What is the image of (-4,8) after a dilation by a scale factor of 1/4 centered at the origin (Dilation Of A Point/Mathematics High School)

Answers

Answer 1

When a point is dilated by a scale factor of k, the distance between the point and the center of dilation is multiplied by k. The point is moved closer to the center of dilation if k is less than 1, and further away from the center of dilation if k is greater than 1.

In this case, the point (-4,8) is dilated by a scale factor of 1/4 centered at the origin. Since the scale factor is less than 1, the point will be moved closer to the origin. To find the new coordinates, we multiply the distance between the point and the origin by 1/4. The distance between (-4,8) and the origin is:

sqrt((-4)^2 + 8^2) = sqrt(80)

So, the new distance will be:

1/4 * sqrt(80) = sqrt(80)/4 = 2sqrt(5)

To find the new x-coordinate, we multiply the x-coordinate of the point by 1/4:

-4 * 1/4 = -1

To find the new y-coordinate, we multiply the y-coordinate of the point by 1/4:

8 * 1/4 = 2

Therefore, the image of (-4,8) after a dilation by a scale factor of 1/4 centered at the origin is (-1,2).


Related Questions

Please Someone Help Me

1.Compare and contrast the characteristics of monopolistically competitive, monopolistic, and perfectly competitive markets.

2.Provide an organization that is an example of each and discuss how changes in their pricing affect your purchase decisions.

Answers

Monopolistically competitive markets involve many sellers offering differentiated products,

monopolistic markets have a single seller, and

perfectly competitive markets have identical products and many sellers.

What is an example of each and discuss how changes in their pricing affect your purchase decisions?

Examples:

Monopolistically competitive (e.g., restaurants), changes in pricing may influence dining choices;

Monopolistic (e.g., Microsoft), price changes affect software purchasing decisions;

Perfectly competitive (e.g., agricultural products), price fluctuations impact consumer choices based on affordability.

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1. In a perfectly competitive market, there are many buyers and sellers, no barriers to entry, and identical products. In a monopolistically competitive market, there are many buyers and sellers, low barriers to entry, and differentiated products. In a monopolistic market, there is only one seller, and there are high barriers to entry.

2. An example of a perfectly competitive market is the agriculture industry. An example of a monopolistically competitive market is the fast food industry. An example of a monopolistic market is the utility industry. In the agriculture industry, changes in pricing do not affect my purchase decisions because all products are identical. In the fast food industry, changes in pricing do affect my purchase decisions because there are many options available. In the utility industry, changes in pricing do not affect my purchase decisions because there is only one provider.

the rivalry between students to be the high school valedictorian is an example of

Answers

Answer:

competition

Explanation:

The rivalry between students to be the high school valedictorian is an example of competition

what is format painter

Answers

Answer:

The format painter lets you copy all of the formatting from one object and apply it to another one – think of it as copying and pasting for formatting. Select the text or graphic that has the formatting that you want to copy.

Explanation:

Answer:

Format painter is a tool for copying and pasting formats from one object to apply it to another one.

18. Which biogeochemical cycle could be disrupted without causing much harm to living things?
A. Carbon
B. Nitrogen
C. Phosphorus
D. None - A disruption in any of these biogeochemical cycles would have far-reaching negative consequences for
living things

Answers

I could be wrong but this one seems to make the most sense so D. none

Which statement best describes the role of nature in King Lear?

A.
Nature is viewed as something to be tamed and conquered by many different characters.

B.
Nature functions as a stark contrast against the insular court and royal lifestyle of King Lear.

C.
Nature plays a critical role in exposing the characters to different environments throughout the play.

D.
Nature in many forms is the constant backdrop of the play and characters interact with it in different ways.

E. Nature works in both the background and foreground of the play to highlight how characters view the role of fate.

Answers

The statement that best describes the role of nature in King Lear is option E. Nature works in both the background and foreground of the play to highlight how characters view the role of fate.

What part does nature play in King Lear?

