The scatter plot and a line of best fit show the relationship between the number of hours Jimmy used his electronic gadgets and the number of batteries he used for the gadgets. Which statement describes the relationship between the number of hours Jimmy used his different electronic gadgets and the number of batteries he used for the gadgets? A. Less than three batteries were used in five hours. B. For every increase in three hours of usage, Jimmy had to use two more batteries. C. For every decrease in three hours of usage, Jimmy had to use two more batteries. D. Jimmy used seven batteries.

B. For every increase in three hours of usage, Jimmy had to use two more batteries.

Step-by-step explanation:

Jimmy is using gadget for many hours. He has to replace the batteries after the usage of 5 hours continuously. The scatter plot represents the fact that Jimmy has to use two more batteries for every hour increase in the usage of gadget. The relationship between the batteries usage and the hours used is linear as it is same for all the day.

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.