scripture, the sacraments, and _____ are three important ways christ offers us the opportunity to get to know him and receive his grace.

Answers

Answer 1

Scripture, the sacraments, and prayer are three important ways through which Christ offers us the opportunity to get to know Him and receive His grace.

In Christian theology, Scripture, the sacraments, and prayer are considered essential avenues for encountering and experiencing the presence of Christ and receiving His grace.

Scripture, particularly the Bible, is regarded as the inspired Word of God, containing teachings, narratives, and revelations about God's plan for humanity.

The sacraments are sacred rituals instituted by Christ Himself, through which believers receive God's grace. Baptism, Eucharist (also known as Holy Communion or the Lord's Supper), Confirmation, Reconciliation (Confession), Anointing of the Sick, Matrimony, and Holy Orders are the seven sacraments recognized in various Christian traditions.

Prayer, both communal and personal, is a fundamental aspect of Christian spirituality. Through prayer, individuals engage in a direct and personal dialogue with God, expressing their praise, thanksgiving, petitions, and supplications.

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Related Questions

Who is responsible for civic education?

Answers

Sustained and systematic attention should be given to civic education in the K-12 curriculum. Although the National Education Goals, as well as the goals, curricular requirements, and policies of e...

2. Schools should thoroughly examine the "informal cu...

CIVIC EDUCATION

Civic education is the process of educating citizens about the rights and responsibilities of living in a democratic society. The responsibility for civic education can be shared by different groups and individuals. Here are some examples:

Government: In many countries, governments have a responsibility to ensure that citizens are educated about their rights and responsibilities as citizens. This may be done through the education system, where civic education is often included as part of the curriculum.

Schools and educators: Schools and educators play a crucial role in teaching civic education. They are responsible for creating lesson plans and educational materials that cover topics such as government, law, and civil rights and presenting them in a way that is accessible to students.

Families: Families also have a role to play in educating their children about civic responsibilities. They can do this by discussing current events, encouraging participation in civic activities, and modeling good citizenship.

Civil society organizations: groups like NGOs, charities, think-tanks, etc. can also play a role in civic education by promoting civic engagement, advocating for democracy and human rights, or offering educational programs and activities that promote active participation in civic life.

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How do humans impact the Earth's four systems?

Answers

The physical environment is negatively impacted by a variety of human activities, including deforestation, pollution, overpopulation, and the combustion of fossil fuels.

How do humans impact Earth's systems?

Fossil fuel combustion is one of the negative effects that pollutes the atmosphere. Our use of landfills has an impact on the geosphere. Ocean waste discharge damages the hydrosphere. Additionally, habitat loss and overfishing can lessen the variety of organisms in the biosphere.

Global warming, soil erosion, poor air quality, and groundwater pollution have all been brought on by changes like these. All four realms of Earth are susceptible to human influence. Burning fossil fuels can cause pollutants to be released into the atmosphere. Garbage accumulated by humans in landfills has an impact on the geosphere. 

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which culture is thought to be the first to develop a compass?

Answers

The culture that was thought to be the first to develop a compass was Song Dynasty. Hence, the correct option is (B).

What Is The History Of The Compass?

Compass is a navigation aid that has been used since ancient times. Basically, the compass will provide directions using the earth's magnetic field which provides information about the cardinal directions so that people using the compass can know the right direction when traveling. The Song dynasty in China was the first culture to develop a compass where they used the compass for military needs from 1040 to 1044. Development of the compass continued until the compass could be used for sea exploration needs in 1111.

The question is incomplete, but most probably your question was:

The culture that is thought to be the first to develop a compass is

A. Wampanoag

B. Song Dynasty

C. Algonquin

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I
285. Which would be difficult in a command economy?
A. individuals trying to start a new business
B. workers forced to do jobs they did not care to do
C. local crafts produced before manufactured goods
D. government planners set prices for goods produced

Answers

A command economy is one in which a single, centralised authority has control over the means of production.

