You cook a turkey until the internal temperature reaches 180°f. the turkey is placed on the table until the internal temperature reaches 100°f, and it can be carved. when the room temperature is 72°f, the cooling rate of the turkey is $r=0.067$ . how long do you have to wait until you can carve the turkey? use newton's law of cooling to solve the problem. round your answer to the nearest whole minute.

Answers

Answer 1

The newton's law of cooling is used to determine the waiting time

You will have to wait for 20 minutes to carve the turkey

How to determine the time?

By newton's law of cooling, we have:

[tex]T = (T_o - T_R) e^{-rt} + T_R[/tex]

From the question, we have:

T = 100°f ---- The serving temperature

To = 180°f --- The initial temperature

TR = 72°f ----- the room temperature

r = 0.067 -- the cooling rate

So, we have:

[tex]T = (T_o - T_R) e^{-rt} + T_R[/tex]

[tex]100 = (180 - 72) e^{-0.067t} + 72[/tex]

Subtract 72 from both sides

[tex](180 - 72) e^{-0.067t} = 28[/tex]

Evaluate the difference

[tex]108 e^{-0.067t} = 28[/tex]

Divide both sides by 108

[tex]e^{-0.067t} = 0.25923[/tex]

Take the natural logarithm of both sides

[tex]-0.067t = -1.3500[/tex]

Divide both sides by -0.067

[tex]t = 20.149[/tex]

Approximate

[tex]t = 20[/tex]

Hence, you will have to wait for 20 minutes to carve the turkey

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Related Questions

8-1 skills practice multiplying and dividing rational expressions

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To multiply or divide rational expressions, what is expected is that the 2 numerators and the 2 denominators are multiplied or divided with each other.

What is a rational expression?

This is the ratio of two polynomials in mathematics. To multiply the expression it is the same as the normal multiplication done in mathematics.

The numerators first have to be multiplied together and then the same is done to the denominator.

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A large industrial machine is able to monitor brainly

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yes, they just monitor by flagged key words.

How many ways can you listen to 3 songs from a cd that has 12 selections?

Answers

Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.

What is permutation

Permutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.

In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.

In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation

To obtain the total of ways in which m elements can be placed in n positions, the expression is used:

[tex]P=\frac{m!}{(m-n)!}[/tex]

The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.

Number of ways you can listen to 3 songs

The order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.

Being:

m=12n=3

and replacing in the expression for permutation, you get:

[tex]P=\frac{12!}{(12-3)!}[/tex]

[tex]P=\frac{12!}{9!}[/tex]

[tex]P=\frac{479001600}{362880}[/tex]

P= 1320

Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.

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Financial algebra: advanced algebra with financial applications workbook answers

Answers

An example of Financial algebra is find the 20% increase to the original price of 1.2.

What is Financial algebra?

Financial Algebra is known to be a type of semester course that is often made for the upperclassmen. It is one that has been set up to create a good and strong foundation in logical thinking and problem solving in terms of finance and money.

= 20% of the price = 1.2

The cost of the selling price of share = 1.247.65

Therefor it will be= 57.18

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A food worker has prepared a large pot of rice that must be cooled

Answers

Hi! I hope this answer can help you :)

To safely cool rice, it is recommended that after cooking, the pot of rice should be separated into plates and immediately stored in a refrigerator.

Which of these statements accurately describes the ku klux klan? check any of the boxes that apply. Members tried to hide their identities. The klan supported radical reconstruction. Members attacked african americans and white people. The klan was the only white supremacy group in the south

Answers

The statements which accurately describes the Ku Klux Klan is:

Members tried to hide their identities.Members attacked African Americans and White people.

What is the Ku Klux Klan?

The Ku Klux Klan can be defined as two distinct hate and White supremacist terrorist organization that was founded in 1865 in the United States of America.

The main purpose of the Ku Klux Klan was to suppress and victimize African Americans, especially those that were newly freed as slaves.

In conclusion, the statements which accurately describes the Ku Klux Klan is:

Members tried to hide their identities.Members attacked African Americans and White people.

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Answer:

A and C

Explanation:

Members tried to hide their identities.

Members attacked African Americans and white people.

Based on what you have learned, write a short paragraph to serve as the introduction to gandhi’s obituary

Answers

Answer:

We are here today to remember the life of Mohandas Gandhi, leader of the Indian independence movement. An assassin cut short Gandhi's life, but we should best remember him not for his death but for the way he chose to live.

Explanation:

Edge

You are playing a game where you are rolling a fair 6 sided number cube

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if I'm not wrong you might be talking about the game Dice???

An anthropologist has determined that a newly discovered human bone is 8000 years old. how much of the original amount of carbon-14 is in the bone?

Answers

Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%

What is carbon 14?

This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.

The formula that is used to determine the original amount of carbon 14 in the bone is given as:

[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]

The value of t is given as 8000.

What is to be done is to solve the equation using the value of t

[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]

= ae⁻⁰.⁹⁶

Solve for exp(-0.96)

y = 0.3829a

= 38.29%

Therefore the amount of carbon 14 that is in the bone is 38.29%

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Society is a joint-stock company, in which the members agree, for the better securing of his bread to each shareholder, to surrender the liberty and culture of the eater. The virtue in most request is conformity. Self-reliance is its aversion. Based on the excerpt, what is emerson’s view of the relationship between society and individuals? society helps people feel more free. Society protects people’s rights. Society pushes people to be more unique. Society encourages people to be alike

Answers

Emerson’s view of the relationship between society and individuals is; D; Society encourages people to be alike.

What is the relationship between views?

From the question, we see the society being referred to as a  "joint-stock company" where the members agree on what they want and what they do not want.

Subsequently, we see how the society must work hand in hand to make sure that they give everyone what belongs to them so that everyone is self reliant.

Finally, we can say that the relationship between society and individuals is one where society encourages people to be alike which is depicted where the passage calls for conformity.

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Answer:

your answer is d

Explanation:

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Answers

Answer:

Always true

Explanation:

An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.

Hope my answer helped :)


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a
value of ab?

Answers

Answer:

sorry is that question correct pls

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Answers

Answer: seven states seceded from the Union.

Explanation:

pasta with garlicky spinach and buttered pistachios

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that sounds like good pasta

A wave travels 600 m/s at a frequency of 200 hz. what is its wavelength?

Answers

The wavelength of the wave traveling at the given velocity and frequency is 3m.

Given the data in the question;

Velocity of wave; [tex]v = 600m/s[/tex]Frequency; [tex]f = 200Hz = 200s^{-1}[/tex]Wavelength; [tex]\lambda = \ ?[/tex]

Wavelength

Wavelength is simply defined as the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where v is velocity and f is frequency.

To determine the wavelength of the wave, we substitute our given values into the expression above.

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{600m/s}{200s^{-1}} \\\\\lambda = \frac{600ms/s}{200}\\\\\lambda = 3m[/tex]

Therefore,  the wavelength of the wave traveling at the given velocity and frequency is 3m.

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Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler in the summer months and warmer in the winter months.

Answers

Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler is False.

What is Specific heat capacity?

This is defined as the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree.

it takes a lot of energy to increase the temperature of water which means it has a high specific heat capacity in this scenario.

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Answer:

False

Explanation:

Go math grade 5 chapter 10 mid chapter checkpoint answer key

Answers

An example of  go math grade 5 chapter 10 mid chapter checkpoint Question  is 90 in. = ______ ft ______ in. The answer is 7 ft 6 in.

What is Go math grade 5 about?

This is a math practice book that has been made specifically for grade 5. It aim to tech the students various topics in math that will broaden their level of understanding.

The question of 90 in. = ______ ft ______ in.

To solve for it, one has to change the larger unit into the smaller unit.

Thus we then Convert inches to feet.

1 feet is made up of = 12 inches

90 inches = 84 inches + 6 inches

Then 84/12 = 7 feet

Therefore,  90 in. = 7 ft 6 in.

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select the correct proper or common name for the compound.

Answers

Answer:

Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.

