Answer:

Step-by-step explanation:
In order to solve this problem we can make use of the following formula:

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.
Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

where n represents the number of revolutions and f is the frequency at which the basket is turning.
The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

and now let's analyze the second stage, where it decelerates, so we get:

So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:
n=18rev+26rev=44rev
So the basket will turn a total of 44 revolutions during this 22s interval.
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
Answer:
96^2in
Step-by-step explanation:
4x4=16
16x6=96
Answer:
C
Step-by-step explanation:
Translate the image 2 units right and 1 unit up. Then rotate the image 180°.
Take the coordinate W, it is at (2, 4).
Translate 2 units right (add 2 to the x coordinate) and 1 up (add 1 to the y coordinate)
(2, 4) ------> (2 + 2, 4 + 1) -------> (4, 5)
A rotation of 180° (doesn't matter the direction) makes the coordinates their opposites. Positives become negatives and negatives become positive.
(4, 5) -------> (-4, -5)
➡3x - ( 7 over 12)
➡ [12 (3x ) - 7 ] over 12
➡ ( 36x - 7 ) over 12