A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T with respect to time t is proportional to the difference between the egg’s temperature in degrees Fahrenheit ( °F) and the room temperature of 75°F. Which of the following is a differential equation that describes this relationship, where k is a constant?

Answers

Answer 1

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

Answer 2

The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.

In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

Learn more about Newton's law of cooling:https://brainly.com/question/15574522


Related Questions

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer: im in 100% sure but i think its yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I used photomath

What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.

Answers

Answer:

wait what

Step-by-step explanation:


please i will mark you brill help me

Answers

Answer:

2n + 20

Step-by-step explanation:

2n + 20

2 times anything doubles it, then you are adding 20. An expression doesn’t have an equal sign (equations do)

Find the exact value of the product cos82.5cos52.5

Answers

927492749271838383819378371746826482

Fill in the blanks to make the equation true. 9 4× 1= 9 4× = 45 20

Answers

Answer:

9/4× 1= 9/4× = 45/20

Step-by-step explanation:

which shape is not a trapezoid

Answers

Answer:

trapezium

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.

Step-by-step explanation:

What is the difference of
5
6

5
12
? Use the fraction strip to help.

One whole fraction strip is equal to six one-sixth fraction strips. It is also equal to twelve one-twelfth fraction strips.

A.
0

B.
5
12
C.
7
12
D.
5
6

Answers

The difference of 5/6 - 5/12 is 5/12..

What is a fraction?

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

To learn more on fractions, we kindly invite to check this verified question: brainly.com/question/1301963

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A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?

Answers

900-24 = 876 - 1/8 = 875 7/8

Let me know if you have questions

A system of equations is shown below,

y = 5x + 2
10x - 2y = 12

what is the solution to the system of equations?

Answers

Answer: No solution
Step by step:
10x-2(5x+2)=12
10x-10x-4=12
0x=16
No solution

Pleaseee helpp don’t understand!!

Answers

Answer:

Step-by-step explanation: so

First you should have paired attention and I don’t understand either sorry!

Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal
servings. Kiki had one serving of dinner and one serving of dessert.

Which equation could be used to solve for n, the number of calories that kiki
ate?

A. n = 992 x 4 + 846 x 6
B. n = 1,838 / 10
C. n = 992 / 4 + 846 / 6
D. n = 992 / 4 - 846 / 6

Answers

Answer: C

Step-by-step explanation:

992/4=165

846/6=141

165+141=306

(992/4) + (846/6) = 306 total calories consumed

The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?

46254 58160 09695 38399 40400 32662

462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045

Answers

Answer:

B.

Step-by-step explanation:

edge2020

Write an equation of an ellipse in standard form with the center at the origin and with the given (1 point)
characteristics.
vertex at (-3,0) and co-vertex at (0, 2)

Answers

Answer: x^2/9 + y^2/4 = 1

Step-by-step explanation:

Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]

Step-by-step explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].

[tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2} } =1[/tex]  

[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]

[tex]\frac{x^{2} }{9 } +\frac{y^{2} }{4} } =1[/tex]

What is the y intercept

Answers

Answer:

-2

Step-by-step explanation:

line crosses the y- coordinate (0,-2)

actice Temperature Conversion Worksheet

Name: ________________________ Period: ______

6th Grade Comprehensive Science II

Directions: Use the following chart to answer the questions below

C = (F - 32) * (5/9)

F = (9/5) * C + 32

Use the space to show your work:

1. 25°C = _____________°F

2. 97°C = _____________°F

3. 2°C = _____________°F

4. -40°C = _____________°F

5. 25°F = _____________°C

6. 97°F = _____________°C

7. 2°F = _____________°C

8. -40°F = _____________°C

9. 85°C = _____________°F

10. 953°C = _____________°F


pls help im giving 73 points

Answers

1.) 77
2.) 206.6
3.) 35.6
4.) -40
5.) -3.8
6.) 36.1
7.) -16.6
8.) -40
9.) 185
10.) 1747.4

If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?

Answers

Answer:

It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.

