Consider the matrices below with \( Y=B A \), where \( A=\left[\begin{array}{rrrr}1 & 2 & -1 & 4 \\ 3 & -1 & 1 & 3 \\ -2 & 5 & -k & k+1\end{array}\right] \) and For which value(s) of \( k \) will the entry \( Y_{43}=9-2 k \) ?

\( T=2 \pi \sqrt{\frac{L}{32}} \) Where \( L \) is the length, in feet, of the pendulum, and \( \pi \) is approximately \( \frac{22}{7} \). How long must the pendulum be of one complete cycle takes 8 seconds? Answer as a fraction or round to at least 2 decimal places.

Solve for \( z:-6 z \leq 54 \) \( \begin{array}{l}z=-9 \\ 0 z \leq-9 \\ 0 z \geq 9 \\ 0 z \geq-9\end{array} \)

Solve. \( d=n z x \), for \( x \)

Find \( (8 x+9)+(-6 x-2) \)

Question A shipping container will be used to transport several 40 -kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 13100 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine \( x \), the number of 40 -kilogram crates that can be loaded into the shipping container. Answer Attempt 1 out of 2