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

which diagram best represents the efficient extraction of oxygen from water by the mechanism of countercurrent exchange?

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The diagram that best represents the efficient extraction of oxygen is the diagram, where  oxygen gradient do exists with the full length of the capillary.

What is the extraction of oxygen?

The term Oxygen extraction fraction (OEF) is known to be a term that connote the rate of blood oxygen that a tissue often absorbed from the blood flow to keep function and morphological state.

Note that the OEF shows the efficiency of oxygen use by the tissue and, so it is a hemodynamic way of measurement in brain ischemia.

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Houghton mifflin harcourt geometry (volume 2 teacher edition pdf)

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Houghton Mifflin Harcourt geometry is known to be a popular textbook. An example of this geometry is trigonometry and angles.

What is Houghton Mifflin Harcourt geometry  about?

This geometry  textbook is written by  Houghton Mifflin Harcourt . It is one that helps student to build their existing knowledge on geography.

The term trigonometry is known to be a branch of mathematics that functions mostly with some special functions of angles and also their application in terms of calculations.

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in part two of trifles, which of the following most supports the feminist theme that women suffer abuses within a male-dominated society?

Answers

The statement that mosupports the feminist theme that women suffer abuses within a male-dominated society is: the bird with the broken neck.

Trifles

The bird with the broken neck best support the feminist theme  as it best depict the different abuses women pass through.

It showcase or represent what women endure in their marriages as well as  how women are maltreated in a society that in male dominated.

Therefore the statement that supports the feminist theme is: the bird with the broken neck.

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A computer’s memory is composed of 8k words of 32 bits each. how many total bytes in memory?

Answers

The number of total bytes in memory is 32,000 bytes.

How many total bytes in memory?

We know that the memory is composed of 8k (or 8,000) words of 32 bits each.

To get the total memory, we just need to take the product between the number of words and the memory that each has.

This will give:

8,000*(32 bits) = 256,000 bits.

But we want this in bytes so we need to change the units, remember that:

1 bit = 0.125 byte.

Then we have:

256,000 bits = 256,000*( 0.125 byte) = 32,000 bytes.

The memory has 32,000 bytes in total.

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Mike is hanging a string of lights on his barn for a square dance

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I’m sorry but I’m just not feeling good right now but I’m still waiting for a new job for me and my brother and sister-in-law will have them for you tomorrow at work

Look carefully at all of the underlined words. based on the context of this quote, what does "elective franchise" mean?

Answers

Answer:

tbh I'm not really sure sorry ‍♂️

Answer:

C. Right to vote

Explanation:

Which words complete the sentence correctly? allowed, allowed aloud, aloud aloud, allowed allowed, aloud

Answers

Answer:

depends on what u are talking about

Explanation:

if you ask “ mom am i allowed to use the restroom?”

Or if ur talking about music the mom would generally say “that music is aloud” or something like that

List down 3-5 potential obstacles you may encounter on work immersion

Answers

During the conduct of the immersion The three ( 3) potential obstacles that I may encounter on work immersion are as follows: First, is the skills needed to do the job during immersion. The second is the time conflict between classes and the third is the financial inadequacies.

There are 18 mathematics majors and 325 computer science majors at a college. in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?

Answers

Answer:To pick one mathematic major we have 18 way, and o pick one computer science we have 325 ways, so we have 18 * 325 = 5850 ways to make a combination from them.

Explanation:

When a strontium atom loses two electrons to form an sr2+ ion, the electrons are lost from the

Answers

Answer:

5s orbital

Explanation:

Answer:

Answer: When a strontium atom loses two electrons, it becomes a(n) cation with a charge of 2+. when any neutral atom loses an electron it becomes a cation that is positively charged ions and an ion gets the charge according to the number of electrons loses. 5s orbital

Explanation:

Which type of growth is best illustrated by this rabbit population?

Answers

The type of growth that is best illustrated by the rabbit population is; exponential growth.

What is the population growth?

Looking the graph giving illustrated by the rabbit population seen online, it is clear that the number of individual in that population continually increase until a maximum point was reached. Thereafter, there was a slight decline in the population.

Finally, the maximum point reached on the graph is the carrying point and the value from the graph is about 0.4 million and we can say that this depicts an exponential growth model.

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An agricultural station is testing the yields for six different

Answers

The statement about the design that is correct is that; This a block design with fields as blocks and seed types as treatments.

What is random block design?

From the complete question seen online, we see that the researchers in this agricultural testing divide each field into six sections and then randomly assign one variety of corn seed to each section in that field.

Now, we are further told that this procedure above is repeated for each field and at the end of the growing season, the corn will be harvested, and the yield measured in tons per acre will be compared.

Finally, we can say that this is a block design because it is an experiment where the fields that have certain characteristics are grouped together to form blocks, while the treatments are the variety of corn seeds that are randomly assigned within each block.

