Determine whether f is an exponential function of x. if so, find the constant ratio

Answers

Answer 1

The constant ratio of the function f is its growth rate

The function f is an exponential function with a constant ratio of 2

How to determine if the function is an exponential function?

To do this, we simply divide the consecutive function values

From the complete question (see attachment for the table), we have:

f(-1) = 1/4

f(0) = 1/2

f(1) = 1

f(2) = 2

Divide the function values to get the ratio, r

r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)

This gives

r = 2/1 = 1 / 1/2 = 1/2 / 1/4

Evaluate the quotients

r = 2 = 2 = 2

The value of r is the same for the three quotients.

Hence, the function f is an exponential function with a constant ratio of 2

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Determine Whether F Is An Exponential Function Of X. If So, Find The Constant Ratio

Related Questions

What is the gcf of the terms of the polynomial −12y4 + 8y3 – 4y2?

Answers

Answer:

4y2

Explanation:

Intersecting chords common core geometry homework answers

Answers

The circle is an illustration of intersecting chords.

The value of x is 4

How to determine the value of x?

From the complete question, the given parameters are:

Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

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Jacob would like to purchase a coat and a hat for a ski trip. the coat is $62. 75 and the hat is $14. 25. if the sales tax rate is 8%, then what will be the amount of tax on jacob’s purchase?

Answers

The amount of tax on jacob’s purchase is $6.16.

What is Tax rate?

Tax rate is simply the ratio at which a business or person is taxed.

To determine the amount of tax on Jacob’s purchase, we simply multiply the total purchase made by the tax rate.

Total purchase by Jacob; [tex]P = 62.75 + 14.25 = 77[/tex]

Sales tax rate; [tex]r = 8/100[/tex]

Hence, the amount of tax on jacob’s purchase is;

[tex]= 77 * \frac{8}{100}\\ \\= 6.16[/tex]

Therefore, the amount of tax on jacob’s purchase is $6.16.

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Math accelerated chapter 11 congruence similarity and transformations answers

Answers

An example of congruence similarity and transformations work is " If the measures of the angles of a triangle are in the ratio 4 : 5 : 9. The triangle is?.

What is right angled triangle?

A right triangle is known to be often called right-angled triangle. It is said to be a triangle that is composed of one angle which is at a right angle and two sides which are said to be perpendicular.

So lets take the angles to  be 4x, 5x and 9x

We add them to be 4x + 5x + 9x =180°

18x=180° =

x= 180/18

x = 18

So therefore the angles are:

4×10°

=40°

5×10°

=50°

9×10°

=90°

So therefore since one of the angle is 90° and as such,  the triangle is right angled triangle.

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When written as y=f(x) a function is said to be defined

Answers

Answer:

Explicity

Explanation:

so when we have a function is y is equal to f of X. Which this is really just saying that it's only dependent on one input. Then these kind of functions are called explicitly defined.

A water balloon is dropped from a height of 144 feet

Answers

Answer:

3 seconds

Explanation:

Make a graph of the possible outputs for the trajectory of the water balloon. Then, solve for x. Doing this, you end up with 3 seconds.

A water balloon is dropped from a height of 144 feet for 3 seconds.

What is water balloon?

A water balloon, commonly referred to as a water bomb, is a latex rubber balloon filled with water that is used in practical jokes, water balloon fights, and other celebrations.

The first water balloons arrived in 1950, despite the fact that rubber balloons have been around since the first part of the 19th century (Michael Faraday created them in 1824 for his experiments).

At that time, Edgar Ellington tried to come up with a fix for the much more serious issue of trench foot. Trench foot is a condition brought on by extended exposure to cold, damp, and unclean circumstances.

Therefore, A water balloon is dropped from a height of 144 feet for 3 seconds.

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How can the rebuttal best address the counterclaim? the rebuttal should include examples of jobs that are available to students and the problems associated with those jobs. the rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work. the rebuttal should address the need for a discussion on the matter by restating both points before reaching a conclusion. the rebuttal should state a logical explanation for both opinions before granting credibility to the need for school to remain a priority.

