Find the foci of the hyperbola.4y2 - 100x2 - 400 = 0
A. (0, -4
) and (0, 4
)
B. (0, -10) and (0, 10)
C. (0, -2
) and (0, 2
)
D. (-2
, 0) and (2
, 0)
Answer: C
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Find the volume of the indicated region.the region that lies under the plane 
and over the triangle bounded by the lines 
, 
, and 
A. 133 B. 95 C. 115 D. 113
Solve the problem.Anne and Carol can paint a room in 15 hours working together. Anne takes 4 hours longer to paint the room working alone than it takes Carol working alone. How long does it take Carol to paint the room by herself?
A. 28 hr
B. 13 + 
hr
C. 17 + 
hr
D. 32 hr
Use a scientific calculator to approximate the common logarithm. Round to four decimal places.log 3329
A. 8.1104 B. 3.5210 C. 3.5236 D. 3.5223
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 = 0.7 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 4.9 N B. 4.7 N C. 5.8 N D. 4.8 N