In triangle ABC, segment AY bisects angle A, segment BX bisects angle B, and Q is the intersection of segment AY and segment BX. Use the figure for Exercises 17-19.
17. Suppose BC > AC. Compare measure of angle BAY and the measure of angle ABX. Justify your reasoning.
18. Cynda claims that segment XC = segment YC if BC > AC. Can Cynda make this conclusion? Justify your argument.
19. If the measure of angle AQB > the measure of angle BQY, which side of triangle ABQ has the greatest length?​

Answers

Answer 1

Since segment AY bisects angle A and segment BX bisects angle B, angle BAY is congruent to angle AYB and angle ABX is congruent to angle XBA. So, the measure of angle BAY is equal to the measure of angle ABX.

18. Cynda cannot make this conclusion because it is not necessarily true that segment XC = segment YC if BC > AC. It is possible for the segments to be congruent, but it is not a given. Additional information is needed to determine if XC = YC.

19 Since the measure of angle AQB > the measure of angle BQY, it can be inferred that side AQ is longer than side QB. So, side AQ of triangle ABQ has the greatest length.

What is the angle about?

In triangle ABC, angle bisector theorem states that if a line bisects an angle of a triangle, it will divide the opposite side in the ratio of the sides that form the angle. So, since segment AY bisects angle A and segment BX bisects angle B, angle BAY is congruent to angle AYB and angle ABX is congruent to angle XBA. So, the measure of angle BAY is equal to the measure of angle ABX.

In this statement Cynda is assuming that if BC > AC that means that XC = YC which is not always true. There are many other factors that can affect the size of the segments such as the position of the angle bisectors , so additional information is needed to determine if XC = YC.

Therefore, the measure of an angle is the amount of rotation needed to move one arm of the angle to the position of the other arm. So if the measure of angle AQB is greater than the measure of angle BQY, it means that angle AQB is larger, and therefore the side AQ is longer than side QB. So, side AQ of triangle ABQ has the greatest length.

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 In Triangle ABC, Segment AY Bisects Angle A, Segment BX Bisects Angle B, And Q Is The Intersection Of

Related Questions

Read the following passage from Douglass's speech:

The point from which I am compelled to view them is not, certainly, the most
favorable; and yet I cannot contemplate their great deeds with less than admiration.
Which rhetorical technique does Douglass use in this sentence?

A.Anaphora
B.Hyperbole
C.Antithesis
D.Asyndeton

C or D??

Answers

The rhetorical technique that Douglass use in this sentence is option  C. Antithesis

What is Antithesis?

In the above  sentence, Douglass creates a contrast between two ideas: the unfavorable point of view from which he is forced to view the deeds of others, and the admiration he feels for those deeds despite this unfavorable point of view.

Antithesis is a rhetorical device that involves the use of contrasting ideas, phrases, or words in a balanced or parallel structure.

He sets up the idea of not being able to view the deeds with less than admiration, and the idea of a unfavorable point of view. This creates a contrast between the two ideas, which is the definition of Antithesis.

Therefore, based on the context of the above, Asyndeton is a literary technique in which conjunctions are omitted in a series of related clauses. This sentence doesn't have this technique.

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The principal of a new elementary school wants to give an IQ test to all students when they enter the school. The students will then be placed in groups of students with similar IQ scores. The principal assures the community that this plan is supported by scientific research and will improve education for all students, regardless of their ability.
Using evidence, present an argument for or against intelligence testing for children early in life.
Using evidence, present an argument for or against schools that “track” children based on intelligence test scores, separating high scorers from those with lower scores.
Using evidence, present an argument supporting the claim that environmental influences affect intelligence.
Using evidence, present an argument supporting the claim that labeling or tracking students could lead to stereotype threat.

Answers

1. Argument for intelligence testing for children early in life: Intelligence testing can provide valuable information about a child's cognitive abilities and potential.

2.Argument against schools that "track" children based on intelligence test scores: Tracking students based on intelligence test scores can perpetuate and exacerbate existing educational disparities.

3. Argument supporting the claim that environmental influences affect intelligence: Research has consistently shown that environmental factors, such as access to quality education, nutrition, and healthcare, can have a significant impact on cognitive development and intelligence.

