A fan has blades that spin at 50 revolutions per minute. The blades are 20 inches long. What is the angular velocity of the blades, in radians per minute? Round your answer to the nearest hundredth.
rad/min

  314.16 rad/min

Step-by-step explanation:

There are 2π radians in every revolution, so the 50 revolutions will be ...

  (50 rev/min)(2π rad/rev) = 100π rad/min ≈ 314.16 rad/min

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5