An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) and then released. Write an equation for the distance of the object from its rest position after t seconds.amplitude = 9 cm; period = 3 seconds
A. d = -3 cos 
?t
B. d = -9 cos 
t
C. d = -9 cos 
?t
D. d = -9 sin 
?t
Answer: C
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Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 622 with r = 0.6. Write a recursive sequence that describes this data, where an denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.
A. a1 = 622, a2 = 622, a3 = 622, a4 = 622, a5 = 622 B. a1 = 622, a2 = 995.20, a3 = 1592.32, a4 = 2547.71, a5 = 4076.34 C. a1 = 622 , a2 = 373.20, a3 = 223.92, a4 = 134.35, a5 = 80.61 D. a1 = 373.20, a2 = 223.92, a3 = 134.35, a4 = 80.61, a5 = 48.37
Provide an appropriate response.In what quadrant of the xy-plane does P(-8, 5) lie?
A. III B. IV C. II D. I
Solve the problem.A certain country's population P(t), in millions, t years after 1990 can be approximated by P(t) = 3.495(1.016)t .In what year did the country's population reach 4 million?
A. About 2009 B. About 1999 C. About 1989 D. About 2004
Find the difference.-15 - (-15)
A. 1 B. -15 C. 0 D. 15