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Magazine Problem 72
Rewrite the expression using positive exponents. $$\frac{1}{4 x^{-7}}$$
Problem 72
Evaluate the expression to the nearest hundredth. $$ \frac{2 \pm 6 \sqrt{3}}{3} $$
Problem 72
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$\frac{2}{3} n^{2}-6=2$$
Problem 73
Evaluate the expression to the nearest hundredth. $$ \frac{-3 \pm 2 \sqrt{5}}{-1} $$
Problem 73
TABLE TENNIS In Exercises \(72-75,\) use the following information. Suppose a table-tennis ball is hit in such a way that its path can be modeled by \(h=-4.9 t^{2}+2.07 t,\) where \(h\) is the height in meters above the table and \(t\) is the time in seconds. About how many seconds did it take for the table-tennis ball to reach its maximum height after its initial bounce? Round to the nearest tenth.
Problem 73
Rewrite the expression using positive exponents. $$x^{-4} y^{3}$$
Problem 74
Rewrite the expression using positive exponents. $$6 x^{-2} y^{-6}$$
Problem 74
Use a calculator to solve the equation or write no solution. Round the results to the nearest hundredth. $$\frac{1}{2} x^{2}+3=8$$
Problem 74
Evaluate the expression to the nearest hundredth. $$ \frac{-2 \pm 4 \sqrt{2}}{-2} $$
Problem 75
TABLE TENNIS In Exercises \(72-75,\) use the following information. Suppose a table-tennis ball is hit in such a way that its path can be modeled by \(h=-4.9 t^{2}+2.07 t,\) where \(h\) is the height in meters above the table and \(t\) is the time in seconds. CRITICAL THINKING What factors would change the path of the table-tennis ball? What combination of factors would result in the table-tennis ball bouncing the highest? What combination of factors would result in the tabletennis ball bouncing the lowest?
