Meg wants to buy paint and a roller to repaint her bedroom. She could buy a gallon of paint from the sales bin for \( 30 \% \) off, then pay \( \$ 13.50 \) for the roller. Alternatively, if she pays full price for a gallon of paint, she would get a roller for free. After considering her options, she realizes she would pay the same amount either way. Which equation can you use to find \( p \), the full price of one gallon of paint? \( 0.7 p+13.5=p \quad 0.3 p+13.5=p \) What is the full price of one gallon of paint?

Suppose that the functions \( f \) and \( g \) are defined as follows, \[ f(x)=x^{2}+4 \] \( g(x)=\frac{2}{5 x}, x \neq 0 \) Find the composition of a function with itself Simplify your answers as much as possible, \( g \) g, (Assume that your expressions are defined for all \( x \) in the domain of the composition. You do not have to indicate (

1) \( \frac{\left(a^{2} b^{7}\right)^{6}}{\left(a^{2} b^{3}\right)^{4}}= \) 2) \( \frac{x^{2} x^{9} y^{3} y^{9} z^{5} z^{4}}{z^{3} y^{12} x^{30}} \) 3) \( \left(\frac{\left(a^{3} b^{4}\right)^{3}}{a^{4} a^{3} b b^{5}}\right)\left(b^{2} a^{9}\right) \)

4. ข้อใดเป็นการแยกตัวประกอบของ 260 ก. \( 2 \times 2 \times 5 \times 13 \) ข. \( 2 \times 10 \times 13 \) ก. \( 2 \times 2 \times 65 \) ง. \( 2 \times 130 \)

\( y=mx+b....m=\frac{y1-y2}{x2-x1}...m\frac{8-3}{5-2}=\frac{5}{3}=1.666 \)

(41) The average diameter of an atom's nucleus is about \( 1 \times 10^{-14} \) meter. The diameter of a proton is about \( 1 \times 10^{-15} \) meter. (4). The diameter of a proton times 10 roised to what power is equivalent to the diameter of a nucleus?