RedDragon1

16 Questions
3 Answers

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6

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Balls and Boxes

In how many ways can 4 balls be placed in 4 boxes if 3 balls are indistinguishably white, 1 ball is black, and the boxes are indistinguishable?

RedDragon1 Oct 19, 2024

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5

1

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C&P

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row, and no child may sit directly in front of their sibling?

RedDragon1 Oct 19, 2024

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26

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Help with Magnitude

Let z and w be complex numbers such that |z|=1,|w|=7, and |5z-2w|=11. Find |3z+4w|

RedDragon1 Jul 13, 2024

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12

2

+54

Help Please

Suppose that all four of the numbers
2-sqrt(5), 4+sqrt(10),14-2sqrt(7), -sqrt(2)
are roots of the same nonzero polynomial with rational coefficients. What is the smallest possible degree of the polynomial?

RedDragon1 Jul 10, 2024

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5

2

+54

Triangle DEF is inscribed in circle G. In circle G, angle EDF=29 and arc DF has a measure of 132. If the circumference of circle G is 24

Triangle DEF is inscribed in circle G. In circle G, angle EDF=29 and arc DF has a measure of 132. If the circumference of circle G is 24 units, what is the length of arc DE? Express your answer as a common fraction.

RedDragon1 May 27, 2024

+54

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The answer is sqrt(913)

RedDragon1Jul 14, 2024