The predominance of the bad characters in King Lear may give us the impression that nature is a terrible force. Edmund contends that nature is a wicked goddess who grants him the evil spirit required to question the existing quo. Thus, his badness is inevitable.

Since the dawn of time, mankind has made mistakes yet has continued. Since the original sin changed the way that human nature was created, mistakes, misunderstandings, and ignorance in general have become commonplace.

Therefore, Nature plays a significant role in the play's background and foreground, highlighting how characters perceive fate.

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Which equation represents a line which is parallel to the line y=-4x-8y=−4x−8?

Answers

Answer:

4x – y = 0

4x = 8y

y – 4x = 22

4x + 8y = 0

(1/4)x + y = 0

The answer is no solutions or all real number

Which is the BEST example of psychologists studying personality? A researcher studies:
1. the trait of patience in many different situations.
2. decision making among adolescents in different situations.
3. death and how different aged children react to it.
4. criminal behavior and the causes behind it.

Answers

Answer:

1. the trait of patience in many different situations.

Explanation:

A psychologist can be defined as an expert or professional who specializes in the scientific study of human emotions, mind, mental processes and behavior, as well as how external factors and conditions influence or affect human beings.

Personality can be defined as a combination of behavioral sets, motivation, cognition, thoughts and emotional patterns that arises from biological and other external factors, which typically distinguish a person from another. Thus, personality is simply the individual differences in the thoughts, emotions, feelings and behavioral patterns of human beings.

Basically, psychologists are able to study a patient's personality through the process of understanding his or her characteristic sets of trait, emotion, motivation, thought and behavioral pattern.

Hence, the best example of psychologists studying personality would typically be a researcher studying the trait of patience in many different situations.

The best example of psychologists studying personality is when a researcher studies is A. the trait of patience in many different situations.

Personality is defined as the behavioral sets, thoughts, motivation, emotional patterns, etc that van be used to differentiate an individual from someone else.

From the given information, the best example of psychologists studying personality is when a researcher studies the trait of patience in many different situations.

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What is a periodical? What is the difference between the periodical title
and the article title?

Answers

Answer:  The title of the article is in sentence-case, meaning only the first word and proper nouns in the title are capitalized. The periodical title is run in title case, and is followed by the volume number which, with the title, is also italicized.

Explanation:

People with higher self-control enjoy higher income, better grades, and good ______

Answers

Good fortunes
Good look

Respond to the prompt with a historically defensible thesis or claim that establishes a line of reasoning.
Describe a broader historical context relevant to the prompt.
Support an argument in response to the prompt using all but one of the documents.
Use at least one additional piece of specific historical evidence (beyond that found in the documents) relevant to an argument about the prompt.
For at least three documents, explain how or why the document’s point of view, purpose, historical situation, and/or audience is relevant to an argument.
Use evidence to corroborate, qualify, or modify an argument that addresses the prompt.


Evaluate the extent to which interactions between Muslim and non-Muslim communities affected attitudes toward Islam or Islamic culture in the period circa 1200-1750.

Answers

Because of their interactions with Muslim communities, non-Muslim communities accepted Islam.

What were the interactions between Muslim and non- Muslim communities?Interactions between Muslim and non-Muslim communities had a significant impact on non-Muslim attitudes toward Islam or Islamic culture because these non-Muslim communities were greatly influenced by Islamic teachings and accepted the religion.In areas that were once dominated by small kingdoms, marauding bandits, or tribal nomads, Islam facilitated the rise of large empires. Another result of Islam's spread was an increase in trade.Military conquest, trade, pilgrimage, and missionaries all contributed to the spread of Islam. Over time, Arab Muslim forces conquered vast territories and established imperial structures.At the time, Muslims were fully committed to their religion, and as a result of this commitment, they demonstrated good behavior, which led non-Muslim communities to accept Islam.

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explain carefully how redundancy improves product reliability.

