Write the exponential function for the values in the table below.

Write The Exponential Function For The Values In The Table Below.

Answers

Answer 1

Answer:

f(x) = [tex]8^{x}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{512} = 8\\\sqrt[4]{4096} = 8\\\sqrt[5]{32768} = 8[/tex]

which means 8 to the power of 3 will give you 512, to the fourth power will give you 4096.

So the exponential function is f(x) = [tex]8^{x}[/tex]


Related Questions

Which relation is not a function?
A. {(2, 4), (1, 2), (0,0), (-1,2), (-2,4)}
B. {(2,4), (1, 1), (0,0), (-1, 1), (-2,4)}
C. {(2, 2), (1, 1), (0,0), (-1,1), (-2, 2)}
D. {(2, 2), (1, 1), (0,0), (1,-1), (2,-2)}

Answers

Answer: Choice D

Explanation:

We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).

Answer:

the correct is C. because they are lines going to 2.

457x64-(163+208x45) + ( 2820÷20)-1802

Answers

Answer:

18064

Step-by-step explanation:

these equations are always in this order:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".

What is the solution to the inequality -6_5>-29

Answers

Answer:

If it's true or false than it's true.

What is (2x-7y)^2 simplified

Answers

Answer:

4x² - 28xy + 49y²

Step-by-step explanation:

(2x - 7y)²

= (2x - 7yy)(2x - 7y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis

= 4x² - 14xy - 14xy + 49y² ← collect like terms

= 4x² - 28xy + 49y²

14a + 2 =
Please help

Answers

Answer: ( 2 x 7 ) a + 2

Step-by-step explanation:

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

Answers

Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:

[tex]v = \frac{432}{t}[/tex]

[tex]v + 6 = \frac{432}{t - 1}[/tex]

From the first equation:

[tex]t = \frac{432}{v}[/tex]

Replacing on the second equation:

[tex]v + 6 = \frac{432}{t - 1}[/tex]

[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]

[tex]v + 6 = \frac{432v}{432 - v}[/tex]

[tex]432v - v^2 + 2592 - 6v = 432v[/tex]

[tex]v^2 + 6v - 2592 = 0[/tex]

(v + 54)(v - 48) = 0.

The velocity is positive, hence:

v - 48 = 0 -> v = 48 mph.

Red Riding Hood drives 6 mph faster than Wolf, hence:

v + 6 = 48 + 6 = 54 mph.

More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Answer: 54 mph.

Step-by-step explanation:

took the test and got it  correct. edge.

PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

Chad collected 256 M&Ms but lost 5/8 of them on his way to
sehool through a hole in his
bag. When he arrived at school how many M&Ms did Chad have left?

Answers

Chad had 96 M&Ms left when he arrived at school.

Chad initially collected 256 M&Ms.

However, he lost 5/8 of them on his way to school through a hole in his bag.

To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.

If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.

To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:

(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.

Therefore, Chad had 96 M&Ms left when he arrived at school.

In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.

Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.

For similar question on fraction.

https://brainly.com/question/30154928  

#SPJ8

The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?

Answers

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

What is Percentage?

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

To learn more on Percentage, click:

brainly.com/question/626448

#SPJ3

Find the value that makes the equation below true:

6r+7 = 13+7r

Answers

r=-6
just solve for x

Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?

Answers

Answer:

17 hour

Step-by-step explanation:

8+9=17

In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)

Answers

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

The parameters are given as:

[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005

[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines

To model a population, we make use of the following exponential function

[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]

Where P is the current population in t years.

So, we have:

[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]

When the population reaches half of the initial population, then P = 5000.

So, we have:

[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]

[tex]\mathbf{0.5 = (0.997)^t}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]

Rewrite the equation as

[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]

Make t the subject

[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]

[tex]\mathbf{t = 231}[/tex]

This means that the population will halve its initial population in 231 years.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

Read more about population functions at:

https://brainly.com/question/25704773

8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)

Answers

Step-by-step explanation:

sorry that's all i know hehe

5у2х 1.5y
If you could do this asap ty

Answers

Answer:

[tex]2.5y^{3}x[/tex]

Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

1. 0.3, 0.9, 1.5, 2.1

2. 1, 8, 27, 64

Answers

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

What is 3/4 multiplied by 3

Answers

I would say it’s 9/4.

The first three terms of an arithmetic sequence are as follows.

52, 44, 36

Find the next two terms of this sequence.

Answers

Answer: 8

Step-by-step explanation:

Can somebody help ???

Answers

Answer:

2/5, a and b

Step-by-step explanation:

Given: x + 2 < -5.



Choose the solution set.

{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

x < -7

Step-by-step explanation:

Subtract 2 on both sides to get x < -7.

Hope this helps :)

During lunch, Mr. Lee eats a piece of chicken that contains 9 1/9 grams of protein, and Mr. Scott eats a piece of salmon that contains 7 1/7 grams of protein. How much more protein did Mr. Lee eat at lunch?

Answers

Answer:

Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott

Step-by-step explanation:

Find the least common denominator for both fractions.

