Solve the problem.Tom and Larry are food inspectors at a cookie making company. Tom tests every 8th batch of dough for fat percentage. Larry tests every 28th batch of dough for carbohydrate percentage. If they both start working at the same time, which batch will be the first that they both test?
A. The 28th batch
B. The 112th batch
C. The 14th batch
D. The 56th batch
Answer: D
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Solve the problem. Round your answer to 2 decimal places when necessary.The overall U.S. death rate for 60 year-olds is approximately 12 deaths per 1000 people. Suppose that a life insurance company insures 2000 60-year-old people. The cost of the premium is $760 per year, and the death benefit is $55,000. What is the expected profit or loss for the insurance company?
A. $200,000 profit B. $1,320,000 loss C. $310,000 profit D. $181,760 profit
Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = sin u, u = 4x + 19
A. - 4 cos (4x + 19) B. - cos (4x + 19) C. 4 cos (4x + 19) D. cos (4x + 19)
Rewrite the trigonometric expression as an algebraic expression involving the variable u. Assume that and that the value of the "inner" inverse trigonometric expression represents an angle ? such that
csc (tan-1 u)
A.
B.
C.
D.
Solve.The formula for converting Fahrenheit temperatures to Celsius temperatures is Use this formula to solve the problem. In a certain city, the average temperature ranges from
to
Celsius. Use a compound inequality to convert these temperatures to Fahrenheit temperatures. If necessary, round to the nearest tenth of a degree.
A. -18° ? F ? 79.2° B. 14° ? F ? 111.2° C. 26.4° ? F ? 56.4° D. -50° ? F ? 47.2°