Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.
Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,
Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.
When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
Answer:
-x-5
Step-by-step explanation:
Not even going to explain this
<span>The answer should be 4.5 because they used AT LEAST 32 miles per gallon. So, 144/32=4.5 and since it's AT LEAST 32, 4.5 is the max amount used.</span>
Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
