Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible. (enter the dimensions as a comma-separated list.)

Answers

Answer 1

The dmension of the rectangle with perimeter of 68 m has the largest possible area as 17m by 17m.

Perimeter of a rectangle

perimeter of rectangle = 2(l + w)

where

l = lengthw = width

Therefore,

perimeter = 68 m

68 = 2l + 2w

l + w = 34

l = 34 - w

Hence, the largest possible area is at the amximum.

area = lw

area = w(34 - w)

area = 34w - w²

The maximum is at dA / dw = 0

Therefore,

34 - 2w  = 0

2w = 34

w = 34 / 2

w = 17

l + w = 34

l + 17 = 34

l = 34 - 17

l = 17

area = 17² = 289 m²

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Related Questions

HELP
20 POINTSSSS
Which career professionals are not required to have post-secondary education and instead typically learn through on-the-job training?

Animal Caretakers and Foresters
Sorters and Farmworkers
Soil Scientists and Conservationists
Agricultural Inspectors and Food Technologists

Answers

Answer:

B

Explanation:

Sorters and farmworkers

the motion of a body in a bending road is curve linear motion​

Answers

The motion of an object moving in a curved path is called curvilinear motion. Curvilinear motion is defined as motion that occurs when a particle travels along a curved path. The curved path can be in two dimensions

Curve linear motion refers to the motion of a body along a curved path in a smooth and continuous manner. In the context of a bending road, the motion of a vehicle or object follows the curvature of the road, resulting in curve linear motion.

Unlike straight-line motion, where the path is a straight line, curve linear motion involves continuous changes in direction as the body navigates through the bends and turns of the road.

This type of motion is common in various real-world scenarios, such as vehicles traveling along winding roads or objects moving in circular paths, where the trajectory is not straight but follows a curved route.

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Your question is incomplete, but most probably your full question was,

The motion of a body in a bending road in curvilinear motion why?

What is the average speed at 20 seconds

Answers

A speed of what? (I.e. A Cheetah, Human, Bird)

18.1 multiplying polynomial expressions by monomials

Answers

The  act of Multiplying a polynomial by a monomial is an easy one. An example of this is given as Multiply x – y – z by -8x².

What are Polynomial Expressions?

Polynomials are regarded as the sums of specific terms of a given form k⋅xⁿ. Here, the k stand for any number and n stand for a positive integer.

To Multiply x – y – z by -8x².

One has to first Multiply each term of the polynomial x – y – z by making use of the monomial -8x².

⟹ -8x² * (x – y – z)

= (-8x² * x) – (-8x² * y) – (-8x² *  z)

Note that the * sign connote multiplication.

The next step is to add the like terms together;

The answer therefore is = -8x³ + 8x²y + 8x²z

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What is a goal of the mission of the James Webb Space Telescope?

to find evidence of life on Mars

to study how solar flares of our sun affect Earth

to find evidence of events in the history of the universe

to study how Venus and Earth diverged as planets

(33 points)

Answers

Answer:

to find evidence of events in the history of the universe

Explanation:

A goal of the mission of the James Webb Space Telescope is to find evidence of events in the history of the universe.

The correct answer to the given question is option C.

The James Webb Space Telescope has several objectives and goals, with the primary aim of its mission being to identify the events that led to the formation of the universe.

In addition, it aims to collect data on various galaxies, stars, and planets that will help scientists determine the evolution of these entities.The primary objective of the James Webb Space Telescope is to identify the early universe's formation by collecting data on the stars, galaxies, and planets.

It is also aimed at gathering data on various celestial objects such as exoplanets and black holes.The James Webb Space Telescope aims to collect data that will allow astronomers to determine the events that led to the formation of the universe.

It will collect data on distant galaxies, stars, and planets to provide insights into the evolution of these entities. The telescope will have advanced capabilities such as infrared vision that will allow it to collect data on some of the universe's earliest structures.

Additionally, the James Webb Space Telescope aims to collect data on exoplanets, which could provide insights into how life in the universe developed. The telescope's ability to identify the atmospheric composition of exoplanets will be crucial in determining their habitability.

Ultimately, the telescope's primary goal is to contribute to the advancement of our understanding of the universe.

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I just hit switch..... punch punch - Sicko Mode

Answers

WIAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

Oya..oya oya....oya oya oya

50 words or less, summarize the different types of financial aid that are available, and those that you may be interested in applying for.

Answers

U can shorten this but
Financial aid for education includes grants, scholarships, loans, and work-study programs. Grants and scholarships do not have to be repaid, while loans must be repaid with interest. Work-study programs provide students with part-time employment to help pay for their education. Some financial aid is need-based, while other aid is merit-based. It is important to research the different types of financial aid that are available and to determine which ones you may be eligible to apply for.

