Solve the problem.If a circle of radius 5 is made to roll along the x-axis, what is the equation for the path of the center of the circle?

A. x = 5
B. y = 10
C. y = 0
D. y = 5


Answer: D

Mathematics

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Answer the question.How you would find the empirical probability of rolling a 5 on a die?

A. Roll a die 6 times and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by 6. B. Roll a die many times and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by the total number of times the die was tossed. C. Roll a die 1 time and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by 1. D. The empirical probability cannot be determined.

Mathematics

Simplify the complex fraction.

A.
B.
C.
D.

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Find the foci of the ellipse.16x2 + 64x + 25y2 - 150y - 111 = 0

A. (3, -6), (3, 2) B. (3, -5), (3, 1) C. (-6, 3), (2, 3) D. (-5, 3), (1, 3)

Mathematics

Determine the intervals on which the function is increasing, decreasing, and constant.

A. Increasing on (1, ?); Decreasing on (-?, 1) B. Increasing on (-?, 1); Decreasing on (1, ?) C. Increasing on (-?, -1); Decreasing on (-1, ?) D. Increasing on (-1, ?); Decreasing on (-?, -1)

Mathematics