4. Argument supporting the claim that labeling or tracking students could lead to stereotype threat: Stereotype threat is a phenomenon where individuals perform poorly on tasks due to the negative stereotypes associated with their social group.

How to illustrate the argument?

Research has shown that early identification and intervention can be effective in addressing learning difficulties and improving educational outcomes.

Research has shown that students in lower-ability tracks receive fewer resources and less challenging curriculum than their higher-ability peers, leading to a self-fulfilling prophecy where these students are less likely to achieve their full potential. Additionally, tracking can lead to stigmatization and a lack of motivation for students in lower-ability tracks.

Research has shown that labeling or tracking students based on intelligence test scores can lead to stereotype threat, particularly for students from underrepresented groups who are disproportionately placed in lower-ability tracks. This stereotype threat can further perpetuate existing educational disparities and negatively impact students' motivation and performance.

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Are political party's necessary in a democracy?

Answers

Political parties can serve an important role in a democracy by organizing and representing different groups of people with different ideologies and policy preferences. Parties can help to bring people together who share similar beliefs and goals, and can provide a way for these individuals to work towards common objectives. Political parties can also help to facilitate the democratic process by offering voters clear choices at election time and by providing a way for elected officials to be held accountable to the voters who supported them.

However, it is important to note that political parties can also have negative impacts on democracy. For example, parties may prioritize their own interests or the interests of their supporters above the interests of the general public. Parties may also contribute to political polarization and division within a society, which can make it difficult for politicians to work together and find common ground.

In conclusion, while political parties can serve a useful purpose in a democracy, it is important to ensure that they are accountable to the voters and are acting in the best interests of the public as a whole.
Political party’s are necessary in a democracy because they represent different beliefs and political points of view from the people. They help to bring people together to achieve goals in democracy according to their beliefs. And when people try to achieve goals together, the chance is even bigger. So yes, political party’s are necessary in a democracy because they are the true representatives of the people.


Does the protection of public safety allow the government to occasionally violate
the rights protected by the Second and Fourth Amendments of the U.S.
Constitution?
(Put in short essay)
Please help

Answers

AMENDMENTS OF THE U.S CONSTITUTION

The protection of public safety is a crucial responsibility of government, and at times, this may require the government to take actions that could potentially violate the rights protected by the Second and Fourth Amendments of the U.S. Constitution. The Second Amendment protects the right to keep and bear arms, while the Fourth Amendment protects against unreasonable searches and seizures.

In some situations, the government may believe that restricting access to certain types of firearms or conducting searches without a warrant is necessary to protect public safety. For example, the government may ban certain types of assault weapons in order to reduce gun violence, or it may conduct warrantless searches in cases where there is evidence of an imminent threat to public safety. While these actions may infringe on the rights protected by the Second and Fourth Amendments, they may also be necessary to protect the greater public good.

To conclude, the balance between public safety and individual rights is a delicate one, and it is up to the government and the courts to strike the appropriate balance. While it is important to protect individual rights, it is also important to ensure that the government has the tools it needs to keep the public safe.

[tex]\bold{ \: \purple{Hope \: This \: Helps \: You!}}[/tex]

What is a good topic sentence on the perspective of companies on the gender wage gap

Answers

Answer:

The gender wage gap is a reality for many companies. While some have been able to make strides in narrowing the gap, others have been slow to change. Some companies are holdouts, legally paying women less than men for the same work. Overall, the gender wage gap exists because of historical and societal factors that exist outside of the workplace. While companies are not solely responsible for the gender wage gap, they are a part of the solution.

What’s the line of reasoning in the article “Gender pay gap will remain until companies change their ways (opinion) CNN Business by Natasha Lamb and Jennifer Klein

Answers

for that you need to increase your basic competition

Please help ASAP!! DUE TOMORROW!!
describe how the boundaries between earth's tectonic plates compared with the location of most of the earthquakes

Answers

Answer:

The boundaries between Earth's tectonic plates are often marked by areas of intense seismic activity, including earthquakes. Most earthquakes occur along plate boundaries, where the movement of the plates can cause the buildup of stress in the Earth's crust. The majority of earthquakes occur at the boundaries between the tectonic plates, particularly at the edges of the lithosphere where the crust is thinnest and the most susceptible to movement. This is because the plates are constantly moving and interacting with each other, which can cause the release of built-up energy in the form of earthquakes.

