Elias purchases a home for $38,900. the value of the home, in thousands of dollars, since his purchase is shown in the table. a 2-column table with 6 rows. the first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. the second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. find an exponential function that models the data. round numerical values to the nearest hundredth. let x be the number of years since the purchase. the function f(x) =()x models the data. use the model to predict the home’s value. after 12 years, the home’s value will be about $ thousand. after 35 years, the home’s value will be about $ thousand.

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.

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation: