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A triangle and a circle |
2003-03-21 |
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Jynks pose la question : We need a formula that we can use to figure this out for work. We aren't math wiz's or students. Basically we know 3 points in space of a triangle, we know the length of each side and the length of the line from apex to base line. Each point of the base line ends upon the circumference of a circle. IS three a way to work out the radius of that circle. Penny Nom lui répond. |
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Scientific notation |
2003-03-20 |
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A student pose la question : what is one millionth times one thousand in scientific notation. Penny Nom lui répond. |
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Gallons in a tank |
2003-03-20 |
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Leslie pose la question : I am trying to figure the liquid gallons in a water tank that is 19" wide by 29.25" long and is 12.25" high. Could you tell me the formula to figure this out. Penny Nom lui répond. |
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Harmonic numbers |
2003-03-19 |
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Becky pose la question : Harmonic numbers are Hn = 1 + ? + 1/3 + . . . + 1/n
Use induction to prove the following theorem: For all natural numbers n, H1 + H2 + . . . + Hn = (1+n)Hn - n Penny Nom lui répond. |
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A recurrence relation |
2003-03-19 |
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Becky pose la question : Solve this recurrence relation, with the initial conditions.
A1 = 10 A2 = 100 An = 10a n-1 + 29a n-2 Penny Nom lui répond. |
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The origin of integers |
2003-03-19 |
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Travis pose la question : What are the real life usages of integers? Also what is the origin of integers? Harley Weston lui répond. |
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1 followed by a million zeros |
2003-03-19 |
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David pose la question : What do you call the number represented by the numeral '1' followed by one million zeros? Penny Nom lui répond. |
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Two algebra problems |
2003-03-18 |
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Kayla pose la question : 1st question- If a+b divided by a equals 6 and b+c divided by c equals 9, compute the numerical value of a divided by c. ( Your answer will be mumbers only, no variables.)
2nd question- Three adjacent faces of a box (a rectangular prism) have areas of 7, 14, and 18 square inches. Find the volume of the box. (Hint: Choose variables to represent the three sides of the box and then figure out the problem.) Peny Nom lui répond. |
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Three proffs of a trig identity |
2003-03-18 |
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Nadene pose la question : Prove the identity. cos [x + (y-pi/2)] = sin (x+y)
A hint was also provided which is: "Apply cos (alpha + beta) first then within that apply cose (alpha-beta)" Penny Nom lui répond. |
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An equilateral triangle |
2003-03-17 |
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Shirley pose la question : An equilateral triangle is one in which all three sides are of equal length. If two vertices of an equilateral triangle are (0,4) and (0,0), find the third vertex. How many of these triangles are possible? Penny Nom lui répond. |
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A sequence that converges to e |
2003-03-16 |
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Dane pose la question : Something I noticed fooling around with a calculator about 30 years ago. Considering e = 2.718281828459045.... Using Window's Calculator you will find 1.111 = 2.8531167... 1.01101 = 2.731861... 1.0011001 = 2.71964085... 1.000110001 = 2.71841774... 1.00001100001 = 2.7182954... 1.00000110000011 = 2.178231875... 1.000000110000001 = 2.178219643... There apears to be a pattern. My conjecture is: 1.'infinite number of zeros'11'infinite number of zeros'1 = e. Penny Nom lui répond. |
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Runs |
2003-03-16 |
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Diana pose la question : How many arrangements are there with n 0's and m 1's, with k runs of 0's? (A run is a consecutive set [1 or more] of the same digit; eg. 000 111 0 11 00 has three runs.) Penny Nom lui répond. |
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Distributing r identical balls into n distinct boxes |
2003-03-16 |
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Diana pose la question : How many ways to distribute r identical balls into n distinct boxes with exactly m boxes empty? Penny Nom lui répond. |
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Working backwards |
2003-03-14 |
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Melody pose la question : Triva went to the ardcade at the state fair to win some goldfish. She already had some goldfish at home, but wanted more. She won enough goldfish to double her stock. Her mom made her give four away. She put her new ones in the tank with the others, by the morning half of the goldfish had died. Triva's friend gave her six more. The next morning two-thirds of her goldfish died. She was left with two goldfish after giving one to a friend. How many goldfish did she start with? Penny Nom lui répond. |
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1575 |
2003-03-13 |
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Sharyn pose la question : find 6 integers that when multiplied with each other equal +1575 and when the same integers are added together equal zero. there are more positives than negatives and one of the numbers is a double digit between 10 and 20 Penny Nom lui répond. |
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