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
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