An object with initial temperature 120° F is submerged in large tank of water whose temperature is

70°F. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is

k= 0.2

F(t)=

Answers

Answer 1

Answer:

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]

Step-by-step explanation:

Newton's law of cooling states

"that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"

Newton's Law of Cooling is given by the formula

[tex]F(t)=Ts+(T0-Ts)^{e-kt[/tex]

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]


Related Questions

If the price for a meal is $15 and there is a $3 dollar tip, what percentage of the total is the tip?

Answers

Answer:

5%

Step-by-step explanation:

Answer:

3 is 20% of 15$

Step-by-step explanation:

If Mr. Vasquez can run 8 miles in 2 hours, then how many miles can he run in 1 hour?
I NEED HELPP nOw!!!!! pLz?!

Answers

Answer: four

Step-by-step explanation:

8/2=4

help when i look for an answer here the button to watch an add for the answer doesn't show up.​

Answers

What I understand you saying is you can't find the Ad Pop-up. But is this is a bad thing? No. It will speed up the process of you finishing your homework and you won't get stressed!

Hint: If you have an ad, you can skip to end so it will be faster.

easy question

This is the element that requires that no laws or statutes be violated, for example, if a construction contractor is not licensed in Oregon then they would be in violation of a State statute?
Select one:
a. agreement
b. capacity
c. legality
d. consideration

Answers

Answer is legality.

Hope this helped

Standard form for 4x^2+3y^2-16x+9y+16=0

Answers

See attachment for answer:

Write 12 and 599 thousandths in standerd form?

Answers

Answer:

12.599

Step-by-step explanation:

it might not be correct

sorry if not

Which set of ordered pairs represents a function?
a.
(2, 5), (1, 6), (0, 5), (1, 10)
b.
(5, 4), (4, 5), (1, 2), (1, 4)
c.
(0, 0), (1, 1), (2, 0), (3, 3)
d.
(2, 1), (3, 1), (5, 1), (5, 4)

Answers

Answer:

C

Step-by-step explanation:

-10 1/9 + 9 7/45 answer

Answers

Answer:

-43/45

Step-by-step explanation:

The length of a rectangular deck is three times it's width. If the deck's perimeter is 32 ft, what is the decks area?

Answers

Answer:

the length is 12 and the width is 4, therefore the area is 48ft²

I need help with this

Answers

I got the first one

Answer:

The Third Table

Step-by-step explanation:

Several different cheeses are for sale. The cheese comes in wedges

shaped like sectors of a circle. All of the wedges are the same height.


10a. Mai bought a wedge with a central angle of 45 degrees and radius 10

centimeters. What is the area of the top surface of this wedge? *

Answers

Answer:

39.30 [tex]cm^{2}[/tex]

Step-by-step explanation:

The area of the top surface of the wedge is the same as the area of a sector.

Area of a sector = (θ/[tex]360^{o}[/tex])[tex]\pi[/tex][tex]r^{2}[/tex]

where: θ is the central angle, and r is the radius.

Given that: central angle = [tex]45^{o}[/tex], radius = 10 centimetre.

Area of the top surface = Area of a sector = (θ/[tex]360^{o}[/tex])[tex]\pi[/tex][tex]r^{2}[/tex]

                                      = [tex]\frac{45^{o} }{360^{o} }[/tex] x [tex]\frac{22}{7}[/tex] x [tex](10)^{2}[/tex]

                                      = [tex]\frac{1}{8}[/tex] x [tex]\frac{22}{7}[/tex] x 100

                                      = 39.2857

                                     = 39.30 [tex]cm^{2}[/tex]

The area of the top surface of the wedge is 39.30 [tex]cm^{2}[/tex].

The area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².

What is the area of a circular sector?

The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.

It can be calculated if theta is measure in radian as,

[tex]A_{sector}=\dfrac{r^2\theta}{2}[/tex]

It can be calculated if theta is measure in degrees as,

[tex]A_{sector}=\dfrac{\pi r^2\theta}{360}[/tex]

Here, (r) is the radius of the circle and (θ) is the central angle.

Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.

Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. Thus, the area of the top surface of this wedge is,

[tex]A_{sector}=\dfrac{\pi (10)^2(45)}{360}\\A_{sector}\approx 39.3\rm\; cm^2[/tex]

Thus, the area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².

Learn more about the area of a circular sector here;

https://brainly.com/question/1283563

£200 is divided between Peter, Angad & Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as Nick. How much does Angad get?

Answers

Let the amount Nick gets = x

Angad gets 3x ( 3 times as much as Nick)

Peter gets 6x (Twice as much as Angad)

Add together to equal the total amount:

x + 3x + 6x = 200

Simplify:

10x = 200

Divide both sides by 10:

x = 20

Angad gets 3x = 3(20) = 60

During a special sales event, the dealership offers a 10% discount off of the retail price. After the discount, how much will a customer pay for this vehicle?

Answers

Answer: The customer will pay 90% of the retail price.

Explanation: 10% discount off the retail price means this. If there was a number like how much the retail price is we can solve this with a problem and a solid answer.

