I need help pleasee ! Evan is always on the go and lacks the time to search for a parking space in the city. Evan
has most recently started using car-sharing services like Uber and Lyft to get around
Nashville. He maintains a log of each ride to claim the car-sharing charges as a business
expense, as shown below:
Distance (d) in miles Cost (c) in dollars
5 10.25
7 14.75
13 28.25
17 36.17

a. Sketch a graph of the provided data (label
each axis and provide scaling).

b. Write a linear function to show the relationship between the two variables. Use the
variables d for miles and c for dollars.

c. Explain the meaning of each part of your equation in context to the scenario.

e. Whoops! Evan was in quite the rush and forgot to log the miles for his last trip! How
many miles was Evan’s trip if there was a charge of $17.26 on his credit card for the ride-
sharing service?

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.

idk

step-by-step explanation:

payback

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6