Question

A roast is taken from the refrigerator (where it had been for several days) and placed...

A roast is taken from the refrigerator (where it had been for several days) and placed immediately in a preheated oven to cook. The temperature R = R(t) of the roast t minutes after being placed in the oven is given below.

R = 350 − 309e−0.001t

   degrees Fahrenheit

(a) What is the temperature of the refrigerator?
°F

(b) Express the temperature of the roast 45 minutes after being put in the oven in functional notation.
R(  )

Calculate the value of the above term. (Round your answer to two decimal places.)
°F

(c) By how much did the temperature of the roast increase during the first 12 minutes of cooking? (Round your answer to two decimal places.)
°F

(d) By how much did the temperature of the roast increase from the first hour to 12 minutes after the first hour of cooking? (Round your answer to two decimal places.)
°F

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. A roast turkey is taken from an oven when its temperature has reached 185°F and...
1. A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answer to the nearest whole number.) (a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 60 minutes? T(60) =  °F (b) When will the turkey have cooled to 95°? t =  min 2. Let c be a positive number. A differential equation...
An orange is taken from a refrigerator placed on a table in the kitchen. 7 minutes...
An orange is taken from a refrigerator placed on a table in the kitchen. 7 minutes later the temperature of the orange is 50 degrees F. 7 minutes after that the temperature of the orange is 60 degrees F. And finally after 7 more minutes the temperature of the orange is 68.5 degrees F. A) SET UP BUT DO NOT SOLVE the differential equation(s) and condition(s) to determine the temperature, T(t) of the orange at any time t. B) The...
A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and...
A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 148 Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100 Fahrenheit? hours.
A roasted turkey is taken from an oven when its temperature has reached 185 ∘ Fahrenheit...
A roasted turkey is taken from an oven when its temperature has reached 185 ∘ Fahrenheit and is placed on a table in a room where the temperature is 75 ∘ Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 146 ∘ Fahrenheit after half an hour, what is its temperature after 45 minutes? (b) When will the turkey cool to 100∘100∘ Fahrenheit?
When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes...
When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has increased to 10°C. (Round your answers to two decimal places.) (a) What is the temperature of the drink after 35 minutes?    (b) When will its temperature be 16°C? (minutes)
A thermometer is removed from a room where the temperature is 70° F and is taken...
A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 30° F. After one-half minute the thermometer reads 60° F. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.) ° F How long will it take for the thermometer to reach 35° F? (Round your answer to two decimal places.)
A thermometer is removed from a room where the temperature is 70° F and is taken...
A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 20° F. After one-half minute the thermometer reads 60° F. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.) How long will it take for the thermometer to reach 35° F? (Round your answer to two decimal places.) min
A thermometer is removed from a room where the temperature is 23° C and is taken...
A thermometer is removed from a room where the temperature is 23° C and is taken outside, where the air temperature is −10° C. After one-half minute the thermometer reads 12° C. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.) = ° C How long will it take for the thermometer to reach −8° C? (Round your answer to two decimal places.) = min
A container of hot liquid is placed in a freezer that is kept at a constant...
A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20 ∘ F. The initial temperature of the liquid is 160 ∘ F . After 5 minutes, the liquid’s temperature is 60 ∘ F . How much longer will it take for its temperature to decrease to 30 ∘ F? In each step, round to 5 decimal places. Use editor to answer the questions below. Need not show extra work. Do not...
Refrigerator prices are affected by characteristics such as whether or not the refrigerator is on sale,...
Refrigerator prices are affected by characteristics such as whether or not the refrigerator is on sale, whether or not it is listed as a Sub-Zero brand, the number of doors (one door or two doors), and the placement of the freezer compartment (top, side, or bottom). The table below shows the regression output from a regression model using the natural log of price as the dependent variable. The model was developed by the Bureau of Labor Statistics. Variable Coefficient Standard...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Consider insertsort. Suppose that the input array A has 1% probability to be monotonically decreasing. Show...
    asked 7 minutes ago
  • Your company is thinking of introducing a Bring Your Own Device (BYOD) policy. You have been...
    asked 14 minutes ago
  • Attached is the file GeometricObject.java. Include this in your project, but do not change. Create a...
    asked 16 minutes ago
  • Suppose the number of cars in a household has a binomial distribution with parameters n =...
    asked 19 minutes ago
  • HR needs some information on the new interns put into a database. Given an id, email,...
    asked 40 minutes ago
  • Problem solving strategies Questions years = input("Enter a number of years and I'll tell you how...
    asked 44 minutes ago
  • Calculate ?Hrxn for the following reaction: CH4(g)+4Cl2(g)?CCl4(g)+4HCl(g) Use the following reactions and given ?H?s. C(s)+2H2(g)?CH4(g)?H=?74.6kJC(s)+2Cl2(g)?CCl4(g)?H=?95.7kJH2(g)+Cl2(g)?2HCl(g)?H=?184.6kJ Express...
    asked 51 minutes ago
  • ASCII (American Standard Code for Information Interchange) has an encoding for every character of the alphabet,...
    asked 1 hour ago
  • Is home confinement with electronic monitoring a deterrent? Are there negatives to being confined to one’s...
    asked 1 hour ago
  • Social hostility can have severe lasting effects of interperpersonal relationship during our adolescence years, which if...
    asked 1 hour ago
  • - A series RLC circuit has R=15 ?, L=1.5 H, and C=15 ?F. (a) For what...
    asked 1 hour ago
  • TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in...
    asked 1 hour ago