A turkey is pulled from the oven when the internal temperature is 165° Fahrenheit, and is allowed to cool in a 75° room.  If the temperature of the turkey is 145° after half an hour. Use an exponential model. What will the temperature be after 60 minutes? How long will it take the turkey to cool to 105°?

Q: Find the equation of an exponential function of the form f(x) = a · bª that passes through the…

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Q: find the exponential model that fits the points (2,9) and (0,1)

A: According to the problem, we have

Q: Find a formula for the exponential function passing through the points (-2,5) and (1, 15). y =

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

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Q: After a large number of drinks, a person has a blood alcohol level of 140 mg/dL (milligrams per…

A: To calculate: the time for the person's blood alcohol level to decrease to 20 mg/dL Given:Initial…

Q: scientist finds that an intial bacteria count was 45 million and 5 hours later, the count was up to…

A: Please refer to the image below

Q: The​ half-life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for…

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Q: The population of Aarb and the population of Bullm are each growing exponentially. In the year 2000,…

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Q: A radioactive substance, calculusium, has a half life of 72 years. If the amount after 40 years is…

A: According to question given that A radioactive substance, calculusium has a half life of =72 years…

Q: The population of rabbits on an island is growing exponentially. In the year 2001, the population of…

A: please see the explanation below

Q: Country A has a growth rate of 3.1​% per year. The population is currently 5,892​,000, and the land…

A: Growth rate of country is r=3.1% Let  P0 is the population of country, P0=5892000. The land area of…

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

A:

Q: For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a…

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Q: The number of bats in a colony is grown exponentially. After two years there are 180 bats. After…

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Q: 2. At the start of the experiment, there are 400 bacteria. If the bacteria follow an exponential…

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Q: Each day, an investor deposits twice as much into the bank as she did the day before. Her initial…

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Q: The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5…

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Q: Find the exponential equation whose graph passes through the points (-1,5) and (2,32) y =

A: Explanation: Given that: Two points are -1,12 and 2,32 Concept: The standard equation of an…

Q: 3 Find the exponential equation whose graph passes through the points (-2, 16 y = -) and (3,192)

A: We have to find the exponential equation of graph.

Q: Alcohol After a large number of drinks, a person has a blood alcohollevel of200 mg/dL (milligrams…

A: Solution:GivenA=200To find the exponential modelLet the exponential function be y=Abt

Q: Find a formula for the exponential function passing through 4 the points (-1,) and (3,108) y =

A: Exponential function: - An exponential function in mathematics is one of the form f(x)=abx, where…

Q: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: We have to find the equation of an exponential function that goes through the following two points…

Q: 9. The number of bacteria in a Petri dish grows exponentially, starting with just 1 bacterium, but…

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Q: The count in a bateria culture was 500 after 15 minutes and 1100 after 30 minutes. Assuming the…

A: Aim:  To find the expression for the bacteria count N(t) as a function of time 't' (in minutes).…

Q: Find a formula for the exponential function passing through the points (-3,5/27) and (3,135)

A: The objective is to find the exponential function

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye which decays exponentially.…

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Q: Find the formula for an exponential function that passes through the two given points. (1,-1) and…

A: Suppose the function is of the form

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

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Q: A colony of bees is growing exponentially at a rate of 1.9% per day.    How long wikl it take for…

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Q: A scientist begins with 200 milligrams of a radioactive substance that decays exponentially. After…

A: We will solve for the amount remaining after the given time.

Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: The number of flies f(t) will be governed by the equation, f(t) = 24etτ, where τ is the time…

Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

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Q: Country A has a growth rate of 2.9% per year. The population is currently 4,170,000, and the land…

A:

Q: A) Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

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Q: The graph (in the attached picture) shows four exponential functions, each with the equation; y =…

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Q: Find a formula for the exponential function passing through the points (-3, -) and (1, 6). 27 y =

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Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of thorium-229 is 7340 years. How…

A: Given exponential decay function: A=A0ekt......(1) where A0, of radioactive substance, A represents…

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A: Given: B(0)  = 500, B(2) = 200, B = B0akt

Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…

A: Given  we have to use  A = A0ekt The half life of thorium is 7340 years

Q: Find a formula for the exponential function passing through the points (-2, 3 ) and (2,48) 16 y =

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Q: Find a formula for the exponential function passing through the points (-1, 5252) and (3, 40).y =

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Q: Find a formula for the exponential function passing through the points (-3, and (1, 20). 64 y =

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Q: Find a formula for the exponential function passing through the points (-1, and (2, 80). y =

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Q: A radioactive substance, calculuism, has a half life of 72 years. If the amount after 40 years is 92…

A:

Q: In 2010 , the population of a colony is 12000  , and is decreasing exponentially at a rate of 2.1%…

A: (a) It is given that, in 2010 the population of a colony is 12000, that is, the initial amount is P…

Q: A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a…

A: It is an important part of statistics. It is widely used.

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.