What is the inverse of the function f(x)=1/3x-2

Answers

Answer 1
To find the inverse of a function you switch the x and y terms.

First you want to rewrite it in terms of x and y. y=1/3x-2

Then switch x and y. x=1/3y-2

Then solve for y. x+2=1/3y
3x+6=y

Then rewrite as a function using correct notation f^-1(x)=3x+6
Answer 2

The inverse of the function F(x) = 1/(3X-2) is:  [tex]F^{-1}[/tex](x )=3x + 6. See below for steps on how to arrive at the inverse of the above function.

What is the inverse of a function?

The inverse of a function is a function that returns the original value for which the output of a function was given. The Inverse of the above function - F(x) = 1/(3X-2) is solved s follows:

First Step - Rewrite the Original Function in terms of x and y.

This translates to  y = 1/(3x - 2)

Step 2 - X and Y

That is x = 1/(3y - 2)

Step 3 -  Cross multiply to equate the formula to Y then solve.

That is,  

x + 2 = 1/3y

that is y = 3x + 6

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Related Questions

Which is a characteristic of a novel? Novels have only a few characters. Novels have simple, straightforward themes (and few of them). Novels are filled with great and specific detail. Novels always feature villianous characters.

Answers

Novels are filled with great and specific details
Great detail is correct have a great day.

what is animalism as the way it's discussed in animal farm

Answers

The animals have human traits.

Animalism in 'Animal Farm' symbolizes a socio-political doctrine of equal rights, originally aimed at creating a fair society for all animals in George Orwell's allegory. However, the concept is corrupted by power, leading to an unequal society under the guise of equality, famously summed up by, "All animals are equal, but some animals are more equal than others."

In Animal Farm, animalism refers to a doctrine that advocates for equal rights and fair treatment of animals. It is an allegorical construct that represents communism and socialism as seen in the Russian Revolution. The animals in the story, led by the pigs, revolt against the oppressive farmer, Mr. Jones, to establish a new society based on equality. However, this society is eventually corrupted by greed, and a new maxim arises: "All animals are equal, but some animals are more equal than others." This reflects how original principles of freedom and justice can be subverted by those in power. The concept of animalism also draws parallels with the broader social movement towards ethical treatment of animals. Influential works like Upton Sinclair's The Jungle highlighted the need for consideration of non-human interests within human societies. Yet, Animal Farm critiques how revolutionary ideals can be compromised when the leaders, like the pigs, become indistinguishable from the oppressors they overthrew. The interplay between these values and the eventual betrayal of the animalist principles forms a central theme of George Orwell's novel, reflecting on the dangers of power and the fragility of utopian visions.

Read the passage.

Edgar Allan Poe

The great American writer Edgar Allan Poe is known for his haunting poetry and his literary criticism. His skill as a critic had great influence on the writing of his time; it also earned him enemies. Poe led a life that can only be described as tragic, yet he left an indelible mark on American literature.

Considering its tone and language, who would be the most likely audience for this passage?


elementary students

newspaper readers

a friend of the writer

high school students

Answers

Answer: D) high school students.

Explanation: In the given passage we can see a brief summary of who was Edgar Allan Poe, his life and his influence in the American literature. Considering its tone and language (it uses formal but simple language, with an also formal tone, and we can see the passage has the function of teaching about Edgar Allan Poe's life) this excerpt is most likely address to high school students.


according to Mary C. lamia what is fear

Answers

According to Mary C. Lamia, fear is an emotional response to an immediate danger.

Describe a situation in which indirect communication is used effectively.

Answers

Final answer:

Indirect communication can be effectively used in various situations, such as cultural differences and workplace settings.

Explanation:

Indirect communication can be effectively used in various situations, such as when cultural differences exist. For example, in Japan, making direct eye contact is considered rude, so indirect communication techniques like using subtle facial expressions and body language become important. Another situation where indirect communication is effective is in workplace settings, where a polite and diplomatic approach is valued. By balancing straightforwardness with indirectness, effective communication can be achieved.

which theme is reflected in this poem by countee cullen

Answers

Here is the poem:

For a Lady I Know

She even thinks that up in heaven

Her class lies late and snores

While poor black cherubs rise at seven

To do celestial chores.

And i'm pretty sure the answer is: A: social class and discrimination

Let me know if this is right and mark me brainliest!! :)

Answer: social class and discrimination

Explanation:

Theodore Roosevelt the twenty-sixth president of the United States was the youngest president to ever hold office.Which revision of the sentence is now properly punctuated?

Answers

Theodore Roosevelt, the twenty-sixth president of the United States, was the youngest president to ever hold office. 
This is properly punctuated.
Mark brainliest if this helped!

Answer:A

Explanation:

Read the excerpt from This Land Was Made for You and Me.

On March 3, 1940, Aunt Molly Jackson led off the evening at the Forrest Theater. The wife of a leading coal striker, she’d been organizing the miners and writing songs about the abysmal conditions of the Kentucky mines until death threats forced her to relocate to New York City.

Which statement best summarizes the connection between Jackson’s life and her music?

She was asked to perform first because her songs were better than the other musicians’.


She started the performance because she was the wife of a leading coal striker.


She relocated to New York City because her songs led to death threats against her.


She hoped her songs would inspire miners to continue to work in the mines despite the conditions.

Answers

The statement that best summarizes the connection between Jackson’s life and her music is: She hoped her songs would inspire miners to continue to work in the mines despite the conditions.

In the text, you can read this relation between organizating the miners and writing songs as both actions are part of the same sentence: "she’d been organizing the miners and writing songs about the abysmal conditions of the Kentucky mines".

The sentence "The wife of a leading coal striker" is just a description of the character, a sentence that will help you understand her background.

The fact that she had to go to New York is just a consecuence of the movement she was leading.

But the real connection between her cause and her music is the intention of inspiring miners.


Read the excerpt from E.O. Wilson’s “The Environmental Ethic.” Species are disappearing at an accelerating rate through human action, primarily habitat destruction but also pollution and the introduction of exotic species into residual natural environments. I have said that a fifth or more of the species of plants and animals could vanish or be doomed to early extinction by the year 2020 unless better efforts are made to save them. . . . As the last forests are felled in forest strongholds like the Philippines and Ecuador, the decline of species will accelerate even more. In the world as a whole, extinction rates are already hundreds or thousands of times higher than before the coming of man. They cannot be balanced by new evolution in any period of time that has meaning for the human race. What message does the author convey in this excerpt? Humans need to take action to end further destruction of the natural environment. In the coming years, humans will put forth stronger efforts to save plants and animals. The extinction of plant and animal species is problematic in the Philippines and Ecuador. In recent years, the extinction rate for many animal species has significantly increased.

Answers

E.O. Wilson's excerpt highlights the urgent need for conservation efforts to halt the accelerating rate of species extinction caused by human activities, emphasizing the irreversibility of extinction and the inability of evolution to compensate in a human-relevant timeframe.

The excerpt from E.O. Wilson's "The Environmental Ethic" delivers a stark message about the current rate of species extinction and the role of human activities such as habitat destruction, pollution, and introduction of exotic species in this crisis. Wilson warns that a significant portion of the world's biodiversity, including plants and animals, could disappear or become critically endangered by the year 2020 if drastic conservation efforts are not undertaken.

The author underscores the urgency of this environmental issue, particularly emphasizing the situations in the Philippines and Ecuador, where rapid deforestation is leading to an accelerated decline in species. Furthermore, Wilson makes it clear that the current rates of extinction are unprecedented and cannot be balanced by new evolution in any time frame relevant to humanity. Thus, the primary message conveyed is the imperative need for humans to take immediate action to preserve biodiversity and prevent further environmental degradation.

1. However, one of my favorite things about the house is my new room.
2. The walls are ocean blue with a mural of a surfer.
3. Also, my own bathroom adjoins my surfer's paradise.
4. My parents and I are moving to a new house at the end of this month. 5. There are many aspects of the place that I like.

Read the sentences and determine the MOST logical order for the numbered sentences.
A) 3,1,2,5,4
B) 4,2,3,1,5
C) 4,5,1,2,3
D) 5,4,1,3,2

Answers

The correct answer is c
C is the right option

Which rocket did they launch today?

