A ceiling fan has \( 20 \) -inch blades (so the radius of the circular fan is \( 20 \) inches). Suppose the fan turns at a rate of \( 64 \) revolutions per minute.
(a) Find the angular speed of the fan in radians per minute.
(b) Find the linear speed of the tip of a blade in inches per minute.
Do not round any intermediate computations, and round your answer to the nearest whole number.
(a) Angular speed: \( \square \) radians per minute
(b) Linear speed: \( \square \) inches per minute
a) 402.12 radians per minute , b) 8042.47 inches per minute
A linear function that models data is described below. Find the slope of the model. Then describe what this means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function \( f ( x ) = - 0.41 x + 28.6 \) models the percentage of adults in a country who smoked cigarettes, \( f ( x ) \) , \( x \) years after \( 1997 \) .
The slope is \( \square \) . (Type an integer or a decimal.)
Use the quadratic formula or completing the square to determine the greater solution to
\( x ^ { 2 } + 4 x + 2 = 0 \) . Round your answer to the nearest hundredth. Record your answer and fill in the bubbles on your answer document.
