Mr. Smith rented a car for a day. The rental fee consists of a flat rate of \( \$ 19.99 \) and \( \$ 0.21 \) per additional mile. He paid \( \$ 52.54 \) for the car rental. How many miles did Mr. Smith drive the car?

Simplify the expression. Write the answer without using negative exponents. All variables represent positive real numbers. \[ \left(\mathrm{mn}^{-2 / 3}\right)^{-3 / 5} \]

Use the following information to answer numerical response question 7 . As a result of the transformation of the graph of \( y=f(x) \) into the graph of \( -\frac{1}{9}(y-4)=f\left[\frac{1}{2} x+4\right] \), point \( (7,-2) \) becomes point \( (p, q) \). Numerical Response The values of \( p \) and \( q \) are and

ep 2: Rewrite each term as the product of the GCF and the remaining factor. \[ 54 x y^{6}-36 x^{2} y^{8}+63 x^{7} y^{10} \]

ANIMATION A computer graphics animator would like to make a realistic simulation of a tossed ball. The animator wants the ball to follow the parabolic trajectory represented by \( f(x)=-0.2(x+5)(x-5) \). a. What are the solutions of \( f(x)=0 \) ? List the solutions from least to greatest.

Part \( \mathbf{B} \) b. If the animator changes the equation to \( f(x)=-0.2 x^{2}+20 \), what are the solutions of \( f(x)=0 \) ? List the solutions from least to greatest.