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 ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 4.2 N
B. 4 N
C. 3.9 N
D. 5 N
Answer: A
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Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.f(x) = x2 - 16x + 69
A. Concave up on (8, ?), concave down on (-?, 8); inflection point (8, 5) B. Concave up on (-?, 8), concave down on (8, ?); inflection point (8, 5) C. Concave down for all x; no inflection points D. Concave up for all x; no inflection points
Rewrite the fractions using the least common denominator.
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Determine how many of the first 5 statements in the sequence obtainable from the given statement are true.2n < n2
A. 5 B. 3 C. 2 D. 4
Provide an appropriate response.Define and interpret "Current Yield."
What will be an ideal response?