Select the correct answer. How does the author develop the point that having a single official language will make the country less united?
A. by describing how difficult it would be to convince all Americans to support the idea B. by explaining how non-English speakers will not be able to participate in government C. by illustrating how divided the American people already are concerning language D. by giving statistics showing how many Americans do not speak English

Answers

Answer 1

The author develops the point that having a single official language will make the country less United as option C. by illustrating how divided the American people already are concerning language.

The U.S. has several languages being spoken in its way to various ethnicities. this is because the U.S. has continually been a multilingual state, though this hasn't stopped many states from affirming English as their legitimate language. but, name VI of the Civil Rights Act of 1964 is in the area to guard the rights of men or woman taxpayers who do not communicate fluent English.

Those people already argue approximately language regulations within the U.S. which means that implementing a reliable language will best make matters worse by way of making the nation much less united.

Countrywide language drives country-wide team spirit in any USA even supposing there are hundreds of different languages and dialects present in the state. apart from a call, a boundary, foreign money, or a flag, a national language makes a county first rate. national language sincerely shows the country-wide individual of a country.

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Related Questions

100 points and brainliest if u answer all

In your notebook, answer the following questions to the best of YOUR ability. Answer honestly and truthfully, in complete sentences. Do not worry about being "right."

1. What does it mean to "Quote" someone?

2. Is it important to give credit towards the person(s) you are quoting? Explain.

3. If you had to interview 5 random people, could you do it? Explain your reasoning(s) as to why or why not.

4. What topic(s) do you find interesting that you could interview people about? Explain why they are interesting and list the type of questions you would ask in that interview.

Take a clear picture and submit!

Answers

Answer: what the paper says

Explanation:

1. to write something that has byn said or written by some one else

2. yes it is very important

3 yes i could, i love interviewing people! you get to understand there lives and get to see what they've byn through

4.ive by really interested in psychopaths recently, i would ask them

why do you do what you do.?

what happened to you in the past..?

do YOU consider yourself crazy..?

 

tell me if you want me to write it neater

Identify the subject: About ten minutes ago, your boss called
O boss
O you (implied)
O About
O ten minutes

Answers

Your boss called you about ten minutes ago

QUESTION 6
Which of the following sets of words are NOT synonyms?
O
"Hot" and "Warm"
"Diverse" and "Varied"
"Perilous" and "Hazardous"
"Quality" and "Quantity"
QUESTION 7

Answers

D. “Quality and Quantity”.

quality: how good it is
quantity: how much of it there is

Chuck Arendt writes about the food he eats. He shares his experiences on the Internet. When he eats out, he takes two to four pictures of his meals to go with his writing. He takes them quickly. But some restaurants do not allow customers to take pictures of their food. The flash disturbs other diners. Some writers take 20 shots of one dish. Arendt said that he understands "no flash" rules. He knows that some people take things too far.

Do It!

Photographers can _________ customers.

Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A bother
B attract
C notice
D harm

Answers

Answer is Bother!!!!!!

Select the entire absolute phrase in the sentence.
When got home late, my mother stood waiting for me, her arms folded across her chest.

Answers

Answer:

Explanation:

her arms folded across her chest

Here's/Here are news articles about computers being given to a Brazilian jungle tribe.

Answers

Here are news articles about computers being given to a Brazilian jungle tribe.

What is a computer?

A computer is an electronic device that performs a variety of tasks. This uses a binary system, which contains just two variables: 0 and 1. These two binary numbers serve as the foundation for all encoding and decoding operations. On a computer, a variety of algorithms can be used.

In this particular sentence here will be more appropriate to use as it is talking about a single article about computers and the jungle tribe which will be now present at that particular time.

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Please select the correct present simple verb form.


Samuel _______ basketball with his friends.

Question 1 options:

play


played


plays


player
Question 2 (1 point)
Saved
Please select the correct present simple verb form.


Asher ______ in a large office building in the middle of town.

Question 2 options:

work


works


worked


will work

Saved
Please select the correct present simple verb form.

Mary and Jenny _______ new English words together in the library.

Question 3 options:

learns


are learning


learn


learned

Question 4 (1 point)
Saved
Please select the correct present simple verb form.


I ______ with my grandparents each week on the telephone.

Question 4 options:

talks


will talk


talking


talk

Saved
Please select the correct present simple verb form.