Answers

Answer:

The rebuttal should acknowledge that school remains

a priority and discuss the benefits of a balance

between school and work.

Explanation:

Answer:

B. The rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work.

Explanation:

edge 2022 <3

Does drying barley seeds in a kiln increase the yield of barley

Answers

Additional experiments might confirm this or they may confirm our current result where we found no statistically significant difference. The mean difference is -33.7 indicating that, in this study, the kiln-dried seeds did increase corn yield by 33.7 pounds per acre.

Answer:

There is no convincing evidence that drying barley seeds in a kiln increase the yield of barley, on average.

Explanation:

Find the probability distribution of the random variable w in exercise 3.3, assuming that the coin is biased so that a head is twice as likely to occur as a tail.

Answers

There are four major types of probability and they include:

classical, empirical, subjective axiomaticWhat is Probability?

This refers to the mathematical depictions of the possibility of an event occurring based on given variables.

Please note that your question is incomplete so I gave you a general overview of a probability distribution.

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If a parent cell has 10 chromosomes, how many chromosomes will be in each daughter cell?

Answers

There would be 10 in each daughter cell

The parents of a little girl who keeps a mare in their backyard agree to take the mare down the road to be serviced by a stallion at a breeding facility. sometime after the mare returns, she develops a thick mucus discharge from her nose and has a swelling under her jaw. this mare should have been vaccinated against

a) strangles.
b) botulism.
c) rabies.
d) potomac horse fever.

Answers

Strangles is commonly seen with discharge from the nose, so that would be the answer.

Years ago, home depot had an annual dividend of $0.90. if you owned 4,000 shares of home depot, how much did you receive annually in dividends?

Answers

Given:

# of shares = 4000

Dividend per share = 0.90

The income by dividends is the product of the number of shares and the dividend per share.

Income Dividends =  # of shares x Dividend per share

4000 x 0.90 = 3600

Over the last 100 years, humans have made great strides in developing technologies that can forecast severe weather before it happens. however, despite the best scientific data and tools available, we are still sometimes surprised by weather. in 2015, an unexpected spring storm produced severe tornadoes in iowa. sometimes—even with computer models and satellite imaging—tornadoes, hurricanes, and other severe storms cause unspeakable damage to communities. do you think humans will ever be able to forecast severe weather with 100% accuracy? what challenges do we face in developing technology that can do so? besides forecasting tools, what other technology is needed to prevent severe storms from causing disasters? do you think all countries have the financial capability to support the development and operation of these technologies? if not, do you think there is an ethical obligation for countries with more financial resources to help poorer countries access these technologies?

Answers

The modern civilization is already able to predict climate conditions with nearly 100% precision.

What is precision in meteorology?

Precision in meteorology makes reference to the ability to predict climate conditions in the median-long periods of time.

The development of technologies to accurately predict climate conditions will largely depend on computer models capable of integrating huge volumes of data.

The main challenge for the development of this type of technology is associated with the impossibility to manage complex climate factors in controlled (experimental) conditions.

In general, developing countries don't have the financial support to develop and sustain this type of technology.

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Symbolism is the use of concrete things to represent

Answers

Answer:

A symbol is the use of a concrete object to represent an abstract idea.

Explanation:

It often occurs when an object, person, or situation represents an abstract idea in addition to a literal meaning.

Mr. reams mixes 12 cups of paint in a large bowl. he uses the paint to fill 40 small dishes with 2 fluid ounces of paint each. how many cups of paint does mr. teams have left in the bowl?

Answers

Mr Reams uses 10 cups of paint to fill the small dishes, therefore, the amount of paints left in the bowl is 2 cups.

How to convert ounces to cups?

He mixes 12 cups of paints in a large bowl.

He uses the paint to fill 40 small dishes with 2 fluid ounces of paint each.