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What is one major drawback of economic specialization for countries?

Answers

One major drawback of economic specialization for countries is; Countries must trade for essential goods outside of their specialization.

What is economic specialization?

Economic specialization is the process where a company or individual decides to focus their labor on a specific type of production.

Now, the overall impacts of specialization on the economy are so huge. This is because specialization in a field develops new techniques that lead to huge increase in productivity.

In conclusion, Increased economic specialization leads to higher standards of living for all those involved in economic exchanges.

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of these four causes of death due to injury

Answers

Answer:

Injury on the neck can be fatal, as well as injury in the spine, head, and any other major injury such as a broken rib, which has possibility to damage other organs.

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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When did lillie allow an external company access to her credit report specifically for an auto loan?

Answers

The time that Lillie allowed an external company to access its credit report is 5/10/2017.

What was Lillie's transaction about?

Lillie was known to have received a request from her Toyota Financials to present her credit report so that she can be granted access to her auto loan approval.

She was said to have provided the access on the say of 5/10/2017 because there was a form of delay in giving them access to the financials but she was said to have given them on the date of 5/10/2017.

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Water is boiled to make steam to turn a generator to send power to a house. the energy conversions involved include ___________________

Answers

girk the water bacially uses ifye oh ar head because he’s bald

A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. from a random sample of 25 papers, the linguist counted the number of words used in each paper. the 95 percent confidence interval was calculated to be (20,995, 22,905)

Answers

The correct interpretation regarding the confidence interval is that we are 95% confident that the mean number of words used in all papers is between 20,995 and 22,905.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b

In this problem, the 95% confidence interval for the number of words in the sample of 25 papers is (20,995, 22,905), hence the interpretation is that we are 95% confident that the mean number of words used in all papers is between 20,995 and 22,905.

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Purvik and nisha spent a summer day at a popular amusement park with friends. they rode roller coasters, ate cotton candy, and played carnival games to win prizes. explain how each of the following might have played a role in their day

Answers

The way the different type of emotions might have played a role in their day is; As detailed in the explanations below

What are some of the roles in motion theory?

The role of given thing that might have played in their day are as follows:

The Amygdala: This is an important part of the limbic system that is responsible for the processing of emotions like joy, wonder, fear e.t.c.

The approach-approach conflict: This is one that takes place when there's conflict to decide between two appealing goals. It plays a role in deciding which activity to do first.

Arousal theory: It is a theory that plays a major reason people are driven to perform any action is to maintain the optimal level of physiological arousal.

Informational Social Influence: It is a psychological process in which people imitate of actions of others.

Motion parallax: This is a monocular depth cue. It generates a feeling like an object that is closer moving faster than objects that are further away from us.

Taste aversion; This is when our senses or mind develops resistance towards certain types of food.

Vestibular sense; This involves the sensations of body rotation and of gravitation and movement arise in the inner ear.

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Meg surveyed some students at her school about their favorite professional sports. of the students surveyed, 2 said football was their favorite sport, while 8 of the students had other favorite sports. what is the experimental probability that the next student meg talks to will pick football?

Answers

Answer:

1/5

Explanation:

If 10 students were presumably interviewed and 2/10 said football whereas the other 8/10 said something else, then the 2/10 fraction can be simplified to 1/5 which is your answer. Hope this helps!

What phrase is repeated in this passage? what idea is emphasized through repetition?

Answers

Answer:

Q: What phrase is repeated in this passage?
A: Go Back

Q: What idea is emphasized through repetition?
A:
Returning home with renewed hope

Explanation:

Got it right on edge!

What phrase is repeated in this passage A: Go Back. What idea is emphasized through repetition? Returning home with renewed hope.

What is Repetition?

Repetition is the straightforward repetition of a word within a condensed number of words (including in a poem), without specific word placement to ensure emphasis.

It is a multilingual written or spoken device that is often employed in Hindi and Mandarin in addition to English. As a result, it is rarely referred to as a figure of speech.

Its forms, many of which are described below, have various resonances to listing (forms of enumeration, such as "First, Second, Third, and Last..."), and, as a matter of trite logic, frequently have effects that are comparable to each other.

Therefore, What phrase is repeated in this passage A: Go Back. What idea is emphasized through repetition? Returning home with renewed hope.

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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

What is the probability that a player will toss the die at least 2 times before blue lands faceup?

Answers

The probability that a player will toss the die at least 2 times before blue lands faceup is 0.5625.

What is Probability?

This is known to be an aspect of mathematics that deals with numerical depiction of how likely an item is to take place or occur or not.

Note that in the scenario above, for each toss, there are only two possible outcomes, either blue lands face up, or not and as such

2 outcome  out of the 8 faces which are blue is =

p = 2/8 = 0.25

P (X = 0) = C₂.₀(0.25)⁰. (0.75)₂ = 0.5625

Therefore, the answer is 0.5625

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A student knows the mass of one of the reactants of a chemical reaction and wants to calculate the mass of one of the products of the reaction. which process should the student follow?