Doris _____ on the beach every morning.

Question 5 options:

walked


walks


walk


is walking

Answers

Answer:

Plays

Works

Learn

Talk

Walks

Explanation:

Samuel plays basketball with his friends.

Asher works in a large office building in the middle of town.

Mary and Jenny learn new English words together in the library.

I talk with my grandparents each week on the telephone.

Doris walks on the beach every morning.

Hope this helps :)

1. Samuel played basketball with his friends
2.Asher works in a large office building in the middle of town

ovement of the progress bor may be uneven because questions can be worth more or less (including zero) dep
Which sentence from the passage is a major supporting detail?
O
Kayla is even thinking about applying for the culinary arts program at
her high school. (Facts About Teen Employment)
O A job can positively affect your future employment. (paragraph 6)
The majority of working teens are employed by restaurants, grocery
stores, and department stores. (Facts About Teen Employment)
Getting a job as a teen tells potential future employers that you have
O initiative, that is, the energy that's needed to do something. (paragraph

Answers

The motion of the progress bar can be choppy because questions may be well worth more or much less Kayla is even considering making use of the culinary arts software at her excessive faculty. (facts about teenager Employment).option A.

Option A

Kayla is even thinking about applying for culinary arts software at

her high school. (facts approximately teen Employment).

Kayla Itsines is an Australian personal teacher, writer, and entrepreneur with a Greek historical past. She is the author of a series of health ebooks titled Bikini frame courses, and a meal-planning and exercising app, Sweat with Kayla. In 2016, Sweat with Kayla generated more revenue than another health app.

Kayla Itsines has introduced that she and her fiancé Jae Woodroffe are awaiting their first baby collectively. it's the second infant for the fitness entrepreneur, who has a daughter, Arna Leia Pearce, three, together with her ex Tobi Pearce.

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Macmillan L
Madeline is a midfielder for her High School soccer team.
Madeline
High School
soccer
No error

Answers

Madeline is a midfielder for her High School soccer team.

If any of the bolded segments has an error, select the answer option that IDENTIFIES the error. If no segments have an error, select "No error."

Madeline

High School

soccer

No error

Complete question

High School is the appropriate response to the following question.

The required details for High School in given paragraph

The final stage of American compulsory education is high school. A high school typically lasts four years, and students must be fourteen years old to enroll. In most cases, obtaining a high school diploma is necessary to enroll in college or university. Each student in a high school follows a different curriculum that is tailored to their learning style and areas of interest.

This implies that they don't follow the same subjects as a set group and instead interact with various pupils in various subjects. This eliminates the need for separate schools and allows for the delivery of education at many levels inside the same institution.

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Which is the best use of commas in a series

Answers

When listing three or more items in a sequence, commas should be used.

Each of the three elements needs a comma between them (it is also acceptable to leave out the comma between the second-to-last item and the last item in the series). Items in the sequence could be single words, phrases, or clauses.

In a list of three or more items, writers frequently debate whether a comma should come before the conjunction. Although not all style guides concur on this matter, we advise placing a comma after the subsequent to last item in a series—the serial comma, as it is known (or the Harvard or Oxford comma).

How should commas be used in a series?

The following are key considerations when employing commas in series: A series consists of three or more things of the same kind (words or groups of words).Before the final item, and, or, or, or connects the series.Items in a series are separated by commas, including the last item that is followed by and, or, or nor.

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Sum one pls help I’m not trying to fail

Answers

Answer: You would tell them good points about the beverage-

Tell them the lemonade is high quality,

and point out good points about the product.

This would help sell the lemonade

Explanation:

Tell them it is a good product and why.

Tell them that the lemonade is amazing.

Say positive things about the lemonade.

The use of emotions helps persuade consumers.

Answer:

No right or wrong Answer

Explanation:

Tell them how good it is and how it's your favorite

A complete sentence must have a subject, verb and be a complete thought.
a. sentence b. fragment

Answers

The activity or state of being in a sentence is expressed by a verb. Depending on the present time, verbs can be represented in a variety of tenses.

What is subject and  verb?

The person or thing about whom the assertion is made, in this case John, is called the subject in a simple English phrase such as John runs, John is a teacher, or John got ran over by a car. Traditionally, the verb in a clause is controlled by a word or phrase known as the subject, with which the verb agrees.

