A rectangular tank that is with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.

Answers

Answer 1

The dimensions of the tank with minimum weight are; 26 ft by 26 ft by 13 ft.

How to minimize functions?

For minimum weight, it means that the surface area must be minimum.

Let the height be h and the lengths be x

Thus, the volume is;

x²h = 8788

Thus;

h = 8788/x²

Surface Area is;

A = x² + 4xh

A = x² + 35142/x

dA/dx = 2x - 35152/x²

When dA/dx = 0, we have;

2x - 35152/x² = 0

2x  =35152/x²

Thus;

2x³ = 35152

x³ = 17576

x = 26 ft

Thus;

h = 8788/x²

h = 8788/26²

h = 13 ft

Thus, the dimensions are 26 ft by 26 ft by 13 ft.

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Related Questions

Which best explains the philosophical concept reflected in the excerpt?this excerpt reflects collectivism, because it reveals the narrator’s deep love for other individuals.this excerpt reflects collectivism, because it reinforces the need for acceptance and brotherhood.this excerpt reflects capitalism, because it suggests that love of others is unnecessary and unimportant.this excerpt reflects capitalism, because it emphasizes an exchange based on free will.

Answers

According to the theme of the fragment, it can be inferred that the author's main purpose was to refer to the capitalist model by referring to free will exchange (option D).

What is capitalism?

Capitalism is a term that refers to a social and economic system that focuses on private property and capital as tools of production.

Additionally, capitalism states that individuals have the right to freely produce and exchange their products to obtain a profit, according to their will and benefit.

According to the above, it can be inferred that the correct answer is option D because it refers to one of the principles of capitalism according to the fragment.

Note: This question is incomplete because the excerpt is missing. Here is the exception:

Read the excerpt from Anthem.

I am neither foe nor friend to my brothers, but such as each of them shall deserve of me. And to earn my love, my brothers must do more than to have been born. I do not grant my love without reason, nor to any chance passer-by who may wish to claim it. I honor men with my love. But honor is a thing to be earned.

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Answer:

D

Explanation:

This excerpt reflects capitalism, because it emphasizes an exchange based on free will.

$1800 at 6.5 for 30 months find the interest earned

Answers

Answer:

$8,307.69

Explanation:

You divide 1800 and 6.5 then times 30.

Hope this helps <3

Which question best represents the main idea in woolf analyzes in a room of one's own?

Answers

The question which best represents the main idea in Woolf's analysis is: why are women portrayed powerfully in literature but ignored in history?

What is a main point?

A main point is also referred to as central idea and it can be defined as the most important part or theme of a literary work, which is used by a writer to tie all of the other elements of fiction together when writing a true story.

Based on the excerpt from "In a room of one's own" by Woolf, we can deduce that the question which best represents the main idea in Woolf's analysis is asking, why women are portrayed powerfully in literature but ignored in history?

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Answer:

Why are women important characters in literature but unimportant in history?

Difference between random assignment and random sampling

Answers

So, to summarize, random sampling refers to how you select individuals from the population to participate in your study. Random assignment refers to how you place those participants into groups (such as experimental vs. control)

If the pattern continues, what will ms. franklin’s salary be in year 10?

Answers

Answer:

35,200

Explanation:

EDGE 2020

When 14.0 g of zinc metal reacts with excess hcl, how many litres of h2 gas are produced at stp? zn(s) + 2hcl(aq) → zncl2(aq) + h2(g)

Answers

Convert the given mass of Zn to moles:

(14.0 g) (1/65.32 mol/g) ≈ 0.214 mol Zn

According to the balanced reaction, 1 mol H₂ gas is produced for every 1 mol Zn consumed in the reaction, so get the same number of moles of H₂.

Convert this amount of H₂ to a volume at STP:

(0.214 mol H₂) (22.4 L/mol) ≈ 4.80 L H₂

A certain drug reduces the activity of the central

Answers

Answer:

A certain drug reduces the activity of the central nervous system, including the hippocampus and cerebellum.

Explanation:

All of the following are functions of packaging except

Answers

Entertainment is the option which isn't a function of packaging in this special scenario.

What is Packaging?

This is the science and technology of enclosing a substance for distribution and use by others.

Packaging helps to protect and to promote the brand through the labels and containers used but doesn't offer any form of entertainment which makes it the most appropriate choice.

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Although the overall divorce rate has declined in the past two decades, divorce among __________ couples is rising.

Answers

Although the overall divorce rate has declined in the past two decades, divorce among middle-aged couples is rising.

What are socio-cultural trends?

The term sociocultural trends make reference to cultural tendencies and/or directions in contemporany society according to different periods.

These different trends (socio-cultural trends) can be able to mark a before and an after in society.

In conclusion, although the overall divorce rate has declined in the past two decades, divorce among middle-aged couples is rising.

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What does gigante blanco mean? the giant white-out the giant bear the giant cross the giant hill

Answers

Answer:

The answer is A, the giant white-out.

Explanation:

Gigante blanco mean B. the giant bear

Where is the giant bear?

The Giant Bear is the Epic Boss of the Winter Forest map. It can be found in the far west of the map, in a clearing surrounded by trees.

What is the biggest stuffed animal in the world 2021?

Residents of the Mexican town of Xonacatlán have entered the Guinness Book of World Records with a massive teddy bear. The gigantic stuffed toy is said to be the biggest of its kind. The giant was stitched together over three months as part of a publicity drive to attract more tourists to the town.

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Liberalism could best be described as a political ideology that assumes government exists in order to improve society. is the extreme right wing. prefers to limit government. values individual freedom over government involvement.

Answers

Liberalism could best be described as a political ideology that prefers to limit government. Check more about Liberalism below.

What is liberalism in political ideology?

Liberalism is known to be a type of political and moral philosophy that is said to be  centered on the human rights, liberty, etc.,

Note that Liberalism could best be described as a political ideology that prefers to lower the power of the government and give people more rights.

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Answer:

A

Explanation:

Edge 2023

An ellipse is represented by the equation . each directrix of this ellipse is a ________________________ from the center on the major axis.

Answers

The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.

How to determine the distance of the directrix?

The equation of the ellipse is given as:

[tex]\frac{(x - 5)^2}{625} -\frac{(y - 4)^2}{225} =1[/tex]

The above means that:

a^2 = 625

a = 25

b^2 = 225

b = 15

Calculate c using:

c^2 = a^2 - b^2

This gives

c^2 = 625 - 225

Evaluate the difference

c^2 = 400

Evaluate the square root

c = 20

The equation of the directrix is

x - x₀ = ± a²/c

So, we have:

x - x₀ = ± 625/20

Evaluate the quotient

x - x₀ = ± 31.25

This means that, each directrix is 31.25 units from the center on the major axis.

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In 2015 attackers targeted six locations throughout paris

Answers

These attackers sought to create political pressure within France to suspend airstrikes against ISIS targets within Syria.

What is terrorism?

Terrorism can be defined as an unlawful use of both force and violence against the people living in a geographical location, so as to intimidate or coerce them and their government in furtherance of political, cultural or social objectives and interests.

In 2015, ISIS attackers targeted six (6) different locations throughout Paris, so as to create political pressure within France for the suspension of airstrikes against Islamic State of Iraq (ISIS) targets within Syria.

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Why did the cia support covert activity to restore the shah to power in iran?

Answers

✏Answer ✏

To protect oil interests and prevent the spread of communism to fulfill obligations to the United Nations and support the spread of democracy to encourage democracy and support freedom to prevent the spread of biological weapons.

Explanation:

# Brainliest Bunch

What operation will transform the following matrix to row echelon form?

Answers

Answer:

A edge 2022

R2+R3->R3

Explanation:

How do american and sudanese teachers differ from one another?

