Which sentence below uses the correct form of the pronoun? (HINT: each pronoun should make sense in the sentence on its own) A. Brenda gave the plane tickets to he and we. B. Don't leave without letting he and Jamie know where you're going. C. They and her loved the rush they got from the speeding roller coaster. D. As the roller coaster started to move, a sinking fear fell over her and him.​

Answers

Answer 1

D. A sinking fear descended upon her and him as the roller coaster began to move makes use of the appropriate pronoun.

What exactly is the pronoun rule?

There are three types of pronouns: nominative (I, you, he, she, it, or they), possessive (my, your, his, her, or their), and objective (me, him, her, him, us, them). When the pronoun is the subject of your sentence, use the nominative case, and always start a statement with the other person's name.

How many different pronouns are there?

The Seven Different Pronoun Categories. The personal pronoun, the demonstrative pronoun, the interrogative pronoun, the relative pronoun, the indefinite pronoun, and the reflexive pronoun are the seven sorts of pronouns that writers in both English and English as a second language must understand.

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Related Questions

Write a story to illustrate the statement that ‘Never rush in life’

Answers

Answer:

Once upon a time, there was a young man named Jack who was very ambitious and eager to achieve success quickly. He had big dreams and wanted to achieve them as fast as possible. One day, he saw a friend of his who was doing very well in his business and seemed to be making a lot of money. Jack wanted to do the same, so he decided to invest all his savings into a new business venture that he thought was guaranteed to succeed.

He rushed to set up his business, taking shortcuts and not paying attention to important details. He didn't take the time to conduct proper market research or plan his strategy carefully. He just wanted to get started and make money fast.

Unfortunately, things did not go as planned. His business failed within a few months, and he lost all his money. Jack was devastated and felt like he had hit rock bottom. He had rushed into things without thinking them through, and it had led to his downfall.

As he looked back on his experience, Jack realized that he had made a huge mistake by rushing into things. He had failed to take the time to plan, research, and strategize properly, which had led to his failure. He learned that it was important to take the time to do things right, even if it meant taking a little longer to achieve his goals.

From that day on, Jack decided to take his time and not rush into things. He learned that success was not just about achieving your goals quickly, but about doing things the right way and taking the time to plan and prepare. With this new perspective, he began to take small but deliberate steps towards his goals, and eventually achieved the success he had always dreamed of.

What is the author’s main purpose in discussing the sweet liquor that Euanthes’s son gives to Odysseus in lines 41–60 of Book 9?

Answers

In lines 41-60 of Book 9 of the Odyssey, the author discusses the sweet liquor that Euanthes's son gives to Odysseus. The main purpose of this discussion is to show Odysseus's cleverness and ability to outsmart his hosts.

Odysseus had just escaped from the cave of the Cyclops and was seeking hospitality from the people of the island. Euanthes's son offers him a sweet liquor that he says will take away his sorrows, but Odysseus suspects that it may be a trap to make him forget his troubles and reveal his true identity. Therefore, he pretends to drink the liquor but actually pours it out when Euanthes's son is not looking. Later, when the other islanders arrive and ask him why he is not affected by the liquor, he uses his wits to make up a convincing story about his exceptional tolerance to alcohol, further impressing his hosts with his cunning and resourcefulness.

Overall, the main purpose of discussing the sweet liquor is to highlight Odysseus's intelligence and quick thinking, which are key traits that enable him to survive and overcome the many challenges he faces on his journey back home.

Answer:

To Suggest that Odysseus already has a specific plan in mind

Explanation:

when creating research plans, speakers should consult school or community libraries as well as the internet

Answers

It is true that when creating research plans, speakers should consult school or community libraries as well as the internet.

What is research plan?

A research plan is a detailed outline or proposal that outlines the steps, methods, and objectives for conducting research on a particular topic.

When creating research plans, it is important for speakers to consult a variety of sources to gather reliable and accurate information. These sources may include school or community libraries, as well as the internet, academic journals, and other reputable resources.

