Solve the problem. If necessary, round to the nearest tenth.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°?
A. 5.8 N
B. 5.1 N
C. 2.7 N
D. 2.9 N
Answer: D
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Describe where the following number can be found in Pascal's triangle.C(53, 6)
A. The last entry in the sixth row B. The fifteenth entry in the 61st row C. The sixth entry in the 53rd row D. The 53rd entry in the sixth row
Provide an appropriate response.Solve: = 7
A. x = 3, x = -4 B. x = 3, x = 4 C. x = 3, x = -3 D. x = 4, x = -4
Several logs are stored in a pile with 20 logs on the bottom layer, 19 on the second layer, 18 on the third layer, and so on. If the top layer has one log, how many logs are in the pile? ?
A. 200 B. 190 C. 210 D. 209 E. none of the above
Add or subtract as indicated. Write your answer in the form a + bi.(7 + 9i) - (-3 + i)
A. -10 - 8i B. 10 + 8i C. 4 + 10i D. 10 - 8i