Solve the problem.A pendulum is released and swings until it stops. If it passes through an arc of 15 inches the first pass, and if on each successive pass it travels  the distance of the preceding pass, how far will it travel before stopping?

A. 22.5 in.
B. 60 in.
C. 52.5 in.
D. 37.5 in.


Answer: D

Mathematics

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Provide an appropriate response.Consider the following counting problem. A pool of possible jurors consists of 11 men and 13 women. How many different juries consisting of 5 women and 7 men are possible?  To solve this problem, which of the following rules would you use?

A. Both the combinations rule and the fundamental counting principle B. The fundamental counting principle only C. The combinations rule only D. Both the permutations rule and the fundamental counting principle

Mathematics

Find the equation of the hyperbola satisfying the given conditions. The center is at the origin.Conjugate axis = 4, focus (0, -10)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Find all solutions of the equation. Express the solution in radians.sec x = 

A.  + 2n? or  + 2n?
B.  + 2n? or  + 2n?
C. 2n? or ? + 2n?
D.  + 2n? or  + 2n?

Mathematics

Refer to the graph of the function f(x). Provide an appropriate response.Find the x- and y-intercepts.

A. (0, -1), (3, 0) B. (0, 3), (-1, 0) C. (0, 0), (-1, 3) D. (3, -1), (0, 0)

Mathematics