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. 5.8 N
C. 2.6 N
D. 5.1 N
Answer: A
Mathematics
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Solve the problem.The angular acceleration ? (in rad/s2) of the wheel of a car is given by ?(t) = -5.8t3 + 28.84t2,where t is the time (in s). For what values of t is ? = 23.04 rad/s2?
A. 1, -0.8276 B. 1, 4.8, -0.8276 C. 1, 4.8 D. 4.8, -0.8276
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Evaluate the determinant.
A. -73 B. 63 C. -90 D. -63
Mathematics
Simplify.
? 
A. 
B. 
C. 
D. 
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Find the dimension of the matrix. Tell if the matrix is a square, column, or row matrix, when applicable.
A. 5 B. 4 C. 2 × 2; square D. 5 × 5; square
Mathematics