Answer:

Step-by-step explanation:

The answer is 14256

What's the square root of 92

Answers

Answer:

9.79795897113

8464

so you do 92x92 90 more times then you get the answer

1. Chuck gets a 7% raise this year. If Chuck's salary is equal to t, write the equation to determine Chuck's new salary.

Answers

hi.  

hi.  if  T is it'salary , then  1.07T is his new salary.

Does this graph represent a function? Why or why not?

O A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
O C. Yes, because it passes the horizontal line test.
O D. Yes, because it passes the vertical line test.

Answers

D, it’s a function because the Y and X values have its own numbers , and vertical are functions . Horizontal is not a function

Simplify.

62+32



9

18

45

81

Answers

Answer:

I believe it would be D. 81

Answer:

The correct answer is- D. 45

Step-by-step explanation:

I took the test on k12 and it said this was the correct, also pls rate and thank!:)

Hope this helped!!:)

At nine months of age, a baby elephant can weigh 700 pounds. If this is 4 times the baby elephants birth weight, how many pounds did the elephant weight at birth?

Answers

Answer:

At birth, the baby elephant weighed 175 lbs.

Step-by-step explanation:

Answer:175 pounds

Step-by-step explanation:

Divide 700 by 4

Simplify the following exponential expression. Show your work step by step and justify your steps using the Properties of Exponents you’ve learned in previous units. Use your class notes for the names of the Properties of Exponents.

Answers

Answer:

14

Step-by-step explanation:

Which of the following is a rational number? A.102 B.144 C.21 D.29

Answers

Answer:

I'm pretty sure they're all rational numbers since they're all whole numbers.

Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob? $ per month

Answers

Answer:

Can you tell me the concept?

Step-by-step explanation:

Answer: $2

Step-by-step explanation:

If Jacob makes $174 every 3 months that is $58 per month

and Victoria makes $360 every 6 months that is $60 per month

A runner can travel 100 meters in 20 seconds. At that rate, how far does the runner go in 1 minute?

Answers

Answer:

he can run 5 meters in 1 min

Step-by-step explanation:

S = d/t

S=100m/20s

S=5m/s

The fact that lower-income families will spend a higher percentage of their income on taxable items than higher-income families means that sales tax is what type of tax?

Answers

Answer:

Regressive tax

Answer:

Regressive TAX

Step-by-step explanation:

What is the prime fractorization of 630

Answers

Answer:

[tex]2\cdot5\cdot3^{2}\cdot7[/tex]

Step-by-step explanation:

630 tree:

2x315

5x63

3x21

3x7

So its 2x5x3x3x7

Or, 2x5x3^2 x 7.

Hope this helps :D

Greatest common factor for 3,27, and 33

Answers

Answer:

it's 3.

Step-by-step explanation:

Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.

48 girls, 41 boys, and 5 teachers sat in the gym. Write the ratio of girls to boys in three ways.
A: 48 to 41, 41:5, 5/48
B: 41 to 48, 41:48, 41/48
C: 48 to 41, 48:41, 41/48
D: 48 to 41, 48:41, 48/41

Answers

Answer:

D

Step-by-step explanation:

The answer is D because the question is asking for girls to boys. So anything that has 5 in it is wrong because it isn't asking for teachers, which eliminates A. So since it is asking girls to boys the number order has to be 48 then 41 because it is asking for girls first then to boys. So that makes B wrong. When it comes to the fraction part of the ratio the first number it is asking for (which is girls) always goes on top. So that eliminates C which leaves only answer to be D.

Answer:

D

Step-by-step explanation:

The answer is D because the question is asking for girls to boys. So anything that has 5 in it is wrong because it isn't asking for teachers, which eliminates A. So since it is asking girls to boys the number order has to be 48 then 41 because it is asking for girls first then to boys. So that makes B wrong. When it comes to the fraction part of the ratio the first number it is asking for (which is girls) always goes on top. So that eliminates C which leaves only answer to be D.

Step-by-step explanation:

Determine the function type. If it is a polynomial, state the degree of the polynomial and whether it is an even degree polynomial or an odd degree polynomial.

f(x)=[tex]\sqrt{x}[/tex]-3

Answers

Answer:

parent function: f(x)=√ x

It's not a polynomial

Step-by-step explanation:

Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2,1).
a= y + 3 = -5(x - 2)

b= y - 2 = -5(X+3)

c= y+3=-1/5(x-2)

d= y-2=1/5(x+3)

Answers

this algebra 1 solving inequalities right?

to
Must use these numbers 1 time
equal 112
50,25,8,4,7,5
Need to find out how these numbers equal 112. Must use each number, can only use them once, but can add, subtract, multiply, or divide

Answers

Answer:

50 + 25 + (8*5) - (7 + 4)

Step-by-step explanation:

50 + 25 + (8*5) - 7 + 4 = 50 + 25 + 40 -  7  + 4

                                      = 115 - 7 + 4

                                      = 108 + 4

                                     = 112

Which statement about 2 +3x is true?

Answers

Answer:

B is the correct answer

Step-by-step explanation:

I dont know what are the statements add more detail to the question then I will answer

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