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Powers of zero |
1999-10-31 |
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From Salina Young: Hello! I have two questions to ask about the power of "0". First, what is the value of "0' to the power of "0"? And why? Second, what is the value of "0" to the power of "2" or '3" etc? And why? Thank you for your help. Answered by Walter Whiteley and Harley Weston. |
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Area of a circle and an inequality |
1999-10-30 |
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From Adam Anderson: I have two problems. The first: prove that the area of a cirlce is pi times radius squared without using calculus. The second: show that ln(x) < x - 1 for all x > 0. Answered by Harley Weston. |
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A pictograph |
1999-10-28 |
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From Ali: Please tell me how to make a pictograph.I am 2 grade student. Answered by Penny Nom. |
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Ben's observation |
1999-10-28 |
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From Emily Nghiem and Ben Rose: As a teacher at a school called Educere in Houston, I have a ninth-grade student who discovered the following shortcut last year as an eight-grader. What he noticed is that given any two consecutive integers (or n and n+1 for any rational number greater than or equal to 2), the difference between their squares was equal to the sum of the two numbers. . .
Answered by Chris Fisher and Penny Nom. |
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Calculating a square root |
1999-10-28 |
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From Jonathan: What is the formula for calculating a square root? Answered by Penny Nom. |
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Clockwise or Counterclockwise? |
1999-10-27 |
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From Tim: A particle moves around the circle x2 + y2 = 1 with an x-velocity component dx/dt = y - Find dy/dt
- Does the particle travel clockwise or counterclockwise around the circle? Why?
Answered by Harley Weston. |
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Derivatives with logs |
1999-10-26 |
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From Kate: What is the derivative of 5 to the 5x-2 at x equals 0.8? Answered by Harley Weston. |
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Order of operations |
1999-10-25 |
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From Garrett: 99*(57+76)*9-1085/9 Answered by Penny Nom. |
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-log(a) |
1999-10-22 |
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From Brenda Miskimmin: I need to know the mercury concentration in mg/L or ng/L for the following: -log M (Hg) = 8.5 where mw of Hg=200.59 (it's the negative sign in front of log that confuses me). Answered by Harley Weston. |
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An odd number of factors |
1999-10-22 |
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From Melissa: What is the common name used for numbers that have an odd number of factors? What is the least positive integer that has exactly 13 factors? Answered by Penny Nom. |
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Cutting a board into 8 equal pieces |
1999-10-21 |
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From Brittany: Jamie wanted a board cut into 8 equal pieces. The Lucas Lumber Co. charges 60 cents for cutting a board into 4 equal pieces. How much will it charge for cutting Jamie's board? Answered by Claude Tardif. |
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0! + 1! + 2! + 3! + ... + 2000! |
1999-10-21 |
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From Melissa: My name is melissa. I am a 9th grade student I am having trouble finding out how to do this: What is the tens digit of 0! + 1! + 2! + 3! + ... + 2000! I know how to find these, but my calculator cant go any higher than 69! Is there any way i can do this problem? Answered by Penny Nom. |
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Gravity equation |
1999-10-21 |
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From Jean-Marie Le Ray: J'ai dû traduire un texte avec la formule "gravity equation", que j'ai rendue par "équation de gravité", sans absolument savoir de quoi il s'agit. Quelqu'un sait-il si cela est juste et ce qu'est exactement une "gravity equation"? Answered by Claude Tardif. |
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Going to the movies |
1999-10-21 |
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From Gayla Werry: You have $1.00 to take 100 people to the movies. It costs: 1 cent for 10 children, 3 cents for each woman, 5 cents for each man. You have to take at least one of each category of people. Your answer has to add up to exactly 100 people and exactly $1.00. How many men, women, and children can you take? Answered by Penny Nom. |
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|6-2x|<4 |
1999-10-20 |
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From Tchilco: Solve |6-2x|<4 Answered by Harley Weston. |
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