What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.

Answers

Answer 1

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

Learn more on the rate of change here: https://brainly.com/question/11627203


Related Questions

Which graph is right?

Answers

Answer:The first option is correct

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[

Triangle ABC is shown. The measure of the interior angle at point A is 29° and the exterior angle at point C is 82°.



What is the measure of angle x?

Answers

Answer:

127

Step-by-step explanation:

5
x
:
8
=
7
:
2
Calculate the value of x
.
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

5x:8=7:2

5x/8=7/2

By Cross Multiplication:

10x=56

x=56/10

x=28/5

If you need to ask any question,please let me know.

what is x/7-6 i need help on this bud!

Answers

Answer:

answer is x-45/7 okayyyy

Answer:

X/7-6

lcm

X-6*7/7

Step-by-step explanation:

X-42/7 #

help meeeeeeeeeeeeeee i wll give brainly ponits

Answers

✍️Answer:

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

please help and show work

Answers

[tex]x=0=>0^{5} +32 = ( 0 +2 ) ^ 5[/tex]

P/s:    [tex]0^5+32=32 , (0+2)^5=2^5 =32[/tex]

[tex]x=-2=> (-2)^5 + 32 = ( -2 +2 )^5[/tex]

P/s:    [tex](-2)^5 +32 = -32+32=0, (-2+2)^5=0^5=0[/tex]

ok done. Thank to me :>

What is 4+2(5)+(-3)=

Answers

Answer:

The answer is 11, I think, hope this helps!

Step-by-step explanation:

Answer!

=================================================

Solve.

[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]

Therefore, the answer is 11.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

At the football game, 3 hamburgers and 6 soft drinks cost $24, and 4 hamburgers and 3 soft drinks cost $22. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?

Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answers

Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Help please I rlly don’t understand

Answers

a) 2

b) 93

that's the answer

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

#2

vertical angles theorem

#3

Third angle therom

#4

Definition of congruence

#5

Reflexive

#6

Definition of bisect

#7

SAS

Step-by-step explanation:

Missing reasons:

2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSS

Lia has 72 green grapes that are shared equally between 8 of her friends. Darrel adds 41 green grapes to his share. How many grapes does Darrel have in all

Answers

The answer would be 49 because 72 divided by 8 would be 9 and you add 41 you get 49

Darrel has 50 grapes in all.

Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:

Number of grapes each friend receives = 72 / 8 = 9

Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:

Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel

Total grapes for Darrel = 9 + 41 = 50

To know more about grapes:

https://brainly.com/question/22694731

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How can you write and evaluate numbers with exponents?

Answers

Answer:

an exponent is the small number written above and to the right of a number

on a keyboard it is written like (^) that

ex. If you were saying 2 to the power of 2, you would write it as 2^2

when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself

Step-by-step explanation:

The quotient of eight and the number H is written as?

Answers

Answer:

8/h

Step-by-step explanation:

Quotient means division, so basically you are dividing 8 by h.

Answer:

8/H

Step-by-step explanation:

8/H - Just divide 8 by H

Find the third side in simplest radical form:

Answers

Step-by-step explanation:

[tex]by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} [/tex]

there are 30 men and 15 of them have facial hair how much percentage would that be​

Answers

If there are 30 men and 15 have facial hair then that’s half of them, and half=50%

find the sum
(2x+6)+(4x-12)
HELp

Answers

Answer:

6x-6

Step-by-step explanation:

(2x+6)+(4x-12)=2x+6+4x-12

                      =6x-6

6x-6, you add both x values and and then add the 6+(-12) leaving you with -6

my bibi’sister need a answer she don't know the answer, she need your help​

Answers

13. 12008.

14. 59286.

15. 21459.

16. 80478.

17. 130567.

18. 11100.

19. Seventy-two thousand, one hundred eighty.

20. Eighty thousand, seven hundred eighty-six.

Hope This Helps...:)

I’ll give brainliest if you explain thoroughly and well.

The width of a rectangle is one third the length. The perimeter is 48 cm. Find the length and width.

Answers

Answer:

if 2 length + 2 width is the perimeter, then 2(L+W)=P. if w is 1/3 of L, then W=1/3L, and from there we work back. half of 48 for just one length and one width, we have 24. we want one-third of length+length, so 4 parts. we are left with L=18 and W=6. 18+6=24, x 2= 48. I'm sorry if this was confusing, but I hope this helps!

Round this number to the nearest one.

3.5

Answers

Hello there, hope you are having a nice day.

This is the rule for rounding:

If the number is less than 5, we round down.

