A cup of coffee at 95 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 2 degrees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;

dT/dt=-k(T-Tₐ)

So

dT/dt = 2 degrees Celsius per minute

T = 70 degrees Celsius

Ta = 25 degrees Celsius

2 = -k(70 - 25)

-k = 2/(70 - 25)

k = - 0.044

Hence we can write;

dT/dt=-(- 0.044)(95-25)

dT/dt= 3 degrees Celsius per minute


Related Questions

what is the order from least to greatest(38%,3/8,0.4,1/3,41%,0.33)

Answers

.33, 1/3, 3/8, 38%, .4, 41% is order from least to greatest

Given APQR and ASTU, what is mZQ PLEASE HELP

Answers

Answer:

∠Q = 64°

Step-by-step explanation:

The triangles are similar because 4/14 = 8/28 = 6/21, all = 2/7

∠R = 46° was given

∠P = 70° because it corresponds to ∠S

since the sum of all the interior angles of a triangle = 180° then:

∠Q = 180° - 46° - 70° = 64°

HELLPP DUE BY 1pm PACIFIC HELLPP ASAP

Answers

Answer:644.355

i tried ok

Step-by-step explanation:

I got you!

Since you dont know how many individual songs he wrote, we will represent that as x. Now, to find the total amount spent on buying "x" individual songs, you would have to multiply that by the 1.29$ it costs. Therefore, with the inclusion of the 9.99$ from the album, your equation is:

50 = 1.29x + 9.99

Pls help it’s about angles

Answers

C. 24 and 90
90-66=24
Sorry if it’s wrong

Surface area and volume

Answers

triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144

cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210

After a birthday only 1/4 cake ramains what fraction is equivalent 1/4

Answers

Answer:

2/8, 3/12, 4/24, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, etc.

Step-by-step explanation:

In the finals of a singing contest at Greenvale Middle School, 300 students vote on which
contestant they liked best. The circle graph shows the results of the vote. How many
more votes did Gamba get than Ahmed?

Answers

Answer:

Gamba obtained 75 more votes than Ahmed.

Step-by-step explanation:

Given that in the finals of a singing contest at Greenvale Middle School, 300 students voted on which contestant they liked best, and Gamba got 35% of the votes while Ahmed got 10%, to determine how many more votes did Gamba get than Ahmed the following calculation should be performed:

(300 x 0.35) - (300 x 0.10) = X

105 - 30 = X

75 = X

Thus, Gamba obtained 75 more votes than Ahmed.

HELLPPPPPPPPPPPPPPppppppppppp

Answers

Answer:

find the percentage equal to 70/80

Please help me I always sleep late doing homework and I do not want to today begging ya. You don’t have to do 1,2,3

Answers

Answer:  5, 18, 20, 25, 27, 35, 38, 40, 48, 60, 90

Step-by-step explanation: Count lol

Find the ratio a : b , if it is given that ...
5a +3b =6b

Answers

Answer:

3:5

Step-by-step explanation:

5a + 3b = 6b

5a=6b-3b

5a=3b

a/b= 3/5

a:b=3:5

Anyone can help with this

Answers

Answer:

C

Step-by-step explanation:

Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.

Answer:

C

Step-by-step explanation:

i used photomath and C was not the linear one!

if the price of a sweater is marked down from $80 to $68, what is the percent markdown?

Answers

Answer:

35%

Step-by-step explanation:

$28 less.

28 is 35% of 80. (28/80 = 0.35 which is 35%)

the percent markdown is 35%

helppppppppppppppppppppp

Answers

Answer:

58 ft squared.

Step-by-step explanation:

The formula for area of a trapezoid is (h/2)(b1 + b2). Let's plug in the values:

(4/2) * (12+17) = 2 * 29 = 58ft^2.

Option 2! Hope this helps!!

Are Brainy tutors still a thing if not I’m gonna fail algebra

Answers

Answer:

I guess they are

Step-by-step explanation:

Answer:

yes they are but i cant get a hold of them srry can i have brainliest

Step-by-step explanation:


Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}

Answers

Answer:

option A is your answer okk

.
* 6 cupcakes for $14
* 12 cupcakes for $30
* 24 cupcakes for $54
The unit price for the 6 cupcakes is
The unit price for the 12 cupcakes is
The unit price for the 24 cupcakes is
The lowest unit price is for

Answers

Answer:

≈$2.33$2.50$2.2524 cupcakes/$54

Step-by-step explanation:

Answer:

$2.33

$2.50

$2.25

24 cupcakes/$54

Step-by-step explanation:

Can someone help me!!!!
Also dont put the answers: 201.06 or 131.1 bc I've tried those. :)

Answers

Answer:

870.4 maybe???

Step-by-step explanation:

Answer:

16cm=200.96

12cm=113.04

PLEASE HELP ME!!

Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ.

n = 290, p = 1/4

Answers

So what I think the answer is n=290 p=1/4

Which expression is equivalent to -6(3x-3)?
O 2x+4
2
-3X-6
O 3 6
-18.X+ 12
- 15x+4

Answers

your answer is right
-18x+4 is the correct answer

In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past data it was noted that 88% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a. What percentage of students is expected to pass the course? b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays? (Hint: the above problem is based on conditional probability concept and the Bayes theorem)

Answers

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that [tex]P(A) = 0.676[/tex]

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]

0.9112 = 91.12% probability that he/she attended classes on Fridays

3^x=2 solve for x without using calculating utility?

Answers

x= 3^x=2

x= log 3^2

x= log2/log3

x= 0.630930


work out 4/5 - 1/5
work out 9/11 +5/11
work out 3/4 + 1/8

Answers

Answer:

4/5-1/5=6.0

9/11+5/11=1.27

3/4+1/8=0.875

If an arithmetic progression satisfies U4=7 , U8=15 .Find U10​

Answers

Answer:

U10 = 19

Step-by-step explanation:

The sequence is [tex]Ux=(x*2)-1[/tex]

x is the coefficient to U.

So, [tex]U10=(10*2)-1[/tex]

Which means [tex]U10=20-1[/tex]

Which means [tex]U10=19[/tex]

And there is your answer.

Hope this helps. Have a nice day.

Jackie says that 200 ÷ 18 = 25. Is Jackie correct? Explain.

Answers

Answer:

Wrong

Step-by-step explanation:

200%18=11.11111111

Answer: Jackie is incorrect

Step-by-step explanation:

Because 200/18 = 11.1111111111

Which mode of transportation did you choose? Why?

Answers

Answer:

land

Step-by-step explanation:

because,bus are more comfortable and easier other transportation are dangerous than land transportation ❤️

hope i helped u

Given: binom(119, 0.57)
What is the Expected Value?

Answers

Answer:

The expected value, or mean, of a binomial distribution, is calculated by multiplying the number of trials by the probability of successes. For example, the expected value of the number of heads in 100 trials of head and tales is 50, or (100 * 0.5)

A relation R on a set A is defined to be irreflexive if, and only if, for every x ∈ A, x R x; asymmetric if, and only if, for every x, y ∈ A if x R y then y R x; intransitive if, and only if, for every x, y, z ∈ A, if x R y and y R z then x R z. Let A = {0, 1, 2, 3}, and define a relation R2 on A as follows. R2 = (0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) Is R2 irreflexive, asymmetric, intransitive, or none of these? (Select all that apply.) R2 is irreflexive. R2 is asymmetric. R2 is intransitive. R2 is neither irreflexive, asymmetric, nor intransitive.

Answers

Answer:

OMG IM ON THE SAME QUESTION

Step-by-step explanation:

What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD

HELPPPPPPP

Answers

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !

What is the value of x in the figure below?

