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Question: Explain the difference between choosing four disjoint three element sets from a twelve element set and labelling a twelve element set with three labels of type 1, three labels of type two, three labels of type 3, and three labels of type 4. What is the number of ways of choosing three disjoint four element subsets from a twelve element set? What is the number of ways of choosing four disjoint three element subsets from a twelve element set?
a rod of 5m long leans against a vertical wall and its upper end is 4m above the ground. If the upper end of the rod slides down by 1.2m, how far will the lower end of the rod move?
find the affine coordinates of x (0)/ with respect to {p0, p1,p2}.
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
ms. hill wants to carpet her rectangular living room which measures 14 feet by 11 feet. if the carpet she wants to
The following selections were taken from the letters-to-the-editor section of a newspaper. Each can be interpreted as expressing one or more arguments. Begin by identifying the conclusion of each.
prove the measure of the exterior angle of a triangle is greater than or equal to the sum of the two measures of the
Assume that one is aware of the fact that Prob(A(x) = α) ≤ 1/4 for every wrong result α (i.e., that the probability of computing any specific wrong result is at most 1/4). Can this knowledge be used to design a useful randomized algorithm for F?
Describe some of the algorithms available for determining whether two graphs are isomorphic and the computational complexity of these algorithms.
Depreciation expenses totaled $33,600 last year at Fairmont Industries. If total operating expenses were $280,000, what percent of the total operating expenses were the advertising costs?
A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1.
Forty percent of a radioactive substance decays in three years. By what percent does the substance decay each year? (Round your answer to three decimal places.)
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. Hint: there is more than one solution.
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