Please answer this question how did you get 5h+9f=72. The question is The total cost of the frisbees and hats is $72, and the cost of two hats and frisbee is $14.50.what is the cost of frisbee?

Answers

Answer:Hi There!

9f+5=77

Make sure all numbers are on the right side of the equation.

9f=77-5

9f=72

Now divide both sides by 9 to isolate f:

f=8

Hope this helps!

Explanation:

Answer:

The cost of a frisbee is 11 dollars.

what yall doin? im doing school.

what yall doin? im doing school.

Answers

Answer:

I'm doing schoolwork! <3

Explanation:

Which statement best describes the relationship between an allele and a gene?.

Answers

Answer:

Which statement best describes the relationship between an allele and a gene? An allele is a variation of a gene that can be expressed as a phenotype. New technologies enable oils to be extracted from plants to make renewable biodiesel fuel.

Explanation:

Answer:

An allele is a variation of a gene that can be expressed as a phenotype.

Explanation:

I took the quiz and got it correct.

What is the missing line of code?

>>> books = {294: 'War and Peace', 931:'Heidi', 731:'Flicka'}
>>> _____
dict_keys([294, 931, 731])

Answers

The code that a programmer uses to write instructions for a program. The “source code” of a program is composed of lines of code, and, depending on the programming language.

What is the role of missing line of code?

Regardless of the amount of statements or fragments of statements on a line, a line of code (LOC) is any text line in a piece of code that is not a comment or blank line, as well as header lines.

LOC unambiguously comprises any lines that contain a variable declaration, as well as executable and non-executable statements.

Therefore, a line may produce one or more machine instructions. In assembly language, one machine instruction is typically created from one line of code.

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Which of the following describes the primary differences between Ellis' point of view and
the reader's point of view

Answers

hi, i would love to help! ❤️ ...do you have a story i can see? i don’t know who “Ellis” is... sorry.

Both structures were carved in Egypt from the same type of rock more 1,000 years ago. However, the obelisk in New York, which was transported there from Egypt in 1881, has since experienced a much higher rate of weathering. What factors likely sped up the weathering process for the structure that was moved to New York?

Answers

The factors likely sped up the weathering process for the structure that was moved to New York will be:

a) One factor that likely sped up the weathering process for the obelisk in New York is that the structure was carved from a different type of rock than the one in Egypt. The obelisk in New York is made of granite, while the one in Egypt is made of limestone. Granite is a much harder rock that is less susceptible to weathering.

b) Another factor that may have contributed to the faster weathering of the New York obelisk is the fact that it was moved from its original location. This meant that the structure was exposed to different climatic conditions, which can accelerate the weathering process.

Weathering:

Weathering is the degradation of rocks, soils, and minerals, as well as wood and man-made materials, caused by interaction with water, atmospheric gases, and biological organisms. Weathering takes place in situ, as opposed to erosion, that involves the transport of minerals and rocks by forces such as water, ice, snow, wind, waves, and gravity.

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why is Pluto called a ,"dwarf planet" ?​

Answers

Answer:

Pluto is called a dwarf planet because it does not meet the three criteria set forth by the International Astronomical Union (IAU) for a full-sized planet.

These criteria are:

It must be in orbit around the Sun.It must be massive enough for its self-gravity to overcome rigid body forces so that it assumes a hydro-static equilibrium (nearly round) shape.It has cleared the neighborhood around its orbit.

Pluto meets the first two criteria, but it does not meet the third. The Kuiper Belt is home to many other objects that are similar in size to Pluto, and these objects share Pluto's orbit. This means that Pluto has not cleared its neighborhood of other objects, as a planet is supposed to do.

As a result of this, Pluto was reclassified as a dwarf planet in 2006. There are now five dwarf planets in our solar system: Pluto, Ceres, Eris, Makemake, and Haumea.

Answer and Explanation:

Pluto is called a "dwarf planet" because it does not meet the criteria to be classified as a full-fledged planet. In 2006, the International Astronomical Union (IAU) redefined the definition of a planet, which led to Pluto being reclassified as a dwarf planet. Here are the main reasons why:

1. Size: While Pluto is larger than some moons in our solar system, it is much smaller than the eight traditional planets like Earth, Jupiter, and Saturn. Its size is comparable to other objects in the Kuiper Belt, a region beyond Neptune where many icy bodies reside.

2. Orbit: Unlike the eight planets that have relatively clear paths around the Sun, Pluto has a more elongated and inclined orbit. This means it has a more irregular path and crosses the orbit of Neptune at certain points. This is different from the regular, more circular orbits of the traditional planets.

3. Neighborhood: Pluto is part of a region called the Kuiper Belt, which consists of numerous icy bodies and small objects. This region is distinct from the inner solar system where the eight traditional planets reside. The presence of many similar-sized objects in its vicinity further influenced the decision to reclassify Pluto.