Which word is the direct object
A) launch
B) they
C) which
D) rocket

Answers

D) rocket should be your answer

If you change the question a bit, it can be asked as:

What did they launch today? - A rocket

Which means that Rocket should be your answer

hope this helps
Heyy,

The correct answer is D) Rocket!!

Hope this helps!!

~Girlygir101~

In “Heat,” which symbolic importance or meaning does the wind take on?

A. The wind represents chaos and disorder, which the speaker fears and wants to avoid.

B. The wind represents new life, which can grow thanks to the heat of the sun.

C. The wind represents being rescued from a feeling of being overpowered.

D.The wind represents change, specifically the speaker’s desire to change her life.

Answers

The correct answer is D) the wind represents being rescued from a feeling of being overpowered.

The symbolic importance or meaning of the wind in “Heat” is that the wind represents being rescued from a feeling of being overpowered. The author refers to the wind as “Wind, red open the heat, cut apart the heat, rend it to tatters.” The wind is like the hope for change.

The poem “Heat” was written by Hilda Doolittle (1886-1961). She was an American poet and novelist, considered part of the Imagist, a movement of poets that supported the clarity of language and imagery. Among her famous poems, we find “The God”, “Translations”, “Trilogy”, and “By Avon River”.  

Which statement supports the idea that Jennings had an eventful life?

- "Paul Jenning's story begins in Virginia."
- "When Mr. Madison died in 1836, Jennings was still enslaved."
- "In 1848, Jennings played a quiet role in a bold plan."
-"None of those people had traveled as far as Jennings, though...."

Answers

Neither option 1 or 2 shows that Jennings' life was eventful. Where his story begins and that he was enslaved do not give any indication his life was eventful. Even though option 3 says that he had a role in a bold plan, I wouldn't choose this either. His role was quiet. However, option 4 infers that Jennings has traveled to many places which makes his life seem eventful. Therefore, option 4 is correct.

Aunt Agatha says that Gussie "'has lost his head over a creature." How do these words reflect her feelings for Gussie?


They show her concern that Gussie is always buying pets.
They show her concern that Gussie likes America too much.
They show her disdain for Gussie's lack of self-control.
They show her disdain for Gussie's sense of friendship.

Answers

When you say that someone has lost his head over something it means they have an obsession towards that thing. Liking something too much is a form of obsession. So the feelings projected by Aunt Agatha is a concern that Gussie likes America too much. 

Answer:

What these words reflect about the feelings of Aunt Agatha for Gussie is that They show her disdain for Gussie's lack of self-control.

Explanation:

Aunt Agatha is a strong character who wants to make his nephews to marry women that according to her beliefs are worthy and won't dishonor the name of the family, that's the reason why she shows her disdain toward Gussie's feelings since the woman he has fallen in love with is not what Aunt Agatha would expect.

all of the following are excellent tips for preparing for standardized test except
A. Take advantage of a sample test
B. Don't worry about preparing for pretest
C. Devote time every week to study for the test
D. Spend extra time focusing on subjects that you feel less confident in

Answers

Answer:

B. Don't worry about preparing for pretest.

Explanation:

Preparing for a standardized test can be nerve-wrecking and daunting, but it can also be a simple matter of determination, preparation, and organization. For this reason, one should study for the test every week and develop the topics where one lacks confidence or knowledge so as to gain control of the contents of the test. In preparation for these kinds of exams, one should take advantage of sample tests readily available and, above all, one should prepare for pretests so as to evaluate how well one has actually prepared for the test and if the results should be negative, spend extra efforts in the time left to prepare for the actual exam.  

The school is considering mandatory school uniforms; if this goes through, it will enforce useless limitations that trample the creative and expressive growth of our community's youth.
What type of fallacious argument is this?


straw man

false cause and effect statement

false premise

loaded language

Answers

Its d. loaded language

D: loaded language

look closely at the individual words of the argument to determine where the obvious bias originates.

definition of these words

Answers

A person or company offering something for sale
1. a person or organization that puts money into financial schemes, property, etc. with the expectation of achieving a profit.
2. a person or company whose principal product lines are office supplies and equipment.
3. a pilot.
4. action of spoiling, especially the deterioration go food and perishable goods.
5. condition or circumstance that puts one in a favorable or superior position.
6. the attitude or practice of accepting a situation as it is and being prepared to deal with it accordingly.