What makes centralization crucial?

With centralization, an organisation, or at least its top levels, can regulate the actions of lower-level workers to ensure that they are in line with its objectives.

What advantages does centralization offer?

An organisational structure known as centralization grants senior management the authority to make decisions. The power to devise and select goals and tactics is delegated to a small number of carefully chosen members. Additionally, it makes the organization's goals and mission more clear, both of which are necessary for success.

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15. Explain how trade helps the public get the goods and services it wants and needs.

Answers

The voluntary exchange of commodities or services between economic players is referred to as a trade. Trade provides a way for economically responsible growth and fosters a real interest in one another's prosperity.

How does commerce facilitate the public's access to products and services?

Trade advances consumer welfare, which is ultimately what matters most, as well as economic growth, productivity, and technical advancement.

Trade explicitly references middle- and relatively lower-income households by reducing prices and broadening the selection of products available to consumers.

People willingly exchange goods, products, and services because they anticipate benefiting from the transaction.

People value things more when they buy them than when they pay for them, but they value things less when they sell them.

Trade promotes competition, lowers global prices, and raises the purchasing power of individual consumers' incomes, all of which benefit consumers and build consumer surplus.

Domestic monopolies are also destroyed by trade as they are challenged by more productive foreign businesses.

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______ asserts that rich countries have systematically impoverished low-income countries and made them dependent on the rich ones

Answers

Dependency According to theorists, rich countries amassed their wealth by exploiting poorer countries.

What is an illustration of a dependency?

From the end to the beginning: In this case, task A must be completed before project B can begin. This is probably the most common example of such a project dependency. A fabrication team, for example, cannot begin construction until the final product has been approved.

What exactly is form dependency?

To make your forms more interactive, use dependencies to add conditional conduct based on the preferences selected by followers in specific fields or questions. Within in the form block, you can also include Field Updates, which allow you to swap then choose lists and set values for other fields.

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alcohol is prominent in how many assaults annually?
50,000
150,000
250,000
100,000
200,000
Not sure

Answers

Not sure to say exactly how  numerous assaults are related to alcohol annually,

As there's no  agreement on the  description of an alcohol- related assault. still, according to the Centers for Disease Control and Prevention,  inordinate alcohol consumption is estimated to be involved in  roughly half of all violent incidents in the United States each time. This includes physical assaults, sex-ual assaults, homicides, and other violent acts. also,  exploration suggests that alcohol is a factor in over to two- thirds of all homicides and up to 70 of all assaults. thus, it's likely that alcohol is involved in  further than,000 assaults each time, though it's  delicate to give a more specific estimate.

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This type of front is stalled and rain may linger for days
answer choices
cold front
warm front
high front
stationary front

Answers

The type of front which is stalled and rain may linger for days is stationary front.

A stationary front is a weather front or transition zone between two air masses (cold and warm) when neither is moving faster than 5 knots at the ground surface. Because a stationary front separates two air masses, there are frequently differences in air temperature and wind on opposite sides of it. The weather along a stationary front is often cloudy, and rain or snow falls frequently, particularly if the front is in an area of low atmospheric pressure, thus rain may linger for days.

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By utilizing brain scanning, cognitive neuroscientists can:

Answers

By utilizing brain scanning cognitive neuroscientist, can detect and pinpoint the brain activity related to particular tasks. In order to image the anatomy or functioning of the brain, procedures that are typically non invasive are used.

X-rays, radioactive labeling, magnetic fields produced by the brain's electrical activity, optical absorption of light, or the paramagnetic characteristic of haemoglobin are some of the tools used in brain imaging. For scientists researching the brain, procedures like PET (Positron Emission Tomography) or MRI (Magnetic Resonance Imaging) are essential. With the aid of these technologies, researchers can peer inside the brain to observe the results of illnesses, accidents, and even medications and other chemicals. Modern neuroimaging methods show both structure and function. They demonstrate the anatomy of the brain, including the consistency of its parts and connections between them. They clarify its physiological, electrical, and metabolic processes.

