1. The correct answer is D: paper was made and used throughout history.This selection is mainly about the development and historical usage of paper, highlighting its importance and evolution over time. It likely discusses various methods of paper production and how paper has been integrated into societRead more

    The correct answer is D: paper was made and used throughout history.

    This selection is mainly about the development and historical usage of paper, highlighting its importance and evolution over time. It likely discusses various methods of paper production and how paper has been integrated into society.

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  2. The correct answer is C: plants, animal skins, and rags.Before the invention of paper, various materials were utilized for writing. Animal skins (like parchment), plant fibers (like papyrus), and rags from textiles were common writing surfaces because they were more accessible and usable for recordiRead more

    The correct answer is C: plants, animal skins, and rags.

    Before the invention of paper, various materials were utilized for writing. Animal skins (like parchment), plant fibers (like papyrus), and rags from textiles were common writing surfaces because they were more accessible and usable for recording information.

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  3. To provide the best answer, please share the text or main content you are referring to. This will help in determining which option is correct!

    To provide the best answer, please share the text or main content you are referring to. This will help in determining which option is correct!

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  4. The correct answer is D) the skin of an animal.Parchment is a writing material made from the skin of animals, typically sheep, goats, or cows, which is processed and treated to create a durable surface for writing. Historically, it was used before paper became widely available. If you have more quesRead more

    The correct answer is D) the skin of an animal.

    Parchment is a writing material made from the skin of animals, typically sheep, goats, or cows, which is processed and treated to create a durable surface for writing. Historically, it was used before paper became widely available. If you have more questions or need further clarification, feel free to ask!

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  5. The correct answers are C) anywhere that rocks have broken through the soil and E) in a place where there is no plant or animal life.Explanation: Fossils are typically found in sedimentary rocks, which form from the accumulation of sediment. When rocks break through the soil, they can expose these lRead more

    The correct answers are C) anywhere that rocks have broken through the soil and E) in a place where there is no plant or animal life.

    Explanation: Fossils are typically found in sedimentary rocks, which form from the accumulation of sediment. When rocks break through the soil, they can expose these layers. Additionally, areas with little to no life (E) are often more likely to reveal fossils, as there is less biological activity that can disturb them. Always consider geological formations when searching for fossils!

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  6. The correct answer is D: Both have to do with a print that is made by an animal or a plant.Explanation: Mold fossils are formed when an organism leaves an impression in sediment that hardens, creating a mold of the original shape. Cast fossils occur when that mold fills with minerals or sediments, cRead more

    The correct answer is D: Both have to do with a print that is made by an animal or a plant.

    Explanation: Mold fossils are formed when an organism leaves an impression in sediment that hardens, creating a mold of the original shape. Cast fossils occur when that mold fills with minerals or sediments, creating a cast of the organism. Both processes involve the creation of a print or impression left by living things. If you have any more questions or need further clarification, feel free to ask!

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  7. The correct answer is:A) The statistics on young black men facing profiling, incarceration, and unemployment were abysmal.Explanation: This statement is a summary of the overall issue highlighted in the provided statistics. It captures the essence of the information about the significant disparitiesRead more

    The correct answer is:

    A) The statistics on young black men facing profiling, incarceration, and unemployment were abysmal.

    Explanation: This statement is a summary of the overall issue highlighted in the provided statistics. It captures the essence of the information about the significant disparities faced by young black men in terms of profiling, incarceration rates, and employment opportunities, which reflects the broader systemic issues of racial inequality. Each of the other statements provides specific data or comparisons that contribute to understanding this broader issue.

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  8. The sentence that includes language suggesting an opinion is: 1. "In 2012, the statistics on young black men facing profiling, incarceration, and unemployment were abysmal."Explanation: The word "abysmal" conveys a strong negative opinion about the statistics, reflecting a judgment about the seriousRead more

    The sentence that includes language suggesting an opinion is:

    1. “In 2012, the statistics on young black men facing profiling, incarceration, and unemployment were abysmal.”

    Explanation: The word “abysmal” conveys a strong negative opinion about the statistics, reflecting a judgment about the seriousness or severity of the situation rather than a neutral statement of fact.

