Determine whether the following is the graph of a function.
A. Yes
B. No
Answer: B
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Solve the problem.A 200 gallon tank is filled with pure water. A salt solution with a concentration of 16 g/gal flows into the tank at a rate of 3 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 3 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.015m + 3200, m(0) = 200 (b) m = 3200e-0.015t + 48 B. (a) m'(t) = 0.015m - 48, m(0) = 16 (b) m = -48e0.015t + 48 C. (a) m'(t) = -0.015m + 48, m(0) = 0 (b) m = -3200e-0.015t + e-0.015 D. (a) m'(t) = -0.015m + 48, m(0) = 0 (b) m = -3200e-0.015t + 3200
Shade the solution set to the system of inequalities.2x - y > 4 x ? 4
A.
B.
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Write as the sum and/or difference of logarithms. Express powers as factors.log2
A. log2(x - 3) + 4log2x B. 4log2x -log2(x - 3) C. log2(x - 3) - 4log2x D. log2(x - 3) -log2x
Solve the problem.Northwest Molded molds plastic handles which cost $0.70 per handle to mold. The fixed cost to run the molding machine is $2778 per week. If the company sells the handles for $2.70 each, how many handles must be molded and sold weekly to break even?
A. 3968 handles B. 1389 handles C. 817 handles D. 926 handles