The period of the function is 6s. The correct option is (D).
The period of a function is the time it takes for the function to complete one full cycle.
For a sine function, the period is given by:
T = 2π/ω
Also for cosine function, we can express the period as:
T = 2π/ω
where T is the period, and ω is the angular frequency.
The angular frequency is related to the frequency, f, by the equation
ω = 2πf.
Going back to the question given, the function is:
a(t) = 4 cos (π/3 t)
Since the angular frequency is ω = π/3, so the period is:
T = 2π/ω = 2π/(π/3) = 6
Therefore, the period of the function is 6 seconds, so the answer is D.
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A consumer group is investigating two brands of popcorn, R and S. The population proportion of kernels that will pop for Brand R is 0. 90. The population proportion of kernels that will pop for Brand S is 0. 85. Two independent random samples were taken from the population. The following table shows the sample statistics. The consumer group claims that for all samples of size 100 kernels from Brand R and 200 kernels from Brand S, the mean of all possible differences in sample proportions (Brand R minus Brand S) is 0. 3. Is the consumer group’s claim correct?
The consumer group's claim that the difference in proportions has a mean of 0.03 is incorrect.
I need help on this, I couldn’t find the write subject for this but it’s sociology and no amount of good going answers this question properly
Sociologists use three levels of cultural complexity to study different cultures:
Surface levelIntermediate levelDeep levelWhat are these cultural complexity?Surface level: This refers to the visible and tangible aspects of culture, such as behaviors, artifacts, and symbols. Examples of surface-level cultural practices might include the way people dress, the food they eat, the language they speak, and the types of music they listen to.
Intermediate level: This level involves examining the underlying values, beliefs, and norms that inform and shape surface-level cultural practices. For example, in American culture, the value of individualism may inform the way people greet one another, with a focus on individual expression and personal space.
Deep level: This level involves looking at the underlying assumptions and worldviews that inform and shape the intermediate level of culture. For example, the deep level of American culture might include examining the history of colonization and its impact on cultural values around individualism and independence.
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The European Union (EU) is an alliance among several countries in Europe. Which of the following is true about the EU? (1 point)
A- It is an economic superpower that rivals the United States.
B- The alliance has lifted trade boundaries, but the trade revenue has remained the same.
C- The European member countries entered the agreement with little hesitation.
D- The members have pledged military allegiance to one another.
E- Its global influence is parallel to Australia.
For a population of leghorn chickens, the mean number of eggs laid per chicken is 0. 70 with standard deviation 0. 20 egg. For a population of Sussex chickens, the mean number of eggs laid per chicken is 0. 50 with standard deviation 0. 10 egg. Two independent random samples of chickens were taken from the populations. The following table shows the sample statistics. Mike claims that for all samples of size 36 from the population of leghorn chickens and all samples of size 36 from the population of Sussex chickens, the mean of all possible differences in sample means (leghorn minus Sussex) is 0. 30 eggs per chicken. Is Mike’s claim correct?
Using a calculator or statistical software, we find that the p-value is very small as per hypothesis, much smaller than the conventional significance level of 0.05.
To determine if Mike's claim is correct, we need to perform a hypothesis test. Let's define the null and alternative hypotheses as follows:
Null Hypothesis: The mean difference in egg production between leghorn and Sussex chickens is not significantly different from 0.30 eggs per chicken.
Alternative Hypothesis: The mean difference in egg production between leghorn and Sussex chickens is significantly different from 0.30 eggs per chicken.
We can use a two-sample t-test to test these hypotheses. First, we need to calculate the pooled standard deviation:
sp = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2)/(n1+n2-2))
where n1 and n2 are the sample sizes, s1 and s2 are the sample standard deviations, and sp is the pooled standard deviation.
Using the given information, we have:
n1 = n2 = 36
s1 = 0.20
s2 = 0.10
sp = sqrt(((36-1)*[tex]0.20^2[/tex] + (36-1)*[tex]0.10^2[/tex])/(36+36-2)) = 0.147
Next, we can calculate the t-statistic:
t = (x1 - x2 - d) / (sp * sqrt(2/n))
where x1 and x2 are the sample means, d is the hypothesized difference (0.30), sp is the pooled standard deviation, and n is the sample size.
Using the given information, we have:
x1 = 0.70
x2 = 0.50
d = 0.30
n = 36
t = (0.70 - 0.50 - 0.30) / (0.147 * sqrt(2/36)) = 5.65
Finally, we can calculate the p-value:
p = 2 * (1 - tdist(abs(t), n1+n2-2))
where tdist is the t-distribution function with n1+n2-2 degrees of freedom.
