<h2>Answer: It is on the origin or quadrant I</h2>
Answer:
9 seconds
Step-by-step explanation:
3 feet per second divided by 21 feet which is 9
Answer: The velocity of the ball is 108.8 ft/s downwards.
Step-by-step explanation:
When the ball is dropped, the only force acting on the ball will be the gravitational force. Then the acceleration of the ball will be the gravitational acceleration, that is something like:
g = 32 ft/s^2
To get the velocity equation we need to integrate over time, to get:
v(t) = (32ft/s^2)*t + v0
where v0 is the initial velocity of the ball. (t = 0s is when the ball is dropped)
Because it is dropped, the initial velocity is equal to zero, then we get:
v(t) = (32ft/s^2)*t
Which is the same equation that we can see in the hint.
Now we want to find the velocity 3.4 seconds after the ball is dropped, then we just replace t by 3.4s, then we get:
v(3.4s) = (32ft/s^2)*3.4s = 108.8 ft/s
The velocity of the ball is 108.8 ft/s downwards.
The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.
<u><em>Explanation</em></u>
Suppose, the amount of milk containing 6% butterfat is
gallons
As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be:
gallons
Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....

So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.