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  9. The correct answer is D) Scientists use their knowledge about the animal to rebuild the bones.Explanation: When the author mentions that scientists can "follow a plan" to reconstruct an animal's bones, it implies that they utilize their understanding of the animal's anatomy, biology, and previous fiRead more

    The correct answer is D) Scientists use their knowledge about the animal to rebuild the bones.

    Explanation: When the author mentions that scientists can “follow a plan” to reconstruct an animal’s bones, it implies that they utilize their understanding of the animal’s anatomy, biology, and previous findings to accurately piece the bones back together, rather than making random guesses or relying on others’ opinions.

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  10. The best saying that summarizes the public's sentiment about owner Ken Kendrick is C) Hope for the best, but prepare for the worst.Explanation: This saying reflects a cautious optimism people may feel regarding Kendrick's ownership. While fans may hope for success and positive changes under his leadRead more

    The best saying that summarizes the public’s sentiment about owner Ken Kendrick is C) Hope for the best, but prepare for the worst.

    Explanation: This saying reflects a cautious optimism people may feel regarding Kendrick’s ownership. While fans may hope for success and positive changes under his leadership, there may also be an underlying skepticism based on past performance, which encourages a prepared mindset for potential disappointments.

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  11. The correct answer is D informational.This selection provides facts and details about fossils, which suggests that its primary purpose is to inform the reader about the subject rather than to entertain or tell a story. Thus, it is best classified as informational.

    The correct answer is D informational.

    This selection provides facts and details about fossils, which suggests that its primary purpose is to inform the reader about the subject rather than to entertain or tell a story. Thus, it is best classified as informational.

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  12. The best answer is A) Actions speak louder than words.Explanation: This saying suggests that what someone does (their actions) is more important than what they say. In the context of public sentiment towards owner Ken Kendrick, it implies that the public's perception is shaped more by his actions reRead more

    The best answer is A) Actions speak louder than words.

    Explanation: This saying suggests that what someone does (their actions) is more important than what they say. In the context of public sentiment towards owner Ken Kendrick, it implies that the public’s perception is shaped more by his actions regarding the team rather than his statements or promises. This reflects a common sentiment where individuals judge effectiveness and reliability based on tangible results and behaviors.

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  13. The correct answer is D) The minerals in water fill the space where an animal once was, and then harden to make a fossil.Explanation: When an animal dies, its body can be buried in sediment. Over time, water seeps into the buried remains and carries minerals. These minerals replace organic materialRead more

    The correct answer is D) The minerals in water fill the space where an animal once was, and then harden to make a fossil.

    Explanation: When an animal dies, its body can be buried in sediment. Over time, water seeps into the buried remains and carries minerals. These minerals replace organic material in the bones and body, filling in spaces and eventually hardening to create a stone-like structure, which is the fossil. This process is known as permineralization. If you have any more questions or need further assistance, feel free to ask!

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  14. The correct answer is: D These parts decay more slowly than soft animal parts.Teeth, bones, and horns are made of hard materials that are more resistant to decay compared to soft tissues. This means they can last longer in the environment, making it more likely for them to be discovered by paleontolRead more

    The correct answer is: D These parts decay more slowly than soft animal parts.

    Teeth, bones, and horns are made of hard materials that are more resistant to decay compared to soft tissues. This means they can last longer in the environment, making it more likely for them to be discovered by paleontologists or researchers. Soft animal parts decompose quickly, often disappearing before they can be found as fossils.

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  15. The correct answer is C) heaven.Hindus believe that the Ganges River, along with other sacred rivers, originates from heaven. In Hindu mythology, the Ganges is considered a divine river that descends to Earth to purify and provide spiritual benefits to its devotees, symbolizing the connection betweeRead more

    The correct answer is C) heaven.

    Hindus believe that the Ganges River, along with other sacred rivers, originates from heaven. In Hindu mythology, the Ganges is considered a divine river that descends to Earth to purify and provide spiritual benefits to its devotees, symbolizing the connection between the celestial and the earthly realms. This belief adds to the river’s sacred status in Hindu culture. If you have more questions or need further explanations, feel free to ask!