Answers

3x+8=35

3x=35-8

3x=27

x=27/3

x=9

A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?​

Answers

Answer:

1 1/3

Step-by-step explanation:

(x+12)/2 = 4-x

Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x

Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8

Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4

Step 4, divide by 3. x = 1 1/3

Answer:

the number is 20

Step-by-step explanation:

Equation: let x be the missing number

x + 12 ÷ 2 = x - 4

first step: multiply 2 on both sides to get rid of the division

x + 12 ÷ 2 ×  2 = x - 4 × 2

x + 12 = 2x - 8  

second step: add 8 on both sides:

x + 12 + 8 = 2x - 8 + 8

x + 20 = 2x

third step: subtract x on both sides:

x - x + 20 = 2x - x

20 = x

to check: substitute 20 for x

x + 12 ÷ 2 = x - 4

20 + 12 ÷ 2 = 20 - 4

32 ÷ 2 = 16

16 = 16

Other Questions
Find the area of 3/4 of the circle (radius = 6) Help - Forces & Motion OBEJCTS ACCELERATION YOU DONt have to give an explanation just the answer Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation. Vaughn Manufacturing records purchases at net amounts. On May 5 Vaughn purchased merchandise on account, $79000, terms 2/10, n/30. Vaughn returned $6700 of the May 5 purchase and received credit on account. At May 31 the balance had not been paid. The amount to be recorded as a purchase return is What are the decomposable and indecomposable solid wastes? He (is, are) one of the best players on the team In the first quadrant, you start at (3,5)and move 3 units right and 2 units downWhat point will you end up on? Help ill reward brainest Please help if you can I dont get these :( 2.3.9 Practice Written Assignment May I Help You? "Sarah!" Caillou was so happy to see Sarah!Sarah: Caillou Nihao!Caillou: w-what? Okay so I had a science test yesterday. it was important and determines what I need to learn before the STAAR test. well my teachers goal for me was to make a 55 since on the last one I made a 45.. well this time I made a 65. I was so happy bc not only is this above the goal my teacher set but I also improved a lot considering we have the STAAR test in 5 weeks. 65 is almost passing if my test I had yesterday was a STAAR test. well I told my dad and I was so happy and proud of my improvement but all he says is "not good enough" is this rude of him? ANSWER ASAP FOR BRAINIEST AND 100 POINT ASAPFind the value of x in the triangle. This is a similar triangle please find the missing length. (?) The density of gold is 19.3g/cm.what is the value in kilograms per cubic meter? Power directly stated in the constitution and given to federal government are_______A. Concurrent or dualB. Reversed or guardedC. Expressed or enumerated 1. Quin es la narradora? De dnde es la herencia de esta narrador? Cmo sabes t? 2. | A qu historia se refiere la narradora cuando dice "mi costa perdida ni mi lengua ancestral? 3. Cmo le ha afectado su historia (su ambiente histrico) a la narradora? Cmo sabes? 4. Explica el mensaje central de este texto. Usa ejemplos directos del texto para explicar el mensaje central. 5. Cmo se conecta El miedo" con otros textos/temas que hemos estudiado este ao? Explica la conexin con el tema de la expedicin #2: cmo nos adaptamos? 6. Cmo te sientes despus de leer y analizar este cuento? Cul es tu opinin sobre su mensaje? A bat with a mass of 0.35 kg travels at a rate of 15 m/s. What is the animal's momentum? HURRY PLEASEOne of the advantages of using a maglev system is that it (increases, decreases or does not affect) friction by utilizing non-contact forces to move and stabilize it. Chemical equation=CH4 + O2 = CO2 + H2O.i. identify the products of the chemical reaction.ii. explain why these are the products based on trends in the periodic table (the number ofvalence electrons, electronegativity, etc.).iii. identify the types of bonds in the reactants and products.iv. identify the number of each type of bond in the reactants and products.v. identify the type of reaction