1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frutty [35]
3 years ago
8

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.

Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

  • k = 0.006
  • T = 48 °F

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.

You might be interested in
Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

y = mx+b

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0
3 years ago
What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6
Mashutka [201]
The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
4 0
3 years ago
4a + 3 - 9 = -7 + 2 + a
rjkz [21]
4a + 3 - 9 = -7 + 2 + a
4a - 6 = -5 + a
4a - a = -5 + 6
3a = 1 / : 3
a = 1/3

6 0
3 years ago
Read 2 more answers
PLEASE HELP QUICKLY<br> What is the value of y
zepelin [54]

Answer:

y = 8 degrees

Step-by-step explanation:

128 + 7y - 4 = 180

7y - 4 = 52

7y + 56

y = 8

7 0
2 years ago
Iron can exist as a solid or liquid. Which statement best comparison solid iron and liquid iron?
tester [92]

Answer: Iron, a solid at room temperature, becomes a liquid at 2800 degrees Fahrenheit (really, REALLY hot) and a gas at 5182 degrees Fahrenheit (about half the temperature of the sun). When things are hot, the molecules and atoms move around more and faster, and when they are cold they are slower.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A manager at a shoe store received an order for 346 pairs of shoes what is 346 rounded to the nearest hundred
    11·2 answers
  • The prime factorizations of 16 and 24 are shown below. Prime factorization of 16: 2, 2, 2, 2 Prime factorization of 24: 2, 2, 2,
    10·2 answers
  • The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width
    9·1 answer
  • Solve x^2 = –169 this is a question on square and cubed roots
    8·1 answer
  • Spencer is carrying out a survey of the bear population at Yellowstone National Park. He spots 2 bears - one has a light colored
    10·1 answer
  • Rewrite the following equation in exponential form.<br> log49 (7) =1/2
    10·1 answer
  • Pastillas de leche are milk candies that originated in the Philippines that contain only two ingredients: sugar and milk. In 18
    14·1 answer
  • I need help im in the zoom with my tech
    9·2 answers
  • 5.035 rounded to the nearest hundredth
    7·2 answers
  • Brainliest if it is right
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!