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1. The height of a filing cabinet is 1.5 times the width. The length is twice the width. The volume of the cabinet is 12,288 in cubed. What are the dimensions of the cabinet?
2. The height and diameter of a cylindrical water tank are equal. The tank has a volume of 1200 cubic feet. Find the height of the tank to the nearest tenth.
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
Construct the decision tree diagram and perform backward induction analysis to determine the optimal course of action if a net change in profits is the expected payoff.
A particle passes through the point P = (6, 5, -2) at time t = 4, moving with constant velocity v = i - 3j + 6k. Find parametric equations for the motion of the particle.
A poster is to have an area of 170 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. What dimensions will give the largest printed area?
Compute the volume of the solid generated by revolving the triangular region bounded by the lines
Solve the given triangle.
Affordable Plumbing offers to enter into a new contract with Zach at $875 per week. If Zach agrees, is the new Affordable Plumbing contract enforceable? Why or why not?
A shoe salesperson is paid the greater of $600 per week or 11% of sales. At what volume of sales per week will he start to earn more from the commission based compensation?
If A has eight unique elements and B has eight unique elements, how many one-to-one functions would there be? Also, I'd like to know how many there would be if A happened to have less elements than B or if B had less elements than A.
Return to the original assumptions in this problem. Now, suppose that investors' risk aversion increases and the required rate of return on the market, R(RM), increases to 16 percent. (There is no change in the risk-free rate because RF reflects t..
Calculate the breakeven point
Suppose your friend refused a job offer from the first company on ethical grounds even though he had no other offer. Explain his choice in terms of Kohlberg's six-stage theory of moral development and either defend or criticize it based on your ow..
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