Answer:

Earthquakes and volcanoes are the direct result of the movement of tectonic plates at fault lines. The term fault is used to describe the boundary between tectonic plates. Most of the earthquakes and volcanoes around the Pacific ocean basin—a pattern known as the “ring of fire”—are due to the movement of tectonic plates in this region. if it helps can you give me brainliest cause I need 10 brainliest

Explanation:

A pool is being drained by a pump at a rate of 4 gallons per minute. An identical pump is added to help drain the pool. How does the second pump affect the rate of drainage?
Explain.

Answers

Answer:

Explanation:

ddd

It increases the rate by doubling the amount of water being drained

Learning theory has developed a lot since Pavlov and his dogs. Explain how each of the following concepts or researchers have expanded our understanding of how learning works beyond early behaviorism (define the concept and apply by explaining how understanding expanded because of the concept):




Biological Preparedness
Robert Rescorla
Albert Bandura's Pattern of Learning
Biofeedback

Answers

Note that Learning theory has developed a lot since Pavlov and his dogs. Explain how each of the following concepts or researchers have expanded our understanding of how learning works beyond early behaviorism (define the concept and apply by explaining how understanding expanded because of the concept):  "Biological Preparedness " (Option A)

What is Biological Preparedness?

It is  crucial to note that the concept of biological preparedness holds that certain creatures are inclined to learn some things more quickly than others.

This notion extends on early behaviorism by recognizing that not all stimuli are equally efficient in producing learning, and that specific types of stimuli may be more successful at producing learning in certain species or individuals due to innate biology or evolutionary history.

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For each of the following pairs of terms, explain how the first concept influences the process indicated by the second. Be sure to define the first term and then apply it to the second.



Rods, Peripheral Vision Motion Parallax, Depth Perception Proximity, Perception McGurk Effect, Audition

Answers

The explanation of  how the concept influences the process indicated are given below

What are the concept?

Rods are light-sensitive cells found in the retina of the eye that are responsible for detecting low levels of light, such as in dim or dark conditions. They are more sensitive to light than the cone cells, which are responsible for detecting color and finer detail. Rods play a role in peripheral vision, which is the ability to see objects or movement that are outside of the center of the visual field.

Motion parallax is the phenomenon in which objects that are closer to us appear to move faster than objects that are farther away when we move our head or eyes. Depth perception, the ability to perceive the distance of objects in three-dimensional space, is influenced by motion parallax because it provides us with information about the relative distance of objects. When we move our head or eyes, the movement of nearby objects is more noticeable compared to distant objects, which helps us determine their relative distance.

Proximity is the physical closeness of objects or elements. Perception, the process of interpreting and organizing sensory information in order to understand the environment, is influenced by proximity because it can affect how we group and organize visual information. When objects or elements are close together, we are more likely to perceive them as being related or belonging to the same group, whereas when they are farther apart, we may perceive them as being separate or unrelated.

Therefore, The McGurk effect is a phenomenon in which the sound of a spoken syllable is altered or changed by the visual information of a speaker's mouth movements. Audition, the process of hearing

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3. Explain the controversy over mining. Why do some people want to
continue to mine for coal while others do not.

Answers

Answer:

look below

Explanation:

