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A trough is 2 meters long, 2 meters wide, and 1 meters deep. the vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 2 meters). the trough is full of water (density ). find the amount of work in joules required to empty the trough by pumping the water over the top. (note: use as the acceleration due to gravity.)
if a plane can travel 490 mph with the wind and 430 mph against the wind , what is the speed of the plane in still air?
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
Imagine you are at a gas station filling up your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation C(g)=3.03(g).
Suppose that X and Y are continuous random variables with joint pdf (probability distribution function). Please give step-by-step process for solving the following problem.
In your own words, briefly compare the strengths and weaknesses (pros and cons) of the graphical, substitution, and elimination methods as applied to the solution of two equations with the same two variables in each.
Derive an identity for nCk via inclusion-exclusion by counting the k-multisets of [n] in which each element of [n] appears at most once. use p_i = "element i appears more than once in the multiset" as the i-th property, for 1
if her account earns 4% interest, compounded monthly, then when she retires, what is her maximum possible monthly withdrawal (without running out of money)?
Explain why you should use ANOVA instead of several t tests to evaluate mean differences when an experiment consists of three or more treatment conditions.
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
A ski-run follows the curve of y=0.01x^2 - 0.6x + 9 from x=0 meters to x=30 meters. What is the angle between the ski-run and the horizontal where x=10?
(b) What should be the level of sales be in order for the division to realize a 13% profit over the cost of making the diaries? (Round your answer to the nearest whole number.)
Identify the definite integral that represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10.
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