopes,and in the formula y=mx+b what do the M and B stand for? Why M and B? Penny Nom lui répond. |
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Extra point questions |
1999-04-15 |
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W Troy Council pose la question : My teacher has given me 5 extra point questions. I have figured out two, but i need a little assistance with 3 others, could you help me with: - A stablehand agreed to work for 1 year. At the end of that time, she was to receive $240 and one horse. After 7 months she quit the job, but still received the horse and $100. What was the value of the horse?
- If the roots of x2 + bx + c are pi and square root 2, then find "b" and "c."
- ...
Penny Nom lui répond. |
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The Binomial Theorem for rational exponents |
1999-04-15 |
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Angela Evans pose la question : The full question is this: Isaac Newton generalized the Binomial Theorem to rational exponents. That is, he derived series of expansions for such expressions as (x+y)-3 (x+y)2/3 (x+y)5/6 What did Newton find? What are the first four terms of the series expansions of binomials above? How can this extended Binomial Thrm. be used to aid in calculations? Penny Nom lui répond. |
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Two contest problems |
1999-04-14 |
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Bruce Baldwin pose la question : We have students that are preparing for the Pythagoras Contest which is a nation wide Grade 6 math challenge. In the preparatory tests we have run into several questions that we can not understand. Is there anyone who can help us? - If 1 * 9 = 0, 9 * 8 = 72, 2 * 8 = 9, then 9 * 9 = ?
- ...
Judi McDonald and Walter Whiteley lui répond. |
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Dividing a Circle |
1999-04-12 |
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Mike Kenedy pose la question : I am having trouble with a homework question for bonus marks. A Circle is continually divided by lines that do not intersect the center so that they produce the most pieces of circle. For example - 1 line divides the circle into 2.
- 2 into 4.
- 3, however into 7.
- 4 into11
- 5 into 16
- 6 into 22
- 7 into 29
- 8 into 37
- etc...
I am stumped and cannot figure out the equation, though I'm sure it involves squares. Can you help? Penny Nom lui répond. |
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Cross-sectional area of a cylinder |
1999-04-12 |
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Rebecca Connor pose la question : What is the formula to find the cross-sectional area of a cylinder? Chris Fisher lui répond. |
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Linear programming and optimization |
1999-04-09 |
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Shams pose la question : What is Linear programming and optimization? Jack LeSage and Penny Nom lui répond. |
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Grade 10 math |
1999-04-08 |
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Ron pose la question : the type of question i'm having trouble with is 5(2x-1)=3(x-4) Penny Nom lui répond. |
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