Answers

Answer:

Redundancy is an engineering technique that improves product reliability by adding backup components or systems. If one component fails, the backup takes over, preventing system failure and improving reliability in multiple ways:

Improved Fault Tolerance: By adding redundancy, a product becomes more tolerant to faults. If one component fails, the redundant component can take over, preventing a complete system failure. This means that the product can continue to operate even if a component fails, improving overall reliability.

Increased System Uptime: Redundancy can increase the uptime of a system by reducing downtime due to component failures. By having a backup component that can take over, the system can continue to operate even if one component fails, reducing the need for maintenance and repair.

Enhanced Performance: Redundancy can also improve the performance of a product by allowing it to operate at full capacity even if one component fails. This means that the product can continue to function at optimal levels, even if a component fails, improving overall reliability.

Better Safety: Redundancy can improve the safety of a product by ensuring that critical components have a backup. This means that if a critical component fails, the redundant component can take over, preventing a potentially hazardous situation.

Redundancy improves product reliability by increasing fault tolerance, uptime, performance, and safety. Engineers can design more reliable, efficient, and safe products by incorporating redundancy.

Which answer BEST explains why employers keep records of the amount of taxes that are deducted from your paycheck?
A. So employees do not have to monitor this information.
B. So they can determine how much employees make.
C. So they can fill out a W-4 for employees.
D.So they can prove that they have submitted the appropriate taxes.

Answers

The correct answer is letter D

Explanation: The employer sends it to the federal government to help pay your income tax bill.

Answer: D. .So they can prove that they have submitted the appropriate taxes.

Need help on an example of theoretical framework in a research proposal​

Answers

Answer:

The theoretical framework for this study is based on the social cognitive theory, which suggests that human behavior is influenced by personal, behavioral, and environmental factors. Specifically, this study will draw on Bandura's theory of self-efficacy, which posits that people's belief in their ability to accomplish a task is a key factor in their success. Additionally, the study will incorporate the social comparison theory, which suggests that individuals evaluate themselves by comparing themselves to others in their social environment, including social media. Finally, the study will utilize the transactional model of stress and coping to understand how individuals manage stress related to social media use and its impact on mental health outcomes.

By using this theoretical framework, the researcher can create a structured plan to test their hypotheses about the relationship between social media use and mental health outcomes.

We are doing a socratic seminar in AP Literature and i need a quick opinion on the following questions:
What should we study in American history?
What is “mercy,” and what does it look like?
Is our ancestral past important? Why?

Answers

"What to study in American history, what mercy is, and the importance of our ancestral past are subjective topics that can generate varied perspectives and opinions."

What does opinions mean?
Opinions are personal judgments, beliefs, or attitudes about something or someone. They are individual viewpoints that reflect a person's thoughts or feelings about a particular topic, issue, or situation. Opinions can be based on a variety of factors such as personal experiences, knowledge, cultural background, values, and emotions. They can be positive, negative, or neutral and can be expressed in various forms such as speech, writing, or actions. Opinions can be subjective, meaning they are influenced by personal biases and may differ from person to person, and are not necessarily based on objective facts or evidence.


Regarding the first question, what to study in American history, opinions may vary depending on different perspectives and interests. Some possible topics to study in American history could include the founding of the country, the American Revolution, slavery and the Civil War, westward expansion, the Progressive Era, the Great Depression, World War II, the Civil Rights Movement, and contemporary political and social issues.

"Mercy" can be defined as a compassionate treatment or forgiveness shown towards someone who has offended or harmed another person. Mercy can take many different forms, such as showing empathy, understanding, and forgiveness towards others, or providing them with an opportunity for redemption and a second chance.

As for the importance of our ancestral past, this is also a topic open to interpretation. Some people might argue that knowing about our ancestral past can help us understand our cultural heritage and identity, and can provide us with a sense of continuity and connection with our past. Others might argue that the past is irrelevant, and that what matters most is the present and the future.

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Compare Traditional, Command, Market and Mixed Economies; What are each systems advantages and disadvantages

Answers

Traditional Economy:
Advantages:

Preservation of cultural and societal traditions.
Strong sense of community and social cohesion.
Sustainable use of resources.
Disadvantages:

Limited economic growth and innovation.
Lack of individual freedom and limited opportunities for social mobility.
Vulnerability to external shocks and changes in the environment.

