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Precalculus Pretest 9a (through Lesson 56) Name ______________________________ SHOW YOUR WORK 1. Fifteen students are to be seated around a circular table. How many seating arrangements are possible? 2. On the outbound leg of a 450 mile trip, the plan flew at a slow speed. On the trip back (also 450 miles), the pilot tripled the speed of the plane. How fast did the plane travel on the trip back if the total traveling time was 8 hours? 3. The wheels on the toy car have a radius of 2 inches and are revolving at 50 radians per second. What is the linear velocity of the toy car in feet per minute? 4. How many distinguishable permutations can be formed from the letters in the word success? 5. Complete the square to graph y x 2 2 x 4 . Solve for x. 6. 2ln 2 2ln 3 2ln x 4 7. log9 12 x 3log9 2 1 8. (b) Write 6300 as e raised to a power. (a) Write 6300 as 10 raised to a power. 9. Let f x x and g x x 6. Which of the following statements is true? a. The graph of g is the graph of f translated six units to the right. b. The graph of g is the graph of f translated six units to the left. c. The graph of g is the graph of f translated six units up. d. The graph of g is the graph of f translated six units down 10. Find the area of the segment bounded by an arc of measure 60° and the chord joining the endpoints of the arc in a circle of radius 6 feet. 11. Factor x 2 5 x 8 over the set of complex numbers. Solve the following equations given the 0o 360o . 12. 3tan 3 3 0 13. 3csc 2 2 3 0 14. Find the equation of the line equidistant from the points (2, 4) and (-4, -4). Write the equation in double intercept form. 15. The latitude of the U.S. Air Force Academy is 38° north of the equator. If the diameter of the earth is 7920 miles, how far is the U.S. Air Force Academy from the equator? 16. The helicopter could fly at 4 times the speed of the wind. Thus, it could travel 600 miles downwind in 1 hour more than it took to travel 300 miles upwind. What was the speed of the helicopter in still air? 17. Find the area of this triangle. 128 ft. 42o 160 ft. 18. Write the equation of this sinusoid in terms of the cosine function: 10 -6.28 -360 -4.71 -3.14 -180 -1.57 -9 -18 -1 y xx 1.57 3.14 180 4.71 6.28 360 Scrambled Answers 120°, 240° 50 2 60 14! 12 103.799 , e8.748 10°, 70°, 130°, 190°, 250°, 310° 80 mph a x=2 225 mph 2630 miles 5 7 5 7 i x i x 2 2 2 2 y 9 cos x 9 ft/min 6852 ft.2 x=6 420 y 3 3 x 4 4 3.26 ft.2