DON"T ANSWER JUST FOR POINTS GIVE ME A RIGHT ANSWER THANKS!

What do the stage directions (bowing a little distantly) reveal about the character of Peter Stockmann?

A) He is courteous, but cold, to Hovstad.

B) He is pompous and vain pretending to be something he is not.

C) He is a man of ceremony and tries to show others how to behave.

D) He is unsure of his role in this house, and so he hesitates as he greets Hovstad.

Answers

b. he is pompous and vain pretending to be something he is not

The correct response is - He is pompous and vain pretending to be something he is not. Therefore option B is the correct response.

Who is Peter Stockmann?

Stockmann, Peter's Elder brother of the Doctor, mayor of the town, chief of police, and chairman of the baths committee. Theodore Kiil a tanner and the adoptive father of Mrs. Stockmann. Hovstad The "People's Messenger's" editor.

Morten and Eilif, Stockmann's two young boys, have joined him for a stroll. The unexpected visitor is Dr. Stockmann's brother, Peter Stockmann, the town's mayor. He makes a grand speech about the town's recent economic boom following the opening of the baths, a health resort for bathing.

The individual must submit to society, or more specifically, to the authorities whose job it is to look out for society's welfare, he tells Dr. Stockmann. So, he is the one who reacts in fear.

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2. Failure to properly cite your sources in a research paper can lead to accusations of _____________.

A. plagiarism
B. slander
C. infringement
D. libel

Answers

the answer is plagierism

We can see here that failure to properly cite your sources in a research paper can lead to accusations of A. plagiarism

What is plagiarism?

Plagiarism refers to the act of using someone else's work, ideas, or words without giving them proper credit or acknowledgement. It involves presenting someone else's intellectual property as your own, whether it's a written document, a speech, artwork, music, or any other form of creative expression.

To avoid plagiarism, it is essential to properly attribute and cite all sources used in your work. This includes providing in-text citations for direct quotes and paraphrased information and creating a comprehensive reference list or bibliography at the end of your document.

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Which word is the indirect object in the sentence? Frank bought me a NASA guidebook for future reading

Answers

the answer should be "me"
Hello,

Here is your answer:

The proper answer to this question is "Frank". That's because a indirect object follows on a direct object which is the verb and a verb is a person, place, or thing!

Your answer is Frank!

If you need anymore help feel free to ask me!

Hope this helps!

Little did I know at the time that signing up for little league at the age of six would end up changing my life. After ten years of experience playing the sport and now as captain of our high school baseball team, I’ve learned what it means to work as a team, to persevere in working toward a common goal, and to play fairly. I am excited to study physical education so that I can one day coach a baseball team of my own.

Read the sample personal statement, and then answer the questions.

What is the topic?



What is the writer’s point of view?

Answers

From evaluating the given sample personal statement, an appropriate topic would be "Why I chose to study Physical Education".

The writer's point of view is the First person point of view. This is evidenced in the fact that the writer is writer is writing about himself/herself, uses personal examples, and primarily makes use of the pronoun “I.”

Answer:

reflecting on past experiences

enthusiasm about studying physical education

Explanation:

Can someone come up with a symbolism that represent smart

Answers

Do you need a human symbolisim or non human?

If yourbrefrring to a human, you could say they had oversized glasses and carrys around a book/books.

Non human could be an owl as they represent wisdom or a library filled with books in someones house.

Just to give examples.
Final answer:

Common symbols that represent being smart or intelligence include the lightbulb for ideas, the owl for wisdom, and books for education and knowledge.

Explanation:

Symbolism is a powerful tool for representing abstract concepts, and to symbolize intelligence or being smart, a variety of imagery can be employed. Common symbols include the lightbulb, symbolizing a bright idea or sudden insight, and the owl, which represents wisdom and knowledge. Another potent symbol for intelligence is a book, which signifies education and the quest for knowledge. In the realm of mythology, the goddess of wisdom is often depicted with objects like an owl or a book, further reinforcing the connection between these symbols and intellectual prowess.