Answers

The teachers of American differs from Sudanese teachers by:

Their teaching pattern.Teaching tools available to them.Teaching environment.

What is the role of Teachers’ performance?

The role of Teachers’ performance is one that has a lot of effect on their student. Note that  educational institutions can be influenced by different issues that may arise from Teachers’ performance.

Conclusively, The teachers of American differs from Sudanese teachers by Their teaching pattern as both do have the way they teach. The style of teaching may differ.

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A news article reported that college students who have part-time jobs work an average of 15 hours per week. The staff of a college newspaper thought that the average might be different from 15 hours per week for their college. Data were collected on the number of hours worked per week for a random sample of students at the college who have part-time jobs. The data were used to test the hypotheses

Answers

The Confidence Interval of the given random sample survey is gotten as; CI = 13.755 ± 1.456

What is the confidence Interval?

We are given the hypotheses as;

Null Hypothesis; H₀: μ = 15

Alternative Hypothesis; Hₐ: μ ≠ 15.

where μ is the mean number of hours worked per week for all students at the college with part-time jobs.

We are told that it has a 95% confidence interval and degree of freedom of df = 25

From the t-table, the t-score = 2.06

The table gives us the standard error as 0.707 and sample mean of 13.755. Thus, we can find the confidence interval as;

CI = 13.755 ± 2.06(0.707)

CI = 13.755 ± 1.456

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What is the volume of the pyramid, to the nearest cubic foot? 5 ft3 9 ft3 14 ft3 19 ft3

Answers

The volume of the pyramid, to the nearest cubic foot is 19 ft3

What is a pyramid?

This is known to be a shape  that has outer surfaces which is said to be triangular and come together to a single point at its top.

The Volume of the pyramid is known as = 1/3 x b x h

Note that

length = 2.16ft

Area = 8ft/2

angle ACB = 30 degrees

Therefore,  when you solve inputting

tan 30= perpendicular/ base

Where AB= 7.03

The volume of the pyramid will give us 19 ft3

Therefore option with 19 ft3 is correct.

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Answer: 19ft3

Explanation:

edge

Why is a linear function not the best model for the data? for evenly spaced x-values, the of consecutive y-values is not constant.

Answers

Answer:

B. Difference

Explanation:

on edge

Answer: difference

Explanation: edg

What is the first step one should take to become more cooperative in your conflict management ?

Answers

The first step is to manage your emotions

The first step one should take to become more cooperative in conflict management manage your emotions. The correct option is d.

What is conflict management?

The practice of resolving conflicts or disagreements between people or groups is referred to as conflict management.

Identification of the dispute's root causes, open and honest communication, and cooperative problem-solving are all essential components of effective conflict management.

Emotions can frequently get in the way of clear communication and problem-solving when we are in disagreement.

We could feel defensive, irate, or agitated, which could result in miscommunication and a breakdown in teamwork.

Learning to control your emotions can allow you to develop better relationships and outcomes by promoting a more cooperative and productive environment for dispute resolution.

Thus, the correct option is d.

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Your question seems incomplete, the probable compete question is:

What is the first step one should take to become more cooperative in your conflict manag

a. manage information

b. manage both problems and solutions

c. manage your expectations

d. manage your emotions

Does listening to music while studying hinder students learning

Answers

Answer:

“Does Listening to Music While Studying Hinder Your Learning?” This is a question asked by many students, and often it comes up during tests. Studies have found that music can actually help students learn better, but listening to background music can also hinder learning. Knowing the pros and cons of this can help you decide whether background music is a good choice for your study habits.

Explanation:

Explain the prophecy concerning the righteous "branch," including who prophesied concerning this "branch." use complete sentences.

Answers

The prophecy regarding the righteous branch of the Jerusalem and Judah was prophesized by Jeremiah.

What is prophecy?

