A cake is removed from an oven. The temperature, in degrees Fahrenheit, of the cake after t minutes can be modeled by the equation, f(x)=70+140e^-0.024t.

What is the temperature of the cake at the moment it is removed from the oven and about how long will it take for the cake to reach a temperature of 80oF ? Round your answer to the nearest whole minute.

Thank you (:

Answers

Answer 1

Answer:

210°F

110 minutes

Step-by-step explanation:

Given that :

Temperature of cake t minutes after being removed from oven :

f(x)=70+140e^-0.024t

Temperature T the timee it is removed ;

At this point, the time t = 0

f(t)=70+140e^-0.024t

f(x)=70+140e^-0.024(0)

= 70 + 140(1)

= 210°F

how long will it take for the cake to reach a temperature of 80oF

80 = 70+140e^-0.024t

80 - 70 = 140*e^-0.024t

10/140 = e^-0.024t

0.0714285 = e^-0.024t

In(0.0714285) = - 0.024t

−2.639057 = - 0.024t

t = 2.639057 / 0.024

t = 109.9607

t = 110 minutes


Related Questions

a^12b^7/a^9b^
Someone help me find the answer please

Answers

Answer:

[tex]a^{3}[/tex] * [tex]b^{2}[/tex]

Step-by-step explanation:

[tex]\frac{a^{12} * b^{7} }{a^{9} * b^{5} }[/tex]

Divide the equation (split the equation into parts), to show like terms;

[tex]\frac{a^{12} }{a^{9} }[/tex] * [tex]\frac{b^{7} }{b^{5} }[/tex]

Since dividing two numbers with exponents,( that have the same base), is equivalent to subtracting the exponents and retaining the base, hence:

[tex]a^{3}[/tex] * [tex]b^{2}[/tex]

I need help someone THIS IS DUE IN 10 MIN pls someone

Answers

Answer:

34, 1.5, 9, 12, 3.6

Step-by-step explanation:

40.8/1.2=

1.8/1.2=

10.8/1.2=

14.4/1.2=

4.32/1.2=

Answer:

1.34  2.1.5  3. 9   4.12  5. 3.6

Step-by-step explanation:

40.8/1.2

1.8/1.2

10.8/1.2

14.4/1/2

4.32/1.2

On Monday, George's checking account held $61.72. On Tuesday, he withdrew $57.00 from the account. On Thursday afternoon he deposited $197.27. What was his final balance Friday morning?

Answers

Answer:

$201.99

Step-by-step explanation:

Given that:

Amount held on Monday = $61.72

Amount withdrawn on Tuesday = $57.00

Amount deposited on Thursday = $197.27

Final balance :

Amount held on Monday - Amount withdrawn on Tuesday + Amount deposited on Thursday

$61.72 - $57.00 + $197.27 = $201.99

Hence, final balance = $201.99

The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill

Answers

Answer:

144

Step-by-step explanation:

1872 divided into bags with 13 each is

1872/13= 144 bags to fill

y is direcly proportional to x and y=27 when x=6find x when y=45

Answers

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

7.5

Step-by-step explanation:

45 divided by 6 i don't know but I just wanted to try

7th question plsssss​

Answers

convert to exponential form

8^x=512=8^3

x=3

The logarithm of 512 to the base 8=3

Kayla is give a monthly allowance. She puts 40% of the money directly into her savings account. She spends $15 at the movies with her friends. At the end of the month, she has $3 left. How much is her monthly allowance?

Answers

£30
This is because if she has put 40% in to savings she has 60% left. This 60% is 15 + 3 (the money she spent at the movies and the money she has left) = £18
So 60% : £18
10% : £3 (divide by 6)
100% : £30 (multiply by 100)

The flagpole in front of VHS 50 feet tall. The angle of elevation from the end of its shadow to the top of the flagpole is 46°. what is the length of the shadow? Round your answer to the nearest foot

Answers

Answer:

The length of the shadow is 48.28 feet.

Step-by-step explanation:

The flagpole at its shadow form a 46, 44, 90 triangle.

Let AB be the flagpole.  AC is the shadow.

Let's use the sine law to calculate AC.

[tex]\frac{AC}{sin(44)}=\frac{50}{sin(46)}\\AC=\sin(44)*\frac{50}{sin(46)}AC=48.28[/tex]

1. The mZRST is 37º. The mZRSV is 58°. What is the mZTSV? R T s​

Answers

Answer:

-21

the answer isss -21

Jules has $1,200 and is spending $40 per week. Kelsey has $400 and is saving $40 a week. In how many weeks, will Jules and Kelsey have the same amount of money

Answers

Answer:

week number: 11 if you do count the first time they got the money or week number 10 if you don't count the first time they got the money

Step-by-step explanation:

First time they got money: Julie: 41,200 Kelsey: $400

week 1: Julie : $1,180  Kelsey: $440

week 2: Julie: $1,140  Kelsey: $480

week 3: Julie: $1,100  Kelsey: $520

week 4: Julie: $1,060  Kelsey: $560

week 5: Julie: $1,020  Kelsey: $600

week 6: Julie: $980    Kelsey: $640

week 7: Julie: $940    Kelsey: $680

week 8: Julie: $900    Kelsey: $720

week 9: Julie: $860    Kelsey: $780

week 10: Julie: $820   Kelsey: $820

Measure of angle A : 3x

Answers

Answer: 11 degrees

Step-by-step explanation:

of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?

