Find the trigonometric function value of angle ?.sec ? =  and ? in quadrant IVFind tan ?.

A. - 
B. - 
C. - 
D. - 


Answer: C

Mathematics

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Solve the problem.As one approaches a certain sound source, the sound intensity in arbitrary units increases according to the following function of time (in seconds):F(t) = - .Starting at t = 0, when the source of sound is first sensed, how much time elapses until maximum sound intensity is felt? Round the result to the nearest hundredth.

A. 0.44 sec B. 42.53 sec C. 25.15 sec D. 2.53 sec

Mathematics

Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?

A. 0.714 B. 0.222 C. 0.5 D. 0.2

Mathematics

Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.The national debt of a country is $45,220,000,000 and the population is 6,460,000. What is the debt per person? Write answer without exponents.

A. $700 B. $292,121,200 C. $7000 D. $70,000

Mathematics

Solve the problem.A racetrack curve is banked so that the outside of the curve is slightly elevated or inclined above the inside of the curve. This inclination is called the elevation of the track. The maximum speed on the track in miles per hour is given bywhere r is the radius of the track in miles and ? is the elevation in degrees. Find the maximum speed for a racetrack with an elevation of 28° and a radius of   Round to the nearest mile per hour.

A. 13,526 mph B. 39,350 mph C. 198 mph D. 175 mph

Mathematics