To the nearest minute, how long will it take the turkey to cool to 110° F? For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and....

For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F.

To the nearest minute, how long will it take the turkey to cool to 110° F?

Expert Solution

Consider that a turkey is taken out of the oven with an internal temperature of 165°F and allowed to cool in a 75°F room. After 30 minutes the internal temperature of the turkey was145°F.

The internal temperature of the turkey after t minutes is

T(t) = 90e-0.0084t + 75

Put T(t) = 110

So,

90e-0.0084t + 75 = 110

90e-0.0084t = 35

t = 1/0.0084{ln(35/90)}

≈ 112

Hence, after 112 minutes the turkey will cool to 110°F.

Junaid answered 1 year ago

For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F...

For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F.To the nearest degree, what will the temperature be after 50 minutes?

Write a formula that models this situation. For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit..

For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F.Write a formula that models this situation.

How many minutes will it take the soup to cool to 85°F? For the following exercises, use this scenario: A soup with an internal temperature of 350° Fahrenheit was taken..

For the following exercises, use this scenario: A soup with an internal temperature of 350° Fahrenheit was taken off the stove to cool in a 71°F room. After fifteen minutes, the internal temperature of the soup was 175°F.How many minutes will it take the soup to cool to 85°F?

Use Newton’s Law of Cooling to write a formula that models this situation. For the following exercises, use this scenario: A soup with an internal temperature of 350° Fahrenheit was...

For the following exercises, use this scenario: A soup with an internal temperature of 350° Fahrenheit was taken off the stove to cool in a 71°F room. After fifteen minutes, the internal temperature of the soup was 175°F.Use Newton’s Law of Cooling to write a formula that models this situation.

Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute...For the following exercises, use this scenario: A biologist recorded a count

For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1,000 bacteria present after 20 minutes.Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute, how long did it take the population to double?

Using the model found in the previous exercise, find f(10) and interpret the result. Round to the nearest hundredth. For the following exercises, use this scenario: A doctor prescribes 125 milligrams..

For the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour.Using the model found in the previous exercise, find f(10) and interpret the result. Round to the nearest hundredth.

To the nearest tenth, how many days will it be before the rumor spreads to half the carrying capacity? For the following exercises, use this scenario: The equation N(t) = 1200/1 + 199e−0.625t models..

For the following exercises, use this scenario: The equation N(t) = 1200/1 + 199e−0.625t models the number of people in a school who have heard a rumor after t days.To the nearest tenth, how many days will it be before the rumor spreads to half the carrying capacity?

To the nearest whole number, how many people will have heard the rumor after 3 days? For the following exercises, use this scenario: The equation N(t) = 500/(1 + 49e-0.7t) models the number of people in ....

For the following exercises, use this scenario: The equation N(t) = 500/(1 + 49e-0.7t) models the number of people in a town who have heard a rumor after t days.To the nearest whole number, how many people will have heard the rumor after 3 days?

Question