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You take a pan of brownies out of the oven and set them on the counter in a room that is 70 degrees F, If the brownies start at 400 degrees F, approximately how long will it be before they are cool enough to eat at 160 degrees F? Use Newton's Law of Cooling with k = 0.035.

Answers

Answer 1

Answer:

i would say wait abought 50 mins

Step-by-step explanation:

i dont know whow to explain i might be wrong but its some whaere around 50 mins irl

Answer 2

Using Newton's Law of Cooling with a cooling constant of 0.035, it will take approximately 42.53 minutes for the brownies to cool from 400 degrees F to 160 degrees F.

To estimate the time it would take for brownies to cool from 400 degrees F to 160 degrees F using Newton's Law of Cooling, we can use the equation [tex]T(t) = T_s + (T_0 - T_s)e^{(-kt)[/tex], where T(t) is the temperature of the object at time t, T_s is the surrounding temperature, T_0 is the initial temperature of the object, and k is the cooling constant (0.035 in this case).

First, set T(t) = 160 degrees F (the desired temperature), T_s = 70 degrees F (room temperature), and T_0 = 400 degrees F (initial temperature of brownies). Plug in the values into the equation: 160 = 70 + (400 - 70)e^(-0.035t).

Simplify and solve for t. Subtract 70 from both sides: 90 = 330e^(-0.035t). Divide both sides by 330: 90/330 = e^(-0.035t), which simplifies to 0.2727 ≈ e^(-0.035t).

Take the natural logarithm of both sides to solve for t: ln(0.2727) = -0.035t. Solving for t gives t ≈ -ln(0.2727)/0.035, which calculates to approximately t ≈ 42.53 minutes.

Hence, the brownies should cool to 160 degrees F in about 42.53 minutes.


Related Questions

What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16

Answers

Answer:

k = 4

Step-by-step explanation:

The constant of proportionality is found by starting with y = kx, then finding k.

We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation  y = kx, to get:

4 = k x1

k = 4.

So y = 4x

(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)

Answer:

4

Step-by-step explanation:

Show how to use mental
Math to find 513 - 198

Answers

Answer:

311

Step-by-step explanation:

you could try to round it for example 510-200=310

310+3=313

313-2=311

Enter the fraction 33100 as a decimal

Answers

Answer:

0.33

Step-by-step explanation:

If you have the number 1 and divide it by 100, you get 1/100, 0.01, or 1% of 1. If you multiply 1/100 by 33, you get 33/100, 0.33, or 33% of 1.

33/100 = 0.33

A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 33100, exactly as in the question.

The perimeter of a rectangle is 30 inches. Its length is three times its width. Write an equation to represent the problem

Answers

Answer:

Eqn of the problem: 2(3x + x) = 30

Solution: Width = 3.75 inches  and Length= 11.25 inches

Step-by-step explanation:

We are given;

The perimeter of the rectangle as 30 inches Length is 3 times its width

We are required to represent the equation of the problem;

Assuming the width = x inches, then;Length = 3x inches

The formula for getting the perimeter of a rectangle is;

Perimeter = 2 (l+w)

In this case;

2(3x + x) = 30

Therefore;

The equation for the problem is;

2(3x + x) = 30

8x=30

Thus;

8x = 30

  x = 3.75 inches

 3x = 11.25 inches

Hence, the with is 3.75 inches while the length is 11.25 inches

Which polygon has exactly one pair of parallel sides? A. rectangle B. trapezoid C. parallelogram D. square

Answers

Answer:

B. trapezoid

Step-by-step explanation:

The other three have two pairs of parallel sides

Answer:

B

Step-by-step explanation:

WILL GIVE BRAINLY
The equation of the line of best fit of a scatter plot is y = -5x - 2. Vhat is the slope of the equation?

Answers

Answer:

A line of best fit is a straight line that best represents the data on a scatter plot. The equation of the best fit line is y = ax + b. In this form, a is the slope of your best fit line and b is the y-intercept.

Answer:-5

Step-by-step explanation:

this is because it’s the X value. That’s the slope

the weight of 80 screws in a jar of identical screws is 2 ounces. what is the weight, in ounces, of 4 screws

Answers

The weight of 4 screws is 0.1 ounces

Step-by-step explanation:

The problem can be solved by setting up a proportion.

In fact, we know that:

- The weight of 80 screws is 2 ounces

- So we want to find the weight of 4 screws

We can write the following proportion:

[tex]\frac{80}{2}=\frac{4}{x}[/tex]

where

x is the weight of 4 screws

Solving the equation, we find:

[tex]x=\frac{4\cdot 2}{80}=0.1[/tex]

So, the weight is 0.1 ounces.

