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 ? = 24°? If necessary, round the answer to the nearest tenth of a Newton.

A. 5.4 N
B. 2.6 N
C. 5.3 N
D. 2.4 N


Answer: D

Mathematics

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Solve the problem.The decline in the value of a stock can be estimated by the function  where x is the year with 1990 ? x ? 2000. What is the slope of the graph of f?

A. -0.61 B. 0.61 C. 76 D. 1289.9

Mathematics

Solve the problem.You have just graduated from college and purchased a car for $7,000. Your credit limit is $21,000.Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 15%. Find the y-intercept for the exponential function which represents how much you will owe (represented by y) after x months with no more purchases or payments.

A. (7,000, 0) B. (0, 21,000) C. (0, 7,000) D. (21,000,0)

Mathematics

Find the whole.569 hotels is 11.3% of what number of hotels?

A. 503,500 hotels B. 1.3 hotels C. 50,350 hotels D. 5035 hotels

Mathematics

Write a fraction to describe the shaded region of the figure.fraction:  numerator:   denominator:

A. fraction: , numerator: 5, denominator: 8
B. fraction: , numerator: 8, denominator: 3
C. fraction: , numerator: 3, denominator: 11
D. fraction: , numerator: 3, denominator: 8

Mathematics