If 384 ft of fencing is available and the maximum area is desired, what will be the dimensions of the larger, outer rectangle? (ii) what will be the dimensions of the smaller holding pens?

Answers

Answer 1

The dimensions of the smaller holding pens from the parameters given are; 96 ft and 31 ft

What dimensions will maximize the area?

From the complete question, if the side lengths of the big rectangle are x and y, then the expression for the area A is:

A = x*y

Then perimeter since we have 384 ft of fencing available is;

2x + 2y = 384  

y = (384 - 2x)/2

y = 192 - x

Put 192 - x for y in area formula;

A = x(192 - x)

A = 192x - x²

Completing the square of this are equation gives;

A = 9216 - (x - 96)²

This means that A is maximum at x - 96 = 0

Thus, A is maximum when x = 96 ft

At A_max; y = 192 - 96 = 96 ft

Since the area of the bigger rectangle has been maximized, it means that we have also maximized the area of the smaller pens. Therefore its' dimensions will be;

x_small = 96 ft/3 = 31 ft

y_small = 96 ft

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Related Questions

The scatterplot and table show the weekly profit in dollars earned

Answers

Add a picture for an answer next time

Valid reasons why a company should definitely open a new production facility in latin america include

Answers

The valid reason is; the ability to earn bigger profit margins per branded pair sold in Latin America than in either Europe-Africa or Asia pacific.

What are the benefits of new production facility?

The valid reasons why a company should definitely open a new production facility in latin america is because of the ability to earn bigger profit margins per branded pair sold in Latin America than in either Europe-Africa or Asia pacific regions.

The reason for that answer is because of pure business decision which is to make profits.

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All of the following have been associated with feelings of hope except __________.

Answers

Answer:

What Are the Answer Choices

Explanation:

I believe I know the answer, but I need the answer choices.

If 25 a 9 b 3=75 and 15 a 6 b 2=45, then 16 a 8 b 2=?

Answers

Answer:

64

Explanation:

since 25 a 9 b 3 =75

9/3 =3

3×25 equal 75

then

16 a 8 b 2=

8÷2=4

4 ×16 =64

Algebra 1 houghton mifflin harcourt teacher edition pdf

Answers

An example of Algebra 1 Houghton Mifflin Harcourt  is quantitative reasoning such as Rewrite the term 9a+4b+(-18).

What is a algebra in math?

Algebra is known to be a part of  mathematics that handles problems with symbols or variables and it is known to often uses arithmetic operations such as (+, –, ×, ÷) to look for an unknown quantities.

To rewrite the terms, known that the terms are part of the expression that are said to being added. Therefore, for one to be able to rewrite subtraction as addition in the expression,

9a+4b+(-18)

Then it will be

9a, 4b, - 18

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Read the article and use the information to answer the following questions. puberty when does puberty occur? what causes the changes that occur during puberty?

Answers

Answer:

include this: For girls, puberty typically occurs between the ages of nine and thirteen

For boys, puberty typically occurs between the ages of ten and fifteen.

An increase in hormones – estrogen and progesterone in girls and testosterone in boys – causes the changes that happen during puberty.

Explanation:

Puberty appears differently in boys and girls. It happens between ages 10 to 14 in girls while 12 to 16 in boys. This stage of puberty relies on hormonal imbalances.

What do you mean by Puberty?

Puberty may be described as the time in the life of any person when a boy/girl becomes erotically mature.

In boys, puberty relies on the hormone testosterone which generates some changes like beard growth, voice modification, etc. In girls, puberty relies on the hormones estrogen and progesterone which drives some changes like breast development, menstrual cycle, etc.

Therefore, above exist some changes that happen during puberty.

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#SPJ2

based on the data above, which of the following hypotheses about the future conditions in the arctic is most plausible if the trend seen from 2011 to 2017 continues?

Answers

The data here are NOT found, but it has been hypothesized that the arctic will continue defrosting and the albedo population will decrease.

What is climate change?

Climate change refers to the progressive warming of the Earth planet, which is believed to be a consequence of human activities.

It is believed that the burning of fossil fuels is increasing global climate change by warming the Earth.

The burning of fossil fuels might cause the defrosting of the Arctic ice and decrease natural populations by increasing the greenhouse effects.

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Precalculus with trigonometry: concepts and applications answers

Answers

Heh jevbeh hvbeb Ivan h be ey at your convenience store if I have time ueurieyey to go to your shop or do you want to come over to your place to get some coffee or whatever you need me and you to do

nicole is socially inhibited and oversensitive to negative evaluation

Answers

Answer:

avoidant personality disorder

Which expression can be used to find the volume of the rectangular prism in cubic centimeters?

Answers

Answer:

I think it my be length x width x height

The term for the type of degrees earned by a group of people is

Answers

The terminology for the various type of degrees that are earned by a group of people is academic degree.

What is an academic degree?

