Answer:
the total amount of water supplier per hour to the region within a circle of radius R=110 ( that is from distance r, 0<r<110)
![W(R) = 2\pi [1-(R+1)e^{-R}]](https://tex.z-dn.net/?f=W%28R%29%20%3D%202%5Cpi%20%5B1-%28R%2B1%29e%5E%7B-R%7D%5D)
Step-by-step explanation:
if f(r) describes the water supplied at a distance r , the total amount supplied inside a region that goes from 0 until the circle of radius R, is the sum of all f(r) values from 0 until R, that is the integral value over these limits.
The formula deduction can be found in the attached picture
There is an "r" that multiplies e^-r as result of changing from rectangular coordinates to polar ones.(dx*dy --> r*dr*da)
1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
<u>Solution:</u>
Given, A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the daily morning edition
And 1250 subscribe to both the daily and the sunday editions.
We have to find how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?
Let x denote the number who subscribe to the Sunday edition.
Then the addition rule with overlap tells us that
Those who subscribe daily edition + those who subscribe sunday edition - those who subscribe both daily and sunday edition = total subscribers in survey
2250 + x – 1250 = 2500
1000 + x = 2500
x = 1500
so, 1500 subscribe to the Sunday edition and 1500 – 1250 = 250 subscribe to the Sunday edition only.
Hence, 1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
Answer:
5
Step-by-step explanation:
Square Root - Finding a number that multiplies itself twice into the number within the square root
With this meaning, we need to find a number that multiplies itself into 625.
Finding calculations using exponents will help,
25^2 is equal to 625. Therefore 
We are not finished, as there is another square root right after, empowering the parenthesis, so what number multiplies itself equals 25?
This would be 5, therefore 
is equal to 5.
Answer:
infinite number of solutions
Step-by-step explanation:
Work with the second equation. Subtract 8x from both sides.
- 4y + 8x - 8x = -8x - 12 Collect like terms.
-4y = - 8x - 12 Divide by - 4
-4y/-4 = - 8x/-4 - 12/-4
y = 2x + 3
That is exactly the same line as the first given. There is an infinite number of solutions.
