Decide if the sets are equivalent to one another.{0, 8, 11, 15} and {8, 11, 15}
A. Equivalent
B. Not equivalent
Answer: B
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Solve the problem.It has been found that the less income people have, the more likely they are to report that their health is fair or poor. The function models the percentage of Americans reporting fair or poor health, f(x), in terms of annual income, x, in thousands of dollars. Find and interpret f(31).
A. f(31) ? 13.5; 13.5% of Americans earning $31 thousand annually report fair or poor health. B. f(31) ? 14.6; 14.6% of Americans earning $31 thousand annually report fair or poor health. C. f(31) ? $14.6; 31% of Americans earning $14.6 thousand annually report fair or poor health. D. f(31) ? 13.5; 31% of Americans earning $13.5 thousand annually report fair or poor health.
Solve the inequality. Graph the solution set and write it in interval notation.13x + 24 ? 5x + 96
A. (-?, 9]
B. (-?, -9]
C. (-9, ?)
D. [9, ?)
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 = 0.9 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 6 N B. 6.2 N C. 5.9 N D. 7.5 N
Rationalize the denominator.
A.
B.
C.
D.