Answers

There are different ways to calculate math. What the student is to do in the above scenario are:

To Multiply the mass of the reactant by its molar mass to find the number of moles of the reactant. Use the chemical equation to find the number of moles of the product. Divide the number of moles of the product by its molar mass to find the mass of the product.

What is the mass of reactant?

The law of conservation of mass is one that states that in form of chemical reaction, the total mass of reactants is known and regarded as  equal to the total mass of products.

The steps in mass calculations are mass  = moles × molar mass

Calculate moles = mass(Mg) ÷ molar mass, moles.

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What are the disadvantages of using artificial blood brainly

Answers

Answer:

To be effective, a blood substitute has to function like hemoglobin in carrying oxygen to organs and cells inside the patient's body. The problem, however, is that hemoglobin outside of RBCs is toxic.

Explanation:

complete the diagram of the mechanism of a general enzyme-catalyzed reaction. the abbreviations e, p, and s indicate the enzyme, product, and substrate, respectively.

Answers

It should be noted that the the mechanism of a general enzyme-catalyzed reaction. the abbreviations will be E + S = ES = EP.

What is an enzyme?

An enzyme simply means a substance that acts as a catalyst that speeds up the rate of chemical reaction.

In this case, it should be noted that the the mechanism of a general enzyme-catalyzed reaction. the abbreviations will be E + S = ES = EP.

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The half life of rubidium 87 is about 48.8 billion years

Answers

you are missing a part of the question i believe?

Evaluate the indefinite integral as an infinite series. arctan(x2) dx

Answers

The indefinite integral expressed as an infinite series  is;

[tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

How to find indefinite integral?

We will first have to look for the Maclaurin series of arctan(x).

We'll recall that from online tables of integral, this Maclaurin series of arctan(x) will have the general formula;

[tex]arctan(x) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{x^{2n + 1} }{2n + 1}[/tex]

When we apply that general Maclaurin series of arctan(x) to our question of arctan(x²), we have the expression as;

[tex]arctan(x^{2} ) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x^2)^{2n + 1} }{2n + 1}[/tex]

⇒ [tex]= \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1}[/tex]

We now integrate the expression that we got above in the following manner to get;

[tex]\int\limitsarctan(x^{2} ) = \int\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1} dx[/tex]

⇒ [tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

Thus, that expression gives us the indefinite integral of arctan(x²) as an infinite series.

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(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.

Answers

Answer:

So I turned homeschool not too long ago and you do need to the the SAT/ACT depending on which community college it is? If the high school or college offer ACT then the test you most likely need to take is the ACT. But if the test they offer is SAT then you should take that. Taking both of the SAT and ACT would only do better on your resume/aplication so it's really up to you. I plan to take both if I have the time. But I heard most people take the ACT. You should check what your community usually offer.

Hope this helps.

Explanation:

Answer:  college admissions is handled very similarly for homeschoolers as it is for traditionally schooled students. In fact, many admissions offices actively seek out homeschoolers. Admissions officers evaluate each student within the context of his/her own background and the opportunities they've had. There are, however, a few differences regarding how homeschoolers submit certain application materials. As a homeschooled student, your parent or primary teacher is responsible for creating your high school transcript and for sending it to your colleges. Parents have a few different options for going about this:

 1. Working under an umbrella school that produces official transcripts and diplomas

2. Creating their own transcript and diploma

3. Enlisting a service that specializes in transcript and diploma creation

4. Joining a homeschool group that produces professional transcripts and diplomas

Explanation:

Your transcript should include all of the following information:

Your name, the name of your homeschool (if applicable), address, and phone number

Your high school course list ordered by year (grades 9-12)

The institution where each class was taken (i.e. homeschool, online institution, community college)

The grade scale being used in your homeschool

Your overall GPA

Credits given per course (listed per semester and per year)

Expected graduation date

Parent signature with a date

Homeschoolers do not need a GED or a diploma to apply to college or qualify for financial aid; you just have to declare that your homeschool education meets state law requirements. Most homeschooled students choose not to take the GED if they have valid transcripts, as colleges will place the most emphasis on your transcript and standardized test scores. If you’re homeschooled through an online academy, virtual school, or organized homeschool program then they will award your diploma according to their own standards. If you’re homeschooled independently by your parents, then your parents have the option of issuing you a diploma if your transcripts indicate you’ve met the basic state requirements for graduation. When filling out the FAFSA, be sure to check “homeschooled” when it asks for your high school completion status. Even if your homeschool is administered through an umbrella organization, you should still check “homeschooled” instead of “high school diploma” to avoid any delays in the processing of your application.

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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