Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation represents the
temperature, T, of the coffee in the cup after x minutes.
T = 75 + 120e-0.051
After how many minutes will the temperature of the coffee be approximately 141°F?

Answers

Answer 1

Answer:

12 minutes

Step-by-step explanation:

First substitute 141°F for T in the given equation.

Then isolate the exponential term.

Now rewrite the equation as a natural log, and solve for x.

Answer 2

After 12 minutes will the temperature of the coffee be approximately 141°F.

What is temperature?

Temperature is the degree of hotness or coldness expressed in terms of any of numerous scales, such as Fahrenheit and Celsius. Temperature suggests the route wherein heat strength will spontaneously flow—i.e., from a warmer body (one at a better temperature) to a less warm frame (one at a lower temperature).

diploma measures of temperature are typically expressed with the ° temperature scale: The sample became heated to 80 °C.

Substitute the 141°F in the equation

     ⇒T = 75 + 120e-0.051

     ⇒ 141 = 75 + 120x - 0.051

     ⇒ 120x = 141 -75 + 0.051

     ⇒120x = 66.051

   

Learn more about temperature here:-https://brainly.com/question/24746268

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Answer:

3x(3x-5)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanaBtion:

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write the equation of the line in fully simplified slope-intercept form??

Answers

Answer:

y=-2/3x+3

Step-by-step explanation:

(m)slope :rise over run

(b)y-intercept :where the line crosses the y axis

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In the triangle below, what is the cosine of 60°?

Answers

D.

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The answer is m≥ 1/2

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Step-by-step explanation:

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A

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Step-by-step explanation:

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Answers

Answer:

No x doesn't equal 30 because 4(30)+8+68=196 instead of 180. It should be x=26

Step-by-step explanation:

Hope this Helped

The point slope form of the equaton of the line that passes through (-9, -2) and (1, 3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?

Answers

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

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Which graph can be used to find the solution to the system of equations below?
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Answers

Answer:

x = 0, y = -4

Now plug it in:

y = mx + b

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So the y intercept is -4

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Answers

Answer:

see explanation

Step-by-step explanation:

(a)

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(b)

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4b+5=1+5b
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Answers

Answer:

b = 4

Step-by-step explanation:

4b+5=1+5b

1️⃣Rearrange terms

4b+5=1+5b

4b+5=5b+1

2️⃣Subtract 5 from both sides of the equation

4b+5=5b+1

4b+5-5=5b+1-5

3️⃣Simplify

4b=5b-4

4️⃣Subtract 5b from both sides of the equation

4b=5b-4

4b-5b=5b-4-5b

5️⃣Simplify

-b=-4

6️⃣Divide both sides of the equation by the same term

-b=-4 subtract -1

7️⃣Simplify

b=4

Answer: b=4

Done ✔

Answer - b=4

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if x+3/3=y+2/2 then x/3 =

Answers

(x+3)/3=(y+2)2
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Answer:

x/3=y/2

Step-by-step explanation:

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Answers

28.57% is the answer
Answer:

2/7 into percentage would be 28.571429%

Note to you:

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What does 4.57x0.08

Answers

Answer:

0.3656 :)

Step-by-step explanation:

Answer:

0.3656

Step-by-step explanation:

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If pears cost $0.65, how many pears could you buy if you have $5.20 to spend? Write the equation you would use to answer the question. also, how was you alls day?

Answers

Answer:

0.65x = 5.20, 8 pears

Step-by-step explanation:

We put x beside 0.65 because that is the unknown number of pears we can buy with $5.20. To find out how many pears you could buy, we just solve for x. So let's do it!

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Answer:

254.3

Step-by-step explanation:

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Answer:

y=2x

Step-by-step explanation:

Answer:

y=2x

is the answer answer

B
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21
42°
86

Answers

Try 52?
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Corresponding angles

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Answers

Answer:

I agree because both equations have the same solution.

