Solve the problem.A pendulum bob swings through an arc 80 inches long on its first swing. Each swing thereafter, it swings only 71% as far as on the previous swing. What is the length of the arc after 10 swings? Round your answer to two decimal places, if necessary.

A. 511.2 inches
B. 1.85 inches
C. 2.6 inches
D. 3.67 inches


Answer: D

Mathematics

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Solve.The function h(t) = -16t2 + 80t - 96 gives the height h, in feet, of a flare fired from the bottom of a gorge 96 feet deep with an initial velocity of 80 ft/sec. The flare fired is visible only when it is above the rim (h = 0). During what interval can the flare be seen?

A. (0, 2) B. (6, 7) C. (4, 5) D. (2, 3)

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Evaluate the expression.

A.  
B.  
C.
D.  

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Find the midpoint of the line segment joining the points A and B.A = (7, 1); B = (-16, -16)

A. (9, 15)
B. (-9, -15)
C.
D.

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Let z vary jointly with x and y. Find the constant of variation k. Then, use  to find z when x = 5 and y = 7.z = 69,020 when x = 58 and y = 119

A. k = 10; z = 120
B. k = ; z = 120
C. k = ; z = 350
D. k = 10; z = 350

Mathematics