Respuesta :
The relationship between x, y, and z is x = 125y²/2z and the value of k is 125/2 if the quantity x varies directly with the square of y and inversely with z. If x=40 when y=4 and z=2, find x when y=10 and z=25.
What is a proportional relationship?
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
A quantity x varies directly with the square of y and inversely with z.
Mathematically:
x ∝ y²/z
Removing proporrtional sign:
x = ky²/z
Plug x = 40,
y = 4
z = 25
40 = k(4)²/25
k = (40×25)/16
k = 125/2
The relationship becomes:
x = 125y²/2z
Thus, the relationship between x, y, and z is x = 125y²/2z and the value of k is 125/2 if the quantity x varies directly with the square of y and inversely with z. If x=40 when y=4 and z=2, find x when y=10 and z=25.
Learn more about the proportional here:
brainly.com/question/14263719
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