Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 10 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
A. V(x) = x(10 - 2x)(23 - 2x)
B. V(x) = x(10 - x)(23 - x)
C. V(x) = (10 - 2x)(23 - 2x)
D. V(x) = (10 - x)(23 - x)
Answer: A
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Use the at least once rule to find the indicated probability.In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.08, what is the probability that the mixture will test positive?
A. 1.00 B. 0.606 C. 0.394 D. 0.000000262
Solve the linear programming problem.Joe has to take a test which consists of short-answer questions worth 6 points each and essay questions worth 30 points each. He must do at least 9 short-answer questions, but won't have time to do more than 9. He has to answer at least 3 essay questions but can't spend time to do more than 9. If no more than 20 questions can be done, what is his maximum score?
A. 360 B. 240 C. 336 D. 480
Graph the function.Use the graph of f(x) = 5x to obtain the graph of g(x) = 5x + 2 + 2.
A.
B.
C.
D.
Find the rate of interest required to achieve the conditions set forth.A = $32,000P = $8,000t = 20 yearscompounded annually
A. 8% B. 7.1773% C. 3.5265% D. 5.6467%