Problem 45
Multiply without using a calculator. Give your answer in scientific notation. $$\left(5 \times 10^{4}\right)\left(8 \times 10^{-3}\right)$$
Problem 46
The construction of a building costs \(\$ 136,000\) for materials and \(\$ 157,000\) for labor. What percentage of the total is the labor cost?
Problem 46
Multiply without using a calculator. Give your answer in scientific notation. $$\left(2 \times 10^{-2}\right)\left(4 \times 10^{-5}\right)$$
Problem 48
Round each number to five significant digits. $$827.365$$
Problem 49
Convert to degrees, minutes, and seconds. Round to the nearest second. $$61.339^{\circ}$$
Problem 50
Convert to degrees, minutes, and seconds. Round to the nearest second. $$27.129^{\circ}$$
Problem 50
Divide the following powers of 10. $$10^{5} \div 10^{-2}$$
Problem 51
The temperature in a building rose from \(19.0^{\circ} \mathrm{C}\) to \(21.0^{\circ} \mathrm{C}\) during the day. Find the percent change in temperature.
Problem 52
Divide the following powers of 10 $$10^{-2} \div 10^{-4}$$
Problem 56
An electric motor consumes \(1250 \mathrm{W}\). Find the horsepower it can deliver if it is \(85.0 \%\) efficient. \((1 \mathrm{hp}=746 \mathrm{W} .)\)