The p-value is very small, much smaller than the conventional significance level of 0.05.
Therefore, we reject the null hypothesis and conclude that the mean difference in egg production between leghorn and Sussex chickens is significantly different from 0.30 eggs per chicken. Mike's claim is not correct.
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Only blank can be lost or gained because the other particle, the blank resides inside the nucleus
Only electrons can be lost or gained because the other particle, the proton, resides inside the nucleus.
What is the electrons?Particles that lose electrons obtain a positive charge as a result since they are cleared out with less adversely charged electrons to adjust the positive charges of the protons within the nucleus, atoms (and atoms) ordinarily procure charge by picking up or losing electrons.
An atom that picks up one or more electrons will show a negative charge and is called an anion. Electrons are adversely charged particles that are included in chemical responses and the arrangement of chemical bonds.
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Use the excerpt from the speech on the air traffic controllers strike to answer the question.
Using the excerpt from Reagan's speech about air traffic controllers, answer (a), (b), and (c).
In 1–2 sentences, explain is the primary purpose of this speech.
In 2–3 sentences, describe the rationale Reagan provides for his proposed actions.
In 1–2 sentences, identify the ultimate outcome of the situation Reagan describes in the speech.
Excerpt from Ronald Reagan’s Speech on the Air Traffic Controllers Strike, 1981
This morning at 7 a.m. the union representing those who man America's air traffic control facilities called a strike. This was the culmination of 7 months of negotiations between the Federal Aviation Administration and the union. At one point in these negotiations agreement was reached and signed by both sides, granting a $40 million increase in salaries and benefits. This is twice what other government employees can expect. It was granted in recognition of the difficulties inherent in the work these people perform. Now, however, the union demands are 17 times what had been agreed to—$681 million. This would impose a tax burden on their fellow citizens which is unacceptable.
. . .
Let me make one thing plain. I respect the right of workers in the private sector to strike. Indeed, as president of my own union, I led the first strike ever called by that union. I guess I'm maybe the first one to ever hold this office who is a lifetime member of an AFL-CIO union. But we cannot compare labor-management relations in the private sector with government. Government cannot close down the assembly line. It has to provide without interruption the protective services which are government's reason for being.
. . .
I must tell those who fail to report for duty this morning they are in violation of the law, and if they do not report for work within 48 hours, they have forfeited their jobs and will be terminated.
Please help. Identify one way that problems within the medieval catholic church led to the development of reform minded religious order
Answer:
Corrupt leaders, Taxes, Separation of church and state
Explanation:
Many believed that the leaders within the church were corrupt and using their positions wrongly
People, merchants especially, resented the fact they were required to pay taxes to the church
There was no separation of church and state
Comprehensive Problem 5-1
John Williams (birthdate August 2, 1976) is a single taxpayer. John's earnings and withholdings as the manager of a local casino for 2019 are reported on his Form W-2 (see separate tab).
John received Form 1098 from the Reno Bank & Trust (see separate tab).
John's other income includes interest on a savings account at Nevada National Bank of $13,691.
John pays his ex-wife, Sarah McLoughlin, $3,900 per month in accordance with their February 12, 2013 divorce decree. When their 12-year-old child (in the ex-wife's custody) reaches the age of 18, the payments are reduced to $2,800 per month. His ex-wife's Social Security number is 554-44-5555.
In 2019, John purchased a new car and so he kept track of his sales tax receipts during the year. His actual sales tax paid is $3,700, which exceeds the estimated amount per the IRS tables.
John participates in a high-deductible health plan and is eligible to contribute to a health savings account. His HSA earned $75 in 2019.
During the year, John paid the following amounts (all of which can be substantiated):
Credit card interest $1,760
Auto loan interest 4,300
Auto insurance 900
Contribution to IRA 6,000
Property taxes on personal residence 2,700
Contributions to HSA 2,850
Income tax preparation fee 900
Charitable contributions (all cash):
Boy Scouts 1,350
St. Matthews Church 3,100
University of Nevada (Reno) Medical School 27,000
Nevada Democratic Party 250
Fund-raising dinner for the Reno Auto Museum 100
(value of dinner is $25)
Required:
Complete John's Form 1040 and Schedules 1, A and B as well Form 8889.
Make realistic assumptions about any missing data.
