Peter is folding brochures for his dad‘s company after one hour he has 330 brochures left fold after four hours he only has 90 brochures left of old right equations slope intercept form

The required slope intercept form is .

Step-by-step explanation:

Consider the provided information.

It is given that after one hour he has 330 brochures left fold

It means if x=1 then y=330

So the first coordinate is (1, 330)

After four hours he only has 90 brochures left of old.

It means if x=4 then y=90

So the first coordinate is (4, 90)

Use the formula to find the slop of the equation    where

So, the slop is -80. Now put the value of m and into the slop intercept form .

Now put the value of m and b into the slop intercept form.

Hence, the required slope intercept form is .

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.