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the fifteenth amendment to the united states constitution established

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The Fifteenth Amendment to the United States Constitution established the right of citizens to vote regardless of "race, color, or previous condition of servitude." It was ratified in 1870.

The Fifteenth Amendment: Establishing Equality in Voting Rights

The Fifteenth Amendment to the United States Constitution, ratified in 1870, guaranteed that all citizens of the United States have the right to vote regardless of their race, color, or previous condition of servitude. This amendment was a major step forward in the struggle for civil rights and equality, as it ensured that every American citizen was given an equal opportunity to participate in the democratic process. This amendment was a part of the Reconstruction Amendments that followed the Civil War and greatly increased the rights of African Americans. It was a huge step forward in the fight for equality and marked the beginning of a new era in American history.

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According to the article, why have UN leader been aked to renew their commitment to reducing world poverty?

Answers

UN leaders have been asked to renew their commitment to reducing world poverty because poverty is still a major global challenge. Despite progress in some areas, many people still live in extreme poverty, and the COVID-19 pandemic has exacerbated the problem.

Renewing the UN's Commitment to Reducing World Poverty

Over the years, the United Nations has worked to reduce world poverty and many of their efforts have been successful. Unfortunately, poverty is still a major global challenge, and the COVID-19 pandemic has only exacerbated the situation. Nearly half of the world's population still lives in extreme poverty, and many of these people are facing even greater challenges due to the economic and social disruption caused by the pandemic. Therefore, UN leaders have been asked to renew their commitment to reducing world poverty so that these people can be provided with the resources and assistance they need to improve their quality of life.

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Describe how you will ensure that the beneficiary's housing needs are met, including where the beneficiary will reside during their temporary stay in the united states, if known.

Answers

During the beneficiary's parole in the United States, the following actions to make sure they have a secure place to live:

Examine the housing possibilities that are available in the neighborhood where the beneficiary plans to reside. Apartments, homes, or short-term lodging like a shelter or hostel may fall under this category.When picking accommodation, take the beneficiary's requirements and preferences into account. For instance, if the recipient is a parent, I will search for housing choices near schools.Make that the beneficiary's living conditions are secure and appropriate by getting in touch with the housing provider.If necessary, give the beneficiary financial support to aid with housing expenses.Make sure the beneficiary's housing needs are being met by doing frequent check-ins with them.

What does the term "beneficiaries" mean?

A beneficiary is the individual or entity who receives a deceased person's assets following their passing. Beneficiaries may be specified as inheritors for retirement accounts, trust funds, and life insurance, among other things.

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how many states does yellowstone national park cover?

Answers

Answer:

Greater than two US states together are Yellowstone.

While Wyoming makes up the great bulk of its area, it also extends into the nearby states of Montana and Idaho. Although one of the smaller national parks in the United States, it is notable for its high density of geysers, mud pots, steam vents, and hot springs.

Explanation: Brainliest pls

Explain why each of the following limits the influence of public opinion on the voting decisions of members of Congress.

Answers

Public opinion is boosted by competitive reelections because representatives are required to reflect the interests of the people; if they fail to do so, someone else can fill the vacancy.

How are politicians affected by public opinion?

With the assistance of the general public, a candidate's campaign may be centered on issues that are important to voters. Candidates can determine from public opinion which constituencies or groups they need to appeal to more and which constituencies or groups they have already won or lost.

What impact does voter opinion have on elections?

Use of polls allows voters to discover more about each candidate. Polls can reveal to voters which causes the candidates favour. Polls are used to determine which candidates are likely to win, and the media then interviews those people. Polls provide an explanation for which candidates should win the election.

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When World War I began, the official United States policy was
A.to enter on the side of allied powers.
B.to remain militarily and politically neutral
C. to enter on the side of the Central powers.
D. to support the Central Powers by providing war materials

Answers

B) To remain militarily and politically neutral

The battle of Sabine Pass is important because?