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  16. The correct statements about the pollution of the Ganges River are:A. The pollution affects the people of India every day.C. The pollution can cause severe health problems.Explanation: These statements reflect the ongoing impact of pollution on the daily lives of people in India and the serious healRead more

    The correct statements about the pollution of the Ganges River are:

    A. The pollution affects the people of India every day.

    C. The pollution can cause severe health problems.

    Explanation: These statements reflect the ongoing impact of pollution on the daily lives of people in India and the serious health risks associated with contaminated water. The other statements either downplay the dangers or inaccurately represent the sources of pollution. If you have more questions or need further assistance, feel free to ask!

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  17. The correct answer is C) Theatres and other public spaces were closed, so Shakespeare wrote poems and sonnets instead.During the outbreak of plague in 1592, theaters in London were closed to prevent the spread of the disease. As a result, Shakespeare shifted his focus to writing poems and sonnets, wRead more

    The correct answer is C) Theatres and other public spaces were closed, so Shakespeare wrote poems and sonnets instead.

    During the outbreak of plague in 1592, theaters in London were closed to prevent the spread of the disease. As a result, Shakespeare shifted his focus to writing poems and sonnets, which allowed him to continue his work despite the closure of public performances. This period contributed to the creation of some of his most famous poetic works.

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  18. The correct answers are A) Shakespeare was in debt and D) Shakespeare's success made others jealous.In "Greene's Groats-Worth of Wit," Robert Greene mentions Shakespeare in a context that implies he was in debt and that his rise to success sparked jealousy among his contemporaries. This pamphlet serRead more

    The correct answers are A) Shakespeare was in debt and D) Shakespeare’s success made others jealous.

    In “Greene’s Groats-Worth of Wit,” Robert Greene mentions Shakespeare in a context that implies he was in debt and that his rise to success sparked jealousy among his contemporaries. This pamphlet serves as a reflection of the competitive atmosphere in the theatre world during that time, indicating both Shakespeare’s financial struggles and the envy he faced from other playwrights. If you have more questions or need further assistance, feel free to ask!

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  19. The correct answer could be D) Every Fossil Tells a Story.Explanation: This title suggests the idea that fossils provide valuable information about past life forms, including dinosaurs, and their environments. It emphasizes the narrative aspect of fossils, which often reveal insights into ancient ecRead more

    The correct answer could be D) Every Fossil Tells a Story.

    Explanation: This title suggests the idea that fossils provide valuable information about past life forms, including dinosaurs, and their environments. It emphasizes the narrative aspect of fossils, which often reveal insights into ancient ecosystems and the history of life on Earth.

    If you have more questions or need further assistance, feel free to ask!

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  20. The correct answer is A He was in an area that was not high enough.Explanation: The legend of the yeti, often associated with high Himalayan regions, suggests that Alexander the Great would not have likely encountered one if he was not in sufficiently elevated terrain. Yeti sightings are primarily rRead more

    The correct answer is A He was in an area that was not high enough.

    Explanation: The legend of the yeti, often associated with high Himalayan regions, suggests that Alexander the Great would not have likely encountered one if he was not in sufficiently elevated terrain. Yeti sightings are primarily reported in high-altitude areas, so being in lower elevations would explain why he didn’t see one. If you have more questions or need further assistance, feel free to ask!

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  21. The correct answer is C: the land that is on both sides of a river.Explanation: In many contexts, particularly when discussing rivers and waterways, the term "banks" refers to the sides or edges of a river. The other options refer to different meanings of "banks" that do not fit this context. If youRead more

    The correct answer is C: the land that is on both sides of a river.

    Explanation: In many contexts, particularly when discussing rivers and waterways, the term “banks” refers to the sides or edges of a river. The other options refer to different meanings of “banks” that do not fit this context. If you have any more questions or need further clarification, feel free to ask!

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  22. The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.Explanation: Cognitive dissonance refers to the mental discomfort or tension that arises when a person holds two contradictory beliefs or engages in behavior that contradicts thRead more

    The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.

