Find the domain of the function. \( F(x)=\log _{6} x^{3} \) The domain of \( F \) is (Type your answer in interval notation.)

What function is the reflection of \( f(x)=|x+2| \) about the \( x \)-axis? \( g(x)=|x-2| \) Non of the other options \( g(x)=|-x+2| \) \( g(x)=-|x-2| \)

Write expression \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right) \) as a sum or difference of logarithms with no exponents. Simplify your answer completely. \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right)=\square \)

Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles, how many total miles did they drive?

\#5. The ratio of pink roses to yellow roses in a flower arrangement is \( 5: 3 \). If there are 15 yellow roses, then how many total flowers are in the arrangement?

The half-life of radium is 1690 years. If 40 grams are present now, how much will be present in 860 years? \( \square \) grams (Do not round until the final answer. Then round to the nearest thousandth as needed.)