There are two ways in
finding the place value of 2 in 5,670,249,114
First by breaking down the numbers:
5,670,249,114 = 5,000,000,000 +
600,000,000 + 70,000,000 + 200,000
+ 40, 000 + 9,000 + 100 + 10 + 4
which means the Value of 2
is 200, 000<span>2. Second, by using the ones words:
5,670,249,114 = 5 billion + 6 hundred million + 70 ten million + 2 hundred thousand + 4 ten thousand + 9
thousands + 1 hundreds + 1 tens + 4 ones
which means the Value of 2 is 2
hundred thousand
</span>
Answer:

Step-by-step explanation:
The volume of a cylinder is:

where
is the radius and
is the height.
The height is 4 inches greater that the radius, so:

Substituting this in the formula for volume:

the volume is 
thus:

Dividing everything between pi:


We can see that the solution for this is 
since 
We have the radius, now we find the height:


Answer:

Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have

and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
and by evaluating in the limits we have

Hope this helps
regards
Answer:
Step-by-step explanation:
1
the initial level is below normal so it is represented by a negative number. the level continued to decrease in June and July so those changes are also represented by negative numbers. find the sum of these values to find what the new level was with respect to the normal level
2
write the mixed numbers as improper fractions
3
get common denominator
4
add the numerators since all the numbers are negative and have a common denominator. write the improper fraction as a mixed number