189k views
3 votes
I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5

User Magirtopcu
by
7.7k points

1 Answer

2 votes

Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:

y = kx/(sqrt(z)), where k is a constant.

We can find the value of k by substituting the known values into the equation. We get:

1/6 = k*20/sqrt(6)

k = 1/240

Substituting this value of k into the original equation, we get:

y = (1/240)x/(sqrt(z))

Substituting the values x = 14 and z = 5 into this equation, we get:

y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22

Explanation:

User Chayala
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories