Solve the problem involving modeling with polynomial functions.A survey team measures the concentration (in parts per million) of a particular pollutant in the atmosphere. On a typical day, the concentration of the pollutant at time t (in hours) after midnight is given by
g(t)
= -0.008t4 + 0.12t3 - 0.18t2 + 0.04t where 0 ? t ? 24. Use a graphing calculator to graph y = g(x) the window [0, 24] by [0, 30]. A concentration greater than 20 parts per million is considered pollution. Which is the best estimate for the period during which the atmosphere is polluted?
A. 10:00 a.m. to 12:30 a.m.
B. 8:30 a.m. to 11:30 a.m.
C. 9:30 a.m. to 2:00 p.m.
D. 11:30 a.m. to 1:30 p.m.
Answer: B
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A delivery truck must deliver packages to 6 different store locations (A, B, C, D, E, and F). The trip must start and end at C. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.
The cheapest-link tour starting with vertex C is given by:
A. C, B, D, F, E, A, C. B. C, A, B, D, F, E, C. C. C, D, E, F, A, B, C. D. C, A, E, F, B, D, C. E. none of these
Solve the problem.Write an expression in simplest form that represents the area of the rectangle.
A. 4x + 22 B. 4x - 22 C. x2 - 11x D. 2x2 - 22x
Provide an appropriate response.Determine the exact value of cos 5°sin 85° + sin 5°cos 85°.
A. -1 B. 2 C. 0 D. 1
Solve the equation. =
A.
B.
C.
D.