Consulting multiple sources helps to ensure that the information gathered is thorough and well-rounded, and can help to prevent errors or inaccuracies in the research.

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The complete question is:

When creating research plans, speakers should consult school or community libraries as well as the internet.

True/False.

Help me pls Fast i need it now im going to give 50 points

Answers

The text structure used in this excerpt is "Description".


The author is describing the city of Mingora and its natural beauty, providing details about its green mountains, thick forests, and mighty rivers.

In what ways does the struggle for freedom change with history? What have you learned about the nature of any struggle for freedom by reading these poems, one of which was written almost 150 years ago?

Answers

Answer:

Explanation:

The struggle for freedom changes with history as social and political contexts shift over time. Historical, cultural, and economic factors influence the nature of the struggle for freedom, and these factors can change over time. For example, the nature of the struggle for freedom during the era of slavery in the United States was different from the nature of the struggle for freedom during the Civil Rights Movement. The forms of oppression and resistance, the tactics and strategies used, and the goals of the struggle can all evolve over time.

Reading poems about the struggle for freedom, such as "Douglass" by Paul Laurence Dunbar, which was written almost 150 years ago, teaches us that the nature of any struggle for freedom is complex and multifaceted. The poems illustrate that the struggle for freedom is not just about physical freedom, but also about the freedom to express oneself, the freedom to be seen and heard, and the freedom to live without fear of violence and discrimination. The poems also highlight the importance of collective action, community, and leadership in the fight for freedom.

Moreover, the poems emphasize that the struggle for freedom is ongoing and that it requires ongoing vigilance and commitment. While progress can be made, there is always the risk of backsliding, and the struggle for freedom must continue across generations. The poems also remind us that the struggle for freedom is often met with resistance and violence from those who seek to maintain their power and privilege. In spite of this, the poems inspire hope and a sense of possibility, suggesting that change is possible through collective action and the pursuit of justice.

Write a short memoir about some aspect of your life. Include some anecdote, to supply details about an event, or to show the personalities of the people involved in your life. 300 WORDS

Answers

Choose a specific aspect of your life that you want to write about. Use anecdotes to supply details about the event or the personalities involved in your life. Write in the first person point of view. Use descriptive language to create a vivid picture in the reader's mind. Write concisely and clearly.

A short memoir is as follows:

I grew up on the outskirts of a small town in the Midwest. My childhood was marked by sunny days spent outdoors with my family and friends, long evenings spent eating ice cream and playing board games with my siblings, and weekends spent going on family trips to the lake or exploring the woods near our house.

One particular memory that stands out to me is the summer that I spent learning to garden with my grandfather. He taught me about the importance of patience and perseverance. He would often tell me that no plant, no matter how carefully tended to, will grow unless it's given enough time and love. He taught me that the same was true of relationships, friendships, and life itself.

Through those summer days, my grandfather and I developed a close bond that would last until his death, years later. I now cherish the memory of the time we spent together in the garden, and it serves as an inspiration in my own life to slow down and appreciate the small moments.

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Choose the type of sentence error that exists in this sentence:
Baseball is easy to learn however it is difficult to master.
run-on sentence
comma splice
none
fragment

Answers

Answer:

The given sentence contains a comma splice error, which occurs when two independent clauses are joined by a comma without a coordinating conjunction or appropriate punctuation mark. In this case, the comma is not strong enough to separate the two independent clauses, and a coordinating conjunction (such as "but" or "and") should be used instead or the comma should be replaced by a semicolon.

A corrected version of the sentence could be: "Baseball is easy to learn, but it is difficult to master."

Explanation:

 Which of the following are true statements about April BEFORE she made the deal with her parents?
I. She thought that a car would make her freer than she was before.
II. She was unaware of how many places her sisters went each day.
III. She failed to appreciate how much money it cost to own a car.


A
I only
B
I and II
C
II and III
D
I, II, and III

Answers

Answer:

 Which of the following are true statements about April BEFORE she made the deal with her parents?

I. She thought that a car would make her freer than she was before.

II. She was unaware of how many places her sisters went each day.

III. She failed to appreciate how much money it cost to own a car.

A

I only

B

I and II

C

II and III

D

I, II, and III

Explanation:

A) I only

Personal Narrative need help

Answers

A personal narrative essay uses the components of a story: introduction, plot, characters, setting, and conflict.

What does a narrative serve as?

For good reason, a lot of us likely consider narrative to be entertaining first. A significant portion of our spare time is spent on entertainment and the escape it offers. On weeknights, we might watch Netflix, go to the movies, play video games, and read a book before bed.Even sports, where events seem to happen at random, are packaged as stories, with broadcasters placing the action in the context of the game's history, the season's arc, and the lives of the players.Yet, stories serve numerous purposes than amusement and escape. People from all cultural backgrounds have used and produced narratives frequently throughout human history.Any account of a collection of connected incidents or experiences, whether fictitious or nonfictional, is referred to as a narrative, story, or tale. A sequence of written or spoken words, still or moving images, or any mix of these can be used to present a narrative.

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The Complete question is : What does a personal narrative need?

. What a lovely material! It ............. silk.
a) feels like
b) feels as if
c) feels if so
d) feels like it might

Answers

Answer:

"Feels like"

Explanation:

Makes more grammatical sense  

What is the meaning of "that it was a case of fight or die"?

Answers

Answer:

Explanation:

The phrase "fight or die" means that a person or group of people are in a situation where they have to fight with all their might or they will die. It suggests that there is no other option or alternative available, and that the only way to survive is to engage in a struggle. The phrase can be used in both literal and metaphorical contexts.

question which responses state a theme of the faerie queene? (select all that apply.) the faerie queene responses

Answers

The responses that state a theme of The Faerie Queene are:

-The righteous will find the strength they need to prevail against evil.-An honorable hero will fight for what is right, no matter how daunting the task.

The Faerie Queene, written by Edmund Spenser, is an epic poem that celebrates virtue and chivalry. Throughout the poem, characters face various trials and challenges, often against great evil. However, those who remain true to their righteous beliefs and values are able to overcome the obstacles they face and emerge victorious.

This theme of perseverance in the face of evil and the ultimate triumph of good is embodied in the characters of the poem and serves as a moral lesson for readers. The poem also emphasizes the importance of courage, honor, and righteousness in the face of adversity, which are qualities that are celebrated in the heroes of the story.

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The complete question is:

Which responses state a theme of The Faerie Queene?

-The righteous will find the strength they need to prevail against evil.

-An honorable hero will fight for what is right, no matter how daunting the task.

-When individuals are fighting a great battle in life, teamwork and cooperation make people stronger

-Great deeds are possible when one fights for good against evil.

THIS IS NOT FOR A SCHOOL ESSAY BUT TO SEE WHO GETS BRAINLIEST!!!!!!!
ESSAY: WESTERN POLITICAL THOUGHT
Here is your goal for this assignment:

Write an essay relating the political thoughts in the Declaration of Independence to the Bible

From an encyclopedia, the Internet, or other reference, read the second paragraph of the Declaration of Independence.

Copy each phrase that you think is part of the tradition of Western political thought (for example "all men are created equal").
In an essay of 300 words explain how each of these ideas is related to Biblical teaching.

Answers

America's Founders devoured the Bible. When it's necessary for one individual to severe the political ties that have bound them to another, as in the evolution of human events.

Compose an essay comparing the Declaration of Independence's political ideas to those found in the Bible.

Evidence is copious that campaign speeches and sermons at the time were loaded with anecdotes, examples, and passages from the Scripture which backed and validated their political ideas. The Declaration of Independence's key passages are provided here, followed by verses from the Bible that support the documents emphasised themes. In order to understand the values that inspired the Founders to form the first free citizens in modern history, it is hoped that current Americans will become familiar with the complete Biblical accounts that are mentioned here.