Answers

12 becaus math sucks

What is the slope to this one? Will give brainliest

Answers

Answer:

Negative Slope.

-7/5

Step-by-step explanation:

Decreasing from left to right.

x = 3- -2 = 5

y = -2 - 5 = -7

y = -7/5x + 11/5

Answer:

7/-5

Step-by-step explanation:

What is the y-intercept of this graph?
A. 0
B. 2
C. 4
D. 8

Answers

Answer: 0

Step-by-step explanation:

The line runs through the coordinate (0,0), rather than starting at (0,2), (0,4), or (0,8).

Always remember that you read coordinates as (x,y) which..

X is how many spaces right or left

Y is how many spaces up or down.

Answer:

A. 0

Step-by-step explanation:

If you can look at the graph it crosses the y-axis exactly at the origin which is 0. This makes 0 the y-intercept because the line intercepts the y-axis at the point (0,0) making our solution A: 0

If you think my answer was helpful please make it the brainliest that would be much appreciated. Thanks! :D

price of 50 kg rice rupees 7650 find the price of 1 kg rice​

Answers

Answer:

price of 50 kg rice rupees 7650 find the price of 1 kg rice

so 50kg: 7650r

divide both sides by 50 to get 1

1kg=153 rupees

Answer:

50kg of rice --> 7650 rupees

7650/50 = 153

1kg of rice --> 153 rupees

MULTIPUL ANSWER CHOICE GIVE ME MORE THAN 1 ANSWER AND MAKE IS CORRECT! PLEASE AND THANK YOU!




Which statements about opposites are true?

Select each correct answer.


The opposite of the opposite of a number is the number itself.

The opposite of a number is 1 divided by that number.

The opposite of a number is always a negative number.

A non-zero number and its opposite are located on opposite sides of zero on a number line.

Answers

Answer: The opposite of the opposite of a number is the number itself. And the opposite of the opposite of a number is the number itself.

Step-by-step explanation:

Amanda's parents had a birthday dinner for her at Sushi Yama restaurant. The bill came to $74 before the tip. They left an 18% tip. What was the total cost of Amanda's birthday dinner?

Answers

Answer:

$87.32

Step-by-step explanation:

Step one:

given data

we are told that the initial bill is $74

thereafter they gave a tip worth 18% of the bill

let us compute what 18% of $74 will amount to

Step two:

=18/100*74

=0.18*74

=$13.32

The added expenses is $13.32

Hence the total cost is

the initial bill plus the tip

=74+13.32

=$87.32

Find a point on the line and the line's slope.
y+2= {(1/2x+5)
point on the line:
slope:

Answers

Answer:

y-intercept: 3 slope: 1/2

Step-by-step explanation:

What is the equation of the line through the origin and (2,5)

Answers

Answer:

2y=5x+2c

Step-by-step explanation:

to increase an amount by 19% multiple by?

Answers

To increase an amount by 19% you need to multiple the amount by 1.19

Answer:

1.19

Step-by-step explanation:

The original full amount is 100%.

When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.

To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19

Answer: 1.19

identify the set of ordered pairs that represent y as a function of x? PLZZZ HELP

A. (-1,0) (1,0) (3,0) (3,4)
B. (1,0) (2,0) (3,3) (3,4)
C. (0,0) (1,1) (2,3) (3,3)
D. (0,0) (0,1) (2,3) (3,4)

Answers

It will be D because your going up

x^(2)+16x+28=0 complete the square

Answers

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36

What’s the right answer?

Answers

Your answer will be y<-3

Help me witch these 4 questions and thanks

Answers

Answer:

1. f(n+1) = f(n) + 0.09

2. The correct answer is 403 = x. The student’s error is that she did not cancel out properly the constant by the inverse add ended to find the answer of the variable.

3. B

4. D 34 + 6(25.3)

can your slope ever be 0

Answers

Answer:yes

Step-by-step explanation:

yuhhhh it’s a vertical line

3/4X - 9 = 27 what does x equal?

Answers

Answer:X = 48

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

The value of x in the equation given 3x/4 - 9 = 27, is 48.

Given is an equation, 3x/4 - 9 = 27, we need to find the value of x,

To find the value of x, we can solve the given equation step by step. Let's go through the process:

Start with the equation:

3x/4 - 9 = 27

To eliminate the fraction, we can multiply both sides of the equation by 4:

4 × (3x/4 - 9) = 4 × 27

Simplifying, we have:

3x - 36 = 108

Add 36 to both sides of the equation to isolate the variable:

3x - 36 + 36 = 108 + 36

Simplifying further:

3x = 144

Divide both sides of the equation by 3 to solve for x:

(3x) / 3 = 144 / 3

This gives us:

x = 48

Therefore, x equals 48 in the given equation: 3x/4 - 9 = 27.

Learn more about Equations click;

https://brainly.com/question/29538993

#SPJ6

5) Contains (3,-1) and (6,- 13)
Help please

Answers

Answer:

The slope of the line is -12/3

Step-by-step explanation:

remember, rise over run

My I have brainliest please? :)

What is b

A=h(a+b)/2​

Answers

The answer is B= 2a/h - a

number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?​

Answers

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?

Answers

20/50 if they ask to simplify it is 2/5

All you have to do is take the amount and do probability like a fraction
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