The rapidly increasing use of coal in the late nineteenth century required hundreds of thousands of workers to dig that coal out of the ground, sort and load it into railroad cars, and ship it to the urban and industrial centers that consumed it. Most coalfields were sparsely populated compared to the cities they supplied. Workers had to be recruited and lured to the coal camps. Company representatives traveled across the agricultural south, recruiting Black workers from former plantation areas as a new wave of white violence followed the collapse of Reconstruction. Recruiters also went to struggling towns in Southern and Eastern Europe, paying voyage fares for men who promised to work in the coal mines on arrival. By the turn of the twentieth century, close to half a million workers—mostly men and boys, but also some women in smaller, family mines—toiled in the American coalfields.The reality of the coal camp often looked very different from what had been promised. Pay was low, and the company, which often owned miners’ housing and ran the supply store, frequently controlled their cost of living. Miners were paid by the ton, and conflicts frequently arose over the process of weighing the coal. The industry’s cyclical nature meant that mining employment also could be irregular and precarious. Coal camp living conditions were often squalid, with social life dominated by the company and basic freedoms of speech, movement, and assembly restricted by private mine guards and company-paid sheriffs.Mining coal was incredibly dangerous work. During the industrial coal boom between 1880 and 1923, more than 70,000 miners died on the job. Many more perished from occupational diseases, but weren’t tallied in official statistics. Miners were crushed to death in roof collapses, killed by gas explosions and by machinery, and more. In the first decade of the twentieth century, three major mine disasters—one each in Utah, West Virginia, and Pennsylvania—killed 201, 362 and 239 miners respectively. The West Virginia and Pennsylvania disasters occurred within two weeks of each other in 1907, during the winter period that miners called “explosion season” because the dry air amplified the dangers from methane and coal dust. More common were deadly and frequent disasters that took miners’ lives in ones and twos, but never made headlines. As urban energy intensification made cities safer, healthier, and more convenient during the Progressive Era, the everyday violence of the energy system was largely hidden from view in rural mining communities.

Analyze two examples that illustrate an increased role for women in American society from 1880 to 1917.


This is a short answer prompt, please make it as long as possible because my grader is mf evil!!!! i'll give 15 points and brainliest answer

Answers

Female Employment and Women Suffrage are two examples that illustrate an increased role for women in American society from 1880 to 1917.

What is Female Employment and Women Suffrage?

Female Employment and Women Suffrage are two examples of an increased role for women in American society between 1880 and 1917.

Female Employment

Prior to World War I and the Industrial Revolution, women had little to no access to education and almost no opportunities for advancement and growth in the workplace. When World War I broke out, women filled the void by working in factories and as nurses.

This was the first time women had the opportunity to enter the labour force and try their hand at manual labour. Following the war, the Industrial Revolution increased production dramatically, creating a greater need for workers than ever before.

Women Suffrage

In the United States, the fight for women's suffrage began in the mid-nineteenth century with the women's rights movement. Women gained the right to vote in four states by 1896. (Wyoming, Colorado, Idaho, and Utah).

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calculate how much more energy a magnitude-9 earthquake releases compared to that of a magnitude-7 earthquake

Answers

Answer:

To calculate how much more energy a magnitude-9 earthquake releases compared to that of a magnitude-7 earthquake, you can use the formula:

Energy (magnitude 9) = Energy (magnitude 7) * (10^(3/2))^(9-7)

Plugging in the values, you get:

Energy (magnitude 9) = Energy (magnitude 7) * (10^(3/2))^(9-7)

= Energy (magnitude 7) * (10^(3/2))^2

= Energy (magnitude 7) * 10^3

= Energy (magnitude 7) * 1000

This means that a magnitude-9 earthquake releases 1000 times more energy than a magnitude-7 earthquake.

Uan inveted $5000 and bill inveted $1500. Why did uan have a higher balance at the age of 65

Answers

Uan had a higher balance at the age of 65 because he invested higher amount that Bill who invested $1500 and Uan receive way more according to compound interest.

What is compound interest?

Compound interest is calculated by multiplying the initial principal amount by one and adding the annual interest rate multiplied by the number of compound periods minus one. The loan's total initial amount is then deducted from the resulting value.

Compound interest is interest calculated on the initial principal, which includes all previous periods' accumulated interest. The ability to generate "interest on interest" is referred to as compound interest. Interest can be compounded at any time, from continuous to daily to annually. Money is multiplied at a faster rate when compounded.

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The chart above compares credit card offers. What is the most significant drawback to Credit Card 1 relative to the other cards? (1 point)

Higher interest rate
Low limit
No rewards
Secured credit

Answers

Answer:

the most significant drawback to Credit Card 1 relative to the other cards is that it has a higher interest rate. The interest rate for Credit Card 1 is 15.99%, which is higher than the interest rates for Credit Card 2 (12.99%), Credit Card 3 (13.99%), and Credit Card 4 (14.99%). This means that Credit Card 1 will be more expensive to use than the other cards, as the interest charges will be higher. This is a significant drawback, as it will increase the overall cost of using the credit card.

