A pan from the oven is sitting out to cool to room temperature. If the temperature difference between the pan and room temperature is currently 197°C and is decreasing by 6% every minute, how much above room temperature will the pan be in 15 minutes? If necessary, round your answer to the nearest tenth.

Answers

Answer 1

The temperature difference between the pan and room temperature would be 77.9⁰C in the next 15 minutes,

How to solve an exponential function?

Let y represent the temperature difference after x minutes.

The difference between the pan and room temperature is currently 197°C and is decreasing by 6% every minute, hence:

y = 197(100% - 6%)ˣ

y = 197(0.94)ˣ

The temperature in the next 15 minute is:

y = 197(0.94)¹⁵ = 77.9⁰C

The temperature difference between the pan and room temperature would be 77.9⁰C in the next 15 minutes.

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Related Questions

What is the value of this expression?

27+4×(8−4)

Answers

Answer:

43

Step-by-step explanation:

First, you have to find the value inside the parentheses. That would be 8-4, which is 4.

Now, use the rule of Pedmas, or Bedmas, whatever you prefer. That is Parentheses, exponents, multiplication, addition, subtraction. So, now you have the equation:

27 + 4 x 4.

You would multiply before addition, as shown above, so you would get:

27 + 16

which would equal:

43.

Q17.
Jim wants to buy 10 rolls of wallpaper
He sees these prices.
Wallpaper
Single roll £12. 50
Pack of 3 rolls
£34. 50
Pack of 5 rolls
€58. 75
What is the cheapest price for 10 rolls?​

Answers

,Answer: Cheapest is the Pack of 3

Step-by-step explanation: 10 Single roll $125
Pack of 3 roll, one will be $11.5 and 10 will be $115
Pack of 5 roll, one will be $11.75 and 10 will be $117.5


Charlene has a monthly salary of $3,410. with her present budget, charlene has a net income that is 7% of her monthly salary. charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. what will charlene’s new net income be? a. $113.70 b. $176.70 c. $229.95 d. $238.70

Answers

Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Charlene has a monthly salary = $3,410.

Charlene has a net income that is 7% of her monthly salary.

The computation of the new net income is shown below

= Monthly salary × net income percentage - reduced amount of net income per month

= $3,410 × 7% - $125

= $113.70

Hence, the corrected net income is $113.70

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What is the missing angle?

Answers

3x + 27 =180

-27

3x = 153

÷3

x = 51

a=142

(vertically opposite angles are equal)

Reflex angles adds up to 360

360 - (142x2) = 76

76/2 = 38

t & c = 38

Hope this helps!

Answer:

Here you go :) if you need anything tell me!

please help, thanks if you do

Answers

Answer:

Step-by-step explanation:

f(x) = (-2)^x

x = 3 from the left

f(3) = (-2) ^3

f(3) = (-2) *  (-2) *  (-2)

f(3) = - 8

You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x

Which equation represents an exponential function?

3
x
4
3
x
4
3 x to the 4th power

3
(
4
)
x
3
(
4
)
x
3 times 4 to the x th power

3
x

4
3
x

4
3 x to the negative 4 power

3
x
3
x
3 x

Answers

Answer:

pls why did you decide to type vertically, you could have typed it horizontally for clearer understanding, thanks.

Step-by-step explanation:

by my analysis

the answer should be the first option

3x to the 4th power

mathematically 3x^4.

1+1 =
9+10 =
6+9 =
4+20 =
Apple + Orange =
Trick questions!!!

Answers

1-1=8 this is the answer

A puppy and a kitten are 180 meters apart when they see each other. If the puppy can run at a speed of 25 meters per second, and the kitten runs at a speed of 20 meters per second. How soon will they meet if they simultaneously start running toward each other?

Answers

Answer:

it will take 4 seconds

it takes the puppy 25 seconds and the cat 20 seconds

20+25= 45

180 divide by 45 = 4 seconds your answer is 4 seconds

your welcome!

