Answer:
18.326 inches
Step-by-step explanation:
The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing
, and we ge that θ is
so (
)(5)= 18.326 inches
Answer: Rate of A: 5/6
Rate of B: 3/5
A has a higher rate of change
Step-by-step explanation: You calculate slope/rate of change by determining the rise over the run. The rate of change in A is 5/6x, this is bigger than the slope of B.
Answer:
An E
Step-by-step explanation:
Answer:
the real solutions are the ones that actually cross the x-axis.
so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)
Answer:
The rate of the volume increase will be 
Step-by-step explanation:
Let's take the derivative with respect to time on each side of the volume equation.

Now, we just need to put all the values on the rate equation.
We know that:
dR/dt is 0.04 cm/s
And we need to know what is dV/dt when R = 10 cm.
Therefore using the equation of the volume rate:


I hope it helps you!