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Two dice and the difference of squares |
2009-04-21 |
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dave pose la question : I dont understand how to do this: Two fair dice are rolled. What is the probability that the difference of the squares of the numbers is divisible by three? the answer is 5/9 Harley Weston lui répond. |
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The derivative using limits |
2009-04-21 |
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Kirstin pose la question : I am trying to take the limit of f(x) = [f(x+h)-f(x)] / h
If you try taking the limit by substituting the limiting value h=0, you get 0/0,
which of course is not the right answer. You rewrite f(x+h)-f(x) so it has a factor
of h in it, which you cancel with the h in the denominator before you substitute h=0.
But I am not sure how to do this. Thanks. Robert Dawson lui répond. |
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A max-min problem |
2009-04-20 |
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Charlene pose la question : A fixed circle lies in the plane. A triangle is drawn
inside the circle with all three vertices on the circle and two of the vertices at the
ends of a diameter. Where should the third vertex lie to maximize the perimeter
of the triangle? Penny Nom lui répond. |
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The shadow of a tree |
2009-04-20 |
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Lindsey pose la question : James found that a 30 ft. tree that cast a shadow of 40 ft. A wire from the top of the tree to the beginning of its shadow must be how long? Penny Nom lui répond. |
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The interior angles of a pentagon |
2009-04-20 |
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Mary pose la question : If four interior angles of a five-sided figure pentagon measure 100 degrees each, what will the fifth angle measure? Harley Weston lui répond. |
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12 oz. cup |
2009-04-19 |
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Tom pose la question : I am a ceramic teacher and wanted my students to make a 12 oz. cup, what formula should we use? Chris Fisher lui répond. |
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Factor x squared(x-3)+(x-3) |
2009-04-19 |
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Victor pose la question : How do I factor x squared(x-3)+(x-3) ? Harley Weston lui répond. |
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cos2x = sinx |
2009-04-19 |
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stacey pose la question : solve the equation cos2x = sinx for 0 < x < 2 pi
giving the answer in terms of pi. Harley Weston lui répond. |
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Two similar rectangles |
2009-04-19 |
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Alyssa pose la question : The ratio of the lengths of corresponding sides of two similar rectangles is 3:5. the small rectangle has an area of 36 square centimeters. What is the are of the large rectangle? Penny Nom lui répond. |
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28 golfers |
2009-04-18 |
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DON pose la question : HI, I HAVE 28 GOLFERS AND I NEED A SCHEDULE FOR 24 DIFFERENT DAYS
THERE WILL BE 7 GROUPS OF 4 PLAYERS EACH DAY. ALL PLAYERS WOULD LIKE TO PLAY WITH ONE
ANOTHER AS EVEN AS POSSIBLE (SAY 2 TO 4 TIMES EACH OVER THE 24 DAYS)...THANKS DON Victoria West lui répond. |
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Four-digit combinations |
2009-04-18 |
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Carri pose la question : How many 4-digit combinations can be made out of digits 1, 2, 3, 4, & 5 using each number once? What are the combinations? Penny Nom lui répond. |
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The height of a right triangle |
2009-04-17 |
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drakkar pose la question : how do i find the height of a right triangle that in 176 feet in area Penny Nom lui répond. |
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Nickles and dimes |
2009-04-17 |
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Emily pose la question : a vending machine contains nickels and dime coins which totals an amount of $14.50. There are 95 more nickels than the number of dime coins. How many of each coin does exist? Penny Nom lui répond. |
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A geometry problem |
2009-04-17 |
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Yueh pose la question : Let ABC be a triangle. Locate the point O inside the triangle ABC such that for points L, M and N lying on its sides AB, BC, and CA respectively, triangles BOL, COM, and AON have the same area, where LO and BC, OM and AC, NO and AB must be parallel respectively. Chris Fisher lui répond. |
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Make x the subject in this equation |
2009-04-16 |
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victoria pose la question : hi,
i need help trying to make x the subject in this equation:
7y + 2x = 15
i'm really stuck so any help will be good,
thanks Penny Nom lui répond. |
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