Solve the problem.It requires 3 cups of concentrate per quart of water to make a certain juice. How many cups are needed to make 15 quarts of juice?

A. 54 cups
B. 217 cups
C. 108 cups
D. 4 cups


Answer: A

Mathematics

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Evaluate the integral by using a substitution prior to integration by parts.

A. x cos (ln x) + sin (ln x)+ C
B. [cos (ln x) + sin (ln x)] + C
C. x[cos (ln x) + sin (ln x)] + C
D. [cos (ln x) - sin (ln x)] + C

Mathematics

Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius 5 and density 1 about a diameter of its base. Select the correct answer.

a. 205.13 b. 2616.67 c. 195.22 d. 213.5 e. 198.08

Mathematics

Find the equation of the hyperbola satisfying the given conditions.Foci at (- 3, 0) and (3, 0); asymptote y = - 2x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -   = 1

Mathematics

Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals.f(x) = 4 - ln x

A. Increasing (0, ?)

B. Decreasing: (0, ?)

C. Increasing (4, ?)

D. Decreasing: (0, ?)

Mathematics