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What does it mean when the pirates wave a white cloth in chapters 19-21 of Treasure Island?
A. The pirates are signaling to start the attack.
B. The pirates want to negotiate and are sending an unarmed man.
C. The pirates surrender and Captain Smollett.
D. The pirates are declaring victory

Answers

Answer:

The pirates want to negotiate and are sending an unarmed man.

What is the meaning of "an armed clash at the mouth of the Danube"?

Answers

Answer:

Explanation:

"An armed clash at the mouth of the Danube" refers to a conflict or confrontation that occurred in the area where the Danube River empties into the Black Sea. The term "armed clash" indicates that the conflict involved the use of weapons, and it could refer to a variety of different types of confrontations, such as a battle, skirmish, or armed altercation. The Danube is a major river in Europe that flows through multiple countries, and the area where it meets the Black Sea has been the site of numerous conflicts throughout history.

One of the central ideas of Narrative of the Life of Frederick Douglass is that, in the
minds of slave owners, an enslaved person is no better than an animal. In a well-
developed response of one paragraph, describe how Douglass develops and supports
this central idea, citing specific evidence from the text and exploring how Douglass
makes connections between key events and the central idea in your response.

Answers

He believes that if he were an animal, he wouldn't be able to ponder or care about his situation. Douglass is plagued by thoughts of his life as a slave and the impossibility of freedom now that he can read.

What are Douglas' opinions about it?

He considers slaveowners to be "a band of successful bandits" and "the meanest as well as the most depraved of men. Douglass wants to express his feelings about being a slave and the effects of literacy. He describes three occasions that helped him accomplish his goal: his mistress teaching him to read, his continued pursuit of instruction from "all the little white boys," and the acquisition of specific reading materials that encouraged his learning.

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Examining the qualifications of the _____ is one criterion for evaluating information sources.
a) instructor
b)readers interpretation
c)author
d)website designer

Answers

Examining the qualificatiοns οf the authοr is οne criteriοn fοr evaluating infοrmatiοn sοurces.

What are the 6 ways in evaluating sοurces οf infοrmatiοn?

The mοst impοrtant details in this text are the authοrity, accuracy, οbjectivity, currency, cοverage, relevance, and cοverage οf the sοurce. Authοrity is the authοr οr creatοr οf the sοurce, whο has credentials, qualificatiοns, and experience in the field. Accuracy is factually accurate, reliable, and free οf errοrs οr bias. Objectivity is unbiased, currency is up-tο-date, cοverage is cοmprehensive, and relevance is relevant tο the research needs and tοpic.

What is reader interpretatiοn?

Reader interpretatiοn is the term used tο describe the individual interpretatiοn οr understanding that a reader makes οf a written οr visual cοntent. It is the prοcess οf interpreting the infοrmatiοn given in light οf the reader's priοr knοwledge, experience, and viewpοint. Individual differences in reader interpretatiοn, including thοse related tο culture, educatiοn, and persοnal values, can be significant.

What is the meaning οf cοpyright authοrity?

An authοritative cοpywriter is οne whο is knοwledgeable and skilled in writing persuasive and infοrmative cοpy that resοnates with the target audience and effectively cοmmunicates the desired message.

Thus, Authοr, C is the cοrrect respοnse. One οf the standards fοr judging infοrmatiοn sοurces is lοοking at the authοr's credentials. In οrder tο identify if an authοr is a trustwοrthy sοurce οf infοrmatiοn, it is critical tο evaluate their knοwledge, qualificatiοns, and experience in the subject area. Alsο, because the authοr's prejudice, perspective, and pοtential cοnflicts οf interest might affect the material οffered, it is beneficial tο take them intο accοunt.