    Explanation: Cognitive dissonance refers to the mental discomfort or tension that arises when a person holds two contradictory beliefs or engages in behavior that contradicts their values. In the context of climate change, this means individuals may express concern for the environment but continue to engage in actions that harm it, creating a sense of dissonance.

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  23. The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.Explanation: The term "cognitive dissonance" refers to the psychological discomfort experienced when holding two conflicting beliefs or behaviors. In this context, it suggests tRead more

    The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.

    Explanation: The term “cognitive dissonance” refers to the psychological discomfort experienced when holding two conflicting beliefs or behaviors. In this context, it suggests that while individuals may express concern about climate change, their actions (which may contradict their beliefs) create a dissonance, highlighting the gap between awareness and action.

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  24. The correct answer is C) A river is not meant to be a garbage pit.Explanation: This sentence conveys the idea that rivers should remain clean and not be used as dumping grounds, which aligns with the author's statement about the importance of keeping rivers clean. If you have more questions or needRead more

    The correct answer is C) A river is not meant to be a garbage pit.

    Explanation: This sentence conveys the idea that rivers should remain clean and not be used as dumping grounds, which aligns with the author’s statement about the importance of keeping rivers clean. If you have more questions or need further assistance, feel free to reach out!

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  25. The correct answer is C a young climate activist who went from protesting by herself to leading an international movement.This selection primarily focuses on the journey and growth of a young climate activist, highlighting her transition from individual protests to a broader, impactful movement. ThiRead more

    The correct answer is C a young climate activist who went from protesting by herself to leading an international movement.

    This selection primarily focuses on the journey and growth of a young climate activist, highlighting her transition from individual protests to a broader, impactful movement. This emphasizes her role and influence in raising awareness about climate change on a global scale. Keep up the great work, and if you have more questions or need further clarification, feel free to ask!

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  26. C) a young climate activist who went from protesting by herself to leading an international movement.The selection focuses primarily on the journey and impact of a young climate activist, highlighting her progression from individual protests to becoming a prominent leader in a larger global movementRead more

    C) a young climate activist who went from protesting by herself to leading an international movement.

    The selection focuses primarily on the journey and impact of a young climate activist, highlighting her progression from individual protests to becoming a prominent leader in a larger global movement for climate change awareness. This choice captures the essence of her story and the themes of activism and leadership. If you have more questions or need further details, feel free to ask!

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  27. The two details from the text that show what made Greta realize that people would listen to her are:A. Her father was persuaded by Greta's use of reason to stop eating meat.E. She convinced her mother to commit to stop flying even for work.Explanation: Both details demonstrate Greta's effectivenessRead more

    The two details from the text that show what made Greta realize that people would listen to her are:

    A. Her father was persuaded by Greta’s use of reason to stop eating meat.

    E. She convinced her mother to commit to stop flying even for work.

    Explanation: Both details demonstrate Greta’s effectiveness in communicating her concerns and influencing the decisions of her parents. When her father changed his eating habits based on her reasoning, it likely gave her confidence in the power of her voice. Similarly, convincing her mother to stop flying shows that her message resonated with others, reinforcing her belief that she could inspire change.

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  28. The correct answer is B) eating less meat and choosing to fly less may be good for the climate.Explanation: This option aligns with common environmental beliefs that reducing meat consumption and air travel can help lower carbon emissions and mitigate climate change. The other options suggest negatiRead more

    The correct answer is B) eating less meat and choosing to fly less may be good for the climate.

    Explanation: This option aligns with common environmental beliefs that reducing meat consumption and air travel can help lower carbon emissions and mitigate climate change. The other options suggest negative or inaccurate beliefs that Greta likely does not hold.

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  29. The correct answer is C quotes from Greta that appear throughout the text.Explanation: When a selection is based on an interview, it typically includes direct quotes from the interviewee, which in this case is Greta. These quotes provide insights into her thoughts and opinions, making it clear thatRead more

    The correct answer is C quotes from Greta that appear throughout the text.

    Explanation: When a selection is based on an interview, it typically includes direct quotes from the interviewee, which in this case is Greta. These quotes provide insights into her thoughts and opinions, making it clear that the content is derived from her perspective.

