For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money
will she make if she baby-sits 5 hours? *

The equation is C = 5h + 3

After 5 hours, Nicole will make $28.

Step-by-step explanation:

The equation is C = 5h + 3 because the flat fee of $3 represents the y-intercept of the equation and the $5 per hour is the slope. Therefore, since in the equation y = mx + b, m is the slope and b is the y-intercept, you just substitute m for 5 and b for 3. Then, to find how much money Nicole will make in 5 hours, you just substitute the value, h = 5 into the equation that we arrived at. Thus, C = 5*5 + 3 which is 25 + 3 which is 28.

Hope this helps :)

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.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)