Patrick made tortilla soup in his slow cooker and has turned the heat off to allow the soup to cool slightly before consuming. The temperature, in degrees Fahrenheit, of the soup x minutes after the heat was turned off is represented by the function below.

T(x) = 15 + 155e-0.02x

What is the approximate average rate of change over the interval [10, 30]?

A.
-6.05 degrees per minute
B.
-1.05 degrees per minute
C.
-41.84 degrees per minute
D.
-2.09 degrees per minute

Answers

Answer 1

9514 1404 393

Answer:

  D.  -2.09 degrees per minute

Step-by-step explanation:

The average rate of change is the change in temperature divided by the change in time:

  m = (T(30) -T(10))/(30 -10)

  = ((15 +155 e^(-30·0.02)) -(15 +155 e^(-10·0.02))/20

  = (155/20)(e^-0.6 -e^-0.2) ≈ -2.09 . . . degrees per minute


Related Questions

Solve the equation (5x3)(5x4)=55

pretty please i need it asap

Answers

Answer:

5x3 is 15 and 5x4 is 20. 15x 20 is 300…. Soo..

Step-by-step explanation:

A rectangle has an area of 140m2.
One of the sides is 10m in length.
Work out the perimeter of the rectangle.

Answers

Answer:

40 m

Step by step explanation:

140/10 = 14m
10 + 10 + 14 + 14 = 48m

The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?

Answers

Answer:

cost of admission for each child was $4.00, and each adult was $25.33

Step-by-step explanation:

When solving questions like these , I like to break down the problem so I understand it better.

Let x ---> cost of the admission for each child

Y ---------> cost of the admission for each adult

9x+3y = 112 ---> equation A

8x + 3y = 108 ---> equation B

Subtract B from A

9x+3y=112

-8x+3y = 108

x = 112-108

x = 4

Find value of y by substituting value of x into equation

9(4)+3y=112

Solve for y

36+3y = 112

3y = 112=36

3y = 76

y = 25.33

what’s the slope for this

Answers

Answer:

-2

Step-by-step explanation:

andre is solving the inequality 14x+3 is less than or equal to 8x+3.he first solves a related equation

14x+3=8x+3 this seems strange to Andre. He thinks he probably
14x=8x made a mistake.What was his mistake?
8=14

Answers

Answer:

14x+3=8x+3

14x+3 -3 = 8x+3 -3

Cancels out the 3

14x = 8x

14x - 8x = 8x -8x

Cancels out the 8x

14x = 0

x = 0

Step-by-step explanation:

Andre should have collected the like terms in order to have all the variables x on one side before taking the difference.

Inequality expression

Given the inequality expression solved by andre expressed as:

14x + 3 ≤ 8x + 3

Simplify to have:

14x - 8x ≤ 3-3

6x ≤ 0

x ≤ 0

Hence andre should have collected the like terms in order to have all the variables x on one side before taking the difference.

Learn more on inequality here: https://brainly.com/question/24372553

The figure below shows a circle inside of a square.
If the radius of the circle is 8 cm, find the area of
the shaded region

Answers

Answer:

Step-by-step explanation:

Shaded region is the circle.

r = 8 cm

Area of circle = πr² = 3.14 * 8 * 8 = 200.96 cm²

One batch of pink paint uses `2` cups of red paint and `7` cups of white paint. Mai made a large amount of the same color pink paint using `14` cups of red paint. .

Answers

It’s a magnification so it’s 2 pots of red paint and 7 pots of white paint we ask you to do the same with 14 pots of red paint you notice that it’s 7 times bigger than 2 so you have to put 7 times more white paint and the answer is 21

Solve for u
24 =y6
u-

Answers

Answer:

4

Step-by-step explanation:

=> 24 = y(6)

=> y = 24/6 = 4

can someone answer at least some of these?

Answers

See photo attachment for my work for question 30. Please mark me brainliest

can u guys please help me​

Answers

Answer:

a. 3.4m

b. 12.2m

Step-by-step explanation:

SOH CAH TOA

[tex]Sin QPS=\frac{Opposite}{hypotenuse}[/tex]

sin 15° = [tex]\frac{QS}{PQ}[/tex]

QS= sin 15° * PQ

QS = 0.2588 * 12.6 = 3.36088 ≈ 3.4m

a. The length of QS = 3.4m

b. [tex]cos QPS=\frac{Adjacent}{Hypotenuse}[/tex]

Cos 15° = [tex]\frac{PS}{PQ}[/tex]

PS = Cos 15° * PQ

PS = O.9659 * 12.6 = 12. 17034 ≈ 12.2m

The length of PS = 12.2m

Which angles are adjacent to each other? Question is located in the attached file (image)​

Answers

Answer:

Mark me as Brainliest

Step-by-step explanation:

4 and 3

1)Solve 3x+2= 5
A. Model 3 2 x+ = 5.
B. Perform the step to have the variables (circles) alone on one side.
C. Write the resulting step.
D. Divide the variables (circles) and numbers (squares) into equal groups.
E. Show the value of one group.

Answers

The value of x in the equation, 3x + 2 = 5 is 1.

In order to solve this equation: 3x + 2 = 5, take the following steps:

Combine similar terms together:

3x = 5 - 2

Add the similar terms together

3x = 3

Divide both sides of the equation by 3 in order to make x the subject f the formula

3x / 3 = 3 /3

x = 1

A similar question was answered here: https://brainly.com/question/11787837

at a party 6 out of 8 people what pepperoni pizza what percent of people don’t want pepperoni pizza

Answers

Answer:

sorry I don't know the answer to this question

round 0.9130434 to the nearest hundred

Answers

Answer:

0.91

Step-by-step explanation:

Answer:

0.913

Step-by-step explanation:

The charges for an international call made using the calling card for two phone companies are shown in the table. a. What is the length of a phone call that would cost the same no matter which company is used? b. Analyze Relationships When is it better to use the card from Company B?
Phone Company Charges
Company A 35¢ plus 3¢ per minute
Company B 45¢ plus 2¢ per minute

Answers

Answer: 10 minutes

Step-by-step explanation:

Let x be minutes.

