Answer:
0.13 ft/min
Step-by-step explanation:
We are given that

We have to find the increasing rate of change of height of pile when the pile is 12 ft high.
Let d be the diameter of pile
Height of pile=h
d=h
Radius of pile,r=
Volume of pile=

h=12 ft
Substitute the values



Answer:
Option A. 
Step-by-step explanation:
step 1
Find the volume of the sphere ( medicine ball)
The volume is equal to

we have
----> the radius is half the diameter
Convert inches to feet
Remember that
1 ft=12 in

assume

substitute


step 2
Find the weight of the ball
Multiply the volume in cubic foot by 100

Round to the nearest pound

Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
Answer:
The area is 103.7 cm
Step-by-step explanation:
Multiply the base by the height:
15.25 * 6.8 = 103.7
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