xoaprilox
15.03.2020 •
Mathematics
After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms closer to room temperature 72 degrees f. The turkey reaches the temperature of 41 degrees F after 35 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 80 minutes.
Solved
Show answers
More tips
- H Health and Medicine How to Help Men Gain Weight?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics 25 = 3x + 8 What’s the answer...
- H History Which of the following statements about Soviet leader Mikhail Gorbachev is NOT accurate? In 1987, Gorbachev and Reagan agreed to a new arms treaty in which the Soviet...
- M Mathematics Ashley is a 130 lb athlete who biked on a cycle ergometer at a steady state of exercise for 48 minutes. Her average VO2 was 2.72 LO2/min. and her average VCO2 was 2.24...
- M Mathematics Bridget s Bakery sells cupcakes in packages of 6. Perry s Pastries sells cupcakes in packages of 10. Sheldon wants to buy the same number of cupcakes from each bakery...
- E English What happened as a result of the First Battle of Bull Run? Southern generals realized they did not have the skills they needed. The Union army swept through Virginia...
Ответ:
Step-by-step explanation:
The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...
(31/38)^(t/35) = e^(-kt)
Taking the natural log, we find ...
(t/35)ln(31/38) = -kt
k = ln(38/31)/35 ≈ 0.00581711
To the nearest thousandth, this is ...
k ≈ 0.006
Using this in the equation for temperature, we have ...
T = 72 -38e^(-0.006t)
Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about
T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49
T ≈ 48 °F
The value of k is about 0.006, and the turkey temperature is about 48 °F.
Ответ:
12 sets because 2 times 2 times times is 12