The hard drive on your computer has a capacity of 160 gigabytes (gb). you have used 122 gb. you want to save some home videos to your hard drive. what are the possible sizes of the home video collection you can save? if u represents the amount of space used, write an inequality that determines a, the amount of space available.

a) , b) a=38- u.

Step-by-step explanation:

Since we have given that

Capacity of the hard ware on computer = 160 GB

Amount he used = 122 GB

Amount he saved is given by

Let the amount of space used be 'u'.

So, Linear inequality would be

Let the amount of space available be 'a'.

So, a is given by

Hence, a) , b) a=38-u.

the answer is stop cheating on things stoopid

step-by-step explanation:

im eatin up the 44

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.