Explanation:

which correlation coefficient represents a strong, negative linear relationship?
Or = 0
• r = 0.21
Or = -0.21
Or = 0.97
Or = -0.97

Answers

Answer:

When r (the correlation coefficient) is near 1 or −1, the linear relationship is strong; when it is near 0, the linear relationship is weak. So, the answer would be Or = -0.97.

Explanation:

Earth Science Question:
summarize how scientists can use seismic waves to measure and locate earthquakes

Answers

By using The time that the S-waves and P-waves at separate seismometers can be used to find the location of the earthquake. With the relevant speed in both the S-waves and P-waves, the difference in time between their arrivals finds the distance that the earthquake is from the seismometer.

A rectangle made of square tiles measures 8 tiles long and 5 tiles wide. What is the length of a similar rectangle whose width is 10 titles

Answers

A similar rectangle has a length of 16 tiles and a width of 10 titles.

What is length and width of a rectangle?Although the width is the shortest of these two dimensions, when the rectangle is shown lying on its side, the horizontal side is usually referred to as the width.The length of the rectangle is the longer of these two measurements, but when the rectangle is shown standing on the floor, the vertical side is usually referred to as the length.

Similar shapes have sides that are proportional to one another. In other words, their proportions are identical.

Tile length ratio = tile width ratio

small tile width / large tile width = small tile length / large tile length

Let x is the length of a new rectangle

(10 x 8) / 5 = x

80 / 5 = x

16 = x

Therefore x = 16

The length of similar rectangle is 16 tiles long.

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The role of cell division in a star fish

Answers

Answer:

Hope it helps you

Explanation:

All multicellular organisms use cell division for growth and the maintenance and repair of cells and tissues. Cell division is tightly regulated because the occasional failure of regulation can have life-threatening consequences. Single-celled organisms use cell division as their method of reproduction.

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Which of the following statements would be arguments used to refute Wegner’s claims that the continents moved? Select three options. AP Environmental Science Question.


1. There is no force large enough to move the continents.

2. The seafloor at the mid Atlantic Ridge was newly formed.

3. The Earth’s crust was one single piece.

4. Volcanoes erupt with a lot of force and they don’t move the continents.

5. Wegener had no way to explain how the continents moved.

I think it's 1, 4, and 5. Let me know what you all think!

Answers

The statements that would be arguments used to refute Wegner’s claim are:

1. There is no force large enough to move the continents.

5. Wegener had no way to explain how the continents moved.

What were Wegner’s claims?

Alfred Wegener discovered evidence suggesting the continents had shifted in the first three decades of this century, and DuToit in the 1920s and 1930s.

Hard rock geologists generally opposed it, but theoretical geophysicists backed it. There were two main criticisms against his thesis: one was that no one could think of a mechanism that could move the continents, and the other was about whether the facts backed Wegener.

Therefore, the correct options are 1 and 5.

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PLEASE HELP!! I need sources and argument points for this question because I cannot find any. Please don't take this down because I really need help.
Write an essay in which you come to a definitive conclusion about how members of Congress decide to vote. Support your conclusion with information from The Lanahan Readings excerpts listed on the assignment page and outside research.

Answers

Answer:

Members of Congress often face difficult decisions when it comes to voting on legislation. There are many factors that can influence how they decide to vote, and it is not always easy to predict how a particular member will vote on a given issue.

According to The Lanahan Readings, one important factor that can influence how members of Congress vote is their party affiliation. Members of Congress are more likely to vote in line with their party's position on an issue, especially if the issue is considered important to the party. For example, a Republican member of Congress is more likely to vote in favor of a bill supported by the Republican Party, even if the bill is not necessarily in the best interest of their constituents.

Another factor that can influence how members of Congress vote is their personal beliefs and values. Members of Congress are elected to represent the interests of their constituents, but they also bring their own personal experiences and values to their decision-making process. For example, a member of Congress who is strongly pro-life may be more likely to vote against a bill that expands access to abortion, even if their constituents support the bill.

In addition to party affiliation and personal beliefs, members of Congress may also be influenced by the views of their constituents. If a large number of their constituents support or oppose a particular bill, members of Congress may feel pressure to vote in line with their constituents' views.

In conclusion, there are many factors that can influence how members of Congress decide to vote. Party affiliation, personal beliefs, and constituent views are all important considerations that can shape their voting decisions. Ultimately, the decision to vote for or against a particular bill is a complex one, and it is not always easy to predict how a member of Congress will vote.

Explanation:

Dr. Martinez has an injured patient needing a muscle relaxant. He knows that medication A contains a chemical that binds and block Acetylcholine receptors of muscle cells; and that medication B contains a chemical that floods the cytoplasm of muscle cells with calcium ions. State a claim telling which medication Dr. Martinez should prescribe as a muscle relaxant, and support it with evidence and reasoning

Answers

Because acetylcholine is the main neurotransmitter for electrical impulses from the nervous system to the muscular system, Chemical A is the better muscle relaxant. Muscles tend to relax when the number of molecules is reduced. Calcium, on the other hand, has the opposite effect.

What is acetylcholine?

Acetylcholine is an ester of choline and acetic acid that acts as a nerve impulse transmitter in the central and peripheral nervous systems.

Acetylcholine is the primary neurotransmitter of the parasympathetic nervous system, which is a branch of the autonomic nervous system that contracts smooth muscles, dilates blood vessels, increases bodily secretions, and slows heart rate. Acetylcholine has excitatory or inhibitory effects because it can stimulate or block a response.

Acetylcholine is stored in vesicles at the ends of cholinergic neurons. Acetylcholine is released into the neuromuscular junction in the peripheral nervous system when a nerve impulse arrives at the terminal of a motor neuron.

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How does the U.S. Constitution preserve and protect democracy in the United States?
DBQ ESSAY

Answers

ESSAY

The U.S. Constitution is the supreme law of the United States and serves as the foundation of the country's democratic government. It establishes the system of checks and balances that ensures that no one branch of government becomes too powerful, and it also provides for the protection of individual rights and freedoms.

One way in which the Constitution preserves and protects democracy in the United States is through the system of separation of powers, which divides the federal government into three branches: the legislative, executive, and judicial. Each branch has its own specific powers and responsibilities, and they are designed to work together to ensure that no one branch becomes too powerful. This helps to prevent the concentration of power in the hands of a small group of individuals, and ensures that the government is accountable to the people.

Another way in which the Constitution preserves and protects democracy is through the Bill of Rights, which is the first ten amendments to the Constitution. These amendments protect the fundamental rights and freedoms of U.S. citizens, including the right to free speech, religion, and the press, the right to bear arms, and the right to be free from unreasonable searches and seizures. These rights are essential to the functioning of a democratic society, as they allow individuals to express their opinions and participate in the political process without fear of retribution.

To conclude, the U.S. Constitution is a vital tool for preserving and protecting democracy in the United States. It provides the framework for a fair and just government that is accountable to the people and protects their fundamental rights and freedoms.

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In 200920092009, Usain Bolt set the world record for sprinting 100 \text{ m}100 m100, start text, space, m, end text in approximately 9\dfrac359
5
3

9, start fraction, 3, divided by, 5, end fraction seconds.
Find his average speed in meters per second.
meters per second

Answers

The average velocity for Usain Bolt is given as follows:

10.42 meters per second.

How to obtain the velocity?

The measures in this problem are obtained considering the relation between velocity, distance and time.

The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which:

v is the velocity.d is the distance.t is the time.

The parameters for this problem are given as follows:

Distance of 100 meters.Time of 9 and (3/5) seconds = 9 + 3/5 = 9 + 0.6 = 9.6 seconds.

(for the conversion of a mixed number to decimal, we add the integer part to the fractional part).

Hence the average velocity is obtained as follows:

100/9.6 = 10.42 meters per second.

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Explain one environmental consequence of tar sands petroleum extraction.

Answers

Answer:

Tar sands extraction emits up to three times more global warming pollution than does producing the same quantity of conventional crude. It also depletes and pollutes freshwater resources and creates giant ponds of toxic waste

Explanation:

One way to identify limestone (calcium carbonate) is to drop a small amount of hydrochloric acid on it. A

positive test results in a fizz of carbon dioxide, water, and one other product being produced. Predict the

other product and write a balanced chemical equation for this reaction.

Answers

Answer:

Explanation:

The other product that is produced when hydrochloric acid (HCl) is added to limestone (calcium carbonate) is calcium chloride (CaCl2).

The balanced chemical equation for this reaction is:

CaCO3(s) + 2HCl(aq) -> CaCl2(aq) + H2O(l) + CO2(g)

In this equation, the solid limestone (CaCO3) reacts with the aqueous hydrochloric acid (HCl) to produce calcium chloride (CaCl2) dissolved in water, water (H2O) and carbon dioxide (CO2) as a gas. On a molar basis the reaction is 1:1 between the Calcium carbonate and hydrochloric acid which results in the balanced equation.

It's worth noting that this reaction is an example of an acid-base reaction, where the hydrochloric acid (HCl) acts as the acid, and the limestone (CaCO3) acts as the base. The acid donates a proton (H+) to the base, resulting in the formation of the products.

Let f be a differentiable function such that f(0) = 5. 420 and f'(x) = sqrt(sin²x+x). What is the value of f(2pi)?

Answers

General Formulas and ConceptsCalculus

Differentiation

DerivativesDerivative Notation

Integration

IntegralsIntegration Techniques

Integration Rule [Fundamental Theorem of Calculus 2]:
[tex]\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)[/tex]

ApplicationStep 1: Define

Let's organize what is given to us from the problem.

We are given an initial condition: f(0) = 5.420

We are given a derivative:
[tex]\displaystyle f'(x) = \sqrt{\sin^2 x + x}[/tex]

We are asked to find f(2π).

Step 2: Work

We can first formulate a rough function using integration rules, namely the Fundamental Theorem of Calculus (2nd part):

[tex]\displaystyle f(x) = \int \limits^{x}_{a} f(t) \, dt + C_0[/tex]

where f(t) is a derivative function and C₀ is an initial condition.

Now that we have a "baseline formula", we can substitute in our f(t) derivative function, our limits, and our initial condition:

[tex]\displaystyle f'(x) = \sqrt{\sin^2 x + x} \Rightarrow f(t) = \sqrt{\sin^2 t + t}[/tex]

[tex]\displaystyle \begin{aligned}f(x) & = \int \limits^{x}_{a} f(t) \, dt + C_0 \\& = \int \limits^{x}_{0} \sqrt{\sin^2 t + t} \, dt + f(0) \\& = \boxed{ \int \limits^{x}_{0} \sqrt{\sin^2 t + t} \, dt + 5.420 } \\\end{aligned}[/tex]

∴ our general function is equal to:
[tex]\displaystyle \boxed{ f(x) = \int \limits^{x}_{0} \sqrt{\sin^2 t + t} \, dt + 5.420 }[/tex]

*Note:

There isn't an antiderivative for the general function, so you will have to input the integral into a calculator.

In order to find the value of f at , we substitute x = 2π into our general function:

[tex]\displaystyle \begin{aligned}f(2 \pi) & = \int \limits^{2 \pi}_{0} \sqrt{\sin^2 t + t} \, dt + 5.420 \\& = 11.44863485704886 + 5.420 \\& = 16.868634857 \\& \approx \boxed{ 16.868 } \\\end{aligned}[/tex]

∴  [tex]\displaystyle \boxed{ f(2 \pi) \approx 16.868 }[/tex]

Answer

∴ the value of f(2π) is approximately 16.868.

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Topic: Calculus I

Unit: Integration

A) Briefly explain one major difference between Wineapple's and Brinkley's historical interpretation of Manifest Destiney.





B) Briefly explain how one historical event or development in the period 1848 to 1861 that is not explicitly mentioned in the excerpts could be used to support Wineapple's interpretation.





C) Briefly explain how one historical event or development in the period 1848 to 1861 that is not explicitly mentioned in the excerpts could be used to support Brinkley's interpretation

Answers

(A) One major difference between Wineapple's and Brinkley's historical interpretations is that both authors believe that Manifest Destiny played a different role in the Civil War.

What is Manifest Destiny?

Manifest destiny was a cultural belief in the nineteenth-century United States that American settlers were fated to spread across North America.

The concept had three fundamental tenets:

The unique virtues of the American people and their institutionsThe mission of the United States to redeem and recreate the West in the image of the agrarian EastAn unstoppable destiny to complete this vital duty

B) Bleeding Kansas is a historical event from 1848 to 1861 that is not directly mentioned in the excerpts but could be used to support Wineapple's interpretation.

C) The Compromise of 1850 is a historical event from 1848 to 1861 that is not directly mentioned in the excerpts, could be used to support Brinkley's interpretation. The Compromise of 1850 was drafted in response to California's admission as a free state.

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PLEASE HELP!!!! I need sources and arguments for this prompt. Please cite your sources
Write an essay in which you come to a definitive conclusion about how members of Congress decide to vote. Support your conclusion with information from The Lanahan Readings excerpts listed on the assignment page, as well as outside research.
As you research and formulate your response, ask yourself these questions:
Are members of Congress "single-minded seekers of re-election," as Mayhew claims?
How does the "home style" of members relate to their decision making in Washington, D.C.?
How can we best define "pork"? Is dishing out the pork a recipe for electoral success, and if so, how does it influence congressional behavior?
Is the threat of legislative gridlock a necessary evil to force members of Congress to compromise?
How do the decisions of members of Congress change when the government is divided? What about during the "lame duck" portion of a president's term?
Which theoretical role — delegate, trustee, or politico — best describes most members of Congress when they make decisions?

Answers

Answer:

Members of Congress are often thought to be "single-minded seekers of re-election," as suggested by Mayhew. This theory suggests that members of Congress are primarily concerned with their own political survival and will prioritize their own re-election over the needs of their constituents or the greater good of the country.

There is some evidence to support this theory. For example, research has shown that members of Congress tend to focus their efforts on constituent services and pork barrel projects, which are designed to bring tangible benefits to their districts, in order to improve their chances of re-election. These efforts can sometimes come at the expense of more significant policy decisions or broader national interests.

However, it is important to note that members of Congress also have other factors that influence their decision-making. For example, the "home style" of a member, or the way in which they interact with their constituents and engage with their local community, can also play a role in their decision-making. Members who have a more collaborative and consultative home style may be more inclined to consider the views of their constituents when making decisions, while those with a more directive home style may be more likely to prioritize their own views and beliefs.

Pork barrel projects, or narrowly targeted spending initiatives that are designed to benefit a specific district or group, are also a significant factor in congressional decision-making. While dishing out pork can be a recipe for electoral success, as it brings tangible benefits to a member's district, it can also contribute to legislative gridlock if members are unwilling to compromise on their own pork projects in order to pass broader legislation.

The threat of legislative gridlock can sometimes be a necessary evil to force members of Congress to compromise and find common ground. However, it can also lead to inaction and a lack of progress on important issues.

The decisions of members of Congress may also be influenced by the overall political climate, such as whether the government is divided or whether the president is in the "lame duck" portion of their term. During times of divided government, members may be more likely to prioritize their party's goals and ideologies over finding common ground with the opposition. Similarly, during the "lame duck" period, members may be more likely to take bolder, less politically risky positions as they are no longer facing the prospect of re-election.

In terms of theoretical roles, it is likely that most members of Congress exhibit a combination of the delegate, trustee, and politico roles when making decisions. Delegates are primarily concerned with representing the views of their constituents, trustees prioritize their own judgment and expertise, and politicos are primarily motivated by political considerations and the pursuit of re-election. The specific balance of these roles may vary from member to member and may also shift depending on the specific circumstances and context of the decision at hand.

Overall, it is clear that there are a number of factors that influence the decision-making of members of Congress, including the pursuit of re-election, the "home style" of the member, pork barrel projects, the threat of legislative gridlock, the political climate, and the individual member's theoretical role.

sedaris uses both understatement and hyperbole in this essay. Identify two examples of each and explain the effect

Answers

"The size of tombstones" is a hyperbole. The author employs hyperbole to describe how many teeth Anna has. The character is eager to communicate, thus it is obvious that she does not have teeth that are as large as tombstones.

Through the use of hyperbole, Sedaris shapes the impact of wit. Additionally, it creates a better description of the scene so that the reader can visualize it better.

What is the major goal of David Sedaris' novel Us and Them?

In his essay "Us and Them," David Sedaris describes a society where people are sheltered, greedy, and only watch television for information. After reading the essay, I got the impression that the narrative included elements of the book Fahrenheit 451, in which people watch television in place of telescreens and big brother.

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