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  30. The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.Explanation: Cognitive dissonance refers to the mental discomfort experienced when a person's beliefs conflict with their actions. In the context of climate change, this suggestRead more

    The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.

    Explanation: Cognitive dissonance refers to the mental discomfort experienced when a person’s beliefs conflict with their actions. In the context of climate change, this suggests that despite concerns about the issue, individuals may still engage in behaviors that contradict their awareness of the problem, leading to a state of dissonance. This highlights the gap between awareness and action.

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  31. The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.Explanation: Cognitive dissonance refers to the mental discomfort that arises when a person's beliefs and behaviors are inconsistent. In the context of the excerpt, it suggestsRead more

    The correct answer is C: people seem to be worried about climate change but they keep doing things that are not helping it.

    Explanation: Cognitive dissonance refers to the mental discomfort that arises when a person’s beliefs and behaviors are inconsistent. In the context of the excerpt, it suggests that while there is concern about climate change, individuals often engage in behaviors that contradict their worries, leading to a conflict between their beliefs and actions.

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  32. To revise an argumentative essay, a writer should: 1. Make sure the tone is objective - An argumentative essay should be based on facts and logical reasoning rather than personal feelings. 2. Develop an opinion or position - It's important for the writer to clearly state their argument or position tRead more

    To revise an argumentative essay, a writer should:

    1. Make sure the tone is objective – An argumentative essay should be based on facts and logical reasoning rather than personal feelings.
    2. Develop an opinion or position – It’s important for the writer to clearly state their argument or position to guide the essay’s direction.
    3. Check the supporting details – Revising involves ensuring that all claims are backed up with strong, relevant evidence to support the argument effectively.

    These steps help strengthen the essay’s persuasive impact and improve clarity. If you need more detailed assistance, check the extended services page!

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  33. The correct answer is: write the draft.After creating an outline for an argumentative essay, the next step is to write the draft. The outline serves as a blueprint that organizes the main points and supporting evidence, making it easier to develop the full essay. Once the draft is written, the studeRead more

    The correct answer is: write the draft.

    After creating an outline for an argumentative essay, the next step is to write the draft. The outline serves as a blueprint that organizes the main points and supporting evidence, making it easier to develop the full essay. Once the draft is written, the student can then revise it and focus on strengthening the claim and arguments.

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  34. The first step to creating an argumentative essay is prewriting.Explanation: Prewriting involves brainstorming ideas, assessing your stance on the topic, and planning what you want to argue. This stage helps clarify your thoughts and gather your main points before you start outlining and writing theRead more

    The first step to creating an argumentative essay is prewriting.

    Explanation: Prewriting involves brainstorming ideas, assessing your stance on the topic, and planning what you want to argue. This stage helps clarify your thoughts and gather your main points before you start outlining and writing the essay.

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  35. A writer should use educated language in an argumentative essay.Explanation: Educated language helps convey ideas clearly and persuasively. It demonstrates credibility and engages the audience effectively, making it important for presenting arguments in a formal context. Using casual or informal lanRead more

    A writer should use educated language in an argumentative essay.

    Explanation: Educated language helps convey ideas clearly and persuasively. It demonstrates credibility and engages the audience effectively, making it important for presenting arguments in a formal context. Using casual or informal language may undermine the seriousness of the argument.

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  36. The correct answer is an argumentative essay.An argumentative essay states a position on a particular issue and supports it with evidence and reasoning. The goal is to persuade the reader to accept or understand the writer's viewpoint. In contrast, descriptive essays focus on details and descriptionRead more

    The correct answer is an argumentative essay.

    An argumentative essay states a position on a particular issue and supports it with evidence and reasoning. The goal is to persuade the reader to accept or understand the writer’s viewpoint. In contrast, descriptive essays focus on details and descriptions, informative essays provide factual information, and narrative essays tell a story.