John had health coverage for the entire year and he does not want to contribute to the presidential election campaign,
Enter all amounts as positive numbers.
If an amount box does not require an entry or the answer is zero, enter "0".
If required round any dollar amount to the nearest dollar.
John had health coverage for the entire year and he does not want to contribute to the presidential election campaign withholding allowances
Enter all amounts as positive numbers. If an amount box does not require an entry or the answer is zero, enter "0". If required round any dollar amount to the nearest dollar.
Given the gross earning of John = $743.61
It is given that 1 withholding allowance = $19
Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.
Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).
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What you know bout rollin down in the deep?
An advertisement firm reports that the proportion of consumers who respond favorably to a certain advertisement is 0. 70. Three simulations, A, B, and C, were designed to create a sampling
distribution of a sample proportion from a population with proportion 0. 70. Each simulation consisted of 2,500 trials. For each trial of a simulation, a sample of size n was selected at random,
and the sample proportion was recorded. The value of n varied among the simulations. The following histograms summarize the results of the simulations
Simulation A
Submit
Relative Frequency
Search
0
fo
19
00
3:06 PM
12/6/2020
DELL
The simulations from the histogram are as follows, going from the smallest sample size n to the largest sample size n: Simulation A Instances C and B of simulation.
What is a histogram?The frequency of data items is displayed using rectangles at equal-sized integer intervals in a histogram, which is a statistical information display.
The simulation with the smallest sample size is Simulation A, followed by Simulation C, and Simulation B, which has the largest sample size, according to the histograms that show the outcomes of the simulations.
As a result, simulations are arranged starting with the simulation with the smallest sample size in order of their sample size.
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If a fair die is rolled 5 times what is the probability rounded to the nearest thousand of getting at least 4 sixes
The likelihood of getting at least 4 sixes when a fair die is rolled five times, rounded to the nearest thousand, is probability - 3240/7776 = 41% [approx.]
The probability of an occurrence, as used in science, is a figure that expresses how likely it is to take place. A number between 0 and 1 or a percentage between 0% and 100% are both acceptable forms of representation in mathematical notation.
An event's likelihood increases with its probability. Depending on whether something is conceivable or not getting , an event's likelihood can range from 0 to 1.
In both A and B, there is a one in one chance that two linked occurrences, A and B, will occur simultaneously.
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The background factors and the immediate sequence of events that cause the United States to declare war on Germany in 1917
Answer:
Wilson cited Germany's violation of its pledge to suspend unrestricted submarine warfare in the North Atlantic and the Mediterranean, and its attempts to entice Mexico into an alliance against the United States, as his reasons for declaring war.
Explanation:
Near the beginning of the film, a dream occurs where Cobb and his partner Arthur are speaking to a prospective client, Saito, about their services of defending dreams and information. What is the manifest content of this dream? What is the latent content?
In the movie Inception, in the dream where Cobb and Arthur are speaking to Saito, the manifest content is the explicit storyline that is presented to the viewer.
Why is this so?In this case, the manifest content is the conversation between the characters about their services of defending dreams and information.
The latent content, on the other hand, is the underlying meaning or symbolism that is hidden beneath the manifest content.
In this dream, the latent content may represent Cobb's desire to free himself from his own subconscious and move on from his past experiences. It may also represent his fear of being trapped in dreams and unable to distinguish reality from illusion.
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region is enclosed by the z-axis, the y-axis, the line, and the curve y = cos. When this region is rotated around the z-axis, what expression represents the volume of the solid?
The volume of the solid produced by rotating the region contained by the z-axis, y-axis, line, and curve y = cos around the z-axis is π.
How to determine volume of the solid?The technique of cylindrical shells is used to calculate the volume of the solid created by rotating the region bounded by the z-axis, the y-axis, the line, and the curve y = cos around the z-axis.
The region is defined by the y-axis (x=0) on the left and the line y=1 on the right. The region's height is supplied by the curve y=cos(y), and it is bounded by the z-axis.
Consider splitting the area into thin vertical strips of thickness dy to employ cylindrical shells. Each strip is y above the x-axis, with a height determined by cos(y), and a width supplied by the difference between the region's right and left limits at that height: 1 - 0 = 1.
The volume of each shell is then given by the formula for the volume of a cylinder:
V = 2πrhdy
where r = distance from the z-axis to the edge of the shell (i.e. the right bound of the region at that height), and h = height of the shell (i.e. cos(y)).
