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A cylindrical can is to hold 8PIE cubic inches of frozen concentrate orange juice. The cost per square inch of constructing the metal top and bottom is twice the cost per square inch of constructing the cardboard side. What are the dimensions of the least expensive can?
A farmer wants to set aside a rectangular plot of land to contain 160 square meters. If the width is 19 less than the length, find the dimensions of the plot.
Please evaluate the following integral using trigonometric substitution. Please show all steps in the solution.
a motorboat travels 332 in 4 hoursgoing upstream 555 and in 5 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
An airplane is flying in still air with an airspeed of 475 miles per hour. If it is climbing at an angle of 25°, find the rate at which it is gaining altitude. (Round answer to four decimal places.)
what is the cost to remove 10% of the pollutant?
A farmer wants to set aside a rectangular plot of land to contain 580 square meters. If the width is 19 less than the length, find the dimensions of the plot.
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
What will the quarterly payments be? At the end of the first year, how much interest will Mr. Sullivan have paid? By how much will he have reduced the principal?
An insurance company sells an automobile policy with a deductible of one unit. Let X be the amount of the loss having p.m.f. Determine C and the expected value the insurance company must pay
Give an example which shows that in the matrix chain multiplication problem, adding a matrix on the right can force the breakpoint to the left. You can find an example using just 4 matrices
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
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