A: it marks the failed attempt of the Union Army to invade the Confederate state of Texas.

B: it was a stalemate between Union and Confederate armies.

C: it was won by the Union soldiers and marked a turning point in the Western front of the war.

D: it resulted in the largest Confederate casualty in the war.

Answers

The Battle of Sabine Pass is important because it "marked the failure of the Union Army attempt to invade Confederate Texas state"

What happened at the Battle of Sabine Pass?

The Second Battle of Sabine Pass (September 8, 1863) was a failed Union attempt to invade Confederate Texas during the Civil War. The Union Navy supported the operation and lost three gunboats during the battle, two captured and one destroyed.

Why is the Battle of Sabine Pass important?

The Battle of Sabine Pass on September 8, 1863 repulsed one of his attempts by Union forces to invade and occupy parts of Texas during the Civil War. The US Navy blockaded the Texas coast beginning in the summer of 1861, and the Confederates fortified major ports.

How did the Battle of Sabine Pass begin?

At about 6: a.m. on September 8, 1863, a Union flotilla of 4 gunboats and 7 troops transports steamed into Sabine Pass and up Sabine River for reducing Fort Griffin and landing troops to start occupying Texas.

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Vulnerability is the condition of being weak or susceptible to the actions of others who use threats, power, or manipulation to control people. Examples of vulnerable population groups include elderly people, mentally disabled people, and _____.

Responses

a. intellectually advantaged people
b. educationally disadvantaged people
c. pet owners
d. homeowners

Answers

Answer:

b. educationally disadvantaged people

Explanation:

If you don't have proper education, the world can eat you alive since you are vulnerable.

What contributions did George Herbert Mead and Charles Horton
Cooley make toward the development of symbolic interactionism?

Answers

Cooley and Mead recognized that groups are affected by means of bottom-up as well as top-down structuring. The actual interactions between humans are the basis for large-scale crew behavior.

What theories did Charles Horton Cooley and George Herbert Mead developed?

His objective was to strengthen a principle of 'communication' and 'understanding' as the foundation of pragmatistic sociology. Communication is the decisive beginning point of Cooley's and Mead's sociological idea of 'social order' and 'social change' as levels in the method of action.

What idea did George Herbert Mead propose?

George Herbert Mead developed the concept of self, which explains that one's identity emerges out of external social interactions and interior emotions of oneself. Self is no longer evident at start however emerges over time thru language, play, and games.  

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The fourth industrial revolution is where advances in?

Answers

The fourth industrial revolution is where advances in technology.

Technology advancements are fundamentally changing how we work, live, study, and interact with one another throughout the fourth industrial revolution.

Beginning now, a new era that develops and builds on the effects of digitization in fresh and unexpected ways is known as the Fourth Industrial Revolution. Emerging technologies are changing our life in ways that imply this is the case. Determining how we may make sure that the exact changes we are through benefit the vast majority rather than a small number, both collectively and individually, requires some thought.

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Ethical standards written by social services associations generally follow a format that begins with a/an _____.
PLEASE ANSWER I HAVE ONLY A LITTLE BIT OF TIME LEFT
Responses

A. preamble

B. glossary

C. introduction

D. table of contents

Answers

Ethical standards written by social services associations generally follow a format that begins with a: A. preamble.

What are ethics?

In Business management, ethics can be defined as a set of both written and unwritten principles, values, or rules of moral conduct that guides and governs human behaviors.

What are the Corporate Code of Ethics?

Based on the Corporate Code of Ethics, there are six (6) universal ethical standards and these include the following;

RespectCitizenshipResponsibilityCaringTrustworthiness.Fairness and honesty.

Generally speaking, all of the ethical standards that are written by social services associations generally follow a format that must begin with a preamble because it's an invaluable and irreplaceable legacy for future generations.

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How many international organizations are there in the world?

Answers

Answer:

The number of international organizations in the world is constantly changing.

Explanation:

The number of international organizations in the world is constantly changing. This is because, according to the United Nations, there are currently 193 Member States, and as of 2020, there were over 8,000 international non-governmental organizations (INGOs) and around 350 intergovernmental organizations (IGOs). However, this number is likely to be higher due to the large number of organizations that operate at the local, regional, or international level.

Who has the power to make decisions in a monarchy form of government?

Answers

Answer:

The Monarch

Explanation:

What is one argument in favor of federal judges having lifetime appointments?

Answers

Answer: The argument that favors federal judges having lifetime appointments is that the judges can rule on cases without fearing retribution.

Explanation:

Answer:

Federal judges are appointed for life as a result of the US Constitution's provision (Article III). 2. In order for courts to make decisions free from political or public pressure, the Constitution's authors guaranteed federal judges employment security.

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What is one effective strategy used by political campaigns quizlet?

Answers

One effective strategy used by political campaigns is targeted advertising. By using data on demographics and voting patterns, campaigns can target specific groups of voters with tailored messages that are more likely to resonate with them.

This can be done through various means such as social media ads, email campaigns, and door-to-door canvassing. By focusing their efforts on key groups of voters, campaigns can maximize their chances of winning over crucial voting blocs, and use their resources more efficiently. Additionally, using data analytics to track voter sentiment and engagement, campaigns can make adjustments to their messaging as the campaign progresses. This can help campaigns to adapt to changing voter sentiment and make sure their message is reaching the right people at the right time.

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Who farmed the land in the sharecropping system?

African Americans and poor whites
Landowners
Plantation owners
School children and Native Americans

Answers

Answer:

The landowners farmed the land in the sharecropping system

Explanation:

Sharecropping is a form of tenant farming.

What impact did the Treaty of Fontainebleau have on Louisiana?

Answers

The impact of the Treaty of Fontainebleau on Louisiana was France gained the Louisiana territory.

What was the Treaty of Fontainebleau ?

Under the Treaty of Fontainebleau, France ceded control of its territories in modern-day Canada, the Great Lakes region, and parts of the Caribbean to Great Britain. In return, France received Spanish territories in modern-day Florida, Louisiana, and the Philippines.

As a result of this treaty, France regained control of Louisiana, which had been ceded to Spain in the Treaty of Paris (1763). However, it was not long lasting as Louisiana was ceded by France to Spain again in 1800 under the Treaty of San Ildefonso.

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which of following would be the most developmentally appropriate and efficient method of toilet training based on research

Answers

Instead of punishing patients, carers should gently encourage them and give them praise when they succeed.

What purpose does encouragement serve?

The benefit of encouraging is that it highlights a person's worth. Consider the word's inclusion of the word "courage." Encouragement literally translates as "to give another courage." It is a present that gives people the confidence to think they are worthwhile.

Why is motivation so crucial?

Encouragement strengthens positive behaviours

Encouragement confirms and reaffirms that "just doing right thing" is what matters most, even in trying circumstances. Encouragement shows people they're on the correct track and aids in the maintenance of productive, moral, and ethical work habits.

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There is no greater tyranny than that which is perpetrated under the shield of the law and in the name of justice.

Answers

"There's no greater tyranny than one perpetrated under the shield of the law and in the name of justice." is a quote by Charles de Montesquieu.

Tyranny is a form of government in which a single person or group has absolute power over the people. It is characterized by oppressive rule, often with cruel and unjust punishments. Justice, on the other hand, is the concept of fairness and equality.

It is based on the idea that all people should be treated equally and fairly, regardless of their race, gender, or social class. Justice is the opposite of tyranny, as it seeks to protect the rights of individuals and ensure that everyone is treated fairly and with respect.

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What was the cash and carry plan?

