Answer:
x=-125/24
Step-by-step explanation:
(6x+10)+(-10-30x)=(30x+135)+(-10-30x)
(6x+10)+(-30x-10)=(30x+135)+(-30x-10)
6x+10-30x-10=30x+135-30x-10
6x-30x+10-10=30x-30x+135-10
-24x=125
24x/24=-125/24
x=-125/24
Answer:
hello your question is incomplete here is the complete question
Use cylindrical coordinates Find the volume of the solid that lies within both the cylinder x^2 + y^2=16 and the sphere x^2 + y^2 + Z^2= 81
Answer : ![\frac{4 \pi }{3} [729 - 65\sqrt{65} ]](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5Cpi%20%7D%7B3%7D%20%5B729%20-%2065%5Csqrt%7B65%7D%20%5D)
Step-by-step explanation:
The given data
cylinder = x^2 + y^2 = 16
sphere = x^2 + y^2 +z^2 = 81
from the given data the solid is symmetric around the xy plane hence we will calculate half the solid volume above the plane then multiply the sesult by 2
Note : we are restricting our attention to the cylinder x^2 + y^2 = 16 and also finding the volume inside the sphere which gives bound on the z-coordinate as well
the r parameter goes from 0 to 4
ATTACHED IS THE REMAINING PART OF THE SOLUTION
showing the integration
So if they'll hire 40% women, and they're hiring 10 people, this means that they'll hire 4 women. And the rest of the people are all men, or 6 of them.
So basically, you can think of this like a tree, taking the men's side first, with 15 possible hires in the beginning, and then 14 more stemming off of that, and then 13 more stemming of those, etc.
So basically it would be:
15 * 14 * 13 * 12 * 11 * 10
Because there are four spots for men, and there were 15 men, and after every hire, there will be one less applicant, because there would've been one hire instead.
So;
15 * 14 * 13 * 12 * 11 * 10 = 3603600
And then women just do the same thing.
10 * 9 * 8 * 7 = 5040
Then just multiply those together as well.
18162144000 is your final answer.
Answer: 3.3
Step-by-step explanation:
200(x-0.3)=600
Multiply x by 200 and 0.3 by 200
200x-60=600
Add 60 to both sides
200x-60=600
+60 +60
Add them
200x=660
Divide
660/200 = 3.3
Answer: 3.3
Your welcome :)