Step-by-step explanation:

Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)

Answers

Answer:

Infinitely many solution

Step-by-step explanation:

Simplify

2x - 4 = 2x - 4

Lets see:

if we put 1:

2 - 4 = 2 - 4

-2 = -2

Now lets try another number : 2

4 - 4 = 4 - 4

0 = 0

So we can say that there is more than one solution

this cancels out single solution and no solution

There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).

The algebraic expression is an expression that is composed of variables and their arithmetic operations.

From the given parameters

2x - 4 = 2(x - 2)

Open brackets

2x - 4 = 2x - 4

Since we are having the same algebraic expression on both sides;

Then, we won't be able to get exactly one solution but an infinite number of solutions.

This is because any number that is being substituted for the value of x will always give a different solution.

Learn more about algebraic expression here:

https://brainly.com/question/4344214

2 to the 2015 power plss helpp

Answers

Answer:

2015 * 2015= 4,060,225

Therefore, 2015×2015=4060225.

Answer: 4060225

Someone pls help me with question 2

Answers

Answer:

8

Step-by-step explanation:

13 x 1 2/3 = 7.8

7.8 rounds up to 8

Hope this helps :)

I need help please?


Answers

Answer:

B

Step-by-step explanation:

the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)

A slope field produces...

A. the graph of the general solution to the differential equation

B. the graph of the derivatives of the differential equation

Please explain. I am so confused on this.

Answers

It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

Match the tangent and sine angles to their expressions.

Answers

Answer:

1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]

2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]

3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]

Step-by-step explanation:

1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]

sin(-15°)  = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)

sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2

1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4

sin(-15°)  = ((√2) - (√6))/4

[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]

2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]

tan(15°)  = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))

(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))

((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))

(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6

(2 - √3)

[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]

3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]

tan(75°)  = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))

(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)

((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))

(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6

(12 + 6·√3)/6 = 2 + √3

[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]

What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4​

Answers

Answer:

B I'm pretty sure.

Step-by-step explanation:

Please help me find the area

Answers

Step-by-step explanation:

1/2×28×(21+16)

calculate then u get the answer

Answer: 213

Step-by-step explanation: U are beautiful in the picture u showed

What is the solution set for (2x-7)^2=25

Answers

The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

The solution set for a quadratic equation is the roots of the quadratic equation.

Given, (2x - 7)² = 25.

2x - 7 = ± 5.

2x = ± 5 + 7.

x = (± 5 + 7)/2.

x = 12/2 Or 2/2.

x = 6 or 1.

learn more about quadratic equations here :

https://brainly.com/question/11589380

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plz is this correct
?

Answers

Answer:

It's 3 and 177.

Step-by-step explanation:

Let the angle be x°. Then its supplementary is 59x°.

We know,

x+ 59x=180

or, x = 3°

and another angle, 59x°= 177°

find the ratio of 15minutes and 1hour​

Answers

Answer:

4 : 1

Step-by-step explanation:

1 hour : 15 minutes

However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.  

1 hour = 60 minutes

60 : 15

The ratio can be simplified.

12 : 3  ( 60 and 15 are multiples of 5 )

The ratio can again be simplified further.

 4 : 1   ( 12 and 3 are multiples of 2 )

This is the whole picture can someone help??

Answers

Step-by-step explanation:

I can't see good the picture

6. the quotient of kand 14

Answers

Answer:

[tex]Q = \frac{k}{14}[/tex]

Step-by-step explanation:

Given

k and 14

Required

Determine the quotient

Quotient implies that we divide k by 14.

So, the quotient (Q) of k and 14 is:

[tex]Q = \frac{k}{14}[/tex]

2) Christmas is on its way, so the price of a box of Thornton's chocolates has been increased
by 15%!! A box of Thornton's Continental now costs £17.25. How much did it cost
originally?

Answers

15% as a decimal is 0.15
Our regular cost of chocolates is 1.0
New cost is 1.0 + 0.15 = 1.15
1.15 x 17.25 = 19.8375
In the states we round to the hundredth for cost, so it would be £19.84

Alternate method: calculate 0.15 of 17.25 and add that to 17.25
0.15 x 17.25 = 2.5875
17.25 + 2.5875 = 19.8375
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