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A 150-gallon water storage tank is filled by a single inlet pipe, and two identical outlet pipes can be used to supply water to the surrounding fields (see the figure). It takes 5 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hour) in and out of the pipes.
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
A grain silo has a cylindrical shape. Its diameter is , and its height is . What is the volume of grain that can be stored in the silo?
A right triangle is a triangle with one angle measuring 90? In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90?angle).
The edge of a cube was found to be 80 cm with a possible error of 0.3 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.
Find the mean and variance of theses draws
If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Determine the value of the constant "k" so that x-2 is a factor of the function g (x) = 2x^4 + kx^3 - 6x + 2.
Using the window setting to make a graph.
You are required to design a 1000cm3 of a shaped right circular cylinder. What dimension will use the least materials.
During March, two cars are sold for $9,000 each. Sam determines that at March 31, the $9,750 car is still on hand. What is Sam's gross profit for March?
Two point charges q1 and q2 separated by a distance of 3m experience a mutual force of 16x10^-15N. Calculate the magnitude of charge when q1=q2=q. What will be magnitude of force if separation between the charges is changed to 6m?
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
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