The activity or state of being in a sentence is expressed by a verb. Depending on the present time, verbs can be represented in a variety of tenses. Here are a few instances: Example: Jennifer strolled over to the shop. The verb in this sentence that denotes an action is walked.

A phrase is made up of a group of words that are combined to signify something. The fundamental building block of language, a phrase conveys a full notion. It achieves this by adhering to the syntax's fundamental grammatical norms. For instance, "Ali is walking."

The complete question is,
A complete sentence must have a subject, verb and be a complete thought. T/F

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Anyone explain What is the photography and nature? This is my topic

Answers

Nature photography is a type of photography that captures the beauty of natural elements in their natural environment within a frame. Landscape photography, wildlife photography, and garden photography are all included under this umbrella term.

What does the term "nature" mean in photography?Nature photography is a broad category of outdoor photography that focuses on displaying natural elements such as landscapes, wildlife, manufacturers, and close-ups of wild scenes and consistencies. Landscape photography, wildlife photography, outdoor macro photography, and even abstract photography are all part of the nature photography genre. If you enjoy exploring the outdoors, chances are you'll enjoy taking nature photos as well. Nature photography is an excellent way to share the beauty and wonder of the natural world with those who may not have the opportunity to see a particular subject firsthand. One obvious advantage of the art is that it raises awareness of and empathy for unique landscapes and species.

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proper nouns/concrete nouns

Answers

We can actually deduce here that the proper nouns and concrete nouns are seen below:

1. The sentence that contains the proper noun is:

B.  Doctors Without Borders is a nonprofit organization.

2. The concrete nouns that are in the sentence are:

A. Naomi; judges.

What is a noun?

A noun is actually known to be the name of persons, the name of things and the name of places. In other words, the names of people, things and places actually refer to noun. Nouns are seen in everyday sentence usage.

The different types of nouns that we have are:

Common nounsProper nounsConcrete nounsAbstract nouns, etc.

We see here that in the above sentences, the "Doctors Without Borders" is a proper noun. It is a name of an organization. Proper nouns are known to be names of people or places and their first letters are usually capitalized.

Concrete nouns are nouns that can be felt, seen and touched. Naomi and the judges are concrete nouns because they can be seen and touched.

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"Men climbed eagerly up the gangplank,/
sand churned in surf, warriors loaded
a cargo of weapons, shining war-gear/
in the vessel's hold, then heaved out, /
away with a will in their wood-wreathed ship."
A. I noun I a legal document dividing possessions after death
B. I noun I a deliberate intention or act
C. I verb I to try to make something happen using mental powers
D. I verb I to make a request

Answers

I noun I a deliberate intention or act

The Old English epic poem Beowulf has 3,182 alliterative lines and is written in the manner of a Germanic heroic story. It is among the most important and widely cited works in Old English literature.

The author of Beowulf is unknown. The poem was likely written and transmitted between a number of different poets before it was preserved in a single copy that dates to around 1000.

There are three main themes in Beowulf. These difficulties include the importance of identifying one's identity, tensions between the heroic code and other religious principles, and the distinction between a good soldier and a good ruler.

"Men climbed eagerly up the gangplank,/

sand churned in surf, warriors loaded

a cargo of weapons, shining war-gear/

in the vessel's hold, then heaved out, /

away with a will in their wood-wreathed ship."

The above lines mean On the lake beneath the rocks, men approached in boats. The men were loading the boat and getting ready.

The question is incomplete. The full question is - What is most closely the meaning of will as it is used in the passage below (lines 212-216) of Beowulf?

"Men climbed eagerly up the gangplank, /sand churned in surf, warriors loaded /a cargo of weapons, shining war-gear /in the vessel's hold, then heaved out, /away with a will in their wood-wreathed ship."

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There
is
several
baseball
franchises
including
the
Chicago
Cubs
and
the
St
Louis
Cardinals
that
date
back
to
the
1870s
and
1880s

Answers

There are several baseball franchises dating back to the 1870s and 1880s including the Chicago Cubs and the St. Louis Cardinals.

The South Bend Cubs are a minor league baseball team in the Midwest League and the High A affiliate of the Chicago Cubs. Chicago's baseball history is usually associated with his two major league teams based in Chicago, the Cubs, and the White Sox. Louis and Philadelphia also had two baseball franchises New York had three of them during this time but from each city, he moved one team into his 1950s.