    - Example: 3.4 =>3

If the number is greater than or equal to 5, we round up.

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

Please mark Brainliest. It would mean a lot to me.

~An emotional teen who helps others with joy

Good luck.

What percentage is a reduction from SEK 100 to SEK 90?

Answers

Answer:

  10%

Step-by-step explanation:

The change is 90-100 = -10. As a percentage of the original amount, that is ...

  -10/100 × 100% = -10%

The change from 100 to 90 is a reduction of 10%.

Which angle in the triangle with vertices A (4, 4), B (5,6), and C (8,2) is a right angle?

Answers

The triangle does not represent aright-angled triangle

The coordinates of the triangle are given as:

[tex]\mathbf{A = (4,4)}[/tex]

[tex]\mathbf{B = (5,6)}[/tex]

[tex]\mathbf{C = (8,2)}[/tex]

Start by calculating the slopes of the lines that pass through the vertices of the triangles using:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]

[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]

[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB

[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]

[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]

[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB

[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]

[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]

[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC

None of the slopes have the following relationship with another slope

[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line

Hence, the triangle is not a right-angled triangle

Read more about triangles at:

https://brainly.com/question/3189840

PLS HELP SOLVE FOR CROWN BRAINLIST !!!!!

Answers

It's the second one

-40 cuz that's the fee

Answer:

C = 21 + 40t

Step-by-step explanation:

C = initial + variable

The cost, C will be the initial price which is however much money it cost to just print t-shirts for 21 members plus the variable which is the extra 40 for each shirt.

Hope I helped!

Find the nth term for 17,12,7,2

Answers

Answer:

22-5n

Step-by-step explanation:

math need helps i will brainliest

Answers

Answer:

81/256

Step-by-step explanation:

The exponent 4 is meaning how many times you have to multiply a number it is on top of.

So you need to multiply 3/4, 4 times by itself

So

3/4* 3/4* 3/4* 3/4

3 times 3 times 3 times 3 is 81

4 times 4 times 4 times 4 is 256

So the answer is 81/256

Hope this helps!

Given the following graph, where does the line cross the y-axis?

Answers

Y axis is the vertical line
In this case it means what is the y intercept: which is (0, y)

Solution: (0, -4)

Answer:

-4 is where the line crosses the y-axis

Can someone help me with question 8 please this is due tomorrow

Answers

Answer:

New eq: 11x + 1. The line will become steeper.

Step-by-step explanation:

Slope is rise over run. In the original equation, y increased 4 times everytime x increased by one. In the new equation, y increased 11 times everytime x increased by one making it steeper.

the seating capacity of a football stadium is 22,076.if 19,345 tikets are sold out. estimate the number of empty seats.​

Answers

Answer:

about 3000 seats

Step-by-step explanation:

22,076 rounded to the nearest thousand is 22,000 and 19,345 rounded to the nearest thousand is 19,000

when you subtract that you get 3,000

The exact number is 2,731 and when it is rounded to the nearest thousand it is 3000

Explain why 4:6 and 8: 10 are not
equivalent ratios.

Answers

Answer:

Because when 4:6 is simplified, you get 2:3, but when 8:10 is simplified, you get 4:5

So, they are not equivalent ratios because their simplified ratios are not the same.

Step-by-step explanation:

Hope this is helpful.

Since the value of the given ratios are different they can not be said to be the equivalent ratio.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that the two ratios are 4:6 and 8: 10.

Ratios with the same value are said to be equivalent. If we multiply both portions of a ratio by the same number, we can create comparable ratios.

The ratio 4/6 is in the lowest term is 2/3 equal to 0.66

The ratio 8/10 is in the lowest term is 4/5 equal to 0.8

The values of both ratios are different.

Thus, the values of the given ratios are different they can not be said to be the equivalent ratio.

Learn more about the ratio here:

brainly.com/question/13419413

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how many boxes should show on grid for 3/8=18 eggs​

Answers

The number of box is an illustration of proportions

8 boxes must be shown on the grid

The proportion is given as:

[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]

The above proportion means that:

3/8 of the total number of eggs is 18

Let the total number of eggs, be x

So, we have:

[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]

Express 3/8 as a decimal

[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]

Divide both sides by 0.375

[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]

[tex]\mathbf{x= 48\ eggs}[/tex]

This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid

Read more about grids and proportions at:

https://brainly.com/question/23487577

Solve for y.

y − 25 = 11

y =

Answers

ANSWER :

y - 25 = 11

y = 25 + 11

y = 36

Answer:

y = 36

Step-by-step explanation:

y - 25 = 11y = 11 + 25y = 36
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