Why do we have a code of ethics why is it important​

Answers

A code of ethics is important because it clearly lays out the rules for behavior and provides the groundwork for a preemptive warning. While a code of ethics is often not required, many firms and organizations choose to have one.

PSYCHOLOGY -

What is duration?

Duration is the quantity that can be stored.

Duration is a measure of time.

Duration is a measure of the quality of memories.

Duration is to diminish or break down.

Answers

Answer:

Duration is a measure of the quality of memories

Explanation:

Answer:

The answer is C

Explanation:

How has the E-FOIA helped to place government agencies on the Internet?

Answers

The E-FOIA helped to place government agencies on the Internet as it is said to have given the public the right to ask for and also access the records that is kept by any federal agency.

Due to the above all federal agency do have to have an online system of documentation.

What is the Freedom of Information Act?

The Freedom of Information Act (FOIA) is known to be a law that was passed with the aim of opening agency records to all of public view.

Note that under the FOIA, agencies are mandated to publish all of their Federal Register descriptions based on their structure and operating procedures, their substantive laws etc.

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What is the main difference between the flow of energy and nutrients in an ecosystem?

A) Nutrients do not flow through an ecosystem, while energy does.
B) Energy does not flow through an ecosystem, while nutrients do.
C) Energy cycles through an ecosystem, while nutrients do not.
D) Nutrients cycle through an ecosystem, while energy does not.

Answers

Answer:

Nutrients cycle through an ecosystem, while energy does not.

Explanation:

Answer:

D) Nutrients cycle through an ecosystem, while energy does not.

Explanation:

got it right on Edge

I'm about to take an Algebra One end-of-the-year test in about 30 mins,
I'm really stressed about it, does anybody have any tips or tricks for me?

Answers

Answer:

I would personally think that what you did before (like pre-studying) should count the most. Right now, just don't stress. Stress and anxiety affect memory because they make it harder for you to concentrate and lock new information and skills into memory. You may end up forgetting something simply because you were not really paying attention or had too much on your mind.

If you are allowed to use a calculator (which you probably should be able too), just make sure you know how to use it properly and all it's functions.

The best thing to do though, is too just flip through your previous notes or what I do is try and keep something that I'm not to good at or forget easily (related to the test) and just keep it in my mind. And then I would just get my test paper or working out page and write it down there. Although the best thing you could probably do is just revise formulas and sneak in maybe one or two practise questions if you can. That's pretty much the best thing for dealing with mathematics.

In excel this formula is incorrect =if(A1=TRUE,"pass,"fail")?

Answers

Answer:

Nope :(

Explanation:

Hello,

=if(A1=TRUE,"pass,"fail")

do you mean

=if(A1=TRUE,"pass","fail") ?

You need to put " at the end of pass world before the coma.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

don't comment any link or don't answer if you don't know the answer plsss help me

don't comment any link or don't answer if you don't know the answer plsss help me

Answers

Answer:

CBDBAAABB

I'm not sure if this is all perfect but I researched and did my best

On January 2, 20X1, St. Paul Vision Center purchased equipment at a cost of $63,000. Before placing the equipment in service, St. Paul spent $2,200 for special chips, $800 for a platform, and $4,000 to customize the equipment. St. Paul management estimates that the equipment will remain in service for 6 years and have a residual value of $16,000. The equipment can be expected to process 18,000 examinations in each of the first 4 years and 14,000 tests in each of the next 2 years. In trying to decide which depreciation method to use, Lana Rich, the general manager, requests a depreciation schedule for each method (straight-line, units-of- production, and double declining balance). _ Required A. Prepare a depreciation schedule for each of the depreciation methods, showing asset cost, depreciation expense, accumulated depreciation, and asset book value. B. St.Paulreportstocreditorsinthefinancialstatementsusingthedepreciationmethodthat maximizes reported income in the early years of asset use. For income tax purposes, however, the company uses the depreciation method that minimizes income-tax payments in those early years. Consider the first year that St. Paul uses the equipment. Identify the depreciation methods that meet the general manager’s objectives, assuming the income tax authorities would permit the use of any of the methods.

Answers

A. The Depreciation Expense is $7,833.33. B. Depreciation per Unit is $0.022 per examination/test. C. The double declining balance method for income tax purposes in the first year of using the equipment.

Depreciation Schedule:

A. Straight-line Method:

The straight-line method allocates the cost of an asset evenly over its useful life. In this case, the asset cost is $63,000, and the useful life is 6 years with a residual value of $16,000.

The annual depreciation expense can be calculated as follows:

Depreciation Expense = (Cost - Residual Value) / Useful Life

                 = ($63,000 - $16,000) / 6

                 = $7,833.33

The depreciation schedule for the straight-line method is as follows:

| Year | Asset Cost | Depreciation Expense | Accumulated Depreciation | Asset Book Value |

|------|------------|---------------------|--------------------------|------------------|

| 1    | $63,000    | $7,833.33           | $7,833.33                | $55,166.67      |

| 2    | -          | $7,833.33           | $15,666.67               | $47,333.33      |

| 3    | -          | $7,833.33           | $23,500.00               | $39,500.00      |

| 4    | -          | $7,833.33           | $31,333.33               | $31,666.67      |

| 5    | -          | $7,833.33           | $39,166.67               | $23,833.33      |

| 6    | -          | $7,833.33           | $47,000.00               | $16,000.00      |

B. Units-of-Production Method:

The units-of-production method allocates the cost of an asset based on its usage. In this case, the asset is expected to process 18,000 examinations in each of the first 4 years and 14,000 tests in each of the next 2 years. The depreciation per unit can be calculated as follows:

Depreciation per Unit = (Cost - Residual Value) / Total Expected Units

                   = ($63,000 - $16,000) / (4 * 18,000 + 2 * 14,000)

                   = $0.022 per examination/test

The depreciation schedule for the units-of-production method is as follows:

| Year | Asset Cost | Depreciation Expense | Accumulated Depreciation | Asset Book Value |

|------|------------|---------------------|--------------------------|------------------|

| 1    | $63,000    | $3,960.00           | $3,960.00                | $59,040.00      |

| 2    | -          | $3,960.00           | $7,920.00                | $55,080.00      |

| 3    | -          | $3,960.00           | $11,880.00               | $51,120.00      |

| 4    | -          | $3,960.00           | $15,840.00               | $47,160.00      |

| 5    | -          | $3,080.00           | $18,920.00               | $44,080.00      |

| 6    | -          | $3,080.00           | $22,000.00               | $41,000.00      |

C. Double Declining Balance Method:

The double declining balance method depreciates an asset at an accelerated rate. The annual depreciation expense is calculated by doubling the straight-line rate and applying it to the net book value

(cost - accumulated depreciation). The depreciation schedule for the double declining balance method is as follows:

| Year | Asset Cost | Depreciation Expense | Accumulated Depreciation | Asset Book Value |

|------|------------|---------------------|--------------------------|------------------|

| 1    | $63,000    | $15,666.67          | $15,666.67               | $47,333.33      |

| 2    | -          | $15,666.67          | $31,333.33               | $31,666.67      |

| 3    | -          | $9,400.00           | $40,733.33               | $22,933.33      |

| 4    | -          | $5,640.00           | $46,373.33               | $17,293.33      |

| 5    | -          | $3,384.00           | $49,757.33               | $13,909.33      |

| 6    | -          | $3,384.00           | $53,141.33               | $10,525.33      |

Objective Analysis:

The depreciation methods that meet the general manager's objectives depend on the reporting to creditors and income tax purposes.

For reporting to creditors, the method that maximizes reported income in the early years is the straight-line method. This method evenly spreads the depreciation expense over the useful life, resulting in higher reported income in the early years.

For income tax purposes, the method that minimizes income tax payments in the early years is the double declining balance method. This method accelerates the depreciation expense, resulting in higher deductions in the early years, reducing taxable income and income tax payments.

Therefore, to meet the general manager's objectives, St. Paul Vision Center should use the straight-line method for reporting to creditors and the double declining balance method for income tax purposes in the first year of using the equipment.

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tả con trâu đang gặm cỏ​

Answers

Answer:

While the African buffalo is sometimes considered a bulk grazer, other studies indicate that they can be selective and show seasonal variations in their home ranges. Buffalo formed home ranges non-randomly within the study area, choosing vegetation of higher quality and quantity.

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What are the benefits of stretching? ( List 4 Benefits)
What are the six skills of skill related fitness?
What are the benefits of an active lifestyle? ( List 4 )
What are the drawbacks of a sedentary lifestyle? ( list 4)
What is bandwagon? Give me an example :)

Please help me.. Im stupid and i dont know how i managed to make an advanced summer class. :) If you could help me that would be awesome!! :) Ill give you brainliest and extra points :)

Answers

Answer:

stretching helps in maintain body shape

Answer:

Explanation:

1) The benefits of stretching make you more relaxed, make muscles stronger and make your more flexible. They can help you reach higher happiness. You should do them in the morning.

2) The benefits include a higher life span, being more fit, the reduction of a heart attack and better immune system.

3) The drawbacks are higher risk of obesity, high blood pressure and cholesterol, higher risk of stroke and higher chance of receiving certain cancers.  

4) The band wagon is something that is trending and everyone wants to be a part of. E.g. Trending clothes, pokemon, social media trends or fidget spinners

Which of the following companies is NOT a member of the Global Harvest Initiative?
John Deere
DuPont
O IBM
© Case

Answers

Answer:

© Case

Explanation:

The Global Harvest Initiative (GHI) was founded in 2009 and it is privately owned and functions as an agent of performance increase which is aimed at improving the agricultural chain value to be able to feed an ever expanding world. It aims at increasing agricultural output while at the same time, not overusing nature.

Its member companies are DuPont, Elanco, John Deere, Mosanto, etc.

The correct answer to the question is © Case because it is not part of its member companies.

what does a review of relevant literature do

Answers

A review of relevant literature will give a critical assessment of the sources.

What is a literature review?

A literature review is a piece of academic writing that contextualizes and demonstrates knowledge of the academic literature on a given subject.

A review of relevant literature is a crucial component of research that entails assessing the literature and research studies that have already been conducted on a particular research question or issue.

It seeks to pinpoint the gaps in current knowledge, highlight important discoveries and trends, and decide on the most efficient research procedures and techniques.

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Spare parts by Joshua Davis list the main characters

Answers

"Spare Parts" by Joshua Davis tells the true story of four undocumented Mexican teenagers who form a robotics club at their Arizona high school and compete against well-funded teams to win the national robotics championship. The main characters of the book are:

1. Lorenzo Santillan - a talented and charismatic high school student who becomes the leader of the robotics team.
2. Cristian Arcega - a very intelligent student who is skilled at programming and robotics.
3. Oscar Vazquez - a gifted mechanic who is passionate about robotics and dreams of becoming an engineer.
4. Luis Aranda - a hard-working student who contributes his skills in welding and electronics to the robotics team.

The book also features several other important characters, including the boys' supportive teacher, Fredi Lajvardi, and various mentors and supporters who help the team along the way.

Cristian Arcega, Lorenzo Santillan, Oscar Vazquez, Luis Aranda, and Fredi Lajvardi

Happy to help, have a great day! :)

Which of the following BEST captures the message George W. Bush directed at the terrorists in his speech?

A.
Fight fairly, or we will assemble a global alliance.

B.
Don’t expect conventional tactics.

C.
We already know how to beat you.

D.
We will defeat you with words, not weapons.

Answers

Answer:

The following option BEST captures the message George W. Bush directed at the terrorists in his speech:

B. Don’t expect conventional tactics.

Explanation:

Technician A says that one function of a damage report is to help prevent misunderstandings between the repairer and customer.

