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A trough is 15 ft long and 4 ft across the top . Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft3/min. How fast is the water level rising when it is 2.11 ft deep? Give your answer correct to 3 decimal places.
motorboat travels 192 miles in 3 hours going upstream. it travels 306 miles going downstream in the same amount of time. what is the rate of the boat in still water and what is the rate of the current?
Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 250 boxes. But when you raise your price to $5 you only sell 120 boxes.
Calculate the multifactor productivity for this operation in fees generated per dollar of input.
Let z denote the length of the side of the square being cut out. Let x denote the length of the base. Let y denote the width of the base. Write an expression for the volume V.
(Management wants to ensure that only 1% of cans are under-filled.) Scenario 1: If the mean fill of the cans remains at 12.1 ounces, what standard deviation does the filling machine need to achieve this goal?
At Shaw's Market apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint, Let A = cases of apples)
What is the angle of elevation of the ladder?
An orchard contains 50 peach trees with each tree yielding an average of 58 peaches. For each 4 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean?
What is the difference between a scatter plot and a line graph? Provide an example of each. Does one seem better than the other? In what ways is it better?
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