10:55 0@ l 54% INo Substitute For Hard Work P13 / 14>Substitution with Rotional1.2 umbersLevi's mom, Maggie, uses a cable tool rig to dig wells during themission trip. Her rig can dig 12.4 meters of hard rock per day. WhenMaggie starts working on one well, the hole is already 33 metersdeep.4. Use your expression to determine the height of the hole aftereach number of days.b. 5 days after Maggie startsCLLesson 1: No Substitute for Hard Work+ 10:54 O@ l 54% :No Substitute For Hard Work P12 / 14>Substitution wth Rational1.2 eLevi's mom, Maggie, uses a cable tool rig to dig wells during themission trip. Her rig can dig 12.4 meters of hard rock per day. WhenMaggie starts working on one well, the hole is already 33 metersdeep.4. Use your expression to determine the height of the hole aftereach number of days.-33 - 12.4d-33 - 12.4 Ca. 2 days after Maggie startsLesson 1: No Substitute for Hard Work+

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Description: 10:55 0@ l 54% INo Substitute For Hard Work P13 / 14>Substitution with Rotional1.2 umbersLevi's mom, Maggie, uses a cable tool rig to dig wells during themission trip. Her rig can dig 12.4 meters of hard rock per day. WhenMaggie starts working on on

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Levi's mom, Maggie, uses a cable tool rig to dig wells during the mission trip. Her rig can dig 12.4 meters of hard rock per day. When Maggie starts working on one well, the hole is already 33 meters deep. 4. Use your expression to determine the height of the hole after each number of days. b. 5 days after Maggie starts

Levi's mom, Maggie, uses a cable tool rig to dig wells during the mission trip. Her rig can dig 12.4 meters of hard rock per day. When Maggie starts working on one well, the hole is already 33 meters deep. 4. Use your expression to determine the height of the hole after each number of days. b. 5 days after Maggie starts

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 12E: C of these fish caught by fishing over the life span of the fish is given by the catch equation...

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C of these fish caught by fishing over the life span of the fish is given by the catch equation C=FM+FN0 where F is the proportion of fish caught annually, M is the proportion of fish that die of natural causes annually, and N0 is the original number of fish F stocked in the lake. If we let x denotes the ratio FM, then the catch equation can be rewritten as C(x)=x1+xN0 Assume that a lake is stocked with 1000 channel catfish a. Write the catch equation for the lake stocked with channel catfish. b. What is the horizontal asymptote for the catch equation? c. Explain what the horizontal asymptote means in terms of the original 1000 fish. d. What is the vertical asymptote for the catch equation? Does the pole of the equation have any meaning in terms of the fish population?
The radius r, in inches, of a spherical balloon isrelated to the volume, V, by r(V)=3V43 . Air is pumped into the balloon, so the volume after t seconds is given by V(t)=10+20t . a. Find the composite function r(V(t)) . b.Find the exact time when the radius reaches 10 inches.
For the following exercises, use this scenario: The population P of an endangered species habitat for wolves is modeled by the function P(x)=5581+54.8e0.462x , where x is given in years. Use the intersect feature to approximate the number of years it will take before the population of the habitat reaches half its carrying capacity.
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A hot pie that was cooked at a constant temperature of 325° F is taken directly from an oven and placed outdoors in the shade to cool on a day when the air temperature in the shade is 85° F. After 5 minutes in the shade, the temperature of the pie had been reduced to 250° F. Determine the time required for the pie to reach 275° F. a. 2.13 minutes b. 1.32 minutes c. 4.21 minutes d. 3.12 minutes
The cost C(x) (in $1000) for a city to remove x% of the waste from a polluted river is given by C(x)=80x/(100-x) 1)Determine the cost to remove 20%, 40%, and 90% of the waste. Round to the nearest thousand dollars. 2)If the city has $320,000 budgeted for river cleanup, what percentage of the waste can be removed?
The cost C(x) (in $1000) for a city to remove x% of the waste from a polluted river is given by C(x)=80x/(100-x)a) Determine the cost to remove 20%, 40%, and 90% of the waste. Round to the nearest thousand dollars.b) If the city has 320,000 budgeted for a river cleanup, what percentage of the waste can be removed?
A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the temperature is 75 degree F. a) if the temperature of the turkey is 150 degree F after half an hour, what is the temperature after 35 minutes? b) when will the turkey have cooled to 105 degree F?
The number N of bacteria in a refrigerated food is given by N(T)=20T^2-80T +500, 2<T<14 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration the temperature of the food is given by T(t)= 4t +2 , 0<t<3 Where t is the time in hours 1) Find and interpret (N*T)(t) 2) Find the time when the bacteria count reaches 2000 N(T)=20T^2-80T +200, 2<T<12 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration the temperature of the food is given by T(t)= 4t +2 , 0<t<5 Where t is the time in hours 3) Find and interpret (N*T)(t) 4) Find the time when the bacteria count reaches 1000