Find the area of the specified region.Inside one loop of the lemniscate r2 = 5 cos 2?
A. 
B. 
C. 5
D. 10
Answer: A
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Solve the problem.For a culture of 30,000 bacteria of a certain strain, the number of bacteria N that will survive x hours is modeled by the formula N = 3000
. After how many hours will 27,000 bacteria survive?
A. 73 hr B. 19 hr C. 91 hr D. 81 hr
Write the sample space for the given experiment.A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. A blue card is picked, followed by a green card.
A. {12} B. {7} C. {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)} D. {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}
Both the magnitude and direction of the force on a crankshaft change as the crankshaft rotates. Vectors representing the position of the crank and the force are 
and 
variablename="impvar_a94d6e12854c411daea99ac71" /> respectively. The magnitude of the torque on the crank is given by 
, find the magnitude of the torque on the crank shaft using the position and data shown in the figure.
?
?
?
A. 
B. 
C. 
D. 
E. 
Solve the problem.Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of 162 ft. Round to the nearest hundredth, if necessary.
A. 13.5 ft x 40.5 ft B. 40.5 ft x 162 ft C. 40.5 ft x 40.5 ft D. 81 ft x 81 ft