Since the creation of the American League in 1901, only Chicago has had two baseball teams that are the same. A top four member, the Chicago Cubs are well known to fans. The Iowa Cubs remain the team's Triple-A club, Tennessee Smokies Double-A South Bend Cubs, High A Myrtle Beach Pelicans, and Low A. South Bend Cubs owner Andrew Berlin plans to add an upper deck to Four Winds Field.

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why do so many newspaper stories include quotes? Brainpop-Reading a Newspaper

Answers

Many newspaper articles contain ratings. Report accurate representations of opinions, feelings, and resources. The news is that we can do as many things as possible. Quotes also help advance the story. They do not repeat what the journalist has already written in his own voice.

Newspapers are regular e-books containing written information on cutting-edge events and are regularly printed in black ink with stories in white or gray. The most popular media sources are newspaper and magazine articles.

The purpose of the newspaper, if preferred, is to deliver the latest facts or "news" to a specific audience as successfully as possible. Here, scientists can analyze almost all standard knowledge and most modern practices. We are living on the heels of technological advances, government regulations, scientific research, and more. Newspapers also have unusual articles on social issues, culture, art, and more.

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How do the supporting details help
explain the main idea of the article?

Answers

Answer: It basic explains what the authors message is. If you need more ask in the comments.

Explanation: It is what some call the subject. The main idea is the "key concept" being expressed. Details, major and minor, support the main idea by telling how, what, when, where, why, how much, or how many.

Which symbol archetype is most likely represented in this section?

A. darkness
B. light
C. a rising sun
D. water

Here’s the excerpt:

Read the excerpt from The Princess and the Goblin by George MacDonald. Then, use the archetypes chart to answer the question.

One very wet day, when the mountain was covered with mist which was constantly gathering itself together into rain-drops, and pouring down on the roofs of the great old house, whence it fell in a fringe of water from the eaves all round about it, the princess could not of course go out. She got very tired, so tired that even her toys could no longer amuse her.

Answers

A. Darkness ……………….

Darkness is the symbol of the archetype which is most likely represented in this section. Hence, option A is appropriate.

What is the meaning of Darkness?

Darkness is a representation of enigma, melancholy, and terror. However, it can also represent safety for those who employ "the cover of darkness" to avoid being discovered.

Darkness, the opponent of light, has come to represent all that keeps us from God in the religious and Christian experience, as God is light. Light represents discernment, spiritual development, and salvation. However, it is only when we contrast and compare it with the darkness that we can truly understand and appreciate it.

Leo Tolstoy wrote a five-act drama titled "The Power of Darkness." The play was written in 1886, but it wasn't performed in Russia until 1902, mostly due to Konstantin Pobedonostsev's influence. Despite the prohibition, the drama was unofficially staged and repeatedly read. The Darkness is just an elemental force of Chaos as well as Creation that grants his hosts almost endless Demonic power and gives them entrance to an extradimensional realm where they can rule a veritable army of Darklings.

Hence, option A is correct.

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Three sentence with ken and ben .

Answers

Ken and ben are really well known.
Ken and ben are very polite and respectful.
I saw ken and ben at the restaurant down town, they asked if i wanted to eat with them.

explain how Raphael’s School of Athens painting is a “virtual textbook of Renaissance painting, a synthesis of humanism and Renaissance technique”

Answers

The School of Athens depicts all of the classical antiquity's brightest mathematicians, philosophers, and scientists coming together to share ideas and learn from one another.

How is this a synthesis of Humanism and Renaissance Techniques?

These people lived at various periods, yet they are all grouped here under one roof.

It is to be noted that the above picture combined the philosophy of the Renaissance and the intricate ideology of Humanism into one.

In the picture [see attached] the fact that the brightest and most knowledgeable came together under one roof was a virtue of renaissance and humanism.

These bright minds were united by one goal, to seek knowledge and a better society for all.

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What literary and or rhetorical methods does Thoreau use in Diving Deeper into The Ants ?

Answers

Answer: Thoreau uses tone, metaphor, and theme.

Explanation: Thoreu uses metaphorical language to imply that war is futile and a waste of life. The comparisons he makes with nature and humans are often littered throughout his passages.

