Solve.A delivery company has two sizes of boxes to ship. Their small box has a volume of 4 cubic feet and their large box has a volume of 8 cubic feet. Each of the company's trucks can carry 96 cubic feet of cargo. These data are summarized by the linear inequality 4x + 8y ? 96.Graph an inequality that describes when the volumes of x small boxes and y large does not exceed the volume of a truck.
A.
B.
C.
D.
Answer: D
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Find the surface area or volume.Use numerical integration with a programmable calculator or a CAS to find, to two decimal places, the area of the surface generated by revolving the curve
about the x-axis.
A. 14.42 B. 1.48 C. 9.29 D. 7.21
Evaluate the line integral along the curve C.ds , C is the path from (0, 0, 0) to (-4, 4, 1) given by:C1: r(t) = -4t2i + 4tj, 0 ? t ? 1C2: r(t) = -4i + 4j + (t-1)k, 1 ? t ? 2
A. -
B.
C.
D. +
Solve the problem.At SuperStop, gasoline costs per gallon when you pay with a credit card,
per gallon less when you pay with cash. How much money will it cost to fill a 15-gallon tank if you pay with cash?
A. $17.78 B. $16.95 C. $16.25 D. $17.85
Solve the problem.A sample of 400 grams of radioactive substance decays according to the function where t is the time in years. How much of the substance will be left in the sample after 20 years? Round your answer to the nearest whole gram.
A. 1 g B. 0 g C. 33 g D. 243 g