Explanation:

Select the transition that results in the greatest energy change when an excited electron relaxes to a lower state in a hydrogen atom.

Answers

n=5 to n=4 is the transition that results in the greatest energy change relaxes to a lower state.

What is Transition state?

This is defined as a particular configuration along the reaction coordinate.

n=5 to n=4 is involved in a chemical reaction as the electrons can be shared.

This is the reason why it has the greatest energy change when an excited electron relaxes to a lower state in a hydrogen atom.

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When reacting na with cl2, we calculated that the theoretical yield should be 13

Answers

Answer:

96.15

Explanation:

when reacting with Na with Cl2, we calculated that the theoretical yield should be 13.0 grams. our actual yield was 12.5 grams. what is the percent yield? 96.15

for any given year, the cpi is the price of the basket of goods and services in the

Answers

Answer:

a.given year divided by the price of the basket in the base year, then multiplied by 100.

Explanation:

According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas

Answers

Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.

What is budget?

A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.

It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to  budget $275 for insurance to buy or lease the new car.

See full question below.

According to your research, you need to budget _____

for insurance and gasoline if you choose to

buy or lease the new car.

If you choose to buy the used car, you need to budget _____

for insurance and gas.

$225 $200

$250 $225

$275 $250

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Answer:

$275

$225

Explanation:

Envision mathematics common core volume 2 answer key grade 6

Answers

Envision math common core can be used to analyze and solve linear equations.

What is Envision math?

Envision math common core can be defined as a mathematics curriculum that are designed and developed for grades K-5 and K-6. Also, it was specifically designed to combine both problem-based questions and visual learning together.

This ultimately implies that, envision math common core can be used in the following ways:

To analyze and solve linear equations.To model relationships between problems.To investigate bivariate data.

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Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?

Answers

Answer:

Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation

Explanation:

the heat lamps produce radiation just like a microwave.

A 10-newton object moves to the left at 1 m/s. Its kinetic energy is approximately ____ joules

Answers

Answer:

0.5

I hope this helps you

:)

The kinetic energy will be "0.5 J". To understand the calculation, check below.

Kinetic Energy

According to the question,

Mass or object, m = 10 N or,

                               = 1 kg

Speed, v = 1 m/s

We know the formula,

Kinetic energy, K.E = [tex]\frac{1}{2}[/tex] mv²

By substituting the values, we get

                                    = [tex]\frac{1}{2}[/tex] × 1 × (1)²

                                    = [tex]\frac{1}{2}[/tex] × 1 × 1

                                    = [tex]\frac{1}{2}[/tex]

                                    = 0.5 J

Thus the above answer is correct.  

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Answers

An example of angles of rotation and radian measure question is convert  the measure 20° to radian and then from radian to degree.

How does Radians and degrees both measure angles?

Radians and degrees are known to often measure angles. Note that one can convert from radian to degree and from degree to radian.

Note that one rotation that is around a unit circle is said to equals 360 degrees or 2π radians.

To solve for the option above 20°

One can say in Radian, it will be π/180

In degree , it will be π/9

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"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep." "i did not have strange dreams."

Answers

The expression "i did not have strange dreams." validates the statements below "I did not eat spicy foods" and "there is no thunder while I sleep"

Validity of Logical Statements

In this exercise, the person gave three logical statements which are

"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep.

Now since the person did not have/ experience strange dream, this proves that the person did not eat spicy food and there was not thunder while the person was asleep.

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Based on the equation and the titration results what is the concentration of the h2so4(aq)

Answers

Answer:

The value is going to be 0.96 M. You would need to refer to the chart so that you can solve the question properly. To solve for the value of this, you need to know the value of each mole. The equation is going to be MaVa=MbVb x (12). You would need to change the concepts to (0.16)(36.0) x = 0.48.

How to simplify numerical expressions with exponents

Answers

Answer:

By multiplying it with each others

Answer:

multiply

Explanation:

One of the largest quakes ever recorded in modern times took place in southern Chile and measured 9.5 on the Richter scale.

What does the Richter scale measure?

Answers

The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.

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