Use units to help you answer the question. If necessary, round your answer to two decimal places. 7) Suppose water flows from a shower at a rate of 0.32 cubic feet per minute. Do you use more water by taking a 12 -minute shower or by filling a bathtub with 0.4 cubic yards of water, and by how much?

Factor the binomial completely. \[ x^{7}-x^{3} \]

Question 8 Solve the following quadratic inequality: \( 2 x^{2}+1 x-1 \geq 0 \) Write your answer in interval notation. Enter DNE if there is no solution. Question Help: Video Submit Question

Write an equivalent logarithmic equation for the following exponential equations and solve for \( x \). Leave your answers in logarithmic form. a. \( 4^{x-1}=6 \) \( x= \) b. \( 6^{x-5}=1 \) \( x= \) c. \( 2^{x+5}=4 \) \( x=\square \)

Simplify the expressions. Enter your answers in exponential form. a. \( \left((\sqrt{2} z)^{6}\right)^{8}=2^{24} z^{48} \) b. \( \left(\left(\frac{3 z}{x}\right)^{5}\right)^{10}=\frac{3^{50} z^{50}}{x^{50}} \) c. \( \left(\left(\frac{s}{t}\right)^{9}\right)^{11}=\frac{s^{99}}{t^{99}} \)

٢. نتانتع حركة الأرض حول محور ها