Solve the problem.An athlete uses three different exercise regimens for increasing cardiovascular fitness. An hour of regimen A rates a 3 in effectiveness, an hour of regimen B rates a 4 in effectiveness, and an hour of regimen C rates a 5 in effectiveness. In any given week, the athlete can train at most 5 hours by regimen A. In any given week the combined hours of regimens A and C may not exceed 8. In any given week the combined hours of regimens B and C may not exceed 10. How many hours of each regimen should the athlete perform in a week in order to maximize the increase in fitness?

A. 3 hours of regimen A, 5 hours of regimen B, 11 hours of regimen C
B. 5 hours of regimen A, 7 hours of regimen B, 3 hours of regimen C
C. 0 hours of regimen A, 2 hours of regimen B, 8 hours of regimen C
D. 4 hours of regimen A, 6 hours of regimen B, 4 hours of regimen C


Answer: B

Mathematics

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Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree.cos2 2x - sec2 2x = 0

A. {45°, 135°, 225°, 315°} B. {0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°} C. {0°, 90°, 180°, 270°} D. {0°, 180°}

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Express as a single logarithm.4loga9 + 9loga10

A. loga(36 + 90)
B. loga94 ? loga109
C. loga94109
D. loga

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Graph the rational function. Give the equations of the vertical and horizontal asymptotes.f(x) = 

A. x = 0; y = -3

B. x = 0; y = 3

C. x = 3; y = 0

D. x = -3; y = 0

Mathematics

Solve the problem.Use determinants to determine whether the points (-3, 9), (-1, 3), and (2, -6) are collinear.

A. Yes B. No

Mathematics