Which is an example of trochaic tetrameter? A. "Friends, Romans, countrymen" B. "Double, double, toil and trouble" C. "Of this dead butcher and his fiend-like queen" D. "If music be the food of love, play on"

Answers

The answer here is B "Double,double, toil and trouble."  This is an example of trochaic tetrameter from Macbeth.

Which of the following words typically has a negative connotation?
A. Slight
B. Thin
C. Slender
D. Skinny

Answers

Thin is typically a negative connotation because it is seen as a weakness. 
I believe the answer is the last one. D. Skinny!

Exposition, rising action, climax, falling action and resolution are all components of _____.
A.plot structure
B.literary definitions
C.foreshadowing
D.denouement

Answers

Exposition, rising action, climax, falling action and resolution are all components of...

A.plot structure 
I believe the answer would be A. Plot Structure. Hope this helps!

10.before reading, graphics can be helpful with
A. choosing effective words
B. scanning
C. Establishing Tone
D. Reading

Answers

10.before reading, graphics can be helpful with

A. choosing effective words

If you wanted to add a sentence after the first sentence of this paragraph, for the purpose of clarifying concepts and providing detail, which would be the most appropriate? A) Science, however, makes these reactions irrelevant. B) Of course, some of us just like to take long walks on the beach, instead. C) We love going on these rides because we crave the excitement of an adrenaline rush. D) Most roller coasters are safe to ride; however, there have been accidents in the past.

Answers

I belive it will be c because some peolpe love the rush adrenaline

Answer:

The answer is C. I did it on usatestprep

Explanation:

7.Why does the town interpret the A in the sky to stand for Angel, based on Chapter 12 of The Scarlet Letter?

A. The town believes that they're being punished for being so immoral, and an angel has come to save them.
B. The town sees the A as an angel who is sent to bring them penance.
C. Governor Winthrop had died that evening, so they believe the A stands for the angel into which he was turned.
D. They feel that an angel is watching over their town because of all the sinning that has taken place.


8.What lie does Hester tell Pearl about her scarlet letter in Chapter 16 of The Scarlet Letter?

A. Hester tells Pearl that it is the mark of the Black Man.
B. Hester tells Pearl that she was selected by the town to wear the letter as a reward for being so pure.
C. Hester tells Pearl that she has always worn the scarlet letter, even since birth.
D. Hester explains to Pearl that it's a great honor for her to wear the letter.

9.What effect does Dimmesdale's confession have on Chillingworth, as explained in the conclusion of The Scarlet Letter?

A. He is rejuvenated by Dimmesdale's confession, and experiences better health.
B. He is crippled by the weight of Dimmesdale's confession, and withers away and dies within a year.
C. Chillingworth commends Dimmesdale on his honesty.
D. Chillingworth is so embarrassed by Dimmesdale's confession that he leaves Salem for England.

10.What is the best description of Roderick Usher’s character based on the following passage:

“He suffered much from a morbid acuteness of the senses; the most insipid food was alone endurable; he could wear only garments of certain texture; the odors of all flowers were oppressive; his eyes were tortured by even a faint light; and there were but peculiar sounds, and these from stringed instruments, which did not inspire him with horror.”

A. Usher is a joker, and playing tricks on the narrator.
B. He is a tortured man, plagued by man peculiar habits.
C. Usher is very friendly and fun to be around.
D. He is shy, and afraid of people.

11.What is the significance of Reverend Dimmesdale saying, "Come hither! Come, my little Pearl!" in Chapter 23 of The Scarlet Letter?

A. It's the first time that Pearl ever meets him.
B. It's his public confession that Pearl is his daughter.
C. It's the first time he has spoken to the child.
D. It's his punishment for Pearl for ignoring him for so long.

12. How can the reader tell that Goodman Brown has been changed by his experience in the woods, based on the following description:

“Turning the corner by the meeting-house, he spied the head of Faith, with the pink ribbons, gazing anxiously forth, and bursting into such joy at the sight of him that she skipped along the street and almost kissed her husband before the whole village. But Goodman Brown looked sternly and sadly into her face, and passed on without a greeting.”

A. He doesn’t recognize her, so the reader knows something happened to his mind.
B. He is crying, so the reader can see how shaken he is by the events in the woods.
C. He kisses his wife for the entire village to see, which he would not have done, previously.
D. He ignores his wife, whom he had been in love with before he left.