Toatl costs for a call are:

A:  35 + 3x

B:  45 + 2x

When will A = B?

35 + 3x = 45 + 2x

1x = 10

They are equal cost at 10 minutes

What is the slope 5,-9 and 5,3

Answers

undefined should be the answer

The new donut shop sold 210 donuts in the first hour. At this same rate, how many donuts would the shop sell in 90 minutes? Solve the word problem using the unit rate.

Answers

210 donuts/hour. 90mins is 1hr30min. Half of 210 is 105. 210+105=315. so at that rate the new donut shop would have sold 315 donuts.

Hey this is me again ....

[tex] \frac{210}{60} = \frac{x}{90} \\ [/tex]

[tex] \frac{21}{6} = \frac{x}{90} \\ [/tex]

Multiply both sides by 90

[tex]90 \times \frac{21}{6} = 90 \times \frac{x}{90} \\ [/tex]

[tex]15 \times 21 = x[/tex]

[tex]x = 315[/tex]

So that shop would sell 315 donuts in 90 minutes

Holy crab that is too much donuts impressive....

Don't have a good day , Have a great day ❤

55.99 dollars gift with 18% coupon and 7.25% sales tax. What is the final cost?

Answers

Answer:

I think it is $91.89.

Step-by-step explanation:

1. Take the number and add sales tax by multiplying 0.0725 ( since that is what the percentage is in a decimal form). Then add that to the original and you have what it would be plus sales tax: $60.05.

2. Then you would need to multiply by 0.18. You would get 10.809

3. Next, subtract the 10.809 from $60.05 and the answer is $49.24.

I hope this helps! :)

Help please and sorry it’s not clear

Answers

Answer:

C

Step-by-step explanation:

Today everything at a store is on sale the store offers a 20
% discount the regualr price of a t shirt is 18 what is the discount price

Answers

Answer:

$14.40 is the discount price.

Step-by-step explanation:

0.2 x 18 = 3.6

18 - 3.6 = 14.4

Find the area of a circle with radius 5 ft.
Use the value 3.14 for it, and do not round your answer.

Answers

Answer:

A = 78.5 ft^2

Step-by-step explanation:

A = 3.14 x 5^2

= 3.14 x 25

The area is:

78.5 ft²

Explanation:

To find the circle's area, use the formula [tex]\sf{A=\pi r^2}[/tex].

where:

A = area;

π = 3.14 (pi);

r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 5\ ft}\end{picture}[/tex]

Plug in the data:

[tex]\sf{A=3.14\times5^2}[/tex][tex]\sf{A=3.14\times25}[/tex][tex]\bf{A=78.5\:ft^2}[/tex]

baking recipe requires an oven of 380 °F. What is the temperature in degree Celsius? With solutions please​

Answers

(380F - 32) • 5/9 = 193.333 C

A marathon is a race that is 42.195 kilometers long. Joel ran two marathons this year. How many total kilometers did he run between the two races?

Answers

Answer:

42.195 + 42.195 OR 42.195 X 2

= 84.39

Therefore, Joel ran 84.39 km altogether in two races

Hope it helps ;)

Please mark as brainliest!

Can someone help me !!!

Answers

Answer:look close because that is the question

Step-by-step explanation:

The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you would pay in New Mexico for an item of cost c?
Group of answer choices

Answers

Answer:

c = c + (c × t %)  or   c = c + (c × .05125)

Step-by-step explanation:

c = cost

t = sale tax %       5.125% = .05125 as a decimal.  

c  = c + ( c × t %)  or c = c + (c × .05125 )

             

x=5 and y=7

9y+x= ?

i need help );​

Answers

Answer:

Step-by-step explanation:

All we need to do is substitute the y and x. This would then look like:

9y + x =

9 × 7 + x =

9 × 7 + 5.

Can you solve it from here?

PLZ HELP. What is the slope of (-5,1) and (-5,7)

Answers

Answer:

0

Step-by-step explanation:

the x-value doesn't change

Hello! :)

We can use the slope formula:

[tex]\frac{y2-y1}{x2-x1} \\\frac{1-7}{-5-(-5)} \\\frac{-6}{-5+5} \\\frac{-6}{0} \\[/tex]

The slope is undefined. Here's something you should remember:

If the x-coordinates are the same, then the slope is undefined.

Hope it helps! :)

Please ask if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to help

Steps for 3m+ 6 - 2m + -22

Answers

Answer:

m-16

Step-by-step explanation:

3m+6-2m+-22=

3m-2m+6-22

m-16

Answer:

factoring

Step-by-step explanation:

break down the equation to get either two factors or three

Rahul is 5 years old .his father's age is 31 years after how many years will his father's age be 3 times of his age?​

Answers

Answer:

8 yrs

Step-by-step explanation:

3(5+x)=31+x

15+3x=31+x

2x=16

x=2

Answer:

8 years.

Step-by-step explanation:

let after x years father's age is 3 times that of Rahul.

31+x=3(5+x)

31+x=15+3x

31-15=3x-x

2x=16

x=16/2=8

The owner of a small store buys coats for $40.00 each .she sells the coats for $7200 each. What percent of the purchase price is the sale price? The owner increased the price by the same percent

Answers

Answer:

Step-by-step explanation:

0056 because 1% is 72 so you know it’s going to have to be less then 72. So to get your percent you divide 40 by 7200 so 40/7200. This will get you .00555556 which I rounded to .0056

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