Example 5 How many cubic yards of soil are needed to fill a planter that is 20 feet long by 3 feet wide by 4 feet tall? (hint: first determine how many cubic feet you have \( \mathrm{V}=\mathrm{L}^{*} \mathrm{~W}^{*} \mathrm{H} \), then determine how many cubic feet are in a cubic yard)

Give details on what life was like for the family after the fall of Saigon. The Eest we Could Do

The nullspace of \( A=\left[\begin{array}{ccc}1 & 3 & -1 \\ -3 & 2 & 1 \\ -1 & 8 & -1\end{array}\right] \) is the span of the single vector \( \left[\begin{array}{l}i \\ j \\ 1\end{array}\right] \). Determine the values of \( i \) and \( j \). \[ \begin{array}{l} i=\square \\ j=\square \end{array} \]

\( 4 ; x ; y ;-11 \) are the first four terms of a quadratic number pattern. \( 2 p-4 ; p-3 ; \frac{p}{2}-1 \) are the first three first differences of the same quadratic number pattern. Calculate the values of \( p, x \) and \( y \).

Consider the path \( \mathbf{r}(t)=\left\langle 14 t, 7 t^{2}, 7 \ln t\right\rangle \) defined for \( t>0 \). Find the length of the curve between the points \( (14,7,0) \) and \( (42,63,7 \ln (3)) \). Submit answer Next item

2. El primes dia de clases se presentan 30 alumnos enile si dandose un opreton de manos el numero total de apretones de manos es de: