Answer:
2580 ft-lb
Step-by-step explanation:
Water leaks out of the bucket at a rate of
Work done required to pull the bucket to the top of the well is given by integral
Here, function is the total weight of the bucket and water feet above the bottom of the well. That is,
is the initial height and is the maximum height of well. That is,
Find the work done as,
Hence, the work done required to pull the bucket to the top of the well is
Answer:
And then we can find the probability replacing the last result and we got:
Step-by-step explanation:
For this case we have the following density function given:
And we want to find the following probability:
We can find this probability with the complement rule like this:
And we can find the following probability:
And then we can find the probability replacing the last result and we got:
Answer:
width = 10 cm
length = 37 cm
perimeter = 94 cm
area = 370 cm^2
Step-by-step explanation:
Perimeter = 2(length + width)
x is width, then length is 3x + 7
so 2(x + 3x + 7) = 94
4x + 7 = 47
4x = 40
x = 10
length = 3(10) + 7 = 37
1.
If no changes are made, the school has a revenue of :
625*400$/student=250,000$
2.
Assume that the school decides to reduce n*20$.
This means that there will be an increase of 50n students.
Thus there are 625 + 50n students, each paying 400-20n dollars.
The revenue is:
(625 + 50n)*(400-20n)=12.5(50+n)*20(20-n)=250(n+50)(20-n)
3.
check the options that we have,
a fee of $380 means that n=1, thus
250(n+50)(20-n)=250(1+50)(20-1)=242,250 ($)
a fee of $320 means that n=4, thus
250(n+50)(20-n)=250(4+50)(20-4)=216,000 ($)
the other options cannot be considered since neither 400-275, nor 400-325 are multiples of 20.
Conclusion, neither of the possible choices should be applied, since they will reduce the revenue.
There are a couple ways to do this, but basically you need to convert the units.
<span>7 yards x 3 ft/yard = 21 feet </span>
<span>4 yards x 3 ft/yard = 12 feet </span>
<span>So the area (in sq. ft) will be: </span>
<span>21 x 12 </span>
<span>= 252 sq. ft. </span>
<span>Alternatively, you can figure the area in square *yards* and then multiply by 9 sq. ft per sq. yard. </span>
<span>7 yards x 4 yards x 9 sq. ft/sq. yard </span>
<span>= 252 sq. ft.
hope this helps :)</span>