The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?

Answers

Answer 1

Answer:

The number of hours that the milk will stay fresh is 86.2 hours

Step-by-step explanation:

Given the following function;

[tex]H(T) = 180*10^{(-0.04T)}[/tex]

where;

T, is the  temperature in degrees centigrade

H is the number of hours

At 8°C the number of hours that the milk will stay fresh is given by;

[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]

Therefore, the number of hours that the milk will stay fresh is 86.2 hours.


Related Questions

The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.

Answers

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45

Answers

Answer:

ummm ................

Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2

Answers

Answer:

The right answer is d. inverse variation; k=2

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 200 notebooks. What was the absolute error in Ron’s estimate?

The absolute error is _______

Answers

Answer:

32

Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

__

There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.

Answer:

see attached

Step-by-step explanation:

A pack of 48 water bottles at Costco is $3.95. What is the unit rate price for each water bottle?

Answers

Answer:

use caculator and do 48 divided by 3.95

Step-by-step explanation:

and u will get your answer

Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.

Answers

Answer:

$42 per hour

Step-by-step explanation:

Well,

She got $504 in total

8 + 4 = 12 (the total number of hours worked)

To find out how much she earned per hour you'll need to divide.

$504 ÷ 12

which equals $42

Answer:

Maria earned $42 per hour.

Step-by-step explanation:

First, we need to add the total amount of hours she worked.

8 + 4 = 12

Next, we need to divide 504 and 12 to see how much she earned per hour.

504 ÷ 12 = 42.

So, Maria earned $42 per hour.

I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)

for the graph of g(x) pictured below, over which of the following intervals is g(x) only decreasing?

Answers

Answer:

2. -8 < x < -2

Step-by-step explanation:

The x-values of the line where the line slants downwards before it begins to slant upwards to the right, is the interval at which g(x) is decreasing only.

From the graph, at x = -8, y = -2. When x = -2, y = -5.

Between the intervals of x = -8 and x = -2, g(x) decreased from -2 to -5.

Therefore, the answer is: 2. -8 < x < -2

What is the solution to the system of equations?

Answers

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

help me!!!!!!! I need help​

Answers

Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3

y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3

The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?​

Answers

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have

Answers

Answer:

41 games ( Brianna Has)

Geo has 82 because 25x25 equals 75 and 75+7 equals 82.

Answer:

Brianna Has  41 games  

Step-by-step explanation:

HELP ME PLEASE HURRY

Answers

Answer:

x=-2

Step-by-step explanation:

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

C.

Step-by-step explanation:

A dozen of roses cost $64.44. How much did each rose cost?

Answers

Answer:

5.37

Step-by-step explanation:

if 12 roses cost 64.44 and the price of one is x then

12x=64.44

x=64.44/12

x=5.37

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

Some
One help me with this

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope equals rise/run. You find one perfect point  (-2,0) and another along the line (1,2)

You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.

Which Is The Correct Classification And Decimal Expansion of 3/8

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

I used a calculator

6(x – 1) = 9(x + 2)
Solve

Answers

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

4. Evaluate the following expression for r= 5.
2(r2 - 8)

Answers

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

Math I need help 8th grade

Answers

Answer:

Part A x=60

Step-by-step explanation:

68+52= 120

180-120=60

So x=60

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck is on pace.

Step-by-step explanation:

To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.

Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)

Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)

When you do this you can see the mph of the bus is < the mph of the truck.

If you have any questions please leave them in the comments.

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:

Square root of 244 simplified radicals

Answers

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

what are all the fractions that are equivalent to 1/7​

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400

Answers

Answer:

Since the budget of the school is $15,000, the school does not have enough money to buy the monitors

Step-by-step explanation:

The school plans to purchase 200 monitors for $89 each.

This is the calculation of the teacher

200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400

The teacher's calculation is wrong

The correct calculation using Distributive property is

a(b + c) = ab + ac

200 × 89 = 200(80) + 200(9)

Because 80 + 9 = 89

Hence,

200 × $89 = 16000 + 1800

= $17,800

Since the budget of the school is $15,000, the school does not have enough money to buy the monitors

$17, 800 ≠ $15,000

Given f(x) = -x + 3, solve for x when f(x) = 4.

