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A power station is on one side of a river that is 1/2 mile wide, and a factory is 6 miles downstream on the other side. It costs $12 per foot to run power lines over land and $16 per foot to run them underwater. Find the most economical path for the transmission line from the power station to the factory.
If 80% of the connectors are kept dry and 205 are wet, what proportion of the connectors fail during the warrnty period?
Assume that the average annual salary for a worker in the United States is $28,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following
A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 5. Find the volume of the ring-shaped solid that remains.
Find the vertices of the rectangle with maximum area.
the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 448 meters, find the length of the parking lot.
If the unit selling price is $2.50 and the unit cost is $1.00, what action is needed to maintain the gross margin percentage when unit cost increases $0.25?
Gather three of your favourite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the "Are You Sure It's Fat Free?"
The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamp to generate the greatest possible profit?
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find.
Math: Linear Transformation of the Space of Polynomials, Which of the following is a linear transformation T of the space of polynomials? Circle the letters corresponding to correct answers.
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