Find the product. Write the product in rectangular form, using exact values.[8(cos 240° + i sin 240°)] [6(cos 330° + i sin 330°)]
A. 24i
B. -12 + 12
i
C. 24
D. -24
- 24i
Answer: D
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Solve the problem. Round your answer to the nearest tenth, if necessary.A man rode a bicycle for 12 mi and then hiked an additional 8 mi. The total time for the trip was 5 hr. If his rate when he was riding a bicycle was 10 mph faster than his rate walking, what was each rate?
A. Bike: 14.5 mph; hike: 4.5 mph B. Bike: 13 mph; hike: 3 mph C. Bike: 12 mph; hike: 2 mph D. Bike: 11.5 mph; hike: 1.5 mph
Solve the equation.-8 = a3
A. 2 B. -64 C. 8 D. -2
Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 3 - 4-x; relative to f(x) = 4x
A. Reflected across y-axis;
reflected across x-axis;
moved down 3 unit(s)
B. Moved up 3 unit(s);
reflected across, y-axis;
reflected across x-axis;
C. Reflected across y-axis;
reflected across x-axis;
moved up 3 unit(s)
D. Moved up 3 unit(s);
reflected across, y-axis;
reflected across x-axis;
Solve the problem.An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers stand 40 inches apart. At a point between the towers and 12 inches along the road from the base of one tower, the cable is 0.64 inches above the roadway. Find the height of the towers.
A. 6 in. B. 3.5 in. C. 4.5 in. D. 4 in.