Chapter 8: Problem 80
Decide whether the ordered pair is a solution of the system. $$ \begin{aligned} &x-5 y=9\\\ &3 x+y=11 \quad(1,-4) \end{aligned} $$
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Complete the statement using \(>\) or \(<\). $$5^{2} \cdot 3^{6} \underline{?}(5 \cdot 3)^{6}$$
Draw a box-and-whisker plot of the data. \(48,10,48,25,40,42,44,23,21,13,50,17\)
Write your answer as a power or as a product of powers. $$ \left(a b c^{2}\right)^{3}\left(a^{2} b\right)^{2} $$
Use the following information. The power generated by a windmill can be modeled by the equation \(w=0.015 s^{3},\) where \(w\) is the power measured in watts and \(s\) is the wind speed in miles per hour. Write a general statement about how doubling the wind speed affects the amount of power generated by a windmill.
Simplify the expression. Then use a calculator to evaluate the expression. Round the result to the nearest tenth when appropriate. $$ 6.5^{3} \cdot 6.5^{4} $$
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