In this case, r is simply the value of y, since the region is enclosed by the z-axis:
r = y
h = cos(y)
dy = dy
Plugging these values into the formula for the volume of a cylinder:
dV = 2πy×cos(y)×dy
To find the total volume, we integrate this expression over the range of y values that define the region:
V = ∫[0, π/2] 2πy×cos(y) dy
Evaluating the integral:
V = 2π[cos(y) + ysin(y)]|[0, π/2]
V = 2π[(cos(π/2) + π/2sin(π/2)) - (cos(0) + 0sin(0))]
V = 2π[(0 + π/21) - (1 + 0)]
V = π
Therefore, the volume of the solid generated by rotating the region enclosed by the z-axis, the y-axis, the line, and the curve y = cos around the z-axis is π.
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Why is drilling oil reserves in the arctic national wildlife refuge controversial?
Answer:
POLAR BEARS AT RISK
Explanation:
The Arctic Refuge is important habitat for this doubly threatened species. They rely on its coastal plain region to make dens, give birth, and raise their young. Denning bears and their cubs are at most risk during a stage of oil and gas exploration called seismic surveying.
region is enclosed by the z-axis, the y-axis, the line, and the curve y = cos. When this region is rotated around the z-axis, what expression represents the volume of the solid?
The volume of the solid produced by rotating the region contained by the z-axis, y-axis, line, and curve y = cos around the z-axis is π.
How to determine volume of the solid?To find the volume of the solid generated by rotating the region enclosed by the z-axis, the y-axis, the line, and the curve y = cos around the z-axis, use the method of cylindrical shells.
The region is bounded on the left by the y-axis (x=0) and on the right by the line y=1. The height of the region is given by the curve y=cos(y) and the region is enclosed by the z-axis.
To use cylindrical shells, imagine slicing the region into thin vertical strips of thickness dy. Each strip is at a height y above the x-axis, has a height given by cos(y), and has a width given by the difference between the right and left bounds of the region at that height: 1 - 0 = 1.
The volume of each shell is then given by the formula for the volume of a cylinder:
V = 2πrhdy
where r = distance from the z-axis to the edge of the shell (i.e. the right bound of the region at that height), and h = height of the shell (i.e. cos(y)).
In this case, r is simply the value of y, since the region is enclosed by the z-axis:
r = y
h = cos(y)
dy = dy
Plugging these values into the formula for the volume of a cylinder:
dV = 2πy×cos(y)×dy
To find the total volume, we integrate this expression over the range of y values that define the region:
V = ∫[0, π/2] 2πy×cos(y) dy
Evaluating the integral:
V = 2π[cos(y) + ysin(y)]|[0, π/2]
V = 2π[(cos(π/2) + π/2sin(π/2)) - (cos(0) + 0sin(0))]
V = 2π[(0 + π/21) - (1 + 0)]
V = π
Therefore, the volume of the solid generated by rotating the region enclosed by the z-axis, the y-axis, the line, and the curve y = cos around the z-axis is π.
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How do price controls set by the federal government help consumers during a time of high inflation?
They set a maximum price for products or services and also set a minimum amount on how much an employee can be paid for work. The government sets a specific price on all products and services. The government sets a specific salary for all jobs. The government gives corporations money to keep prices low.
The scatterplot shows the payroll (in millions of dollars) and number of wins for Major League Baseball teams in 2016, along with the least-squares regression line. The points highlighted in red represent the Los Angeles Dodgers (far right) and the Cleveland Indians (upper left).
Describe what influence the point representing the Los Angeles Dodgers has on the equation of the least-squares regression line. Explain your reasoning
Los Angeles Dodgers' influence: This point on the scatter plot does not deviate from the general trend, so it cannot be characterized as an outlier.
However, those points demonstrate an extraordinary value and significant significance because they demonstrate that for wins roughly equal to 90, you can earn roughly 275.
Since it is part of the same trend line as the regression line and won't act as an outlier, its influence on the regression line is minimal. The regression line's slope is the only factor that varies.
Cleveland Indians impact on standard deviation and r2: The coefficient of determination (r2) will increase in the presence of an influencing factor; occasionally it will decrease.
Thus, Los Angeles Dodgers' influence: This point on the scatter plot does not deviate from the general trend.
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Can someone please grade my APUSH LEQ?
Disclaimer: This is definitely not my best work, but I want to see how it would possibly score
Prompt: Evaluate the extent to which ideas of self-government influenced American colonial reaction to British imperial authority from 1754 to 1776.
