Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.S =
gt2 for t
A. t = 2
B. t =
C. t = 2gS
D. t =
Answer: D
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Evaluate the improper integral or state that it diverges.
A. 24 B. -24 C. -48 D. diverges
Find the common difference for the arithmetic sequence.6, 7, 8, 9, . . .
A. 1 B. 3 C. 6 D. 0.75
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)
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