Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour

At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =

where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:

Putting all the values we get,

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.
Answer:
There are 9 quarters and 3 nickels
Step-by-step explanation:
problems used: 0.5x+0.25y=3.09
x=y+6
so substitute what x is equal to into the problem
0.5(y+6)+0.25y=3.09 <--------- distribute
0.5y+3+0.25y=3.09 <--------- Combine like terms
0.3y+3=3.09 <----------- Subtract 3 on both sided to get y by itself
0.3y=0.9 <------------ Divide by 0.3 on both sides to get what y is equal to
y=3 <-------- now substitute to find what x is equal to
x=3+6
x=9
<span>The answer is 6 m.
To arrive at this answer you solve the following equation: {let x = the original length of the garden)
(x+7)^2 = 169
x+7 = 13
x = 13-7
x = 6m</span>
Lucky huh ugh hung try high (15)
Answer:
Step-by-step explanation:
(2x) (4x)= 8x = 3x+2
i think but i dont know if this is an exponential equation