Thoreau’s tone and theme throughout “The Ants” remains serious and collected, which is reflected by his word choice and the way he talks about his time in nature.

expand on these two paragraphs and you should be set :)

My mother wouldn’t let us go on the rides on the fair. She told us that when she a kid, she knew someone who was hurt on a ride called “The Mixer”. Also, a few years ago she read a story about a fair ride that was stuck in mid-air for over an hour, and just last week there was a story online about the lack of seatbelts for fair rides.

Fair rides have a ______________ for being dangerous because ______________.

A. Burden
B. Despair
C. Dignity
D. Reluctant
E. Reputation
F. Trait
G. Transform

Answers

Based on the given sentences, the words that best complete the sentence is given below:

E. ReputationD. Reluctant (ce)

What is a Sentence?

This refers to the use of words that are employed in order to communicate with a person or group of persons that contains a complete thought and has a subject and predicate.

Hence, it can be seen that when we put in the appropriate words, tehen  the sentence becomes:

Fair rides have a reputation for being dangerous because of reluctance (to fix them or put in the proper safety measures).

With this in mind, it can be seen that the correct answers are options E and D as explained above, as based on the given text, it is stated that the narrator's mother is scared of the rides as the fair and this is because they are dangerous.

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what quoted prove the theme to a drug called tradition by sherman alexie

Answers

“Your past is a skeleton walking one step behind you, and your future is a skeleton walking one step ahead of you”. This statement alongside the other show that they will always be unable to move on to bigger and better things and their Indian culture will continuously be essential for their lives. Alexie grounds the laden persuasion between social rebellion and social hybridity in two uncovering scenes that put the story shamelessly into a contemporary setting of sex and financial matters: in one, the story's storyteller, Victor, contemplates the attractiveness of half-Indian young ladies, and in the other, an enormous company leases land from an occupant of the booking.

“A DRUG CALLED TRADITION” Investigates THE current contact between Local American culture and Western culture through an energetic medication powered experience.

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help meeeeeeeeeee

The raising of plants and animals began about 9000 B.C. in the Middle East. Cultivation probably began in Turkey and northern Iraq. This area was the homeland for seed-bearing grasses from which we get wheat and barley. These were the first plants to be domesticated


You can often tell the meaning of a word by reading the words around it.

Look at the number in parentheses. Find the paragraph in the story with the

same number. Then find and type the word that fits the given meaning:

the acts of preparing land, planting crops, and caring for the

plants (4)

Answers

Answer:If your asking when it occurred then i'll say

Explanation:

10,000 years ago, between the Tigris and Euphrates rivers in Mesopotamia .People collected and planted the seeds of wild plants.

What defines setting

Answers

Answer:

setting is a place or time in a story

Explanation:

the place or type of surroundings where something is positioned or where an event takes place.

"cozy waterfront cottage in a peaceful country setting"


In Japanese mythology, the fox spirits, or kitsune, are intelligent but sometimes mischievous and are fascinated by
humans. They sometimes adopt a human form, especially that of a beautiful woman, to get their way. What archetype
would this kind of spirit be MOST expected to play in a Japanese myth (besides the obvious shapeshifter archetype)?
trickster
O
threshold guardian
O
hero
ally

Answers

The archetype the Japanese mythological character kitsune would play is the trickster, which represents a character that plays jokes and pranks, as seen below.

The archetype of the trickster

Carl Gustav Jung deeply developed the concept of the archetype, including the trickster. An archetype is an image that appears in different cultures and that represents our own feelings and cravings. Among those archetypes, we can have:

The heroThe tricksterThe great motherThe spirit

The archetype of the trickster represents our mischievous side, that part of ourselves that does not want to respect rules, that wants to deceive others, playing pranks and jokes. A trickster is often presented as a character who seems to be a fool, but is in reality smarter than others, since he or she notices and says things that others do not. Tricksters can also come in the form of animals or strange figures that lie and shapeshift in order to get what they want.

That is the case with, for example, the Japanese fox kitsune or the Brazilian Saci Pererê. Therefore, we can choose the archetype of the trickster as the answer.

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Discussion Questions
Directions: Brainstorm your answers to the following questions in the space
provided. Be prepared to share your original ideas in a class discussion.
1. In the context of this text, what can we learn from tragedy? Cite evidence
from this text, your own experience, and other literature, art, or history in
your answer. Orpheus

Answers

It should be remembered that tragedy can be used to show strength and pave the way for new opportunities.

