Find the average rate of change from x = 2 to x = 6 for the function f(x) = 3^x and select the correct answer below.

180
- 180
- 720
720​

Answers

Answer 1
Answer:  Choice A) 180

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

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180


Related Questions

if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals

Answers

Answer:

[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]

[tex]\frac{8r+8s}{15x-15y} = ?[/tex]

Step 2: Find Unknown

Multiply both sides by 8/15:                    [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply:                                  [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify:                                                   [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

cot? 2x + cos2x + sin’ 2x = csc? 2x
Need help with 40

Answers

Answer:

[tex]\rule{100mm}{0.1mm}[/tex]

    [tex]\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)[/tex]

[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)[/tex]

                               [tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)[/tex]

                    [tex]\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)[/tex]

                                    [tex]\dfrac{1}{sin^2(2x)} =\csc^2(2x)[/tex]

                                     [tex]\boxed{\csc^2(2x)=\csc^2(2x)}[/tex] ✔

[tex]\rule{100mm}{0.1mm}[/tex]

Find the volume of a pyramid with a square base, where the perimeter of the base is
12.8 m and the height of the pyramid is 12.5 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer:

12.5

Step-by-step explanation:

Please help me I beg!

Answers

Answer:

38.9

Step-by-step explanation:

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.4. The probability that there are more than 5 occurrences in ten minutes is:____.a. .0241.b. .0771.c. .1126.d. .9107.The random variable x satisfies which of the following probability distributions?
A. Normal.B. Poisson.C. Binomial

Answers

The options given don't correspond to the values in the question. The options are from another question where mean is 5.3 and the probability being looked for is for exactly 3 occurrences and 5 occurrences

Answer:

A) 0.6511

B) Poisson distribution

Step-by-step explanation:

We are given;

Mean: μ = 5.4 minutes

Now, we want to find the probability that there are more than 5 occurrences in ten minutes.

This will be written as;

P(x > 5) = 1 - P(x < 5)

P(x < 5) = P(x = 4) + P(x = 3) + P(x = 2) + P(x = 1) + P(x = 0)

We will use Poisson distribution for this. The formula is;

P(x) = [(e^(-μ)) × μ^(x)]/x!

P(0) = [(e^(-5.4)) × 5.4^(0)]/0! = 0.004517

P(1) = [(e^(-5.4)) × 5.4^(1)]/1! = 0.02439

P(2) = [(e^(-5.4)) × 5.4^(2)]/2! = 0.06585

P(3) = [(e^(-5.4)) × 5.4^(3)]/3! = 0.11853

P(4) = [(e^(-5.4)) × 5.4^(4)]/4! = 0.16

Thus;

P(x < 5) = 0.16 + 0.11853 + 0.06585 + 0.004517 = 0.3489

Thus;

P(x > 5) = 1 - P(x < 5) = 1 - 0.3489 = 0.6511

B) like seen from solution A above, we used Poisson distribution formula.

Thus, random variable x satisfies Poisson distribution

yall the answer is 0.17 hope this help

Answers

Answer:

I just saw a girl post the nastiest nu!des EVER

Find the perimeter of the polygon if angle B is congruent to angle D.

Answers

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

Answer:

32

Step-by-step explanation:

i did it and got it right

Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?

Answers

Answer:

11 is N

Step-by-step explanation:

Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11

What is the x-and y-intercept of the graph 4x -5y =40??

Answers

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

[tex]4x-5y=40[/tex]

To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:

[tex]-5y=-4x+40[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:

[tex]y=\frac{-4}{-5} x - 8[/tex]

The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].

Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:

[tex]b=-8[/tex]

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:

[tex]0=\frac{-4}{-5} x - 8[/tex]

Add [tex]8[/tex] to both sides of the equation:

[tex]8=\frac{-4}{-5} x[/tex]

You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:

[tex]8=0.8x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:

[tex]10=x[/tex]

Therefore, our x-intercept is 10.

A computer that costs x dollars wholesale is marked up 20% at a store. Which expression represents the final price of the computer?

Answers

Answer: A

Step-by-step explanation: I think sorry

Solve for x. 2x – 16 = -9

Answers

Answer:

x = 7/2

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

2x-16=-9

2x=-9+16

2x=7

x=7/2 or 3.5

Factorise
48x^3-27x

Answers

the answer is 3x(4x+3)(4x-3)

which of the following numbers is a multiple of 4


A. 734

B. 620

C. 626

D. 891

Answers

Answer:

the answer is B

Step-by-step explanation:

*a multiple of 4 means when a number is divided by 4, the answer will be a whole number

* a whole number is a number without fraction and decimal

A. 734/4 = 183.5 ❌

B. 620/4 = 155 ✅

C. 626/4 = 156.5 ❌

D. 891/4 = 222.75 ❌

Answer:

B. 620

Step-by-step explanation:

To find a multiple of 4, simply use the choices to divide by 4 and a multiple should end up with a WHOLE number, meaning there's no decimal or fraction.

You can simply get a calculator and do the following-

734 ÷ 4 = 183.5

⬆️ is NOT the answer because there's decimal

620 ÷ 4 = 155 ✔️

⬆️ IS the answer because it is a whole number

626 ÷ 4 = 156.4

⬆️ is NOT the answer because there's decimal

891 ÷ 4 = 222.75

⬆️ is NOT the answer because there's decimal

And finally, we can check our answer by using 155 × 4, and we get 620. That means 620 is a multiple of 4.

I hope this helps!
Please mark brainliest!
Have a great day!

what is the scale factor between a 100 inch and 70 inch line? provide with answer; there are no options to choose from. ty!!!

