In horse racing, a trifecta is a bet that the first three finishers in a race are selected, and they are selected in the correct order. Does a trifecta involve combinations or permutations? Explain. Choose the correct answer below. A. Because the order of the first three finishers does not make a difference, the trifecta involves permutations. B. Because the order of the first three finishers does make a difference, the trifecta involves combinations. C. Because the order of the first three finishers does not make a difference, the trifecta involves combinations. D. Because the order of the first three finishers does make a difference, the trifecta involves permutations.

59. [Application] Marine Corps. The total number of active U.S. Marine Corps (in thousands), during 2005-2019 can be approximated by the function \[ M(t)=0.042 t^{3}-1.1718 t^{2}+8.4 t+182.2122 \text {, } \] where \( t=0 \) represents 2005 . The model indicates the total number of active U.S. Marine Corps in 2008 as 198,000 . Find another year after 2008 when the model indicates the same number of active U.S. Marine Corps. (The model was generated using the data from the U.S. Department of Defense budget report.)

\begin{tabular}{l} ¿Cuáles de las siguientes expresiones son \\ equivalentes a \( \frac{16}{5} ? \) \\ Elige todas las respuestas adecuadas: \\ A \( -\left(\frac{16}{5}\right) \) \\ C Ninguna de las opciones anteriores \\ C \( -\frac{-16}{-5} \) \\ \hline\end{tabular}

2. \( \int t^{3} e^{2 t} d t= \)

Solve for \( b \). \[ -4 b-16=-2 b+18 \]

Monday a team of street sweepers cleaned \( 1 / 5 \) of a city block. Tuesday, the team cleane times as many blocks as on Monday. How many city blocks did the street sweepers clean uesday? Write your answer as a fraction or as a whole or mixed number.