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.)
ln z(z − 1)^8, z > 1

Answers

Answer:

[tex]\ln z + 8\ln (z-1)[/tex]

Step-by-step explanation:

[tex]\ln z(z-1)^8[/tex]

Using the product rule: [tex]\ln(xy)=\ln x + \ln y[/tex]

[tex]\implies \ln z + \ln (z-1)^8[/tex]

Using the power rule:  [tex]\ln x^n=n \ln x[/tex]

[tex]\implies \ln z + 8\ln (z-1)[/tex]

ln(ab)=lna+lnb

[tex]\\ \rm\Rrightarrow lnz(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+ln(z-1)^8[/tex]

lna^b=blna

[tex]\\ \rm\Rrightarrow lnz+8ln(z-1)[/tex]

A (___________________) includes information
about how well you manage money.

A credit card

B checking account

C work-study program

D credit history

Answers

Answer: d credit history

Step-by-step explanations :

If you borrow $700 for 5 years at
an annual interest rate of 7%, how
much will you pay altogether?

Answers

Answer:

its 945 or 982

Step-by-step explanation:

1
(2 × 105) + (5 × 104)
4.52+10.82
4

Answers

Answer:

a) 5.85

b) 0.0004

Step-by-step explanation:

[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]

If you invest $8,600 at a 3.95% simple annual interest rate, approximately how long will it take for you to have a total of $21,000? a. 25.3 years b. 36.5 years c. 45.9 years d. 60.7 years

Answers

It should be B. (36.5 years)

The time taken to have a total of $21,000 is 36.5 years.

To calculate the time it takes to reach $21,000 with a simple annual interest rate, we can use the formula for simple interest:

Interest = Principal × Rate × Time

Where:

Interest is the additional amount earned on the initial investment (in this case, the difference between $21,000 and $8,600),

Principal is the initial investment ($8,600),

Rate is the annual interest rate (3.95% expressed as 0.0395),

and Time is the unknown variable we want to find.

We can rearrange the formula to solve for Time:

Time = Interest / (Principal × Rate)

Let's plug in the values:

Interest = $21,000 - $8,600 = $12,400

Principal = $8,600

Rate = 0.0395

Time = $12,400 / ($8,600 × 0.0395) ≈ 36.5

So, it will take approximately 36.5 years to have a total of $21,000.

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Dahlia runs a fruit store. She started Monday with 22 cherries in stock. During the day, she sold 19 cherries and got a shipment of fresh cherries. The shipment contained 3 times as many cherries as she started the day with. How many cherries does Dahlia have in stock at the end of the day?

Answers

The amount of cherrries that Dahlia has in stock at the end of the day is 69.

How many cherries does Dahlia have in stock at the end of the day?

The first step is to determine the number of cherries that were remaining after 19 were sold.

Cherries remaining = 22 - 19 = 3

Number of cherries in the shipment == 22 x 3 = 66

Total number of cherries at the end of the day = 66 + 3 = 69

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What is the number between 80 and 90 that has seven as a factor

Answers

Answer:

the answer is 84

pls help, its due today. !!!

Answers

Answer:

its dark blue

Step-by-step explanation:

I need help on way more then just thisT-T-math-

Answers

Answer:

Your answer is B) 3.6 cm.

Step-by-step explanation:

10 mm = 1 cm. To convert 36 mm to cm all you have to do is divide by 10.

36/10 = 3.6

So, 36 mm = 3.6 cm.

In the future, if you were to convert cm to mm, just multiply by 10.

The answer is B) 3.6cm
This is because 10mm = 1cm
So 36mm = 3.6cm

A rectangular prism has a volume of 120 cubic inches. The length of the prism is 5 inches, the width iS (x-2) inches, and the height is (x+3) inches. What are the width and height of the prism?
A
width: 6 in., height: 4 in.
B
width: 8 in., height: 3 in.
width:
in. height: 6 in.
D
width: 3 in., height: 8 in.
d

Answers

The last one width 3 in height 8 in

A county in north carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile. how many deer live in the county? round to the nearest whole number, if necessary. 48 deer 68 deer 5,852 deer 5,992 deer

Answers

Answer:

C

Step-by-step explanation:

The total population of Deer's in the given span area is 5852 Deer's.

What is population density?