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  37. The relationship between English settlements and bodies of water is often characterized by proximity to these water sources for various practical reasons. Settlements were typically located near rivers, lakes, and coastal areas because they provided essential resources such as water for drinking andRead more

    The relationship between English settlements and bodies of water is often characterized by proximity to these water sources for various practical reasons. Settlements were typically located near rivers, lakes, and coastal areas because they provided essential resources such as water for drinking and agriculture, transportation routes for trade, and food sources like fish. This strategic positioning enhanced the survival and growth of these communities.

    For the second question regarding unsettled areas in New Jersey or Connecticut, a possible explanation could be the presence of natural barriers like mountains, forests, or wetlands that make those lands less suitable for development. Additionally, areas may have been designated for conservation, or they may have lower agricultural potential, making them less attractive for settlement. Factors such as land ownership and zoning regulations can also contribute to the lack of settlement in these regions.

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  38. To find the distance from Emma's house to the pool using the Pythagorean Theorem, we need to understand the formula:[ c^2 = a^2 + b^2 ]Where:- ( c ) is the distance (the hypotenuse),- ( a ) and ( b ) are the other two sides of a right triangle. 1. Identify the lengths of ( a ) and ( b ) (the distancRead more

    To find the distance from Emma’s house to the pool using the Pythagorean Theorem, we need to understand the formula:

    [ c^2 = a^2 + b^2 ]

    Where:

    – ( c ) is the distance (the hypotenuse),

    – ( a ) and ( b ) are the other two sides of a right triangle.

    1. Identify the lengths of ( a ) and ( b ) (the distances from Emma’s house to the points that form a right triangle with the pool).
    2. Plug the values into the theorem.
    3. Solve for ( c ).

    If you can provide the lengths of ( a ) and ( b ), I can help you apply the formula to find the distance!

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  39. To find the distance between Jacob and Sharon, we can use the Pythagorean theorem. 1. Determine Jacob's final position:- He walked 3 m north and then 4 m west. So, from the starting point (0,0):- North (y-axis): (0, 3)- West (x-axis): (-4, 3)- Jacob's final position: (-4, 3) 2. Determine Sharon's fiRead more

    To find the distance between Jacob and Sharon, we can use the Pythagorean theorem.

    1. Determine Jacob’s final position:

    – He walked 3 m north and then 4 m west. So, from the starting point (0,0):

    – North (y-axis): (0, 3)

    – West (x-axis): (-4, 3)

    – Jacob’s final position: (-4, 3)

    2. Determine Sharon’s final position:

    – She walked 5 m south and then 12 m east. So from the starting point (0,0):

    – South (y-axis): (0, -5)

    – East (x-axis): (12, -5)

    – Sharon’s final position: (12, -5)

    3. Calculate the distance between their positions using the formula:

    [

    d = sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}

    ]

    Where ( (x_1, y_1) ) is Jacob’s position (-4, 3) and ( (x_2, y_2) ) is Sharon’s position (12, -5):

    [

    d = sqrt{(12 – (-4))^2 + (-5 – 3)^2}

    ]

    [

    =

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  40. The last step to creating an argumentative essay is "revising the draft."Explanation: After you have outlined your ideas, presented your claim, and researched your topic, it's important to review and revise your draft. This step ensures that your arguments are clear, coherent, and effectively supporRead more

    The last step to creating an argumentative essay is “revising the draft.”

    Explanation: After you have outlined your ideas, presented your claim, and researched your topic, it’s important to review and revise your draft. This step ensures that your arguments are clear, coherent, and effectively support your thesis. It allows you to make improvements and corrections to enhance the overall quality of your essay.

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  41. To find the distance between points B and C using the Pythagorean Theorem, we need the coordinates of points B and C. Assuming these points are represented as (x1, y1) for B and (x2, y2) for C, the formula we would apply is:Distance = √[(x2 - x1)² + (y2 - y1)²]Without knowing the specific coordinateRead more

    To find the distance between points B and C using the Pythagorean Theorem, we need the coordinates of points B and C. Assuming these points are represented as (x1, y1) for B and (x2, y2) for C, the formula we would apply is:

    Distance = √[(x2 – x1)² + (y2 – y1)²]

    Without knowing the specific coordinates of points B and C, I can’t compute the exact distance. However, if you provide those, I can guide you through the calculation! Please feel free to ask.

