Remaining "How Did I Do?" Uses: 2/3Use the given information to find the unknown value.y varies inversely with the cube of x. When x = 3, then y = 1. Find y when x = 1.Enter the exact answer.

Answered: Image /qna-images/answer/858a7e99-9db6-4a9e-b6ce-fa9953443fe2.jpg

Answered: Remaining "How Did I Do?" Uses: 2/3 Use…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.8: Modeling Using Variation

Problem 3TI: A quantity x varies directly with the square of y and inversely with z. If x=40,wheny=4andz=2 . find...

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Similar questions

Fill in the blanks. The joint variation model z=kxycan be described as “z varies jointly as x and y,” or “z is to x and y.”
Fill in the blanks. The direct variation model y=kxncan be described as “y varies directly as the nth power of x,” or “y is to the nth power of x.”
Temperature An object at a temperature of 80C is placed in a room at 20C . The temperature of the object is given by T=20+60e0.06m where m represents the number of minutes after the object is placed in the room. How long does it take the object to reach a temperature of 70C ?
Power Consumption: The figure shows the power consumption in San Francisco for a day in September (P is measured in megawatts; t is hours stating at midnight). (a) What was the power consumption at 6:00 A.M? At 6:00 P.m.? (b) When was the power consumption the lowest? (c) Find the net change in the power consumption from 9:00 A.M. to 7:00 P.M/
Medical Drugs When a certain medical drug is administered to a patient, the number of milligrams remaining in the patients bloodstream after t hours is modeled by D(t)=50e0.2t How many milligrams of the drug remain in the patients bloodstream after 3 hours?
Electrical resistance The resistance of a wire varies directly as the length of the wire and inversely as the square of its diameter. A 1000-foot length of wire, 0.05 inch in diameter, has a resistance of 200 ohms. What would be the resistance of a 1500-foot length of wire that is 0.08 inch in diameter.
Computer Virus The number V of computers infected by a virus increases according to the model Vt=100e4.6052t, where t is the time in hours. Find the number of computers infected after (a) 1 hour, (b) 1.5 hours, and (c) 2 hours.
A quantity x varies directly with the square of y and inversely with z. If x=40,wheny=4andz=2 . find x when y=10andz=25 .
A Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute, is given by v=1761-0.834t, where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 5 seconds?
In chemistry the volume for a certain gas is given by V=20T , where Vis measured in cc and T is temperature in °C. If the temperature varies between 80°C and 120°C, find the set of volume values.
Filling a Tank The water level in a tank rises 4feet every minute. Write an equation of change that describes the height H, in feet, of the water level at time t in minutes.

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Remaining "How Did I Do?" Uses: 2/3 Use the given information to find the unknown value. y varies inversely with the cube of x. When x = 3, then y = 1. Find y when x = 1. Enter the exact answer.