The ideas of self-government had a significant influence on American colonial reaction to British imperial authority from 1754 to 1776.
How did ideas of self- governance affect the American colonies ?The colonies started to come together and form a sense of identity during this time, and they started to see themselves as separate from Britain more and more. The Albany Congress of 1754 was a significant occasion that highlighted the colonies' devotion to self-government. A strategy for colonial defense against French and Native American threats was discussed at this gathering of colonial delegates.
The way the colonists responded to British attempts to exercise more control over the colonies also revealed how strongly they believed in self-governance. For instance, the colonies fiercely opposed the Stamp Act of 1765, which levied duties on a variety of printed products.
The Boston Tea Party of 1773 was another example of colonial resistance to British imperial authority. In response to the British government's decision to grant a monopoly on tea imports to the British East India Company, a group of colonists boarded several British ships and dumped their cargo of tea into Boston Harbor.
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If triangle STU is congruent to triangle HIJ, then what corresponding parts are congruent?
Answers:
A. Angle I and Angle U
B. Line TU and Line HI
C. Angle I and Angle S
D. Line US and Line JH
Answer:
D. Line US and Line JH
Explanation:
STU ≅ HIJ
Angles : S≅H, T≅I, U≅J
Lines : ST≅HI, TU≅IJ, US≅JH
All of the following are true except _____. Responses having career goals helps identify direction in one's career path having career goals helps identify direction in one's career path having career goals ensures success in the job market having career goals ensures success in the job market having career goals helps one focus their actions and choices having career goals helps one focus their actions and choices having goals gives us purpose and a reason for doing what needs to be done having goals gives us purpose and a reason for doing what needs to be done
All of the following are true except "having career goals ensures success in the job market."
What is a career goal?Career objectives are targets. Things, jobs, and situations in your professional life that you have set your sights on. They can be short-term, such as receiving a promotion or certification, or long-term, such as owning your own successful business or becoming an executive at your ideal firm.
Setting goals is vital because it inspires and motivates you. A well-planned aim will grow. You may give yourself more by emphasizing the importance of objectives in your life.
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Song: Lovers Rock - TV Girl
Why do you think the artist named the song what they did?
What is the attitude of the speaker/singer?
Identify important tools and turns
What do you think the main theme or message of the song is?
The artist named the song in the way they did to pass a metaphorical message.
Why do you think the artist named the song what they did?The attitude of the singer is one of regret and one who wants to mend a relationship. Note that attitude is reflected in the tone of the lyrics.
The them of the song is Love Gone sour.
Note that Metaphors and tones are tools in literature that are used for expression of thought and communication of central idea.
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If you're walking up stairs, then stop and move backwards back down, are you ever standing backwards?
The lifting of traditional restrictions outlined in the passage contributed most directly to what political development in the Ottoman Empire?
The loss of government power
The reformation of the justice system
The abolition of the guild system
The creation of modern infrastructure
The reformation of the justice system was the political development in the Ottoman Empire that was most directly influenced by the loosening of the conventional limits mentioned in the passage. As a result, option (B) is correct.
The Ottoman Empire reached its height of strength and prosperity during Suleiman the Magnificent's rule, as well as the maximum level of development in its political, social, and political development .
The empire had 32 provinces at the start of the 17th century, along with many vassal states. Over the course of centuries, some of these received varying forms of autonomy, while others were subsequently integrated into the Ottoman Empire.
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FRQ:
Augusta is a student on a trip to a new city with her art class. Students are told that if they become separated from the group during the trip, they should locate the duck pond at the county park and wait there for their teacher. Upon arriving in the city, the students take a bus tour of the city that includes a stop at the duck pond. On the second day of the trip, Augusta becomes separated from the group, and her phone battery dies. She begins looking for the duck pond.
Explain how each of the following might help Augusta in the process of finding the duck pond.
Episodic memory
Augusta’s high level of the Big Five trait of extraversion
Hippocampus
Insight learning
After Augusta rejoins the group, the students visit a store with unique but expensive merchandise. Explain how each of the following might be related to Augusta’s purchasing behaviors.
Positive punishment
Perceptual set
Formal operational thinking
Note that the following explanation which have to do with how the brain parts work are given below.
How does each of the following might help Augusta in the process of finding the duck pond?Episodic memory is the memory that lets us recall things like where we parked our car or other prior experiences. Augusta will have to rely on her episodic memory to remember where she saw the duck pond so that she can return there.