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  42. To find the interval where the profit ( P(x) ) is greater than 0, we need to solve the inequality:[ -x^2 + 400x - 30,000 > 0 ]First, we can find the roots of the quadratic equation by setting ( P(x) = 0 ):[ -x^2 + 400x - 30,000 = 0 ]This can be simplified to:[ x^2 - 400x + 30,000 = 0 ]Next, we applyRead more

    To find the interval where the profit ( P(x) ) is greater than 0, we need to solve the inequality:

    [ -x^2 + 400x – 30,000 > 0 ]

    First, we can find the roots of the quadratic equation by setting ( P(x) = 0 ):

    [ -x^2 + 400x – 30,000 = 0 ]

    This can be simplified to:

    [ x^2 – 400x + 30,000 = 0 ]

    Next, we apply the quadratic formula ( x = frac{-b pm sqrt{b^2 – 4ac}}{2a} ), where ( a = 1, b = -400, c = 30,000 ):

    1. Calculate the discriminant:

    [ b^2 – 4ac = (-400)^2 – 4 cdot 1 cdot 30,000 = 160,000 – 120,000 = 40,000 ]

    2. Find the roots:

    [ x = frac{400 pm sqrt{40,000}}{2} ]

    [ x = frac{400 pm 200}{2} ]

    So the two roots are:

    [ x = frac{600}{2} = 300 ]

    [ x = frac{200}{2}

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  43. The correct answer is C 5 miles.To find out how far Jimmy is from home, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, forming a right-angled triangle with those two legs.We can calculate the distance (hypotenuse) as follows:( d = sqrt{(3^2) + (4^2)} )( d = sqrt{9 +Read more

    The correct answer is C 5 miles.

    To find out how far Jimmy is from home, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, forming a right-angled triangle with those two legs.

    We can calculate the distance (hypotenuse) as follows:

    ( d = sqrt{(3^2) + (4^2)} )

    ( d = sqrt{9 + 16} )

    ( d = sqrt{25} )

    ( d = 5 ) miles.

    So, Jimmy is 5 miles away from home. Great job on working through this problem! If you have more questions, feel free to ask.

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  44. The correct answer is C 5 miles.To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, forming a right triangle where:- One side (west) = 3 miles- The other side (north) = 4 milesUsing the formula ( c = sqrt{a^2 + b^Read more

    The correct answer is C 5 miles.

    To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, forming a right triangle where:

    – One side (west) = 3 miles

    – The other side (north) = 4 miles

    Using the formula ( c = sqrt{a^2 + b^2} ):

    [

    c = sqrt{3^2 + 4^2} = sqrt{9 + 16} = sqrt{25} = 5 text{ miles}

    ]

    So, Jimmy is 5 miles away from home.

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  45. The correct answer is C: 5 miles.To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. After running 3 miles west and then 4 miles north, we have a right triangle where one leg is 3 miles and the other leg is 4 miles.Using the formula:[c = sqrt{a^2 + b^2}]wheRead more

    The correct answer is C: 5 miles.

    To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. After running 3 miles west and then 4 miles north, we have a right triangle where one leg is 3 miles and the other leg is 4 miles.

    Using the formula:

    [

    c = sqrt{a^2 + b^2}

    ]

    where ( a = 3 ) miles and ( b = 4 ) miles, we calculate:

    [

    c = sqrt{3^2 + 4^2} = sqrt{9 + 16} = sqrt{25} = 5

    ]

    So, Jimmy is 5 miles away from home. Great job working through that! If you have more questions, feel free to ask or check the extended services page for further assistance.

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  46. 1. Maine was once owned by D) Massachusetts. This is because Maine was part of the Massachusetts Bay Colony until it became a separate state in 1820. 2. After being kicked out of the Massachusetts Bay Colony, Roger Williams formed D) Rhode Island. He established Rhode Island as a place for religiousRead more

    1. Maine was once owned by D) Massachusetts. This is because Maine was part of the Massachusetts Bay Colony until it became a separate state in 1820.

    2. After being kicked out of the Massachusetts Bay Colony, Roger Williams formed D) Rhode Island. He established Rhode Island as a place for religious freedom and separation of church and state.

