Solve the problem.A weight attached to a spring is pulled down 4 inches below the equilibrium position. Assuming that the frequency of the system is  cycles per second, determine a trigonometric model that gives the position of the weight at time t  seconds.

A. s(t) = 4? cos 5t
B. s(t) = 4 cos 10t
C. s(t) = -4 cos t
D. s(t) = -4 cos 10t


Answer: D

Mathematics

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Find the limit, if it exists. 

A. - 
B. - 
C. Does not exist
D. - 

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To produce sales of $4,500,000, Azure Inc. uses only 80 percent of its plant capacity. Therefore, Azure can increase its sales to _____ without having to increase its plant and equipment.

A. $22,500,000 B. $3,600,000 C. $5,625,000 D. $5,400,000 E. $8,100,000

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Find the quotient.

A. -18 B. 4 C. 18 D. -4

Mathematics

Solve the problem.A projectile is fired with an initial velocity of 550 feet per second at an angle of 45° with the horizontal. In how many seconds will the projectile strike the ground? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (550 cos 45°)t, and y = (550 sin 45°)t - 16t2.

A. 24.3 sec B. 29.1 sec C. 20.9 sec D. 32.4 sec

Mathematics