Answers

When you find a scale factor you just divide the two. Depends on what the question is asking, but ideally you would just divide 100/70 to get a scale factor and that is about 1.43 if we round

The difference of 2 numbers is 7. The sum of those numbers is 23. What are the 2 numbers?

Answers

Let's write this question as a systems of equations to solve.

x-y=7 (the difference)

x+y=23 (the sum)

Through the process of elimination we get

2x=30

x=15.

With that value of x, we can plug it back into any of the previous equations to get the value of y.

(15)-y=7 (Solve for y)

y=8.

The two numbers are 15 and 8.

Six ice cream bars and four bags of chips cost $13.50. Ten ice cream bars and five bags of chips cost
$20.00. What is the cost for each item sold separately?

Answers

Answer:

For the 6 ice cream bar: $2.25

For the 10 ice cream bar: $4

Step-by-step explanation:

Rhonda's backyard has a rectangular patio that is 12.5 feet long,

Answers

Answer:

34992.66

Step-by-step explanation:

nice to know!

A scooter travels 30 feet in 2 seconds what is the spend of the scooter in feet per second

Answers

Answer:

15 feet per second

Step-by-step explanation:

30÷2=15

Answer:

15 feet per second.

Step-by-step explanation:

30 feet in 2 seconds.

30 = 2x

Divide both sides by 2 so u can leave the x alone, and it gives you 15 = x.

please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.

Answers

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

Can someone help me please

Answers

Answer:

time is Y-axis and gallons is x-axis

how to write exponents

Answers

Answer:

[tex]2\cdot2\cdot2[/tex] = [tex]2^{3}[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]Writing[/tex] [tex]exponents[/tex] [tex]is[/tex] [tex]fairly[/tex] [tex]easy.[/tex]

[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]

[tex]5\cdot5\cdot5\cdot5\cdot5[/tex] = [tex]5^{5}[/tex] [tex]because[/tex]

[tex]there[/tex] [tex]are[/tex] [tex]5[/tex] [tex]fives[/tex] [tex]that[/tex] [tex]are[/tex] [tex]being[/tex] [tex]multiplied.[/tex]

[tex]---------------------------------[/tex]

[tex]Always[/tex] [tex]remember,[/tex] [tex]you[/tex] [tex]don't[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]whole[/tex] [tex]number[/tex] [tex]by[/tex] [tex]the[/tex] [tex]exponent.[/tex]

[tex]---------------------------------[/tex]

[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]

[tex]6^{7}[/tex] [tex]does[/tex] [tex]not[/tex] [tex]equal[/tex] [tex]42[/tex] [tex]because[/tex] [tex]you[/tex] [tex]have[/tex] [tex]to[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]6[/tex] [tex]the[/tex] [tex]number[/tex] [tex]of[/tex] [tex]times[/tex] [tex]it[/tex] [tex]says[/tex] [tex]on[/tex] [tex]the[/tex] [tex]exponent.[/tex]

[tex]Which[/tex] [tex]means[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]six,[/tex] [tex]seven[/tex] [tex]times.[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?

Answers

Answer:

4

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

0.88x4 = 3.52

so take 4

Amanda Wrote a list that contained only multiples of 16. Which of the following lists could be Amanda's list?

A. (1,2,4,8,16)
B (16,32,48,64,80)
C. (16,32,42,64,84)
D. (4,812,16,20,24,28)

Answers

A. Gives factors, not multiples

B. Puts the multiples in the correct order, and the numbers are correct

C. 2 numbers are incorrect

D. WHERE DID 812 COME FROM!?!?

The only logical answer is B.

PLZ HELP FAST

Enter an equation in standard form to model the linear situation.

A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.​

Answers

Answer:

Step-by-step explanation:

it is losing 4 500 every   2 hours. so 2 250 every hour. It will go like 19 000

- 14 500 - 10 000 - 5 500 -  1 000. Then it will lose the rest in less than 30 minutes

Noah painted 3/20 of a fence in 1/2 a day how many days will it take him to paint the entire fence

Answers

Answer:

approximately 7 days

Step-by-step explanation:

20 ÷ 3 = 6.6 repeating, round up to 7 days

Answer:

3days and 8hours

Step-by-step explanation:

he painted 3/20 in 1/2day then

3/20 painted  for 1/2 day =12 hours so

1/20 was painted in 12/3=4 hours

since 20 /20 will be how long will be needed to paint the entire fence

20*4hour = 80hours which is (24*3)+8 that will make

3days and 8hours or

3and 1/3 days

NEED ANSWER ASAP! CORRECT ANSWER GETS BRAINLIEST!

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?

1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hour
3 ⋅ 12 hours

Answers

Answer:

4 hours

Step-by-step explanation:

1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.

10 more than a number w is -2.6

Answers

What kind of question is that? That’s a statement.

Answer:

10 + w = -2.6

Step-by-step explanation:

worms are used to break down food waste and create a soil conditioning compost. Some worm populations double every 3 months. Suppose the formula y=2(2^x/3) represent the pounds of worms in a population after x months. If there are initially 2 pounds of worms, how many pounds of worms will there be in 1 year? If 2 pounds is approximately 2,000 worms, how many worms will there be after 1 yesr?​

Answers

8,000 each three months the population is doubled so i figured that each three months there are 2000 more worms i multiplied 3 by 4 Because 3 x 4 is 12 and a year is 12 months, and got 8,000 by multiplying 2,000 by 4. Hope this helps

which statement is true regarding the graphed functions?​

Answers

Answer:

if -2 refers to the y-intercept "f(-2)=g(-2)" would be correct

Convert 50°F to Celsius.

Answers

the awnser is 10 celcius
50°F to Celsius is:

10 degrees °C

(50°F - 32) * 5/9 = 10°C
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