Population density is defined as the total number of humans presence

per unit square miles. Mathematically, we can write -

Population density = (Total human population)/(Total span area)

Given is that a county in north Carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile

We can write the total population of Deer's in the given span area as -

Population = Deer's population density x total area span

Population = 11 x 532

Population = 5852

Therefore, the total population of Deer's in the given span area is 5852 Deer's.

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Please help me
What evidence does the article provide to support one claim in favor of adding expanded learning time?

A: Andover school are already top performers in state.

B: Funding for longer school days in only guaranteed for one year.

C: Some are convinced that ELT will encourage positive parent involvement.

D: More time is needed for current academic lessons and special projects. ​

Answers

Answer:

D

Step-by-step explanation:

More time is needed for current academic lessons and special projects.

A customer at a video game store pays $420 for 6 games and 2 controllers. A second customer pays $180 less than the first customer for 2 games and 4 controllers. The price of each game is the same, and the price of each controller is the same. Which system of equations can be used to find the price, in dollars, of each game, g, and each controller, c

Answers

The linear system with two variables is used to find the price. The price of each game is $60 and the price of each controller is $30.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A customer at a video game store pays $420 for 6 games and 2 controllers.

A second customer pays $180 less than the first customer for 2 games and 4 controllers.

The price of each game is the same, and the price of each controller is the same.

Let x be the price of games and y be the price of the controller. Then the equations will be

6x + 2y = 420  ...1

2x +  4y = 240  ...2

By solving the equations 1 and 2, then we have

x = 60 and y = 30

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50 points pls help!!!!!!
Make sure you are right I will have to retake this if you are wrong

if the terminal point of Ø is (0,1), what is tan Ø?

undefined
1
1/2
0

Answers

Answer:

undefined

Step-by-step explanation:

Since, the terminal point of  is (x,y), thus

[tex]tan[/tex] Ø [tex]\frac{y}{x}[/tex]

x-coordinate is 1 and the y-coordinate is 0. Using [tex]tan0=\frac{y}{x}[/tex] we get:

[tex]tan[/tex] ∅ [tex]=\frac{1}{0}[/tex]

[tex]tan[/tex] ∅ [tex]=0[/tex]

Therefore, tan Ø is undefined.

Or we can just do 1/0  which is undefined

~Lenvy~

help i don't understand

Answers

The answer to your question is 2/27

HELP! WILL GIVE BRAINLEST! What is the approximate degree measure of an angle of 4.59 rad?

Answers

Answer:

263 degrees......... ........

Step-by-step explanation:

263 is the answer.

the graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints. Use only decimal form, if necessary.

Answers

Y=4.5X is your answer

Answer:y=2.5x

Step-by-step explanation:

We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.

To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

m= Slope (rate of change).

=Difference between two y-coordinates.

=Difference between corresponding x-coordinates of the y-coordinates.    

Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,  

The slope of our given line is 2.5.  

Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).

Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,

Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,

Therefore, the equation  will give the number of servings y in x pints.

Point W is located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create Point W. Point W is then reflected over the y-axis to create point W. What ordered pair describes the location of point W?

Answers

Answer: W is now at (2,-3)

Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).

Five friends plan to split a restaurant bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% top. What amount should each friend pay?

Answers

Answer:

$21.54

Step-by-step explanation:

89.75 x .2 = 17.95

17.95+89.75=107.70

107.70/5=21.54

What is 4.78 as a percent

Answers

The decimal 4.78 equals 478%
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 4.78 × 100 = 478%

What is the mean of the data set?

{2, 5, 1, 7, 6, 4, 3}

Enter your answer in the box.

Answers

Your answer is 4.

Explanation:--

The Mean of the Data set is ---

2+5+1+7+6+4+3

7

= 4.

Hence, Mean of the data set is 4.

Answer:

To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.

2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4

The answer is
4


Step-by-step explanation:

The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.

In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.

Other averages used more commonly in finance include the geometric and harmonic mean.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.

x 2 - 5x - 24 = 0

Answers

Answer:

x=x2-24/5

2 −24

Step-by-step explanation:

x2−5x−24=0

Add 5x to both sides. Anything plus zero gives itself.

x

2

−24=5x

Add 24 to both sides.

x

2

=5x+24

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