What is the value of s in the equation 4(2s − 1) = 7s + 12? (4 points) A.12
B.16
C.32
D.34

B. 16

Step-by-step explanation:

Solve for s:

4(2s - 1) = 7s + 12

Expand out terms of the left hand side:

8s - 4 = 7s + 12

Subtract 7 s from both sides:

(8s - 7s) - 4 = (7s - 7s) + 12

8s - 7s = s:

s - 4 = (7s - 7s) + 12

7s - 7s = 0:

s - 4 = 12

Add 4 to both sides:

s + (4 - 4) = 4 + 12

4 - 4 = 0:

s = 12 + 4

12 + 4 = 16:

s = 16

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

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.