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Read the text below.
Let the egg boil for about six minutes. Then, lift the egg from the water with a
spoon and drop it into a cup of cold water to let it cool. When you're ready to peel
the egg, roll it along a flat surface.
Which text structure does the author most clearly use in this passage?
Chronological
Problem-solution
Proposition and support
Compare and contrast
2 of 4 QUESTIONS

Answers

Compare and contrast chronological order

What city does The ingredients by Jason Reynolds’s take place

Answers

The ingredients by Jason Reynolds’s take place  in Washington, D.C.

The city does The ingredients by Jason Reynolds’s take place

The book "The Ingredients" is a short story written by Jason Reynolds, which is part of the book "All American Boys."

The events in "The Ingredients" take place in an urban setting that is not explicitly named, but it is implied to be a city in the United States. The story follows a young African American boy who is shopping for ingredients to make a cake with his mother. The setting is described as a bustling city, with street vendors, people rushing to and from work, and the sounds of honking cars and police sirens in the background.

The story takes place in Washington, D.C., which is where the main character, an African American teenager named Eric, lives with his grandmother. The story follows Eric as he navigates the challenges of adolescence and grapples with the meaning of family, community, and identity in a rapidly changing city.

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Meanwhile President Kennedy's father fell ill .
(change it into present tense)

Answers

Meanwhile President Kennedy’s father is ill

hey come on out by Shinichi hoshi
explain the story as contemporary fantasy and satire

Answers

The workman just at conclusion of the narrative paid little regard to the notion that things that have been thrown inside the hole are likely to return and fall from the sky, but reader are aware of this fact by this time.

What does the short story Yeah come on out mean?

Hey come on out main message is to get people to stop ignoring the environment. This narrative has a strong ecological message; it discusses how forsaking memories and possessions won't make any problems go away and how all consequences will result in karma. Two rising actions were when the mayor leased the hole to a contractor and when individuals started dropping their stuff down it.

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What are the differences between Adnan’s case and Justin Wolfes case in episode 7 season one “the opposite of the prosecution” serial podcast.

PLEASE HELPPPPP

Answers

Answer:

show and

Explanation:

Which of the following is NOT one of the options Gorgias invites his audience to consider in discussing the "bad reputation" of Helen?

-her noble birth
- fortune
-persuasion
- r*pe
- her own free will

Answers

Answer:

Explanation:

The option that is NOT one of the options Gorgias invites his audience to consider in discussing the "bad reputation" of Helen is r*pe.

Gorgias, a Greek Sophist, discusses the "bad reputation" of Helen of Troy in his Encomium of Helen. In this speech, he offers several options for his audience to consider regarding Helen's culpability for her alleged misconduct. These options include her noble birth, fortune, persuasion, and her own free will. However, Gorgias does not suggest that Helen's reputation was due to her being a victim of r*pe, but rather focuses on the choices she made and the influence she had over men.

Explain how Accommodating skill might resolve and contribute to harmonious relationships during your grade 12 academic year

Answers

Accommodating and compromising are two conflict resolution strategies that can be used to promote harmonious relationships during the grade 12 academic year. These strategies can help individuals navigate conflicts and find mutually agreeable solutions, which can foster positive and productive relationships.

Accommodating involves sacrificing one's own interests or needs in order to satisfy the other party's concerns. This strategy can be effective in situations where the issue at hand is relatively minor, or when maintaining a positive relationship with the other party is more important than achieving one's own goals. For example, if two students have a disagreement over a group project, one student might choose to accommodate the other's suggestions in order to maintain a positive working relationship and complete the project successfully.

Compromising involves finding a middle ground or mutual solution that satisfies both parties to some extent. This strategy can be effective when the issue at hand is more significant and both parties have valid concerns or needs. For example, if two students are deciding on a topic for a group project and have different interests, they might compromise by choosing a topic that incorporates aspects of both interests.

Using these conflict resolution strategies can help individuals communicate effectively, show respect for others' opinions and needs, and work together to find mutually agreeable solutions. This can contribute to a positive and harmonious classroom environment, where students feel comfortable expressing themselves and working together towards common goals.

what is the best example of frederick douglas avoiding emotion while writing about an emotional experience?