1 small dish = 2 fluid ounces

40 small dishes = 80 fluid ounces

Therefore,

1 fluid 0unces = 0.125 cups

80 fluid ounces = ?

cross multiply

amount of paint filled = 80 × 0.125 = 10 cups

Therefore, the amount of cups pf paint Mr Reams have left in the bowl is 12 cups - 10 cups = 2 cups.

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Leo wants to buy some shoes. he found the shoes at three different stores for a price of $35. the stores are each having a sale.

Answers

Answer:

there is no question

Explanation:

there is no question

Evaluate the indefinite integral as an infinite series. arctan(x2) dx

Answers

The indefinite integral expressed as an infinite series  is;

[tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

How to find indefinite integral?

We will first have to look for the Maclaurin series of arctan(x).

We'll recall that from online tables of integral, this Maclaurin series of arctan(x) will have the general formula;

[tex]arctan(x) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{x^{2n + 1} }{2n + 1}[/tex]

When we apply that general Maclaurin series of arctan(x) to our question of arctan(x²), we have the expression as;

[tex]arctan(x^{2} ) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x^2)^{2n + 1} }{2n + 1}[/tex]

⇒ [tex]= \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1}[/tex]

We now integrate the expression that we got above in the following manner to get;

[tex]\int\limitsarctan(x^{2} ) = \int\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1} dx[/tex]

⇒ [tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

Thus, that expression gives us the indefinite integral of arctan(x²) as an infinite series.

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How are businesses taxed with the corporate income tax brainly

Answers

Businesses taxed with the corporate income tax are done on the profits after deducting all the expenses.

What is a Tax?

This is a levy imposed on taxpayers by government organizations which helps to provide a source of revenue.

Businesses usually taxed with the corporate income tax by deducting all the expenses after profit has been determined.

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Let w be the union of the first and third quadrants

Answers

Answer:

union mean between so the. first n second quadrants are at 180 degree so we will divide my 2 n then get the answer to be 90

You've just created and emailed the financial statements to your boss. what is the next step you should do in the accounting cycle?

Answers

Since you've created and emailed the financial statements to your boss, you should close out the revenue and expense accounts.

What are the steps of the accounting cycle?

In Financial accounting, the steps that are involved in the accounting cycle include the following:

Identifying the transactions.Recording the transactions in a journal.Posting the transactions.Preparing the unadjusted trial balance.Analyzing the worksheet.Adjusting the discrepancies in journal entry.Preparing a financial statement.Closing the books.

Based on the steps highlighted above, we can deduce that the next step you should take in the accounting cycle is to close out the revenue and expense accounts, after creating and emailing the financial statements to your boss.

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What does this passage most clearly reveal about lady bracknell? she believes in the importance of education. she believes in equality among all people. she believes that ignorance is a desirable trait.

Answers

Answer:she believes that ignorance is a desirable trait.

Explanation:

Answer: C

Explanation:

There are 18 mathematics majors and 325 computer science majors at a college. in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?

Answers

Answer:To pick one mathematic major we have 18 way, and o pick one computer science we have 325 ways, so we have 18 * 325 = 5850 ways to make a combination from them.

Explanation:

Lesson 14.1 distance in the coordinate plane answer key

Answers

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

What is the Distance Formula?

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

For example, given the following points on a coordinate plane:

A(2, 3) - (x1, y1)B(5, 6) - (x2, y2)

Using the distance formula, we would calculate the distance as:

AB =√[(5−2)² + (6−3)²]

AB = √[(3)² + (3)²]

AB = √18

AB = 4.2

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Identify the median for the given data? 23, 34, 27, 7, 30, 26, 28, 31, 34

Answers

Explanation:

Arrange from ascending to descending order

7,23,26,27] ,28, [30,31,34,34

median is 28

A state highway commission is considering removing the lane that allows people to pay cash for a toll on a toll road and requiring all people who use the toll road to pay with an electronic transponder that is connected to their car. the commission wants to know whether the proportion of people who live in the northern part of the state and are in favor of removing the cash lane is different from the proportion of people who live in the southern part of the state and are in favor of removing the cash lane. independent random samples are selected from the northern and southern parts of the state. the table summarizes the responses of those surveyed.

