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A vat with length 6 meters, width 4 meters, and depth 3 meters is filled with water to a depth of 2 meters. Find the work required to pump all the water to the top of the vat. The weight density of water is 9810 N/m^3
A box with a square base has length plus girth of 118 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
A textbook store sold a combined total of 348 chemistry and math textbooks in a week. The number of chemistry textbooks sold was three times the number of math textbooks sold. How many textbooks of each type were sold?
A ball of radius 17 has a round hole of radius 6 drilled through its center. Find the volume of the resulting solid.
Write a program that multiplies 2 (n,m) matrices. Each element in the resulting matrix must be create by a separate thread. Print the matrix after the multiplication is done.
the length of a rectangle is two yards longer than triple the width the perimeter is 484 yards. what are the dimensions?
Write a system of equations for the problem, and then solve the system. Two cars leave a city and head in the same direction. After 4 hours, the faster car is 24 miles ahead of the slower car. The slower car has traveled 164 miles. Find the speeds..
For the objective function Z=31x1+35x2 which we seek to maximize, which point is the optimal solution?
you are designing a basketball court to put in your backyard and you are given 975 feet of fencing. What are the detentions that would maximize the area of the court?
amber invested $8000 into a mutual fund 7 years ago. If the fund grew at the rate of 6.5% per year compounded monthly, what would Amber's account be worth today?
According to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 30 mph and at 140 m..
Determine if this argument is correct, using symbolic logic and a truth table. If it is not correct, explain what is wrong with the argument, and change the minor premise to make a correct argument.
A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an in..
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