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A trough is 10 meters long, 3 meters wide, and 2 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2 meters, and base, on top, of length 3 meters). The trough is full of water (density 1000 kg/m^3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)
One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are ther..
melody used 3 as the value of pi to estimate the area of a circular patio that had a diameter of 26 feet. what is melody's estimate
a norman window has the shape of a rectangle surmounted by a semicirlce of diameter equal to the width of the rectangle. if the perimeter of the window is 20 feet, what dimensions will admit the most light?
There are two lines through the point (2,-3) that are tangent to y=x²+x. Find the x-coordinates of the points where these lines touch the parabola.
r of a concession stand can sell 150 lunches per day at a price of $3 EACH. tHE COST TO THE owner is $2.25 per lunch. Each $0.25 price increase decreases sales by 30 lunches per day. What should be charged to maximize profit?
what is the NPV of the system? What is the payback period for this project? Draw the graph. What is the ROI for this project?
Two trains are approaching each other on the same track. They are 500 miles from each other. One train is traveling at 40 mph, the other at 60 mph. A bird is flying back and forth between them at 150 mph. How long before they collide?
the depth of a pond is 180 cm and is being reduced by 1 cm per week. the depth of a second pond is 160 cm and is being reduced by 1/2 cm per week. if the depths of both ponds continue to be reduced at these constant rates, in about how many weeks ..
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
how to solve: The cross section of a large telescope diameter of 360 ft and a maximum depth of 36 feet. What is the equation of this parabola?
If a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? Use the function A(t) = Iert.
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