Answers

The p-value of the appropriate test to known whether the proportion of people living in the northern part of the state are in favor of removing the cash lane is 0.1432.

What is  p-value?

This is known to be a kind of statistical measurement that is often employed to help to confirm a given hypothesis against the observed data of a scientific experiment.

Note that  the p-value helps use to know the probability of getting the observed result and as such a lower the p-value is greater statistically. Therefore, the use of 0.432 is best for the given experiment above.

See full options below

Which of the following is closest to the p-value of the appropriate test to investigate whether the proportion of people living in the northern part of the state who are in favor of removing the cash lane is different from the proportion of people living in the southern part of the state who are in favor of removing the cash lane? O 0.9429 0 0.0671 O 0.9401 O 0.9329 0.5235 0.1342 0.8912 0 0 1132

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List the sample space in the given experiment how many outcomes are possible brainly

Answers

The sample space of the experiment is the elements in the set

The sample space {Head, Tail} and there are 2 outcomes in the sample space

How to determine the sample space?

From the complete question, the experiment is a toss of a coin

A coin has a head and a tail.

So, the sample space (S) is:

S= {Head, Tail}

The number of outcomes in the above sample space is 2

Hence, the sample space {Head, Tail} and there are 2 outcomes in the sample space

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Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. after taking the sixth quiz, brooke’s mean score increased. which could be brooke’s sixth quiz score? select three options.

Answers

Answer:

b, d , e

Explanation:

Suppose that we have this spinner. what is the probability of landing on 4 after landing on 4?

Answers

The probability that the spinner lands on 4 is its likelihood

The probability of landing on 4 after landing on 4 is 1/n^m

How to determine the probability?

Assume that the numbers on the spinner are not repeated, the probability that a spinner lands on 4 is:

P(4) = 1/n

Where n represents the number of sections on the spinner

The probability that the spinner lands on 4 again is the same for the number of times the spinner is spun

Hence, the probability of landing on 4 after landing on 4 is 1/n^m where m represents the number of spins

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The excerpt is from hisaye yamamoto’s story "morning rain," published in 1952. this passage depicts a family conversation. read the passage carefully. then, in a well-written essay, analyze how yamamoto uses literary elements and techniques to convey the ways in which the communication among sadako, mr. endo, and harry reveals their complex relationships.

Answers

Yamamoto uses literary elements such as flashback and paradox to list or show  the language barrier that was said to exist between Mr. Endo, his son-in-law and the other parties involved.

What was the literary elements used in the passage about?

In the excerpt, Yamamoto was said to have make use of flashback and paradox so as to show the language issue that did exist between Mr. Endo and that of his son-in-law.

He also uses the element to show the generational divide that is said to have existed between Sadako and her father, thereby showing the strained in terms of their relationships in the family as a result of lack of communication.

Conclusively, The paradox also tell about the physical hindrances that lead to the issue or wide gap in their relationship.

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There are 12 of the zodiac. how many people are needed to guarantee that at least six of these people have the same sign? your answer must be one integer.

Answers

Answer:es, the answer is 61. This is related to a mathematical principle called the Pigeonhole Principle, which states that if you are trying to sort  n+1  objects into k sets (where nk=r;n,k,r∈Z+), at least one set must contain at least r+1 objects. (This can be proven by proof by contradiction, but is pretty standard and so generally can just be used as justification of an answer by itself.)

For your problem, you have 12 signs of the zodiac - these are your 12 sets (so k=12). You are looking to find how many it takes before a set contains 6 objects (so r+1=6 and thus r=5). Therefore, n+1=r×k+1=12×5+1=61.

Explanation:

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