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A trough is 7 meters long, 1.5 meters wide, and 5 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3 meters, and base, on top, of length 1.5 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.)?
What is the index of a radical? When working with radicals, can the radicand be negative when the index is odd? Can it be negative when the index is even?
A committee of 7 people is to be selected from a group of 17 people. How many different committees are possible if one is chair and the others general members
A grain silo has a cylindrical shape. Its diameter is 14ft , and its height is 29 . What is the volume of grain that can be stored in the silo?
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
How would you explain the difference between the method used for graphing a function from how to determine the domain and range from the graph of a function?
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age, to the nearest year.
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
Bamm Mining Company is currently extracting rock from two mines. Once it is taken from the ground and loaded on a truck, it is sent to one of two plants for processing.
A plane flying horizontally at an altitude of 3 mi and a speed of 485 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. Please round yo..
Estimate with 95% confidence the decrease in percentage support between now and 6 months ago. What are the hypotheses?
The original cost of the speaker was $500 and lozz had recognized $100 of depreciation on it at the time of scrapping. Prepare the journal entry recording the scrapping of the speaker.
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