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 = 0.8 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 5.5 N
B. 5.3 N
C. 5.6 N
D. 6.7 N
Answer: A
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Solve the problem.There are 4 roads leading from Bluffton to Hardeeville, 7 roads leading from Hardeeville to Savannah, and 3 roads leading from Savannah to Macon. How many ways are there to get from Bluffton to Macon?
A. 14 B. 168 C. 28 D. 84
Determine ? in decimal degrees. Round results to an appropriate number of significant digits.cos ? = 0.759
A. 41.0° B. 41° C. 69.0° D. 69°
Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual % rate Time to double Amount after 10 years $5000 5.5% ---- ---- (Round the answer up to two decimal places.)
A. Time to double: 
Amount after 10 years: 
B. Time to double:
Amount after 10 years: 
C. Time to double:
Amount after 10 years: 
D. Time to double:
Amount after 10 years: 
E. Time to double:
Amount after 10 years: 
Factor, if possible.216x12 + 125y9
A. (6x4 - 5y3)(6x4 + 5y3) B. (6x4 + 5y3)(36x8 + 30x4y3 + 25y6) C. (6x4 + 5y3)(36x8 - 30x4y3 + 25y6) D. (6x4 - 5y3)(36x2 + 30x4y3 + 25y6b2)