By considering these factors, the IAU determined that Pluto did not meet the criteria to be classified as a planet. Instead, it was designated as a dwarf planet, a new category that acknowledges its unique characteristics and its place in the Kuiper Belt.

It's important to note that this reclassification sparked some debate and controversy among astronomers and the public. However, the IAU's decision to classify Pluto as a dwarf planet is the current scientific consensus.

HURRY I'M ON MY LAST QUESTION FOR THE UNIT TEST PLEASE I NEED YOUR HELP PLEASE ANSWER IT WITH THE CORRECT ANSWER AND BE HONEST AND DON'T ANSWER THE ANSWER THE QUESTION LIKE THIS I DON'T KNOW THE QUESTION THAT'S JUST ANNOYING PLEASE PUT THE CORRECT ANSWER

The state has declared that a former factory site is contaminated, although it doesn’t know if the property poses a danger to the public. Which expert should the state hire to learn about the risk, and what tasks should that person be able to complete? an Environmental Scientist, who can identify, prevent, and reduce pollution and hazards in and around the site an Environmental Restoration Planner, who can devise a plan to protect the environment surrounding the site an Hydrologist, who can study the water located underground and in the atmosphere surrounding the site a Conservation Scientist, who can study and manage natural resources to protect the animals living near the site

Answers

Answer:

an Environmental Scientist, who can identify, prevent, and reduce pollution and hazards in and around the site

Answer: *A*

Explanation:

an Environmental Scientist, who can identify, prevent, and reduce pollution and hazards in and around the site. just did it on enj

What happens if a student with straight A's does not meet the requirements for the Idaho Standards Achievement Test math portion, but exceeds the english requirement?

Answers

Answer: If a student with straight A's does not meet the requirements for the Idaho Standards Achievement Test math portion but exceeds the English requirement, it will depend on the policies of the school or district. In some cases, the student may be required to retake the math portion of the test or complete additional coursework in math to demonstrate proficiency. In other cases, the student may be allowed to graduate or move on to the next grade level based on their overall academic performance, despite not meeting the requirements for the math portion of the test. Ultimately, the decision will depend on the specific policies of the school or district and the individual circumstances of the studen

Explanation:

An adolecent female arrive in the emergency department after a phyical aault. The upected attacker wa alo brought to the hopital for treatment of injurie. A male health care provider i aigned to examine the client. Which action would bet protect the client' right during the phyical examination?

Answers

Answer:

An adolescent female arrives in the emergency department after a physical assault. How could the male nurse best protect the client's rights during the physical examination?

Definition

1 / 158

Have a female health care worker present.

A female health care provider should be present to observe an examination performed by a male health care provider. Leaving the door open and informing the client's friends about her condition violates her right to privacy and confidentiality. Although the suspected attacker should be kept away from the examination room, having a female health care worker present during the examination best protects the girl's rights.

Explanation:

How would I solve this?

How would I solve this?

Answers

Based on the incomplete table given, the extra production cost that was used in producing a car in the United States when compared to Japan to the nearest dollar is: $1,380

Calculations and Parameters

The production costs are given below:

Japan: $2,575

United States: $1,200

Therefore, the extra cost of production in producing it in the United States would be: 2,575-1,200=

$1,375

To the nearest dollar, it would be:

$1,380

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Explain key aims of education and training in own specialist area

Answers

Answer:

Training and education in specialist area are used to improve the practices that are used in the educational organization to offer better opportunities to the students in the learning program.

If the company does not bring up the topic of money, it is best to wait and ask about pay when you are offered the position.
A.
True
B.
False

Answers

Answer:

B. False, everyone should know their salary before the get the job

Answer:

false

Explanation:

you would want to know how much you would get paid before you get a job and its not what you expected

Which of the following qualities made him loved by children?

Answers

Answer:

No specific features were provided in the question. Therefore, I cannot answer for sure which of them made him dear to the children. Please provide more context for an accurate answer.

What is the greatest common factor of 8x3y4z6, 12x5y3z7, and 24x4yz5 ?

Answers

The greatest common factor of 8x3y4z6, 12x5y3z7, and 24x4yz5 is 4x3y3z5.

What is factor?

A factor is a number which is multiplied with another number to produce a product. Factors can be used to solve equations, calculate the greatest common factor, and determine the least common multiple of two or more numbers. Factors are also used in statistics, finance, and other mathematical disciplines.

This can be found by listing the prime factors of each of the numbers:
8x3y4z6 = 2²x3²x5x7
12x5y3z7 = 2²x3x5²x7
24x4yz5 = 2⁴x3x5x7
The highest power of each factor in the prime factorization is the highest power of that factor in the greatest common factor. Therefore, the greatest common factor is 4x3y3z5.