Answer:

yes

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because 5 + 2 is 7 2+5 is also 7

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Answers

Answer:

27

Step-by-step explanation:

[tex] \dfrac{3^{15}}{3^{12}} = 3^{15-12} = 3^3 = 27 [/tex]

Answer: It is 27 times larger.

Answer:

3 to the 15 power is 14,348,907. 3 to the 12 power is 531,441 and 531,441 x 27 is 14348907 the same as 3 to the 15 power.

Step-by-step explanation: soooooo just control C control V the answer.

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Answers

Answer:

Considers each unit is equal to one my answers are bellow.

Step-by-step explanation:

D: -4,3

E: 2, 0

F: -2 ,-7

G: -6 , -5

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The first one is done and the options for number four are:
w(2w+12)=160
2w^2+12w-260=0
2w^2+12w=260
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Answers

Answer:

Step-by-step explanation:

Part A

w² + 6w + c = 130 + c

w² + 2(3w) + c = 130 + c

To make left side of the equation a perfect square we will replace c by (3)².

w² + 2(3w) + 3² = 130 + c

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w² + 2(3w) + 9 = 130 + 9

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Part B

From part A,

(w + 3)² = 139

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In the orthonormal system (O; i⃗,j⃗) below, consider point A(3, −1), vector v⃗(2,1), and
straight line (d).
Let (d’) be the line of equation y = −2x + 5.
1. Show that A belongs to (d’).
2. Draw the straight line (d’).
3. Write a Cartesian equation of line (d).
4. What is the relative position of the lines (d)
and (d’)? Justify your answer.
5. Write the reduced equation of the straight
line(D) defined by (A, ⃗v⃗).
6. Deduce that the two lines (D) and (d) are
perpendicular.
7. Determine the coordinates of the point of
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Answers

Answer:

Step-by-step explanation:

​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

Answers

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

     Right side up = 60         Upside down = 53             Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

 

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

[tex]Right = 60[/tex]

[tex]Upside\ down = 53[/tex]

[tex]Side = 37[/tex]

Required

First, we calculate the probability of landing on side

[tex]P(Side) = \frac{n(Side)}{Total}[/tex]

[tex]P(Side) = \frac{37}{150}[/tex]

[tex]P(Side) = 0.247[/tex]

Next, we calculate the expected value; E(x) using:

[tex]E(x) = n * P(x)[/tex]

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

[tex]E(x) = 100 * 0.247[/tex]

[tex]E(x) = 24.7[/tex]

[tex]E(x) = 25[/tex] --- approximated

Hence, it is expected that it will land on its side 25 times

Theo budgets $154 for karate classes. He buys a karate uniform, called a dogi, for $12. If it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that Theo can take?

Answers

Answer- 1234

Step-by-step explanation:

sorry

Answer:

An inequality that represents the number of classes. C, that Theo can take is: 8c+12<=154.

Step-by-step explanation:

What is Your Budget?
Task 2
Directions:
You are offered a job with a starting annual salary of $50,000 and two options for
determining your annual raise:
Option 1: An annual raise of $3,000 per year.
Option 2: A 5% raise each year.

Answers

Option 1 I think i’m not positive though

The graph below shows the #tal distance, in miles, traveled by a towboat over time,
in hours.
AVERAGE SPEED
OF TOWBOAT
21.00
Total Distance (miles)
15.75
10.50
5.25
0 1 2 3 4
Time (hours)
Which statement best describes the meaning of the coordinates of point Fon
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It shows the unit rate of the graph in hours per mile

Answers

Answer:

it shows the unit rate of the graph in miles per hour.

Step-by-step explanation:

Answer:

It shows the unit rate of the graph in miles per hour

Step-by-step explanation:

...

add or subtract to simplify IHML

Answers

I added it so:

6x^2+8x

Answer:

A) 6x^2 + 8x

Step-by-step explanation:

2x^2 + 4x^2 = 6x^2

7x + x = 8x

6x^2 + 8x

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

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