Answers

7. C.Governor Winthrop had died that evening, so they believe the A stands for the angel into which he was turned.
- they believed that the governer turned to an angel and was watching over them.
8. A. Hester tells Pearl that it is the mark of the Black Man.
- she believes that pearl is to young to understand things that's why she tell her that lie.
9. B.  He is crippled by the weight of Dimmesdale's confession, and withers away and dies within a year.
10. D. He is shy, and afraid of people.
- he shows one must live within the shadows and do not mingle with living things.
11. B. It's his public confession that Pearl is his daughter.
12. C. He kisses his wife for the entire village to see, which he would not have done, previously.

Answer:

Explanation:b

I dwell in possibility-
A fairer House than prose-
More numerous of windows-
Superior-for doors-
Whats the effect of the extended metaphor in the passage

Answers

The metaphor shows the exaggeration and expression of how much the author he is describing the house

Which of the following quotes indicates added text?
A) Don Tapscott said, "Just as the Internet drops transaction and collaboration costs...it also drops the cost of dissent, of rebellion, and even insurrection."
B) Don Tapscott said, "Just as the Internet drops transaction and collaboration costs, [sic] also drops the cost of dissent, of rebellion, and even insurrection." C)Don Tapscott said, "Just as the Internet drops transaction and collaboration costs...it [the Internet] also drops the cost of dissent, of rebellion, and even insurrection."
D) Don Tapscott said, "Just as the Internet drops transaction and collaboration costs in business and government, it also drops the cost of dissent, of rebellion, and even insurrection."

Answers

The correct answer is C) Don Tapscott said, "Just as the Internet drops transaction and collaboration costs...it [the Internet] also drops the cost of dissent, of rebellion, and even insurrection." 

We know that the part [the Internet] was added to this sentence because of these brackets: [ ]. That type of brackets is used when you want to include a word or a phrase that didn't appear in the original quotation in order for it to make more sense in your writing. 

Answer:

The one with [internet]

Explanation:

Took the test

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To mix the ingredients in un cocido, what must the cook do to them? Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south. Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block. Finally, she turns left and walks 5 blocks. What direction is she facing when she is done? Which had the greatest influence on franklin roosevelts vctory in the 1932 presidential race? Psychologists who view the developmental process as a sequence of distinct stages generally believe that Part of preforming routine computer maintenance includes What is the mode for the following set of data?5, 7, 9, 11, 13, 1389.71013 What tanks were used by the germans in ww2 in the blitzkrieg on poland? Which Chinese Warring state used military might to conquer the other Warring states and unify China in 221 BC?A. HanB. QinC. ShiD. Xian Property Expected from Muscle Fibers..? Find the solution of the differential equation that satisfies the given initial condition. du/dt = (2t+sec^2t)/2u, u(0) = -3 Retype the sentence below and include all appropriate punctuation. the well known actress accepted the award Norman plans to enter business as a freelance DTP publisher. His DTP setup is a non-Apple Macintosh platform. He has several options for printers. Which type of printer would you recommend to him?________ printers are ideal for DTP projects that work on a non-Apple Macintosh platform. fill in the blank help pleaseeeeThe architect considers many aspects when he designs a house. If one had to name just one aspect that would sum up all these considerations, it would be _____.economyflexibilitylivabilityhouse size Your grandparents would like to establish a trust fund that will pay you and your heirs $200,000 per year forever with the first payment 11 years from today. if the trust fund earns an annual return of 3.9 percent, how much must your grandparents deposit today? A lawyer who is interested in understanding why most justices ruled in a particular way in a Supreme Court case should consult the case's _____. A.concurring opinion B.majority opinion C.appellate opinion D.dissenting opinion Which could be the function graphed below?A. f(x)=x-2B. f(x)=x-3+1C. f(x)=2x+4D. f(x)=x+1+8 10. Does the table represent an exponential function? Explain why or why not.x 1 2 3 4y 2 8 32 128I REALLY NEED HWLP WITH THIS After learning that her two best friends had lost their jobs, mariah began to grossly overestimate the national unemployment rate. mariah's reaction best illustrates the consequences of: What is the correct chromosomal condition at prometaphase of mitosis? Trees do not move like birds do but they are living things. why