Answers

Answer:

I must have perished with cold, but that, the coldest nights, I used  to steal a bag which was used for carrying corn to the mill.

Explanation:

Frederick Douglass is an ex-slave and African American who saw a lot of terrible things as a slave and even as a freed black man in America.

As a result of this, when he is talking about his experiences, he is sometimes overwhelmed and takes a pause before he continues.

However, to avoid emotion when writing about his emotional experiences, he would have to speak and narrate in a different way. He does this by talking about his experiences in the corn mill and how he almost perished with cold.

Directions: Please use the context for which the vocabulary word has been used to explain what it means. The page numbers and sentences are included on the table below. You may have to use the page numbers to find the original passages in order to better understand how the word is being used in context. DO NOT give me dictionary definitions.

(picture included below)

Answers

After reading the passages provided and using the context clues they offer, we can define each of the words as follows, with meanings that suit the context.

Pigment: A substance that gives color to something, such as a dye or a paint.Hairbreadth: A very small or narrow distance or margin, often used to describe a close or narrowly avoided escape from danger.Obligatory: Required by a rule, law, or custom; mandatory.Mealy: Weak, fragile, or pale, when referring to a person.Jarring: Causing a sudden shock or jolt, often used to describe something that is unpleasant or discordant.Contingencies: Possible future events or circumstances that may happen, but which cannot be predicted with certainty.

How to use context clues

Context clues are pieces of information in a text or conversation that can help you understand the meaning of an unfamiliar word or phrase. Here are some steps you can take to use context clues:

Look for surrounding words or phrases that you know the meaning of, and see if they provide any clues about the unfamiliar word.Pay attention to the tone and context of the sentence or conversation. The way the word is being used can often give you a clue about its meaning.Look for signal words, such as "like" or "such as," which often introduce examples or comparisons that can help you understand the meaning of a word.Look for definitions or explanations that are provided within the text or conversation.Use your prior knowledge and experience to make an educated guess about the meaning of the word.

Take "mealy" as an example. We can clearly see that the passage provided includes a contrast, that is, it shows the differences between things. The name is strong, but the person who has the name is not. That is why we concluded that mealy refers to someone who is weak or fragile.

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have Underline the main verb in the sentences. My brother has a job with a big multinational company. He has only worked for them for a few months. The company has got offices around the world. He doesn't have his own office yet. He has to work very long hours. He doesn't have much free time anymore. He has a lot of meetings with clients from different countries. He has to speak English a lot for his job.​

Answers

Answer:

Explanation:

My brother has a job with a big multinational company.

He has only worked for them for a few months.

The company has got offices around the world.

He doesn't have his own office yet.

He has to work very long hours.

He doesn't have much free time anymore.

He has a lot of meetings with clients from different countries.

He has to speak English a lot for his job.​

which one of the following students is playing the role of reflector in a cooperative learning group?

Answers

Gary makes sure that the group is aware of its progress or lack of progress toward the group goal is playing the role of reflector in a cooperative learning group.

As a reflector, Gary's role is to observe the group's interactions, analyze them, and provide feedback to the group on its progress. By making sure that the group is aware of its progress, Gary is helping the group to evaluate its performance and identify areas that need improvement.

He is also helping the group to stay on track and focused on its goal. Reflectors are important members of a cooperative learning group as they help the group to improve its communication and problem-solving skills, and ensure that the group is working effectively toward its goal.

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The complete question is:

Which one of the following students is playing the role of reflector in a cooperative learning group?

Gary makes sure that the group is aware of its progress or lack of progress toward the group goalDavid is playing the role of leader in the cooperative learning group.Rachel is playing the role of observer in the cooperative learning group.Mark is playing the role of note-taker in the cooperative learning group.

