Solve.The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal and Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?

A. Art
B. Art, Ben, and Cal
C. Ben
D. Art and Ben


Answer: D

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).Following the curve  r(t) = 12ti  + (5 cos t)j + (5 sin t)k in the direction of increasing of arc length, find the point that lies 65? units away from the point where 

A. (60?, -5, 0) B. (60?, 0, -5) C. (60, -5, 0) D. (60?, 0, 0)

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Use the given triangles to evaluate the expression. Rationalize all denominators. cot 60° - cos 45°

A.
B.
C.
D.

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Solve the problem.A coin is tossed upward from a balcony 292 ft high (ho) with an initial velocity (vo) of , according to the formula h(t) = -16t2 + vot + ho, where t is time in seconds. During what interval of time will the coin be at a height of at least 100 ft?

A. 0 sec ? t ? 1 sec B. 4 sec ? t ? 8 sec C. 0 sec ? t ? 4 sec D. 3 sec ? t ? 4 sec

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Suppose that the production function for a product is , where x represents the number of work hours per month and y is the number of available machines. Determine the marginal productivity of y.

A.
B.
C.
D.
E.

Mathematics