According to authors, when a dramatic performance reaches its conclusion, the audience feels a therapeutic release of sympathy and terror.

A tragedy is what?

In this type of drama, the main character experiences a terrible event that results in death, destruction, and distress.

Since no text was provided, it is clear that the question isn't complete. As a result, a broad response was provided to assist you.

Tragic play offers the spectator the chance to consider events and political, religious, and social ideals.The time period also showed how difficult, painful, and miserable life was for people.

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What's pararphrasing?
A. When a writer restates another author's words in their own way
B. When a writer briefly explains the central idea and main point of a text
C. When a writer includes another author's exact words or phrases
D. When a writer includes short phrases in an outline instead of full sentences

Answers

Answer:

The correct answer is A.) When a writer restates another author's words in their own way

I hope this helps! ^-^

3) What is meant by; The start of it was slight, The end of it was strong,​

Answers

It implied that while the initial problems were minor or trivial they gradually grew in importance.

The statement belongs to Poem The Quarrel by Eleanor Farjeon. The start of it was slight, and The end of it was strong means the beginning was minor, which means it began with small, petty, and easily overlooked issues, but the finish was powerful, which means it eventually became a major concern.

The author tries to say that starting or starting anything would require a very small effort but at the end of it they will be completely drained and left with nothing but a result that one can not imagine and a positive result and it would have been worth trying it because it will teach one everything that they need to know in their life.

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Other Questions
Someone please help me When the equation, ___O2 + ___C 6H 14 ___CO2 + ___H2O is balanced, the coefficient of O2 is: joe wants to allow guests to use his organizations wireless network by providing a preshared key. what solution can he deploy to allow users to access his open network? ad and solve the problems.Dan builds identical model cars and sells themonline. He records the number of models hecompletes every couple of hours. The graph showsDan's data. Choose two pairs of points on the lineand calculate the slopes between them. Is Dan'sproductivity constant? Explain. Blood type is an example of ____________, in which two alleles may be expressed, but neither one may be dominant over the other. Please help I will mark branlist Each of the semicircular canals are in a different ____________ of space, so as fluid flows, it causes a series of reactions that change the pattern of signals carried by the ____________ nerve to the brain. An angle measures 4pi/5 radians. What is this angle's measure in degrees? read an integer >2 from keyboard, for example 25, or 2500. use this number to determine the size of array "myarray," read each distinctive element value one by one from the keyboard, and store/set them in this array. delete its median value (i.e., the element at position "size/2" if the size of array is odd; otherwise, two elements at positions "size/2-1" and "size/2"). (hint: copy wanted elements to another array "x," then use "myarray pleaseeeee I need help...Having finished the novel, interpret and analyze the significance of chapter 21's title, "The Departure". Include examples of how it applies to different characters within the novel. How might dynasties have led to a stable government? The diagram shows a rhombus inside a regular pentagon.Work out the size of angle x. The average U.S. home uses about 11,000 kilowatt-hours (kWh) of electricity per year. Appliances and refrigeration account for about 17% of this total. If electricity costs $0.16 per kWh in a particular area, how much would the average U.S. homeowner pay annually to run appliances and refrigeration? What kind of materials can become electrically charged when they are rubbed together?a.Insulatorsc.Metalsb.Conductorsd.Transition elements A salesperson says to a customer, "the battery on this leaf blower will last for one hour of use. " may the customer sue on an express warranty if the leaf blower dies after 30 minutes of use?. Which of the following lists correctly identifies everything REQUIRED by aerobic respiration?1. Carbon Dioxide, Water, Light2. Carbon Dioxide, Water, Oxygen3. Glucose, Oxygen, Light4. Glucose, Oxygen I really need help on this, tyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy unlow incorporated must choose between two alternate transactions. transaction 1 would generate $160,000 cash, all of which would be taxable, while transaction 2 would generate $120,000 cash, none of which would be taxable. determine the marginal tax rate at which the after-tax cash flows from the two transactions are equal. multiple choice 25% 30% 20% 15% Given: we will explore more this equation. we need to solve this for all masses! you should recognize now that this system of linear equations can be written in a matrix form. we will define the variable