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slope of (0,3) and (-4,-1)

Answers

Slope is change in y over change in x
3-(-1)/0-(-4)
4/4=1
The slope is 1

Determine the general form of the equation for the circle x^2 + (y + 1)^2 = 2.

Answers

Answer:

x² + y² + 2y - 1 = 0

Step-by-step explanation:

The general form of the equation for the circle:

x² + y² + ax + by + c = 0

Where: a, b and c are constants.

For the given equation:

x² + (y + 1)² = 2

∴ x² + (y + 1) (y+1) = 2

∴ x² + y² + 2y + 1  = 2  ⇒ subtract 2 from both sides

∴ x² + y² + 2y + 1 - 2 = 2 - 2

∴ x² + y² + 2y - 1 = 0

So, the general form of the equation for the circle:

x² + y² + 2y - 1 = 0

The sum of two numbers is thirty seven. Using x to represent the larger of two numbers, translate “the difference between nine more than twice the larger number and the sum of the smaller number and three” into a variable expression

Answers

Two numbers = 37

Larger number is x, so the smaller number is 37 - x:

x + (37 - x) = 37

“The difference” is subtraction, so we are subtracting the smaller and larger number.

“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:

-(37 - x) = -37 + x

We then simplify:

9 + 2x - 37 + x + 3 (subtract 3)

9 + 2x - 34 + x

-25 + 2x + x (subtract 8 and 34 then add 2x and x)

-25 + 3x

The variable expression for the given problem, where x is the larger number and the sum of two numbers is thirty-seven, is 2x + 9 - (37 - x + 3).

The student is asking to translate a word problem into a variable expression. The problem states that the sum of two numbers is thirty-seven and defines the larger number as x. We want to find the expression for "the difference between nine more than twice the larger number and the sum of the smaller number and three". Knowing that the sum of the two numbers is thirty-seven, we can represent the smaller number as 37 - x. Therefore, the expression would be 2x + 9 - (37 - x + 3).

I have to wake up at 5am and it’s 11pm can someone please help me with this so I can go to bed please

Answers

Answer:

the 11th week.

Step-by-step explanation:

the expression for the markdown on the 8th week is p-.15p=.85p since it will get marked down 15% on the 8th week. the expression for the additional markdowns is p-.05p=.95p since it will get marked down an additional 5% every week after the 8th week.

On the 8th week it will be marked down to .85(150) = 126.50.

9th week: .95(127.50) = 121.13

10th week: .95(121.13) = 115.07

11th week: .95(115.07) = 109.32    

109 is under 110 therefore it is the 11th week.

The volume of industrial production increased ten times. What was this increase in percent?

Answers

Answer:

1000%

Step-by-step explanation:

Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.

900 % is the correct answer UvU

Have a good day!

PLEASE I NEED TO KNOW ASAP

i know this is probably easy but i don’t understand it.

1.666666667x10^3 in 1 decimal place not in standard form

would it be something like 1.06

Answers

3,400,000

I thaink but not shore if wrong i'm sorry

Answer:

666.6

Step-by-step explanation:

1.666666667*10^10^3= 666.6

Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and poured the same amount of water into each cup.

Find the number of ounces of water, x, that Will could have poured into each cup.

Answers

Answer:

x ≤ 8

Step-by-step explanation:

The number of ounces of water x that Will could have poured into each cup is 8 or less than 8. by solving through inequality.

What is inequality?

Inequality is just like equation which expresses relationship between two or more variables but it is in greater than or less than form. It is just like:

x+ y<c.

How to form inequality?

Let the capacity of each cup be x.

According to question

16x+16<=144

16x<=144-16

16x<=128

x<=8.

Hence the number of ounces of water that Will could have poured into each cup is 8 or less than 8.

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The last line of a proof represents

Answers

The last line of a proof represents: The conclusion!

Please help on this 8 questions ASAP

Answers

Answer:

2. either of two angles whose sum is 180°.

3. each of the pairs of opposite angles made by two intersecting lines.

