Which describes the combined variation in the formula v = ℓwh?

a. v varies jointly with ℓ, w, and h.

b. v varies inversely with ℓ, w, and h.

c. v varies jointly with ℓ and h.

d. v varies directly with w and h

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Which describes the combined variation in the formula v = ℓwh?

a. v varies jointly with ℓ, w, and h.

b. v varies inversely with ℓ, w, and h.

c. v varies jointly with ℓ and h.

d. v varies directly with w and h

This is the concept of proportionality; we are required to find the combined variation for the volume formula given by:

V=length*width*height

V=lwh

here we see that volume is directly proportional to width, length and height;

therefore the correct answer is:

A] V varies jointly as l,w and h

First question is D: F varies directly with x and y, and inversely with z.

Second Question is B Y=kx^3/sq root z

Edge Verified

1.) For inverse relationships, y = k/x

3 = k/6

k = 3 x 6 = 18

2.) y = k/x

14 = k/3

k = 14 x 3 = 42

Required equation is y = 42/x

3.) arA = brB

60 x 5400 = 45 x rB

rB = 60 x 5400 / 45 = 7,200

Therefore, the speed of Gear B is 7,200 rpm

4.) y = k/x

5 = k/20

k = 5 x 20 = 100

When x = 10, y = 100/10 = 10

5.) y = k/x

sqrt(32) = k/sqrt(8)

k = sqrt(32) x sqrt(8) = sqrt(32 x 8) = sqrt(256) = 16

Constant of variation is 16.

6.) The length of an arc varies directly with its radius and angle measurement.

7.) z = k/xy

k = xyz = 2 x 4 x 0.5 = 4

z = 4/xy

When x = 4 and y = 9,

z = 4/(4 x 9) = 4/36 = 1/9 = 0.11

8.) z varies directly with the square of x and inversely with the cube of y is given by the equation

z = kx^2 / y^3

9.) BMI = 705w/h^2 = 705 x 185 / 5'8" = 25,407.5

10.) The height of a cone varies directly with its area and inversely with the square of the radius.

when the rest of the variables are held constant

Step-by-step explanation:

V=7+h

Explanation is because it is