Hippocampus: The hippocampus is a memory area that aids in the formation of explicit memories. Augusts will unconsciously use her hippocampus to recall where she saw the duck pond and the landmarks around it to assist her find the way to the pond.
Insight learning is a sort of learning that entails rebuilding the factors around an issue in order to arrive at a solution. Augusta can use her insight learning to consider a restaurant near the duck pond and locate a way there that leads to the duck pond. Instead of just seeking for the duck pond, she alters her perspective on the situation in search of a simpler solution.
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Some students have cupcakes with purple sprinkles and others have cupcakes with yellow sprinkles. You start to identify more closely with those students who share your sprinkle color and you have bad feelings for those with the opposing sprinkle color.
_____ , _____ bias, and ______ are concepts from the social psychology unit that can help explain what is happening
Ingroup bias, outgroup bias, and social identity are concepts from the social psychology unit that can help explain what is happening.
What is the Ingroup bias about?Ingroup bias is the ability to favor and appear positive states of mind towards individuals who have a place to the same bunch as oneself, whereas appearing negative demeanors towards those who have a place to distinctive bunches.
In this case, your ingroup would be the student who have cupcakes with purple sprinkles, whereas the outgroup would be the understudies who have cupcakes with yellow sprinkles. You distinguish more closely along with your ingroup.
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Using the illustration of a pyramid, explain how society was organized in the South. Include free blacks as well as the groups outlined on page 180
In the antebellum period, which covered the years from the Union's formation to the Civil War, free blacks were very vocal about the injustice of slavery. But whether they lived in the North or the South influenced how they could express themselves.
Blacks who were free in the South remained to exist in the shadow of slavery and were not permitted to move or congregate as freely as those in the North. Additionally, it was more difficult for them to establish and maintain fraternal organizations like the Masons, churches, and schools.
Even during the colonial era, several discriminatory regulations restricted the lives of liberated African Americans, but they were nonetheless important members of American society, particularly in the North. Black male troops served in the American Revolution and the Civil War.
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does anyone have the answers to the ap human geography assignment TWO MODELS OF DELVOPMENT: ROSTOWS MODERNIZATION THEROY & WALLERSTEINS WOLRD SYSTEMS THEROY
Rostow's theory suggests countries go through stages of economic growth and development and that it is possible to achieve economic prosperity through modernization.
Wallerstein's theory suggest global economic system is divided into core, semi-periphery and periphery.
What are the key differences between the theories?Rostow's theory is based on the idea that all nations can achieve economic prosperity through modernization while Wallerstein's theory views the global economic system as inherently unequal and exploitative.
Rostow's theory suggests that economic growth occurs in stages, while Wallerstein's theory divides countries into core, semi-periphery and periphery based on their position in the global economy.
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how do you find angular velocity?
The angular velocity of the merry go round after one revolution is 2.24 rad/s.
How to calculate the angular velocity0.0 N·m = (50.0 kg·m^2)αsin(90°)
Solving for α, we get:
α = 0.4 rad/s^2
Now we can use the equation of rotational kinematics to find the final angular velocity:
ωf^2 = ωi^2 + 2αθ
Since the merry go round completes one revolution (360°) in one period, the angular displacement is:
θ = 2π = 6.28 rad
We can assume that the initial angular velocity is zero, since the merry go round starts from rest. Plugging in the values we have, we get:
ωf^2 = 0 + 2(0.4 rad/s^2)(6.28 rad)
ωf^2 = 5.024 rad^2/s^2
Taking the square root of both sides, we get:
ωf = 2.24 rad/s
Therefore, the angular velocity of the merry go round after one revolution is 2.24 rad/s.
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PLEASE ANSWER BOTH
LOTS OF POINTS
b) Explain ONE similarity in how the development of new medical innovations and agricultural technologies in the twentieth century affected the environment
c ) Explain ONE major change in global culture in the late twentieth century
The twentieth century saw the emergence of new agricultural and medical technology, both of which had an impact on the environment by increasing the usage of synthetic chemicals.
Synthetic pesticides, fertilizers, and other chemicals are used in agriculture, which has enhanced crop yields and helped feed a growing population, but it has also resulted in soil and water resource pollution, harm to non-target species, and the emergence of pests that are pesticide-resistant.
Technology in the fields of medicine and agriculture has both greatly benefited civilization, but they have also had unforeseen negative effects on the environment, emphasizing the need for responsible innovation and sustainable practices.
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