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A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole number.)
How much variation does knowledge of Age Score account for in Competence Scores?
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
bay street has between 1 annd 15 houses nubered 123 and so on. mr sullivan lives in one of these houses. the sum of all the houses equals the sum of all the house nubers greater than his. how many houses are there on bay street?
Find the Fourier Transform ^U(k; t) of the solution U(x; t) of the heat equation
Create a system of linear equations from your own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
A right triangle with legs of 5 and 12 is rotated about it's hypotenuse to form a solid which is pointed at two ends. What is the volume of that solid?
Determine the whole number of standard deviations that includes all data values.
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