Answer:
V = (π/3)H(27 – H2) : Please see attachment
a. Volume =26π/3
b.rate of change of the volume with respect to H = 8π
c.H=0.0114 inch
Step-by-step explanation:
Please see attachment
<span>The problem is basically asking you to approximate the square root of numbers that are not perfect squares. You should be able to recognize that 54 is very close to 49 and you should know that the square root of 49 is 7. You should also know that the next perfect square is 64 (whose square root is 8). Therefore the square root of 50 is between 7 and 8, but closer to 7 since 50 is closer to 49.</span>
Answer:
48 miles
Step-by-step explanation:
run -- 4 hrs at 8 mph = 4 • 8 = 32 miles
walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles
32 + 16 = 48 miles
The number of time it would take Todd to paint the room alone is 15 hours.
- Let the Todd's time be t.
<u>Given the following data:</u>
To calculate the number of time it would take Todd to paint the room alone:
How to solve a word problem:
In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.
<u>For </u><u>Sue</u><u>:</u>

<u>For </u><u>Jeff</u><u>:</u>

<u>For </u><u>Todd</u><u>:</u>

<u>Combined rate:</u>

Adding the individual rates, we have:

Multiplying all through by 120t, we have:

t = 15 hours.
Read more on word problems here: brainly.com/question/13170908
First you input the equation into the quadratic formula:
__________
x=<span><span><span>−<span>(<span>−2</span>)</span></span>±<span>√<span><span><span>(<span>−2</span>)</span>2</span>−<span><span>4<span>(1)</span></span><span>(5)</span></span></span></span></span>
</span> -----------------------------
2(1)
Next you simplify the formula:
___
x=<span><span>2±<span>√<span>−16
</span></span></span></span> ------------
2
This problem has no real solutions.