Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.S = gt2 for t

A. = 2 
B. = 
C. = 2gS 
D. = 


Answer: D

Mathematics

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Evaluate the improper integral or state that it diverges.

A. 24 B. -24 C. -48 D. diverges

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Find the common difference for the arithmetic sequence.6, 7, 8, 9, . . .

A. 1 B. 3 C. 6 D. 0.75

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Find the slope and the y-intercept of the given line.y = x - 6

A. - ; (0, -6)
B. ; (0, -6)
C. - ; (0, 6)
D. ; (0, 6)

Mathematics

Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.6 kilogram and ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.

A. 2.9 N B. 5.1 N C. 5.8 N D. 2.6 N

Mathematics