An academic degree can be defined as a type of qualification that is issued to a student or an individual upon successful completion of a programme, course of study and learning process.

This ultimatley implies that, an academic degree is a terminology that is used to describe or qualify the various type of degrees that are earned by a group of people, especially after successfully taking series of examinations.

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Answer:

Educational Attainment

Explanation:

Suppose the government in this economy decides to decrease government purchases by $250 billion. the decrease in government purchases will lead to a decrease in income, generating an initial change in consumption equal to . this decreases income yet again, causing a second change in consumption equal to . the total change in demand resulting from the initial change in government spending is .

Answers

When the government decides to decrease government purchases by $250 billion, this will lead to a $175 billion decrease in income.

How to calculate the decrease in income?

From the information, the government decides to decrease government purchases by $250 billion. The decrease in income will be:

= $250 × 0.7

= $175 billion

This decrease in income yet again will cause a second change in consumption equal to:

= $175 × 0.7

= $122.5 billion

The total change in demand resulting from the initial change in government spending will be:

= $250 × (1/30%)

= $250 × 3.33

= $833 billion

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Find the exact volume of this cylinder in terms of π. refer to your staar 8th grade math reference sheet for the appropriate formula. question 1 options: 45π cm3 90π cm3 225π cm3 900π cm3

Answers

The exact volume of the given cylinder with a height of 9cm and a diameter of 10 cm is; 225π cm³

What is the volume of the cylinder?

We are given;

height of cylinder; h = 9 cm

diameter of cylinder; d = 10 cm

Thus, radius; r = d/2 = 10/2 = 5 cm

Formula for volume of a cylinder is;

V = πr²h

V = π * 5² * 9

V = 225π cm³

In conclusion, the volume of the cylinder is 225π cm³

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Algebra 1: concepts, skills, and problem solving (california) solutions

Answers

An example of Algebra 1 problem solving question is  (3 + a) + b².

What is algebra?

The Basics of Algebra are known to cover simple math areas such as numbers, variables,  multiplication, division that are found in algebraic expressions.

Looking at this question,  (3 + a) + b², you collect like terms;

(3 + a) + b²

= 3a + b²

Therefore, the answer is 3a + b².

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What is the most accurate analysis of the reason presented in the second sentence? the reason is logically sound, because the writer is expressing a fact that has been proven. the reason is logically sound, because the writer validates the reason with empirical evidence. the reason is not logically sound, because the writer does not include strong factual evidence. the reason is not logically sound, because the writer does not connect the reason to the claim.

Answers

The answer is “the reason is not logically sound because the write does not include strong factual evidence”

Answer:

c

Explanation:

Which propaganda technique is represented by the quote, "my opponent is soft on crime!"? a) bandwagon b) name calling c) stacked cards d) glittering generality

Answers

The propaganda technique represented by the quote "my opponent is soft on crime!" is name calling (Option b).

What is name-calling?

The expression name-calling makes reference to the propaganda based on stereotypes and/or labeling.

The name-calling strategy can be a direct or indirect manner for making the propaganda in the media.

This propaganda (name-calling) occurs when complementary expressions-words are used by the media to describe people.

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A mass is suspended on a vertical spring. initially, the mass is in equilibrium. then, it is pulled downward and released. the mass then moves up and down between the "top" and the "bottom" positions. by definition, the period of such motion is the time interval it takes the mass to move:

Answers

A mass suspended from a spring is pulled down a distance of 2 ft from its rest position, as shown in the figure. The mass is released at time t=0
and allowed to oscillate. If the mass returns to this position after 1 s, find an equation that describes its motion.

Read this excerpt from rudyard kipling's novel kim in which kim responds to the lama's questions. then complete the sentences that follow. "so they made the triple trial of strength against all comers. and at the test of the bow, our lord first breaking that which they gave him, called for such a bow as none might bend. thou knowest?" "it is written. i have read." "and, overshooting all other marks, the arrow passed far and far beyond sight. at the last it fell; and, where it touched earth, there broke out a stream which presently became a river, whose nature, by our lord's beneficence, and that merit he acquired ere he freed himself, is that whoso bathes in it washes away all taint and speckle of sin." . . . "if i knew, think you i would not cry it aloud?" "by it one attains freedom from the wheel of things," the lama went on, unheeding. "the river of the arrow! think again! some little stream, maybe—dried in the heats? but the holy one would never so cheat an old man." "i do not know. i do not know." the lama is looking for "the river of the arrow" because . the excerpt shows that .

Answers

Answer:

The lama is looking for "The River of the Arrow" because  he thinks he will be purified spiritually when he finds it .

The excerpt shows that  Kim is eager to show the lama that he does not know where the river is located .

Explanation:

Answer:Edmentum

Explanation:

Find a common domain for the variables x, y, and z for which the statement ∀x∀y((x ≠ y) → ∀z((z = x) ∨ (z = y))) is true and another domain for which it is false.

Answers

The common domain for the variables is; It is true on every set with no more than 22 members and false on other sets.

