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A trough is 4 meters long, 1.5 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 1.5 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.)
Of the registered voters in a certain town, 64% are Democrats, 59% favor a school loan, and 49% are Democrats who favor a school loan. Suppose that a registered voter is selected at random from the town.
A sample originally has a mass of 800 mg. Find a formula for the mass remaining after t days.
sketch the parallelogram spanned by and in the xy plane and compute its area.
Use the formula S = R - D • R, where S is the sale price, R is the regular price, and D is the discount rate. During a clearance sale, all items are dis¬counted 30%. Find the regular price of a compact disk player on sale for $112.
's salary is 1 cent/second for a 40 hour work week. Tiare's salary is $1400 for a 40 hour work week. Who has a higher salary?
What price should the company charge in order to maximize total revenue? What is the maximum revenue?
Perform the last step in the hypothesis test
What is the probability that the purity of a solution with a catalyst level of 30 is smaller than the purity of a solution with a catalyst level of 27.5?
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
Define Queuing and Process Simulation Modeling. Michael's Tire Company performs free tire balance and rotation for the life of any tires purchased there on a first-come, first-served basis
HP has endoints H (-4, 2 * square root of 3) and P (1, - square root of 18) Find the coordinates of the image HP after a dilation centered at the origin with k=2/3.
Probability of selecting a resident live in Alaska, According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
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