4. Two angles are adjacent when they have a common side and a common vertex (corner point) and don't overlap.

5. The acute angle is an angle less than 90°

6. It is more than 90° and less than 180°.

7. an angle of 90°

8. an angle of 180°

Convert 2671, to base 3 without first converting to base 10.​

Answers

I do not understand the second half of the question but 2671 in base 3 is 10122221

Answer:

10122221 base 3

Step-by-step explanaUrtion:

PLEASE.HELP ASAP. STEP BY STEP PLZ. Suppose the distance in miles traveled from home to school is 15 miles. suppose it takes 36 minutes. Find the time in hours traveled from home to school. The minutes can be
divided by 60 to get hours. For example 45 minutes = 45/60 =0.75 hours. Write the answer at a
number only with a zero before the decimal, ie.0.75.​

Answers

Since you are just converting the minutes to hours, you can disregard the 15 miles
To change
36 minutes
60 minutes
36/60
3/5
.6 hours
0.6 hours

16.3k + 19.2 + 7.5k = -64.1

Answers

You need to find "k", by isolating/getting "k" by itself in the equation

16.3k + 19.2 + 7.5k = -64.1     First combine like terms, 16.3k and 7.5k

23.8k + 19.2 = -64.1       Subtract 19.2 on both sides

23.8k = -83.3       Divide 23.8 on both sides to get "k" by itself

k = - 3.5

Quotient of 4 and a number increased by 10

Answers

Answer:

x+10/

Step-by-step explanation:

Quotient of 4 =divide by 4

a number increased by 10= x+10

Final answer:

The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.

Explanation:

If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.

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3x 2 - 6 = 10 - x 2

{±1}
{±2}
{±4}

Answers

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² - 6 = 10 - x² ( add x² to both sides )

4x² - 6 = 10 ( add 6 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

b {+2}

1111111111111111111111

which expression is equivalent to 3y-8+(-7y)+8

Answers

Answer:

I believe the answer to this question is: -4Y

The answerrrrrr is -4y

mrs. sorbel has 25 students in her class .21 students are wearing their badges. what percent of mrs.sorbels class is not wearing their badge​

Answers

Answer:

84% I believe

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

You take the 21 students with badges and multiply by 100. You get 2,100, take that and divided by 25. You get 84 percent ( I think it’s the answer so sorry if it’s wrong)

PLEASE HELP ME MAKE HONOR ROLL PLEASE NEED HELP

Translate this phrase into an algebraic expression.

71 less than twice Julie's age
Use the variable j to represent Julie's age.

Answers

2j-71 = 71 less than twice julies age

Answer:

71 < 2 · j

Step-by-step explanation:

71 less than twice Julie's age

Use the variable j to represent Julie's age.

71, less than (<) twice (2) and j represents the age

Bill works in a hardware store. sixteen hours represent 40% of bills work week. How many hours does bill work in one week?

Answers

Bill works 40 hours, 40% = 16 hours with means 80% = 32 hours half of 40% is 20% and have of 16 is 8 therefore 80% plus 20% is 100% and 32 hours plus 8 is 40 hours

Max takes a taxi to work one day. The taxi charges. A $6 flat fee plus $0.25 per mile. Max wants to spend exactly $12.50. How many miles will he travel in the taxi for this amount?

Answers

12.50 - 6 = 6.50
6.50/.25 = 26
26 miles
12.50 - 6 = 6.50
6.50 ÷ .25 = 26
So he could travel 26 miles :)

A car drives 195miles in 3hrs and 15mins what’s the average speed of the car

Answers

Answer:

60

Step-by-step explanation:

195mi / 3.25hr = 60 mi/hr60

Answer: 0.0166666666 recurring

Mph

Step-by-step explanation:

|1/2(16−6^3)| plz help

Answers

Answer:

I believe the answer to this question is: 100.

What is the solution of the system?

10x−2y=24
6x+2y=8
Enter your answer in the box, as an ordered pair

Answers

Answer:

The solution is (2, -2)

Step-by-step explanation:

Let's find out the solution of the system:

10x − 2y = 24

6x + 2y = 8

Describing x in terms of y in the first equation, this way:

10x − 2y = 24

10x = 24 + 2y

x = 2 * (12 + y)/10 (Dividing by 10 at both sides)

x = (12 + y)/5 (Simplifying)

Solving for y in the 2nd equation:

6x + 2y = 8

6 * (12 + y)/5 + 2y = 8

(72 + 6y)/5 + 2y = 8

72 + 6y + 10y = 40 (Multiplying by 5 at both sides)

16y = 40 - 72

16y = -32

y = -2

Solving for x in the 1st equation:

10x − 2y = 24

10x - 2 * -2 = 24

10x + 4 = 24

10x = 24 - 4

10x = 20

x = 20/10

x = 2

The solution is (2, -2)

what is 1/4 + 3/7? please explain how to solve it.

Answers

Answer: 19/28

Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.

To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.

To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.

Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.

So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.

So, 1/4 + 3/7 = 19/28.

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