Answers

Answer:

The cash and carry plan was a policy proposed by President Franklin D. Roosevelt in 1939. The plan allowed the United States to trade with countries that had been involved in World War II, while at the same time remaining neutral. The plan allowed countries to purchase military equipment from the United States. The country had to pay for the items in cash and then arrange for their own transportation. This policy allowed the United States to remain neutral while still trading with countries involved in the war.

Explanation:

The Cash and Carry Plan was a policy introduced by the United States in 1939 that allowed the Allies to purchase weapons from the United States on a cash basis, while also allowing them to transport the weapons across the ocean on their own ships. This policy was a response to the growing threat of Nazi Germany and was intended to provide support to the Allies without the US becoming directly involved in the war.

The Cash and Carry Plan allowed the US to maintain neutrality while still providing military aid to the Allies. The US would only provide military aid if the Allies could pay for the weapons upfront and transport them on their own vessels. This policy allowed the US to avoid any direct involvement in the war, while still providing support to the Allied forces.

The Cash and Carry Plan was a significant factor in helping the Allies to defeat Nazi Germany. By providing weapons on a cash basis, the Allies were able to build up their military strength and ultimately defeat Nazi Germany.

in addition to foreign travel requirements those with sci access must ____

Answers

in addition to foreign travel requirements those with sci access must Department of Commerce's Intelligence Community .

A career at a national intelligence agency is not a post that can be filled quickly; it needs significant commitment, educational background, and successful completion of a protracted government hiring process. Certain qualities, abilities, and experiences will make you stand out to hiring managers in a field of competitive applicants.

The U.S. Intelligence Community is a federation of executive branch agencies and organizations that cooperate and operate independently to carry out intelligence operations required for the management of international relations and the preservation of American national security.