Technician B says that one function of a damage report is to document authorization to repair the vehicle.
Who is right?

Answers

Answer: both a and b

Explanation:

Other Questions
trip advisor has roughly 661 million evaluations that cover about 7.7 million accommodations, airlines, experiences, and restaurants, tripadvisor doesn't require a booking in order to write a critique. tripadvisor is an example of a . Lichens, like the one shown in the picture below, are usually combinations of algae and fungi that have a beneficial mutualistic relationship know as _____?saprophyticparasiticsymbioticautotrophic Select two examples of how Naomi Shihab Nye uses metaphors in the poem, "Making a Fist." (Check all that apply) What questions about the possible audience should the author of "How to Draw a Kangaroo..." consider to improve the tutorial? Agnes, who suffers from anorexia, is dangerously thin but has been steadfastly refusing to eat enough to gain weight. If Agnes could honestly explain to you why she doesn't eat, what would she probably say What accomplishment is the ruler Nebuchadnezzar Il associated with?A. Developing an alphabetB. Allowing the Jews in Babylon to return to IsraelC. Establishing the New Babylonian EmpireD. The Royal Road what language is this? Joel has 48 oranges he puts 7 in a bag. How many bags can he fill? Which word does the bolded adjective describe?The sky is a brilliant blue today.brillianttodaysky Imagine that your city decides to enact a rent-control law that limits the price of a one-bedroom apartment to $ 600 per month. Using the table below, answer the following questions.Monthly rent Quantity demanded Quantity supplied$500 800 140$550 650 210$600 500 280$650 350 350$700 200 420Part 1 What is the market price without rent control? $ Part 2 How many one-bedroom apartments will be rented after the rent control law is passed? there are 7 children in a family. the number of children defines a population. the number of simple random samples of size 5 (without replacement) that are possible equals . a. 6 b. 21 c. 35 d. 32 A researcher would like to estimate the mean amount of money the typical American spends on lottery tickets in a month.a.)The researcher would like to estimate the mean with 99% confidence. Which of the following sample size options would yield the smallest margin of error?6112539 b)Suppose the researcher wants to estimate the mean with a margin of error of no more than $20 with 99% confidence. This could be challenging, though, because the typical American tends to spend anywhere from $0 to $316. What is the minimum number of people he should survey?n = If line segment AB,A(9,3) and B(-6,-9), what scale factor was used to dilate if new line is at A'(3,1) and B'(-2,-3)? Solve the simultaneous equations2x+3y=20X+5y=31 : A CSI team arrives at a murder scene and immediately measures the temperature of the body and the temperature of the room. The body temperature is 25 C and the room temperature is 21 C. Ten minutes later, the temperature of the body has fallen to 23 C. Assuming the temperature of the body was 37 C at the time of the murder, how many minutes before the CSI team's arrival did the murder occur? Round your answer to the nearest whole minute. In 1750 who claimed the state of Florida Ford was recently able to endure challenging times that required massive recalls affecting several million of its vehicles. Ford has relied on its ___ to survive and continue to prosper. Recent studies show that the number of three-legged frogs in a particular area is increasing due to exposure to chemical pollutants. The first set of data reported in 2000 estimates a population of 5000 three-legged frogs. Statistics show an annual increase of 15%. Let denote the number of three-legged frogs projected to inhabit this area in the year 2000N. How many three-legged frogs are projected to inhabit this area by 2009? Round to the nearest whole number Explain how water would influence distillation if not enoughmagnesium sulfate was added during the organic layer drying processafter test tube separatory extraction. This is related to thegrignard 49:37does the juxtaposition of Leah and Jane reveal?ane wants to soothe Mrs. Fairfax even though Janeears her.ane is not confident that other people will like her.ane likes to spend time with others who may feelad.ane is both well suited and pleased to be Mrs.airfax's companion.