Complete the following commercial plan according to what you learned in the lesson. Then, use this worksheet to create your commercial. Title of Short Story: Through the Tunnel Author of Short Story: Doris Lessing Script What can you say to your audience that will “sell” them your short story? Sounds What sound effects could be added for interest? Visuals What images could be added for interest? Hook Capture your audience’s attention with your words. How can you make the story sound interesting and connect with the audience? Plot Overview Summarize your short story in 3-4 sentences. This can include the exposition, rising action, climax, falling action, and resolution. Theme Share your theme sentence. Why is the lesson learned important? How can a reader connect to this theme? Need Explain the significance of this story. Why does your audience need to read this story? Call to Action What should the audience do as a result of seeing your commercial?

Answers

Answer:

Explanation:

Title of Short Story: Through the Tunnel

Author of Short Story: Doris Lessing

Script:

Are you ready for an adventure? Join Jerry as he sets out to explore the mysteries of a rocky tunnel in "Through the Tunnel" by Doris Lessing.

Sounds:

Sounds of waves crashing against the shore, the echo of footsteps in a rocky tunnel, and the sound of water gushing through a narrow passage can be added to create interest.

Visuals:

Images of a rocky beach, a dark and mysterious tunnel, and the excitement on Jerry's face as he discovers new things can be added to make the commercial more visually appealing.

Hook:

Join Jerry on his journey to uncover the secrets of the tunnel, where danger and excitement await.

Plot Overview:

Jerry, a young boy, goes on vacation with his mother to a beach. While there, he becomes obsessed with a dangerous rocky tunnel, determined to swim through it to the other side. He spends hours practicing and building up his strength until he finally achieves his goal, experiencing the thrill of adventure and discovering the inner strength that he never knew he had.

Theme:

The theme of "Through the Tunnel" is the struggle for independence and self-discovery. It is important because it teaches readers the value of perseverance, courage, and determination, and how they can help us overcome our fears and achieve our goals.

Need:

This story is significant because it teaches readers important life lessons about the importance of pushing ourselves out of our comfort zones, taking risks, and learning to trust ourselves. Through Jerry's story, readers can connect with their own struggles and be inspired to take on new challenges.

Call to Action:

Readers should pick up a copy of "Through the Tunnel" and be inspired to embrace new challenges and discover their own inner strength.

Adam is raising pigs on their farm. They need to build a rectangular pen for their pigs, and want the pen to have as much area as possible. However, they only have 180 feet of fencing.
(a) Draw a diagram showing the rectangular pen and label the length of one of the sides of the pen with the variable t.
Explain in 200 words

Answers

To maximize the area of the rectangular pen, Adam needs to use all 180 feet of fencing. Let's call the length of the pen "l" and the width "w".

The perimeter of a rectangle is given by the formula P = 2l + 2w, which in this case is equal to 180 feet. So:

2l + 2w = 180

Simplifying this equation, we can divide both sides by 2:

l + w = 90

Now we need to find the maximum area of the rectangular pen. The area of a rectangle is given by the formula A = lw. We want to maximize this function subject to the constraint that the perimeter is 180 feet.

We can solve for one variable in the constraint equation above, and substitute it into the area equation. For example, solving for l in terms of w, we get:

l = 90 - w

Substituting this into the area equation, we get:

A = w(90 - w)

This is a quadratic equation in standard form, where the coefficient of the squared term is negative, meaning that the graph of this function is a parabola that opens downwards. The maximum value of this function occurs at the vertex of the parabola, which can be found using the formula:

w = -b/2a

where a and b are the coefficients of the quadratic equation. In this case, a = -1 and b = 90, so:

w = -90/(2*(-1)) = 45

This means that the width of the rectangular pen should be 45 feet. To find the length, we can use the constraint equation:

l + w = 90

l + 45 = 90

l = 45

Therefore, the length of the rectangular pen should also be 45 feet. So Adam should build a rectangular pen that is 45 feet by 45 feet, using all 180 feet of fencing available. This pen will have a maximum area of:

A = lw = 45*45 = 2025 square feet.

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