9: 9, 18, 27, 36, 45, 54, 63

7: 7, 14, 21, 28, 35, 42, 49, 56, 63

Multiply 1/9 by 7/7:

[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]

Multiply 1/7 by 9/9:

[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]

Subtract the two fractions:

[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]

HELP ASAP PLS ….. THIS IS SO CONFUSING

Answers

Answer:

-1/5

Step-by-step explanation:

-0.2

-2/10

-1/5

So just move -1/5 back from 0 .

You just need to divide 1 by the 1/5

which one is the answer? Please i need this quick

Answers

Answer:

Step-by-step explanation:

what is the question

The slope of the line that passes through the points (0,3) and (5,13) is

Answers

Answer: The slope is 2

Step-by-step explanation:

The slope is the Rise (the change in y) over the Run (the change in x).

We can calculate the Rise and Run from the two given points:

(0.3) and (5,13)

Rise = (13 - 3) = 10

Run =  (5 - 0) = 5

Rise/Run = 10/5 = 2:  the slope is 2.

The equation for this line is y = 2x + b.  The y-intercept, b [from the general form y=mx+b (where m is the slope)]  is the value of y when x=0.  The point (0,3) says y=3 when x=0, so b = 3.

y = 2x + 3.

What is the quotient of 9198 and 14?

Answers

Answer:

656.36

Step-by-step explanation:

you just divide then have to round the decimal point to 36

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]

Write the equation of the line described below in point-slope form.

Answers

Answer:

just pay attention dude

Type the missing number in this sequence:
5,
12, 19,
26,

Answers

Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

[tex]5 + 12 + 19 + 26 + 33[/tex]

In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp

Answers

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22

Answers

Answer:

Solution: 2x-6y divided by -24

2x=-24(-6y)

2x=6y-24

x=(6y-24) divided by 2

x=(6y-24)x 1/2

x=6y x 1/2 -24 x 1/2

x=3y-24x1/2

x=3y-12

Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day

Answers

Answer:

38 minutes per day

Step-by-step explanation:

Divide 114 to 3

114 ÷ 3 = 38

Divide 304 to 8

304 ÷ 8 = 38

Answer:

1 day = 38 minutes

Step-by-step explanation:

3 days = 114 minutes

=> 1 day = 38 minutes

=> 8 days = 38 x 8 minutes.

Her rate is 1 day = 38 minutes. Hoped this helped.

Other Questions
explain the preferred observation method. What is the author's purpose for writing the text "Balloon Flight: Past, Present, and Future"?to explain to readers the effect ballooning has had on the space programto describe for readers the details about the earliest balloon flightsto inform readers about how ballooning began and its development over the centuriesto caution readers about the dangers of riding in hot air balloons PlEase help you can edit the photo can anyone complete this for me? if answered correctly ill give u 10+p (brainliest) What was one result of the french and indian war?A.King George III would not let colonists settle west of the appalachian mountainsB.The french fort at louisbourge was returned to the french government C.Frances Canadian fur trade went to the American ColonistsD. All of the french islands in the caribbean went to great britain. Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other. Air is a mixture of (mostly) oxygen (molecular mass 16) and nitrogen (molecular mass 14) gases. At room temperature, which molecules in this room have more kinetic energy (on average) A line goes through the points (8,11) and (-2,7). What is the slope of the line? Show your work. Write the equation of the line in point-slope form. Show your work. Write the equation of the line in slope-intercept form. Show your work. NEED HELP ASAP (WILL GIVD BRAINELST) Which of these makes the best thesis statement?1. In contrast to living in a big city I enjoy living in a smaller town because I have closerrelationships with my neighbors and the pace of life is much healthier.2. I've lived in a small town my entire life and have enjoyed it.3. Living in a big city has many headaches.4. Living in a small town has many advantages in comparison to living in a big city You recently bought something that you have always wanted after saving for a long timeWrite a letter to your friend to tell him or her about your purchase.in your letter you should:=say what you bought and why you wanted it so badly.=say what you did in order to earn money to save;=say what you learned from the experience and how your new purchase has changedyour life.Your letter should be about 150 words long. could someone please help me on one of these and explian to me too? plz show work Which sentence best describes a theme in the story "Thank You, M'am"?Group of answer choiceswill mark brainiestthe need for better childcare options for single parentsthe value of caring for all children, not just those related to youthe way boys tend to want more shoes than they havethe disadvantages of choosing an old lady as a crime victim Why did France and Britain use appeasement to stop Hitler?They wanted to avoid another world war To prevent the fall of the League of NationsPrevent a Nazi invasion of RussiaDidn't want to anger Germans How would I simplify these expressions? (Pre-Calculus) I know that you are supposed to multiply all of these to do so, but every time I do that, I still get the wrong answer. My textbook says that these are the answers:19: -15 + 8i21: 8 + 6i23: 3425: 85Could anyone explain how they got these answers? Mine are way off. Is the book just wrong? In #21, how would 3 times 3 equal 8 in the answer? Am I missing something? Explain why there was a boom in union membership during WW1? Which reason for US entry into the war does this reinforce? 1. I / never / stay / expensive / hotel / before. Which organism carries out autotrophic nutrition the c component of vector a is 5.3 units, and its y component is -2.3 units. the angle that vector a makes with the +x axis is closest to 11016023340250 Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .