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

Answer 1

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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Related Questions

PLEASE HELP!!!! If you do this correctly, I will mark you as brainliest. I've tried a few times and no one seems to do this correctly. I need sources and argument points that work this.
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 elected officials who are responsible for representing the interests of their constituents and making decisions on behalf of the country. According to Mayhew, they are "single-minded seekers of re-election," meaning that their primary goal is to get re-elected and they will do whatever it takes to achieve this goal. This can include dishing out "pork," or funding for projects in their districts that are not necessarily related to the larger issues facing the country. These projects are meant to gain the favor of constituents and increase the likelihood of re-election.

The "home style" of members of Congress also plays a role in their decision making. This refers to the values and beliefs of the individuals and how they reflect the culture and politics of their districts. Members of Congress may feel pressure to align with the views of their constituents and may prioritize their needs and desires over the needs of the country as a whole.

During times of divided government, the decisions of members of Congress may change as they are forced to compromise with the opposing party in order to pass legislation. This threat of legislative gridlock can be a necessary evil to force members to come to an agreement and avoid complete stagnation.

In terms of their theoretical roles, most members of Congress can be classified as "politicos," meaning that they prioritize their own political careers and interests over their role as a representative. However, some may act as "delegates," strictly following the wishes of their constituents, while others may take on the role of a "trustee," using their own judgement to make decisions for the good of the country.

In conclusion, the decision making process of members of Congress is complex and influenced by a variety of factors, including their desire for re-election, the values and beliefs of their districts, and the political climate. While some may prioritize the needs of their constituents and act as delegates, others may prioritize their own political careers and act as politicos. The threat of legislative gridlock can also play a role in their decision making, as it forces them to compromise and find common ground.


Tilda took a random sample of n = 17 redwood trees in a park she oversees and had their heights
measured. The heights were roughly symmetric with a mean of = 60 meters and a standard deviation of
Sy = 6.1 meters. She wants to use this data to construct a t interval for the mean height of all the
redwood trees in her park with 95% confidence.
Con
What critical value t' should Tilda use?

Answers

Answer: t* = 2.120

Explanation:

Answer:

t*=2.120 is correct

According to federal data on the year around student population, 49% of all students completing a degree in four year college enrolled in a two year college in the previous 10 years. If you take a random sample of 10 of these graduate, what is the probability that exactly 4 of them will have been enrolled in a two year college in the last 10 years?

Answers

Answer:

The probability is [tex]0.2130[/tex]

Explanation:

Let's start by defining our variable :

[tex]X:[/tex] '' Number of students completing a degree in four year college enrolled in a two year college in the previous 10 years ''

Now, let's suppose that we have an experiment compounded by a series of test. Each test result can be classified as '' success '' or '' failure ''. In each test, the success probability is called ''p'' and the failure probability is '' 1 - p ''. Both probabilities don't change from test to test and we also suppose that exists independence between each test. Therefore, the random variable [tex]Y[/tex] : '' Number of successes in n tests '' can be modeled as a binomial random variable. We write :

[tex]Y[/tex] ~ Bi ( n , p )

Where ''n'' is the number of tests and ''p'' is the success probability.

In our question,

[tex]X[/tex] ~ Bi ( n , p ) ⇒ [tex]X[/tex] ~ Bi ( 10 , 0.49 )

We can think that asking to each of the graduate is our test and whose success probability is p = 0.49

The probability function for [tex]X[/tex] is :

[tex]p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}[/tex] ; [tex]x=0,1,...,n.[/tex]

Where [tex]\left(\begin{array}{c}n&x\end{array}\right)[/tex] is the combinatorial number defined as [tex]\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}[/tex]

For this question, the probability function is :

[tex]P(X=x)=\left(\begin{array}{c}10&x\end{array}\right)(0.49)^{x}(1-0.49)^{10-x}[/tex] ; [tex]x=0,1,...,10[/tex]

We need to calculate [tex]P(X=4)[/tex] ⇒

[tex]P(X=4)=\left(\begin{array}{c}10&4\end{array}\right)(0.49)^{4}(1-0.49)^{6}=0.2130[/tex]

The probability is [tex]0.2130[/tex]

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

Answers

Answer:

16.1 earthquake

Explanation:

hope it helps

APHuman Geo:
Explain why early urban renewal failed in Washington DC.

Answers

They didn’t want to move out

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:

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.

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:

Living in urban environments can influence an individual's behavior.
Please select the best answer from the choices provided
ОТ
OF

Answers

Answer:

True.

Explanation:

Sociology can be defined as a social science that deals with the study of the socio-cultural interaction of humans with respect to the structure, functioning and development of their society.

The main purpose of sociology is to develop and enhance human knowledge or understanding of important socio-cultural processes through the gathering and analysis of all aspects of the social life of the people living in a society.

A sociologist refers to an individual (scientist) that studies sociology i.e a social scientist.

Generally, sociologists study how society affects a group of people and how the people affect the society in return.

Living in urban environments can influence an individual's behavior because an environment is a determinant factor of how a person behaves and act.

For example, a person living in an urban environment is more likely to use a global positioning system (GPS) or digital map to find direction in moving from one location to another.

Answer:

True

Explanation:

Hope this helps

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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In relation to the video “What Most Schools Don’t Teach,” the authors mention Jane Margolis’ “unease” (paragraph 3, sentence 1) primarily to
A. provide supporting evidence for the video’s claims about the importance of perseverance in learning to code

B. demonstrate that the video creates false expectations regarding the financial rewards of careers in computer science

C. rebut the video’s premise about the steps required to make programming skills more widespread

D. suggest a more effective way to make programming seem appealing to those outside the computer science community

E. acknowledge more fully the achievements of women in the computer science community

Answers

Answer:

C. rebut the video’s premise about the steps required to make programming skills more widespread

Explanation:

Answer C

Correct. According to the passage, Margolis feels “unease” because the video fails to acknowledge that not everyone has access to certain “fundamental factors” required to learn programming. By bringing up Margolis’ unease, the authors rebut the video’s implicit assumption that making coding seem more desirable (for example, by portraying it as fun or lucrative) is an effective step for increasing the number of people who actually do learn to code.

Answer:

C

Explanation:

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

Why do you think many of the first maps created by humans were of the stars?

Answers

because firstly humans looked at space and then discovered stars

Answer:

because we humans discover space and stars

In what ways is the film, The Princess and the Frog, important/relevant to our everyday life and society?

Answers

It’s the frog you really just got to read it right that’s all

Identify the rhetorical device Wiesel employs in paragraph 1-2. Why does he include it?

Passage: “Hope, Despair, and Memory” By Elie Wiesel

Answers

Wiesel uses ethos, logos, pathos, heated language, and other rhetorical strategies to evoke compassion in his lecture, which is a scathing criticism of people who choose to ignore the pain of others.

What rhetorical strategies does Elie Wiesel employ?

Elie Wiesel emphasizes and establishes the issue of losing faith by using rhetorical tactics like personification, analogies, and rhetorical questions. Elie Wiesel used personification as one of his rhetorical strategies to develop and accentuate the issue of losing faith.

What kind of imagery does Wiesel utilize in paragraph 20 and what effect does it have? 

Wiesel compares what occurred to the Jewish people to "a tidal surge of hatred" (par. 20). The reader might picture the Jewish people being engulfed by a great flood of hatred.

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Refer to the passage.

"It is estimated that a total of seventy thousand private tube-wells were sunk during the 1969–1970 crop season in India, which brings about 1.4 million hectares of additional land under controlled irrigation, thereby greatly expanding the food production potential. It is estimated that at present less than half of the irrigation potential of India has been developed.

If the high-yielding dwarf wheat and rice varieties are the catalysts that have ignited the green revolution, then chemical fertilizer is the fuel that has powered its forward thrust. The responsiveness of the high-yielding varieties has greatly increased fertilizer consumption. The new varieties not only respond to much heavier dosages of fertilizer than the old ones but are also much more efficient in its use. The old tall-strawed varieties would produce only ten kilos of additional grain for each kilo of nitrogen applied, while the new varieties can produce twenty to twenty-five kilos or more of additional grain per kilo of nitrogen applied. Consumption of nitrogen fertilizer in India has increased from fifty-eight thousand metric tons of nutrients in 1950–1951 to 538 thousand and 1.2 million metric tons in 1964–1965 and 1969–1970 crop cycles, respectively; and about sixty percent of this amount was produced domestically.”

Norman Borlaug, accepting the 1970 Nobel Peace Prize for his role in reducing hunger in India and Pakistan

How is the position of farmers growing high-yield crops different from that of farmers growing traditional crops?

A. Farmers growing high-yield crops use less land, causing them to follow a higher-density settlement pattern.
B. Farmers growing high-yield crops are more likely to be self-sufficient and thus require less support from the rest of society.
C. Farmers growing high-yield crops require a larger amount of water and are therefore restricted to land within the irrigated zone.
D. Farmers growing high-yield crops require investment capital to fulfill their potential, but they can achieve profits and escape poverty.

Answers

A. Farmers growing high-yield crops use less land, causing them to follow a higher-density settlement pattern.

Answer:

D.  Farmers growing high-yield crops require investment capital to fulfill their potential, but they can achieve profits and escape poverty.

Explanation:

I received a 90% on this test, and it seems the most feasible option.

Every other answer for the test is in the .txt file attached to this answer :)

DATE ANSWERED: 5/12/2021

Long time no see brainly well I asking do VLONE shirt on Amazon are they legit like is it real

Answers

lol haha probably not. Nothing on Amazon is real

Critiquing falls within the evaluation process of thinking. In this assignment you will practice high-order thinking skills at the evaluating level by writing a movie critique. Once you have selected a movie, write a 500-word report evaluating the entertainment value you experienced for each of the movie components below. Again, this is not a professional movie critique. The goal is to evaluate and express your personal entertainment level in the following areas:

Story
Plot
Main Characters
Plausibility
Special Effects
Once your assignment is complete, upload it in the box below.

Answers

We can see here that in order to critique a movie, here is a guide:

Evaluate the plot, pacing, and structure of the story.Consider the quality of the acting and whether the actors were able to bring the characters to life.Consider whether the director was able to effectively tell the story, create a sense of atmosphere, and use film techniques such as lighting and camera angles to enhance the story.

What is a critique?

A critique is a detailed analysis and evaluation of a piece of work, such as a work of art, literature, or research. It is a critical examination of the strengths and weaknesses of the work, with the goal of understanding and interpreting its meaning and impact. A critique can take many forms, from a written review or essay, to a verbal discussion or presentation.

When critiquing a work of art or literature, for example, one might focus on elements such as the composition, style, and use of symbolism. In the case of a research paper, a critique might focus on the methodology, data analysis, and overall conclusions drawn by the author. The key is to be as specific and objective as possible in your analysis, while also providing context and background information about the work.

We see then that the above guide will help you to critique a movie.

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What time is it your you are at???​

Answers

It's May 6, 2025 for me, call of du.ty black o.ps 2 remas.terd came out and we figured out how to reserec.t people. Its is currently 2:57 pm, co.vid is still here it never left.

HELPPPPP PLEASEE WILL mark brainliest

Answers

Answer:

Explanation:

The CORRECT answer is C as the birth weight distribution and hence its histogram should be symmetrical from its mean value.

Answer:

Explanation:

ans is c as distribution should be the same left n right of the mean

Which of the following careers is the most highly resistant to economic change?


Computer Technician

Barber/ Hairstylist

Machine Designer

Photographer

Answers

Answer:

Barber/ Hairstylist

Explanation:

WILL GIVE BRAINIEST IF CORRECT!!!!!! AND EXTRA POINTS!!!
Alex can stack exactly 16 cookies with a diameter of 5 cm in a cylindrical container of volume 100.- em.
What is the thickness of each cookie?

Answers

Each cookie is about 5cm

summarize how scientists can use seismic waves to measure and locate earthquakes

Answers

Seismic waves are waves of energy that are generated by earthquakes and travel through the Earth's crust. Scientists can use these waves to measure and locate earthquakes.

To measure an earthquake, scientists use seismographs, which are instruments that detect and record seismic waves. The seismograph produces a graph of the seismic waves, known as a seismogram, which can be used to measure the magnitude of the earthquake. The magnitude is a measure of the energy released by the earthquake and it is commonly measured by the Richter Scale.

To locate an earthquake, scientists use a technique called triangulation. This involves measuring the time it takes for seismic waves to travel from the earthquake to different seismograph stations. By measuring the time difference, scientists can calculate the distance between the earthquake and each station. By using the distance information from three or more seismograph stations, scientists can triangulate the location of the earthquake.

Another way scientists can locate an earthquake is by using seismograms to determine the depth of the earthquake. Seismic waves travel faster through solid rock than through soil or soft rock, so scientists can use the difference in arrival time of different types of seismic waves to determine the depth of the earthquake.

In conclusion, scientists use seismic waves to measure and locate earthquakes by analyzing the data generated by seismographs to estimate the magnitude, and measuring the time it takes for seismic waves to travel from the earthquake to different seismograph stations to estimate the location and depth of the earthquake.

Read the following passage from Douglass's speech:

I hear the doleful wail of fettered humanity, on the way to the slave-markets, where the victims are to be sold like horses, sheep, and swine, knocked off to the highest bidder. What is the purpose of this analogy?


A.To reinforce the pain that results from the inhumane treatment of slaves

B.To affirm the necessity of increasing the availability of slave-markets

C.To highlight the pain the rest of the world feels as they watch Americans wrestle with the issue of slavery

D.To show how slaves are treated better than the beasts of burden so critical to the farming industry


I think it's A or C.. I'm not sure..

Answers

Answer: The correct answer is option A: To reinforce the pain that results from the inhumane treatment of slaves.

Explanation: The purpose of the analogy is to reinforce the inhumane treatment of slaves. The use of the analogy comparing slaves to animals being sold at a market suggests that they are being treated as property rather than as human beings. The comparison to horses, sheep, and swine being "knocked off to the highest bidder" further emphasizes the dehumanizing nature of the slave trade. The correct answer is option A: To reinforce the pain that results from the inhumane treatment of slaves.

explain the intellectual and ideological context in which revolution swept the atlantic world from 1750-1900

Answers

Answer: Explain the intellectual and ideological context in which revolutions swept the Atlantic World from 1750-1900.

*Revolutions were sparked by the concept of Enlightenment because it promoted questions about class and religion and denied the legitimacy of government with absolute power.

Explanation:

*Revolutions were sparked by the concept of Enlightenment because it promoted questions about class and religion and denied the legitimacy of government with absolute power. An example is how the enlightenment thinker John Locke contributed to the writing of the Declaration of Independence after the revolution with his belief that everyone has "inalienable rights".

Fusion reactions in the sun change nuclear energy into
mechanical energy
chemical energy
electromagnetic energy
potential energy
the question is a science question

Answers

Answer:

electromagnetic energy

Fusion reactions in the sun change nuclear energy into electromagnetic energy. The correct option is c.

What is electromagnetic energy?

Radiant energy that moves in waves at the speed of light is known as electromagnetic energy. Radiant energy, electromagnetic radiation, electromagnetic waves, light, or the movement of radiation are other names for it. Using electromagnetic radiation, heat can be transferred.

The energy produced by the interplay of the magnetic and electrical fields is known as electromagnetic energy.

The following electromagnetic energy types:

Microwaves and radio waves

Atomic radiation

Helium is created from hydrogen in the Sun's core. Nuclear fusion is the term for this. Each helium atom is created by the fusion of four hydrogen atoms.

Therefore, the correct option is c. electromagnetic energy.

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Why are most stars not destroyed in a galaxy collision?

A. Gravity keeps them away from each other.

B. Galaxies move too slowly for that type of damage.

C. Galaxies don't have stars.

D. Galaxies are mostly empty space. Will mark brainliest

Answers

Answer:

the gravity keeps a huge distance between them

Most stars are not destroyed in a galaxy collision as galaxies are mostly empty space. The correct option is D.

What is galaxy?

A galaxy is a massive cloud of gas and dust, as well as billions of stars and their solar systems.

