If a right-cone has a height of 45 m and a slant height of 53 m , determine th a) radius of the circle b) volume of the cone c) total surface area of the cone.

Find the conditional probability. Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let \( A= \) event a diamond is selected \( B= \) event a club is selected. Determine \( P(A \mid \) ( not B)).

\( 1 \leftarrow \quad \) Use the number-line model to show that \( 4(-4)={ }^{-} 16 \)

2) Solve for \( x: 2 x^{2}-2 x+3=0 \) a) \( 2 \pm i \sqrt{20} \) b) \( \frac{1 \pm i \sqrt{5}}{2} \) c) \( \frac{4 \pm i \sqrt{5}}{2} \) d) \( \frac{1 \pm \sqrt{5}}{2} \)

Evaluate \( \frac{p^{2}}{m}-(n p+r) \) if \( m=-32, n=2, p=-8 \), and \( r=4 \)

\( g(x)=3 x^{2}-5 \) \( f(x)=8 x-3 \) (a) Find \( \left(\frac{g}{f}\right)(-1) \). (b) Find all values that are NOT in the domain of \( \frac{g}{f} \). If there is more than one value, separate them with commas. (a) \( \left(\frac{g}{f}\right)(-1)=\square \) (b) Value(s) that are NOT in the domain of \( \frac{g}{f} \)