Answers

Answer:

x=-1

Step-by-step explanation:

f(x)=f(x)

-x+3=4

4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.​

Answers

Answer:

3x - 2y = - 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide all terms by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form

Multiply through by 2

2y = 3x + 28  ( subtract 2y from both sides )

0 = 3x - 2y + 28 ( subtract 28 from both sides )

- 28 = 3x - 2y , that is

3x - 2y = - 28 ← equation in standard form

Other Questions
Write a brief summary of what Confucianism is.Write a brief summary of what Daoism is.Write a brief summary of what legalism is. Solve the equation 3x + 4y = 16 for x.O A x V 16B. x=3(16-4)O c. x = 16 - 4yO D. x. 18 AV Solve for t.16-2t=3/2t+9T=_____ What defines a very loose association of strong, independent parts? In August 1986, a gigantic volume of __________ belched forth from Lake Nyos in Cameroon and swept down the adjacent valleys asphyxiating 1,700 people. describe the 4 steps of the nitrogen cycle :) what was juice wrlds real name What is the measure of Angle 1 in this figure? A. 30B. 80C. 110D. 130 what are the slopes of the two lines? green has two yellow dots. What is the definition of author's purpose?(1 point)the author's topic of the writingthe author's reason for writingthe author's attitude about the topicthe author's main ideaWhat is the definition of point of view?(1 point)the author's topicthe author's attitude toward the topicthe author's main ideathe author's reason for writingAn author's purpose for writing is to inform. How do writers accomplish this purpose?(1 point)by persuading readers to agree with their ideas and think or act differently as a resultby describing people, places, or events in an enjoyable wayby presenting facts to teach their readers about a topicby making readers understand their point of viewRead the following passage. Many people take in their daily dose of caffeine with the first cup of coffee or sips of soda. While a moderate amount of caffeine consumption is safe, experts warn that too much caffeine can pull too much water from a person's body and lead to dehydration. An elevated amount of caffeine can also affect sleep patterns and blood pressure. Make sure to enjoy the right amount of caffeine by following the recommended guidelines and staying below 400 milligrams of caffeine per day.What is the author's point of view?(1 point)Follow the recommended guidelines of daily caffeine consumption to maintain a healthy lifestyle.Dehydration can be avoided by increasing daily water consumption.People should not drink coffee or soda because both beverages contain too much caffeine.The right amount of water regulates functions of the body better than the right amount of caffeine. Which of the following is a "big idea" that London tried to unpack in The Call of the Wild?survival of the fittestthe fall of civilizations and societiesthe structure of governmentsthe evil of man find the 13 term7 la For the sequence 11,13,15,17 The rest comes after me. Is it correct? PLEASE HELP ME WITH NUMBER 7 10. Fiber characteristics greatly affect the performance of the fabrics fibers become.TrueFalse Ian loaned his friend $20,000 to start a new business. He considers this loan to be an investment, and therefore requires his friend to pay him an interest rate of 7% on the loan. He also expects his friend to pay back the loan over the next four years by making annual payments at the end of each year. Ian texted and asked that you help him calculate the annual payments that he should expect to receive so that he can recover his initial investment and earn the agreed-upon 7% on his investment.Required:Calculate the annual payment and complete the following capital recovery schedule:Year Beginning Amount Payment Interest Paid Principal Paid Ending Balance NEED HELP ASAPPPPPP !!!! Read the passage below and answer the question that follows. I love the land and the buffalo, and will not part with any . . . . I love to roam over the wide prairie, and when I do it I feel free and happy; but, when we settle down we grow pale and die. Which chief made these remarks during the Medicine Lodge Council? A. Satanta B. Satank C. Big Tree D. Standing Bear What one idea you have about how rescue workers can get energy to their electrical devices in these situations In the late 1930s management at Atalanta Industries agreed to hire only those workers who were already members of the Electrical Union. Atlanta agreed to a type of arrangement known as a(n) Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He getspaid $30 per day for delivering newspapers. What is the least number of days he must work toget enough money for his holiday?