Suppose that z varies jointly with x and y.Find the constant of proportionality k if z = 633.6 when y = 18 and x = 4.k =Using the k from above write the variation equation in terms of x and y.z =Using the k from above find z given that y = 22 and x = 13.Z =If needed, round answer to 3 decimal places.

Answered: Image /qna-images/answer/9ea2f38c-57df-48f8-9f56-aef273be2f4c.jpg

Answered: Suppose that z varies jointly with x…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 24AR: a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76...

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Find the constant of proportionality. E varies jointly with I and R. If R=25 and I=5, then E=125.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
A quantity y varies inversely with the square of x. If y=8whenx=3 , find y when x is 4.
Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76 inches and x=10.52 inches. Compute t to 2 decimal places.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

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