Mathematics High School

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

#SPJ2

Related Questions

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
the graph?
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:

...

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!

0.65x = 5.20

x = 8

8 pears

Hope that helps, let me know if you need more help or have questions! :)

PLEASE HELP ME ANSWER THIS PLEASE PLEASE PLEASE

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The turning point is the vertex of the graph

The coordinates are (2, - 4 )

(b)

The zeros are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at

x = - 1, x = 5 ← zeros

(- 1, 0 ), (5, 0 ) in coordinate form

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:

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
w^2+6w-130=0

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

[By formula → a² + 2ab + b² = (a + b)²]

w² + 2(3w) + 9 = 130 + 9

Therefore, c = 9 will be the answer.

Part B

From part A,

(w + 3)² = 139

Option (2) and Option (6) are the correct options.

Part C

w + 3 = √139

w = 11.79 - 3

w = 8.79

w ≈ 8.8 inches

4b+5=1+5b
Anyone know it ??

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

Hope this help .

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

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

slope intercept for y=mx+b

Please can someone solve thiss !!! T~T
I have no idea what its saying and Im AlMosT doNE :(
Please help , it would mean so much

Answers

Answer:

y=2x

Step-by-step explanation:

Answer:

y=2x

is the answer answer

B
Find the measure of 21.
21
42°
86

Answers

Try 52?
180-42-86=52
Corresponding angles

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)

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

y=1/2x-1/2+6/2

y=1/2x+5/2

hope this helped!!

​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

HELP ME PLZZZZZZZZZZZZZZZZZ

Answers

Answer:

254.3

Step-by-step explanation:

The formula for the area of a circle is A = pi(r^2).

Shown in the picture is the diameter of the circle. To find the radius, or R, simply divide 18 by 2. The definition for a radius is basically half of the diameter.

Now...

3.14(9^2) = 254.34

Round to the nearest tenth: 254.3

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
intersection I of the two lines (d) and (D).

Answers

Answer:

Step-by-step explanation:

I need help on this question ​

Answers

Answer:

11

Step-by-step explanation:

h(-4)= -13

h(-2)=8

-13+3(8)=11

what is 2/7 into a percent

Answers

28.57% is the answer
Answer:

2/7 into percentage would be 28.571429%

Note to you:

I hope this helped and have a good one!! Correct me if I am wrong. Did some outside research.

Please help !!
Select the correct answer.
Factor the expression.
(49x^2 - 16) | (Choices in the picture.)​

Answers

Answer:

B.

Step-by-step explanaBtion:

The answer would be B

(7x+4)(7x-4)

you can tell because when you expand it e.g.

49x^2 +28x - 28x -16

simplify

49x^2 - 16

equals the expression

Answer:

The answer would be B: (7x+4)(7x-4)

CAN ANYONE HELP ME WITH THIS

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

Correct me if I'm wrong

Which graph can be used to find the solution to the system of equations below?
2x + y = -4
-3y = 2x + 12

Answers

Answer:

x = 0, y = -4

Now plug it in:

y = mx + b

-4 = b

So the y intercept is -4

You can also graph the equation.

PLEASR HELP THIS IS THE LAST QUESTION AND ITS DUR IN 4 MINUTES

Answers

Answer:

3x(3x-5)

Step-by-step explanation:

I can do this in my head but I hope it is right but if not I'm sorry

Answer:

- 3x ( x² - 4x + 5 )

Step-by-step explanation:

- 3x ( x² - 4x + 5 )

what does m equal please help me i give brainliest plss.

Answers

The answer is m≥ 1/2

Answer: m[tex]>=[/tex] 1/2

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

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

Answers

(x+3)/3=(y+2)2
X/3+1 = (Y +2)/2
x/3=(y+2)/2-1
=(y+2-2)/2
=y/2

Answer:

x/3=y/2

Step-by-step explanation:

Multiply both sides of the equation by the Common Denominator 6

2x + 6 = 3y + 6

2x = 3 y

x/3 = y/2

GEOMETRY. Is this correct? Why or why not

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

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

Answers

D.

Hope this helped;).

3 to the power of 15 is how many times larger than 3 to the power of 12

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.

Please help im desperate :)​

Answers

Answer:

-2

Step-by-step explanation:

You can see that the line is passing through the negative point, which is -2.

I hope this helped!

~natasha

Andre says that 5 + 2 and 2 + 5 are equivalent.
Do you agree with Andre? Explain your reasoning.

Answers

Answer:

I agree because both equations have the same solution.

Answer:

yes

Step-by-step explanation:

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

Please help me!! Thanks

Answers

Answer:

A

Step-by-step explanation:

What does 4.57x0.08

Answers

Answer:

0.3656 :)

Step-by-step explanation:

Answer:

0.3656

Step-by-step explanation:

You do 4.57 X 0.08 and get 0.3656

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