Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is 
. What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2
C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2
D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Answer: D
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A fisherman wants to know the distance across a river. He sights a tree that he calls point A, and then walks down the river 40 feet at a ninety-degree angle. He then sights the same tree (point A) at an angle of 47°. How wide is the river? 
A. 27 ft B. 37 ft C. 43 ft D. 29 ft
Solve the problem.If the odds against a candidate winning an election are 7 to 6, then what is the probability that that candidate will win the election?
A. 
B. 
C. 
D. 
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217
Solve using the multiplication principle.21 = -3k
A. 24 B. 1 C. -7 D. -24