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To find the greatest common factor (GCF) of three or more numbers or expressions, we can use the prime factorization method. This involves breaking down each number or expression into its prime factors, and then looking for the factors that are common to all of them. The GCF is the product of these common factors.

First, we will break down 8x3y4z6, 12x5y3z7, and 24x4yz5 into their prime factors:

8x3y4z6 = 2^3 * x^3 * y^4 * z^6

12x5y3z7 = 2^2 * 3 * x^5 * y^3 * z^7

24x4yz5 = 2^3 * 3 * x^4 * y * z^5

The GCF is the product of the smallest power of the prime factors that are common to all of the given expressions.

In this case, the greatest common factor is (2^2x^3y^3*z^5)

So, the GCF of 8x3y4z6, 12x5y3z7, and 24x4yz5 is 2^2x^3y^3*z^5

Walking logs can help you see where you have been and where you are going. A. True B. False

Answers

True, walking logs can help you see where you have been, and where you are going.

which of the 3 states of matter dose not have a fixed volume ​

Answers

i think the answer is gas

what's your biggest flex?​

Answers

Answer:

my family

Explanation:

kamusta na kayo

Answer:

my bf and parent thank you


How does the conflict "character versus nature" tie into the theme of the story? The Grasshopper and The Ant

Answers

The conflict of character versus nature is an external conflict in literature. It is frequently represented as a person battling the environment, including natural disasters, wild animals, or the natural world's destructive side.

In The Grasshopper and The Ant, this conflict ties into the story's theme in a variety of ways.

To begin with, the narrative depicts how nature, in this case, the environment, can have an impact on our lives. Throughout the story, the grasshopper avoids the ant's attempts to prepare for the winter, preferring to sing and dance.

When the winter arrives, the grasshopper is caught unprepared and ends up hungry and freezing. The story's moral teaches readers that being ill-prepared can be disastrous, especially when it comes to nature. It also highlights the importance of being proactive in preparing for the worst.

Another way the character versus nature conflict ties into the story's theme is by highlighting the ant's perseverance and hard work. Despite the harsh circumstances, the ant remains determined and dedicated to his goal of preparing for the winter. This serves as an inspiration to readers to persevere even in the most challenging situations.

Furthermore, the story shows how nature can be both harsh and benevolent. The grasshopper suffers due to the harsh winter, but the ant's hard work also pays off in the end when he can enjoy the fruits of his labor. This teaches readers that nature can both give and take away.

Finally, the conflict of character versus nature in The Grasshopper and The Ant serves to teach readers about the importance of balance. The ant's hard work and preparation are admirable, but the grasshopper's love of life and music is also crucial. This emphasizes that while it's essential to be prepared, it's also necessary to enjoy life and not take it for granted.

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After a brief and violent ______ that ousted the president, GeneralMonsanto declared himself the dictator of the country.
a. upbraiding
b. nuance
c. solicitation
d. coup​

Answers

After a brief and violent d. coup​ that ousted the president, GeneralMonsanto declared himself the dictator of the country.

What is coup?

A coup d'état, commonly known as a coup, is an illegal and open attempt to remove the current leader by members of the military or other government elites.

A self-coup occurs when a leader attempts to use illegal tactics to maintain control after gaining it legitimately. The unexpected, violent takeover of an established government by a small group is known as a coup d'état, sometimes known as a coup. Control of all or a portion of the armed forces, police, and other military components is the main requirement for a coup.

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Smaller particles moved by the wind occurs through deflation.

Answers

Answer:

The answer would be true!

Explanation:

As smaller particles moved by the wind occurs through deflation.

hope it helps!

An American Express retail survey found that 16% of U. S. Consumers used the internet to buy gifts during the holiday season. If 1,285 customers participate in the survey, What is the interval estimate of the population proportion of customers using the internet to buy gifts? Use 95% confidence

Answers

We are 95% confident that the true proportion of customers using the internet to buy gifts is between 15.84% and 16.16%.

How to explain the confidence interval

Number of customers who used the internet to buy gifts n = 1285

Proportion of customers who used the internet to buy gifts p = 0.16

Confidence level = 0.05

Margin of error z = 1.96 (z-score for 95% confidence interval)

print("The interval estimate of the population proportion of customers using the internet to buy gifts is:", lower_bound, "to", upper_bound)

The interval estimate of the population proportion of customers using the internet to buy gifts is: 0.1584 to 0.1616

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kate gathered three boxes of the same size made of different materials: glass, clear plastic, and aluminum painted black. she placed them on a window sill in the sun for an hour and then measured the warmth of the air in each box. in this experiment, what is the time of an hour?

Answers

Answer: 60 minutes. 3600 seconds. That is the time of 1 hour in this experimen.

Explanation: Have a wonderful day Sir/ma’am!

~Zeoathiras~

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