Prophecy is given as the ability for the determination of the prediction for the future. The Jerusalem and the Judah have been considered as the branch of the righteous.

The salvation of the Jerusalem and the Judah was considered to be prophesized by Jeremiah.

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Who led the communist superpower when the soviets invaded czechoslovakia during the prague spring

Answers

Answer:

The doctrine was largely a response to the Prague Spring, a period of liberalization instituted in the Soviet-bloc country Czechoslovakia by newly installed leader Alexander Dubček in 1968.

What are the vertices of the feasible region? select four options.. (1, 11) (3, 6) (5, 10) (8, 1) (1, 14) (14, 1) (1.75, 7.25)

Answers

Answer: B (3,6), C (5, 10), D (8, 1), F (14, 1)

Explanation: edge said these were right

Answer: The one before this on is c

Explanation:

trust me bro

Why do you think plants and animals cannot use nitrogen as it is found in the atmosphere?

Answers

Answer:

Nitrogen is not a sustenance for life. Plants and animals are made to use oxygen and carbon dioxide

Explanation:

A global network of interconnected networks is known as

Answers

A global network of interconnected networks is known as Internet

What is an Internet?

An internet is known as a wide global network that consists of many  smaller interconnected networks. This makes it possible that different millions of computer units world wide can connect and  communicate with each other as long as they are connected to the Internet using the standard Internet protocol suite (TCP/IP).

With the Internet,  we are able  access to information and communicate easier.

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Part a: which two of the following phrases best describe a central idea of the text?

Answers

The option that best describe a central idea of the text is that Desmond Tutu was an outspoken critic of apartheid who helped to lobby for the release of Nelson Mandela from prison.

What is Desmond Tutu role against apartheid?

Desmond  Tutu is known to be a pastor in South Africa. Through his position as a person of influence and religion, he was said to have spoken out on social problems such as , telling of international economic firms to leave  South Africa over apartheid.

He was said to have use different platform such as the fighting along with anti-apartheid campaigner Winnie Mandela in the fight against government's Terrorism Act of  1967.

See full question below

Part A: Which TWO of the following phrases best describe a central idea of the text?

A. cmarchant

3 weeks ago

English

High School

answered

1. Part A: Which TWO of the following phrases best

describe a central idea of the text?

A. The South African government created the

policy of apartheid to ensure that white

citizens could maintain power and control over

blachlimnd Asian citizens

B. The African National Congress was created to rebel against the racist policies of the white government in Pretoria.

C. Desmond Tutu was an outspoken critic of apartheid who helped to lobby for the release of Nelson Mandela from prison.

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What is a cladogram? explain how a scientist would use dna or protein sequences taken from three different organisms to construct a cladogram.

Answers

Answer:

A cladogram is a diagram used to show the relation between different animals.

A scientist would use the protien sequences or DNA to find the similarities in each animal or organism then connect them together in the diagram due to the things that they have in common

Explanation:

hope this helped

Based on your prompt, what is the best title for your presentation? presenting on a topic immigrating to america ellis island today changes in immigration

Answers

Answer:

B

Explanation:

Answer:

B - Immigrating to America

Explanation:

Ready 5 mathematics practice and problem solving answer key

Answers

Ben I do want that answer key

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However, what if you found out the children you are "helping" are actually being kept in poor conditions so voluntourists willspend money to come to the local area? Dale Rolfe, a supporter of ethical voluntourism, explains the shocking reality that "Animal sanctuaries and orphanages are often manufactured for thevoluntourist..encouraging a cycle of exploiting the very animals and children the volunteers are trying to help."[3] Proponents of the "volunteer plus travel" experience also argue that traveling to new places builds character and is a valuable way to learn about different cultures. With voluntourism, however,participants often pursue experiences that are all about them. For example, they sign up to build a school for a gold star on their resume, but they have no real building skills and take jobs away fromlocal construction workers (Schulten). Or, they arrive to teach English but instead take selfies with the locals. 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