1. Express each of the following statements as a formula. kx Z = variations. Remember the formula for joint (z kxy) and combined %3D If all variables varies directly, they will be put in the numerator, and anything that varies inversely should be written in the denominator of the right side of the equation. a. a varies inversely with the square root of b and directly with c. b. p varies jointly with the cube of q and the square of rand inversely with s.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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1.
Express each of the following statements as a formula.
kx
variations.
y
Remember the formula for joint (z = kxy) and combined z=
If all variables varies directly, they will be put in the numerator, and anything that varies
inversely should be written in the denominator of the right side of the equation.
a.
a varies inversely with the square root of b and directly with c.
b.
p varies jointly with the cube of q and the square of r and inversely with s.
Three men can dig 2 identical trenches in 5 hours. Assuming that all the men work at
the same rate, how long will it take for 5 men to dig 7 trenches?
2.
Note that in this situation, the number of trenches varies directly as the number
of hours and the number of men. You may use the equation z kxy, to find the value
of k. Use the value of k to answer the question.
%3D
Transcribed Image Text:1. Express each of the following statements as a formula. kx variations. y Remember the formula for joint (z = kxy) and combined z= If all variables varies directly, they will be put in the numerator, and anything that varies inversely should be written in the denominator of the right side of the equation. a. a varies inversely with the square root of b and directly with c. b. p varies jointly with the cube of q and the square of r and inversely with s. Three men can dig 2 identical trenches in 5 hours. Assuming that all the men work at the same rate, how long will it take for 5 men to dig 7 trenches? 2. Note that in this situation, the number of trenches varies directly as the number of hours and the number of men. You may use the equation z kxy, to find the value of k. Use the value of k to answer the question. %3D
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