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Other Questions
For the reaction HCONH2(g) = NH3(g) + CO(g), K = 4.84 at 400 K what can be said about this reaction at this temperature? a. The equilibrium lies far to the right. b. The reaction will proceed very slowly. c. The reaction contains significant amounts of products and reactants at equilibrium. d. The equilibrium lies far to the left. stefan is conducting research on gene therapy Licensing would be a good option for firms in which of the following industries?A.High-technology industries in which protecting firm-specific expertise is of paramount importance.B.Global oligopolies, in which competitive interdependence requires that multinational firms maintain tight control over foreign operations.C.Industries in which intense cost pressures require that multinational firms maintain tight control over foreign operations.D.In fragmented, low-technology industries in which globally dispersed manufacturing is not an option. when the u.s. government passed the foreign service intelligence act, it was the first time the government established a(n) _____ court. sears opened up department stores in mexico and spain, where it found qualified local manufacturers to produce many of the products it sells. this type of joint venture is known as ________. Standard retention time of dichloromethane solvent: 2.31 minStandard retention time of toluene: 12.16 minStandard retention time of cyclohexene: 5.68 minRetention time of toluene:12.21 minArea for the tolene peak:2.98 cm2Retention time of cyclohexane:5.69 minArea for the cyclohexane peak:0.45 cm2Percent composition of toluene?Percent composition of cyclohexane contaminant?Based on GC data, how pure was your toluene fraction? integrated behavioral health in primary care: step-by-step guidance for assessment and intervention. true or false? a doubly positively charged ion with velocity 6.9106 m/s moves in a path of radius 30 cm in a magnetic field of 0.8 t in a mass spectrometer. what is the mass of this ion?3.3 x 10-27 kg11 x 10-27 kg6.7 x 10-27 kg8.2 x 10-27 kg4.5 x 10-27 kg The coordinate plane below represents a city. Points A through F are schools in the city. Graph of the coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3. Part A: Using the graph above, create a system of inequalities that only contain points B and C in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A. Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend Circle A has twice the radius of circle B. Which of the following is true of the ratio of the circumference to the diameter of these two circles?a. The ratio of circle A is twice the ratio of circle B.b. The ratio of circle A is half the ratio of circle B.c. The ratio of circle A is equal to the ratio of circle B.d. It is impossible to compare these ratios without more information. can a sparse index be used in the implementation of an aggregate function say that z is a continuous random variable with a mean of 15 and a standard deviation of 7. write this distribution out in formal notation. A host starts a TCP transmission with an EstimatedRTT of 16.3ms (from the "handshake"). The host then sends 3 packets and records the RTT for each:SampleRTT1 = 16.3 msSampleRTT2 = 23.3 msSampleRTT3 = 28.5 ms(NOTE: SampleRTT1 is the "oldest"; SampleRTT3 is the most recent.)Using an exponential weighted moving average with a weight of 0.4 given to the most recent sample, what is the EstimatedRTT for packet #4? Give answer in miliseconds, rounded to one decimal place, without units, so for an answer of 0.01146 seconds, you would enter "11.5" without the quotes. The circumference of an ellipse is approximated by C = 27v ?? where 2a and 26 are the lengths ofthe axes of the ellipse. Which equation is the result of solving the formula of the circumference for b? Please help!!! Correct answer gets brainliest!!! Spherical ball bearings of 1/2-inch diameter (McMaster p/n 34665K32) are dumped into a 55-gallon drum (McMaster p/n 4115T68) of water in order to cool quickly after heat treating. The bearings are initially at 800 C and are made from 2017-T4 Aluminum. The properties of the aluminum may be considered independent of temperature. The water is initially at 20 C. The properties of water are assumed to be constant with temperature. The outside of the container is insulated, so no heat is lost from the water to the surroundings during the process. However, the volume of water is sufficiently small that the water itself changes temperature substantially during the cooling process. The heat transfer coefficient between the surface of the parts and the water is 350 W/m-K. a.) Using only approved websites listed on the cover of this exam) or your textbook, deter- mine the density, specific heat and any other relevant properties of 2017-T4 aluminum and water necessary to anlayze this problem. b.) Evaluate whether a single ball bearing can be treated with a lumped capacitance approximation. c.) Assume both the water and the bearings can be treated as lumped capacitances. Derive two ordinary differential equations that describe the temperature of the bearings, To, and the temperature of the water, Tc. d.) Prepare the two equations for further analysis by putting them in the form d = a(T-T) dt where a is a suitable constant. e.) Subtract the two ODEs that you derived above from each other to develop a single ODE that can be expressed in terms of the temperature difference, 8 = T. T. f.) Solve the new ODE just derived in order to obtain an expression for 8 as a function of time, t. g.) Substitute the result back into the original ODEs and solve in order to develop expres- sions for T, and To as functions of time. h.) Plot T, and T. vs. time on a single plot if 100 bearings are submerged in the drum. i.) Based on your plot, how much time will elapse before a state of equilibrium is reached and what is the equilibrium temerpature? How would this change if the 55-gallon drum were not insulated? j.) Prepare a single plot that shows To and T. vs. time where the number of bearings submerged in the drum is a parameter that varies between 1000 and 100,000. k.) If the bearings must be cooled to 40C, is there a limit to the number of bearings that can be submerged in the drum? How many is this? Find the length of side x to the nearest tenth. A department store is interested in the average balance that is carried on its stores credit card. A sample of 40 accounts reveals an average balance of $1,250 and a standard deviation of $350. [Use a t-multiple=2.0227]1. What sample size would be needed to ensure that we could estimate the true mean account balance and have only 5 chances in 100 of being off by more than $100? [In order to make a conservative estimate of this sample size, use a z-multiple of 1.96.]a. 47b. 40c. 29d. 48 After Reading - "An Irish Airman Foresees his Death", "The Soldier", and "Dreamers"In "Dreamers," what do the soldiers dream of "when the guns begin"? 2. (10 pts.) at room temperature (25c), a 5.000 mm diameter tungsten pin is too large for a 4.999 mm diameter hole in a nickel bar. at what temperature will these two parts perfectly fit?