Gravity holds a galaxy together. In the center of our galaxy, the Milky Way, there is also a supermassive black hole. When you look up at the stars at night, you can see other stars in the Milky Way.

If we used today's best technology to make the most basic estimate, we'd say there are 170 billion galaxies in our Universe.

Although the procedure of a galaxy collision reorganizes the stars into new structures (first tidal tails, then elliptical galaxies), because the space between stars is so large, it is extremely unlikely that even a single star collided with another star during this process.

Thus, the correct option is D.

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In Stand and Deliver, what are you impressions of the town? What feelings do you get about the neighborhood? Which ethnicity is in this neighborhood, and what makes this known?

Answers

In the movie stand and deliver the impressions of the neighborhood could be in between middle and lower class people, the neighborhoods could also be violent, the most popular ethnicities in that neighborhood are Chicanos you can tell by watching the movie

WILL MARK BRAINLIEST PLEASE HELP URGENT
In a banking system with limited reserves, which of the following combinations of monetary policy is the most expansionary? (1 point)
(I think the answer is c)

The central bank's selling bonds and lowering the discount rate

The central bank's buying bonds and Congress increasing government spending

Congress lowering taxes and increasing government spending

The central bank's lowering the required reserve ratio and lowering the discount rate

The central bank buying bonds and increasing the required reserve ratio

Answers

Answer:

c

Explanation:

congress lowering taxes and increasing government spending

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

Other Questions
Find y for 0.5y-2 2/5=1/2y+2.4 The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?If needed, use the z-table to answer the question.What is the value of the test statistic? (Round to 2 decimal places.)What is the P-value of the test? (Enter 4 decimal places.) What are the 4 economic objectives? What is the pattern in this sequence? 3,1,5,9,13, ... Brady owns a second home that he rents to others. During the year, he used the second home for 50 days for personal use and for 100 days for rental use. Brady collected $20,000 of rental receipts during the year. Brady allocated $7,000 of interest expense and property taxes, $10,000 of other expenses, and $4,000 of depreciation expense to the rental use. What is Brady's net income from the property and what type and amount of expenses will he carry forward to next year, if any This morning, Carmen car had 18.61 gallons of fuel. now, 3.9 gallons left. How much fuel did Carmen use If you want to buy a $245,000 house with a 15% down payment, how much will you be borrowing from the bank? If the interest you will pay is $210,000 total, how much total (interest and principal) will you pay on the borrowed money over the 30 years of your mortgage? How does Hardins example of the herdsman and his mathematical justification (nearly +1 and fraction of -1) embody the tragedy of the commons? 5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1. Assume that the two tests use different scales to measure the same aptitude. If someone gets an SAT score that is in the 95th percentile, find the actual SAT score and the equivalent ACT score. What are 5 things bacteria need to survive? What do you think are uses of DNA extracted from a human cell? How can headings help you navigate informational text?A. they are bold so you can see themB. they can show you sections of main ideasC. they can teach you critical reading skillsD. they can define vocabulary for you please help with math question!! Objects in an array are accessed with ________, just like any other data type in an array.O PrivateO The classO Data typeO Subscripts Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.a.The 8-year-old car could be worth approximately $2000.b.The 8-year-old car could be worth approximately $5000.c.The 8-year-old car could be worth approximately $3000.d.The 8-year-old car could be worth approximately $4500. Evaluate the expression a+b when a=23 and b=45 . Write in simplest form The ratio of the sides of a triangle is 3:5:6. If the perimeter of the triangle is 154 feet, what are the side lengths? 1. Circle which of the following ways to prove that a quadrilateral is a parallelogram. (5 pts.)I. quadrilateral with both pairs of opposite sides congruentII. quadrilateral with both pairs of opposite angles congruentILI. quadrilateral with one pair of opposite sides both congruent and parallelA. I onlyB. II onlyC. I, II and IIID. III onlyE. I and II How does Friar Lawrence feel about how the Prince chose to punish Romeo in Act III of Romeo and Juliet, when he is explaining it to Romeo?A. Romeo is lucky.B. Romeo's punishment should not be taken seriously.C. Romeo is being punished excessively.D. Romeo's punishment fits the crime. What did the Council of 500 do in Athens?