Solve.Find the maximum value of the objective function z = 22x + 16y subject to the following constraints:
0 ? y ? 5, 3x + 2y ? 6.
A. 220
B. 300
C. 48
D. 80
Answer: B
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Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 350e-0.169t, where t is the time in years? Round your answer to the nearest hundredth year.
A. 34.66 yr B. 59.15 yr C. 38.76 yr D. 4.10 yr
Solve the problem.Use linear regression to find a line representing weight, in pounds, as a function of height, in inches, of men. Then, predict the weight of a man who is 68 inches tall to the nearest tenth of a pound. The following data are the (height, weight) pairs for 8 men: (66, 150), (68, 160), (69, 166), (70, 175), (73, 198), (74, 206).
A. 161.2 lb B. 165.1 lb C. 151.4 lb D. 160.0 lb
Solve the problem.James jogged 2.93 kilometers this morning. His friend Anthony jogged with him and kept going another after James stopped. What was the total distance run by the two men?
A. 5.43 kilometers B. 8.36 kilometers C. 7.93 kilometers D. 10.86 kilometers
Solve the problem.An object's altitude, in meters, is given by the polynomial h + vt - 4.9t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 117 meters tall. If the initial speed is 42 meters per second, how high above the ground will the pebble be after 2 seconds? Round results to the nearest tenth of a meter.
A. 220.6 meters B. 181.4 meters C. 191.2 meters D. 256.4 meters