Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
![V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx](https://tex.z-dn.net/?f=V%3D%5Cpi%5Cint%5Climits%5Ea_b%20%7B%5BR%28x%29%5D%5E2-%5Br%28x%29%5D%5E2%7D%20%5C%2C%20dx)
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
Answer:
y = 3x.
Step-by-step explanation:
To find out the equation, put it this way. For every 3 cans, there are 9 tennis balls. So if you put it as 9/3, that means that for every can, there are 3 tennis balls. y = 3x. The x is the variable for how many cans there are. If there are 5 cans, the five would multiply by 3 and then thats your answer.
I hope I helped.
Brainliest would be appreciated.
Have a nice day.
50 is 10 times as much as 500
Answer:
$4250
Step-by-step explanation:
Since we know the slope intercept form is y=mx+b and that parallel lines have the same slope we know that the slope in our equation is going to be -4
we can plug in the point (-8,5) into y= -4x+b
in doing that we get 5= -4(-8)+b.
5=-4(-8)+b
5=32+b
subtract 32 from both sides to find b the (y-intercept)
5-32=-27
b=-27
bc the slope is -4 and the y-intercept is -27 the equation of the line that's parallel to y=-4x+5 and passes through the given point (-8,5) is y=-4x-27