What is the domain of the variables?

We are given the statement;

∀x∀y((x ≠ y) → ∀z((z = x) ∨ (z = y)))

Since x and y are different objects in the domain, then we can say that anything in the domain is equal to x or to y.

Now, If the domain M has two elements, it means that the given sentence will obviously hold. Also, a one-element domain will work since there wouldn't be a pair x, y such that x ≠ y.

We can conclude that the common domain for the variables is; It is true on every set with no more than 22 members and false on other sets.

An example is that it is true on {a,b} and false on R

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advantage of series combination of cell​

Answers

Explanation:

Advantages of series combination:

Cells connected in series give a greater resultant voltage than individual cells.

Voltage increases if the number of cells increases.

Series circuits do not overheat easily.

Hope it helpz~

Gabrielle is writing a research paper about how reindeer are adapted to their habitat. Which two websites will most likely give gabrielle relevant information for her research paper?

Answers

Answer:

Reindeer Facts- All About Reindeer

Reindeer | Reindeer info page

Explanation: Got it right on edmentum

Answer: Answer:

Reindeer Facts- All About Reindeer

Reindeer | Reindeer info page

Explanation:

Brianna is working on her homework. her assignment is to come up with four representations for an exponential function of her choosing. she decides it is easiest to start by writing an equation, so she chooses . help brianna create the other three components of the web.

Answers

Brianna is working on her homework. using an exponential function in the form y = abˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where y, x are variables, a is the initial value of y and b is the multiplication factor.

Brianna is working on her homework. using an exponential function in the form y = abˣ

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In exercises 7–14, either use an appropriate theorem to show that the given set, w, is a vector space, or find a specific example to the contrary.

Answers

A theorem in mathematics is the statement that has been proved it van be proved to be true.

What is a theorem?

Your information is incomplete. Therefore, an overview will be given. A theorem simply means a statement that can be demonstrated to be true based in mathematical proportions and arguments.

A vector space is simply the set of objects called vectors that can be added together and multiplied by numbers that are called scalars. An example is a² + b² = c² for a right angled triangle.

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A set of stairs leading to the entrance of a building is designed in the shape of an isosceles trapezoid with the longer base at the bottom of the stairs and the shorter base at the top. If the bottom of the stairs is 21 feet wide and the top is 14 feet wide, find the width of the stairs halfway to the top

Answers

Answer:

17.5

Explanation:

have to find the midsegment of the rhombus.

Module 11 angle relationships in parallel lines and triangles answer key

Answers

An example of Module 11 angle relationships in parallel lines and triangles question is give in the image attached. The answer (Image attached) to the question is  ∠8 and ∠1 .

What are the examples of Angles of Parallel Lines?

Angles can be said to be directly opposite each other and they are known as  vertical angles which are said to be congruent.

Alternate interior angles and alternate exterior angles are known to be two other pairs of corresponding angles that are also said to be congruent.

The  angle ∠8 and ∠1  are pair of angles are alternate exterior angles because they are pair of angles on the outer side of a specific two parallel lines but are found to be on the opposite side of the transversal as shown in the image.

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A shoe box width a dimension of 8 inches by 10 inches by 9 inches. find its surface area.

Answers

I think it’s 8*10*9 will be the surface area

Find the mass of a football player who weighs 1250 n of force and has an acceleration of 1.5 m/s2

Answers

Mass=force/acceleration
1250/1.5=833.3

In the poem "o captain! my captain!" by walt whitman, the central idea of this poem centers around the death of a hero. which line from the poem best illustrates this central idea?

Answers

Where can I find the poem? To answer your question.

A boundedintarray represents an indexed list of integers. in a boundedintarray the user can specify a size, in which case the indices range from 0 to size - 1. the user can also specify the lowest index, low, in which case the indices can range from low to low + size - 1.

Answers

The declaration of the data fields myItems and myLowIndex is that they prevent run time errors each time public methods needs to access the private data fields

How to determine the true statement?

The boundedintarray is an illustration of arrays and lists

From the complete question, we have the declaration of the data fields:

myItems and myLowIndex

The declaration of the above data fields are used for the following reasons:

Prevent run time errorsAllows a public method to access private data fields

Hence, the true statement about the declarations prevent run time errors each time public methods needs to access the private data fields

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which of the following is one of the reasons to debrief after doing an event when using the abcd model?

Answers

A reasons to debrief after doing an event while using the ABCD model is to make the communication of issues simple and plain.

What is an ABCD model?

An ABCD model is an abbreviation for assumption based communication dynamics model and it can be defined as a strategic methodology that allows a project manager or business organization to capture differing opinions, viewpoints and knowledge from respective stakeholders, so as to enhance the swift communication of issues and ensures a proactive management of associated risks.

Based on the assumption based communication dynamics (ABCD) model, it is important to debrief after doing an event because it provides a simple language for the communication of risk to various departments of a business organization.

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