    3. New Englanders didn’t form large-scale plantations due to poor climate and A) rocky soil. The rocky terrain made it difficult to cultivate large areas of land, which is essential for plantation farming.

    If you have more questions or need further assistance, feel free to ask!

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  47. The correct answer is C: 5 miles.To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. He first ran 3 miles west and then 4 miles north. These two distances form a right triangle, where:- One leg of the triangle is 3 miles (west).- The other leg of the triangRead more

    The correct answer is C: 5 miles.

    To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. He first ran 3 miles west and then 4 miles north. These two distances form a right triangle, where:

    – One leg of the triangle is 3 miles (west).

    – The other leg of the triangle is 4 miles (north).

    According to the Pythagorean theorem:

    ( c^2 = a^2 + b^2 )

    Where:

    – ( c ) is the hypotenuse (the distance from home),

    – ( a ) is one leg (3 miles),

    – ( b ) is the other leg (4 miles).

    Now, substituting the values:

    ( c^2 = 3^2 + 4^2 )

    ( c^2 = 9 + 16 )

    ( c^2 = 25 )

    ( c = sqrt{25} )

    ( c = 5 )

    So, Jimmy is 5 miles away from home.

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  48. The correct answer is C, 5 miles.To find out how far Jimmy is from home, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, which creates a right triangle.In the triangle, one leg is 3 miles (west) and the other leg is 4 miles (north). According to the Pythagorean theoreRead more

    The correct answer is C, 5 miles.

    To find out how far Jimmy is from home, we can use the Pythagorean theorem. He ran 3 miles west and then 4 miles north, which creates a right triangle.

    In the triangle, one leg is 3 miles (west) and the other leg is 4 miles (north). According to the Pythagorean theorem:

    [ c^2 = a^2 + b^2 ]

    where ( c ) is the hypotenuse (the straight line distance from home), ( a ) is 3 miles, and ( b ) is 4 miles.

    So,

    [ c^2 = 3^2 + 4^2 ]

    [ c^2 = 9 + 16 ]

    [ c^2 = 25 ]

    [ c = sqrt{25} ]

    [ c = 5 ]

    Thus, Jimmy is 5 miles away from home.

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  49. To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. 1. Jimmy ran 3 miles west and then 4 miles north. 2. This forms a right triangle where one leg is 3 miles and the other leg is 4 miles.3. We can use the Pythagorean theorem, which states: a² + b² = c², wheRead more

    To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem.

    1. Jimmy ran 3 miles west and then 4 miles north.
    2. This forms a right triangle where one leg is 3 miles and the other leg is 4 miles.
    3. We can use the Pythagorean theorem, which states: a² + b² = c², where:

    – a = 3 miles

    – b = 4 miles

    Calculating it step by step:

    – a² = 3² = 9

    – b² = 4² = 16

    – c² = 9 + 16 = 25

    Now, find c:

    – c = √25 = 5

    So, Jimmy is 5 miles away from home.

    The correct answer is C 5 miles.

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  50. The correct answer is C 5 miles.To find out how far Jimmy is from home after running, we can use the Pythagorean theorem. 1. He ran 3 miles west and then 4 miles north. We can think of these two paths as the two legs of a right triangle. 2. The formula for the Pythagorean theorem is: ( a^2 + b^2 = cRead more

    The correct answer is C 5 miles.

    To find out how far Jimmy is from home after running, we can use the Pythagorean theorem.

    1. He ran 3 miles west and then 4 miles north. We can think of these two paths as the two legs of a right triangle.
    2. The formula for the Pythagorean theorem is: ( a^2 + b^2 = c^2 ), where ( c ) is the hypotenuse (the straight-line distance from home).
    3. Here, ( a = 3 ) miles and ( b = 4 ) miles.
    4. So, we calculate: ( 3^2 + 4^2 = c^2 ) which gives ( 9 + 16 = c^2 ), or ( 25 = c^2 ).
    5. Taking the square root of both sides, we find that ( c = 5 ) miles.

    Therefore, Jimmy is 5 miles away from home.

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