Identify a fraction or mixed number that represents the shaded part of the figure.

A.
B. 5
C.
D.


Answer: C

Mathematics

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Solve the problem.Find the area of the region in the first quadrant between the curve y = e-3x and the x-axis.

A. 1
B. 3
C.
D.  e

Mathematics

Solve the problem.Let g(x) = x + 8. Find a function y = f(x) so that (f ? g)(x) = 3x + 24

A. f(x) = 3x + 8 B. f(x) = 3(x + 1) C. f(x) = 3x - 8 D. f(x) = 3x

Mathematics

Evaluate the determinant.

A. 54 B. 44 C. -54 D. -34

Mathematics

A boat travels upstream (against the current) between two points on a river 10 mi apart in 2.5 hours. The return trip downstream takes only 45 minutes. What is the boat's speed, and how fast does the current in the river flow?

(a) The speed of the boat is 4.5mi/h and the speed of the current flow is about 8.4 mi/h. (b) The speed of the boat is 8.7 mi/h and the speed of the current flow is about 4.7 mi/h. (c) The speed of the boat is 6.7 mi/h and the speed of the current flow is about 8.7 mi/h. (d) The speed of the boat is 5 mi/h and the speed of the current flow is about 4 mi/h. (e) The speed of the boat is 13.7 mi/h and the speed of the current flow is about 6.7 mi/h.

Mathematics