The larger rectangle will be a square with sides of 96 ft while the pens will have 96 ft of length and 31 ft of width
How to Maximize Area of rectangle?
The side lengths of the big rectangle are x and y and so we have the following expression for its area A:
A = x*y
This is tied to the constraint that the perimeter should not be larger than the available fencing , Thus;
2x + 2y = 384 (All the fencing is used to maximize the area)
y = (384 - 2x)/2
y = 192 - x
Put 192 - x for y in A to get;
A = x(192 - x)
A = 192x - x²
Completing the square gives;
A = 9216 - (x - 96)²
Thus;
A is maximum at;
x - 96 = 0
x = 96 ft
y = 192 - 96
y = 96 ft
Then since we maximised the area of the bigger rectangle , we have maximised the area of the smaller pens. The dimensions will be;
x_small = 96 ft /3
x_small = 31 ft
y_small = 96 ft
Complete question is;
Building sheep pens: It's time to drench the sheep again, so Chance and Chelsea-Lou are fencing off a large rectangular area to build some temporary holding pens. To prep the males, females, and lambs, they are separated into three smaller and equal-size pens partitioned within the large rectangle. If 384 ft of fencing is available and the maximum area is desired, what will be (a) the dimensions of the larger, outer rectangle? (b) the dimensions of the smaller holding pens?
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A population of 250 birds inhabit the canopy of a tropical rain forest that has a carrying capacity of 400 birds. what is the maximum population growth rate (rmax) if the population grows to 283 in one year?
The maximum population growth rate (rmax) if the population grows to 283 in one year is = 13.2%
What is maximum population growth rate?The growth rate of a given population is the intrinsic rate of increase of that population.
To calculate the growth rate of a population the following is done:
The past value is subtracted from the present value. That is, 283- 250 = 33Divide the number gotten from the past value. That is, 33/250 = 0.132Multiply your answer by 100 to express it as the percentage rate. That is, 0.132 × 100 = 13.2%Therefore, the maximum population growth rate (rmax) if the population grows to 283 in one year is = 13.2%
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Which of these statements is true regarding the battle of antietam?
The statement that is true regarding the battle of Antietam are:
It was the bloodiest battle in US history.It led to the Emancipation Proclamation.What is the Battle of Antietam?
This is known to be a battle that was fought on the date of September 17, 1862.
This battle of Antietam was known to be the bloodiest single-day battle in all of American history as there were about 23,000 casualties in about 12 hours.
Conclusively, The battle was said to have ended the Confederate invasion of Maryland in 1862 and brought about the Union victory.
See full question below
Which of the following is true of the Battle of Antietam? A) It was the bloodiest battle in US history. B) It was a Confederate victory. C) It led to the Emancipation Proclamation. D) Union troops were forced to retreat.
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An employee at a construction company earns $33,000 for the first year of employment. employees at the company receive raises of $2400 each year. write a rule for the salary of the employee each year. then complete the table for the first 8 terms of the sequence.
The rule for the salary of the employee each year is $33,000 + $2,400n
Where n represents the number of years.
The completed table is:
n dn
1 $35,400
2 $37800
3 $40,200
4 $42,600
5 $45,000
6 $47,400
7 $49800
8 $52,200
What is the salary rule?The equation that can be used to determine the employee's salary in a given year is:
Total salary = initial salary + (rate of increase in salary x number of years)
$33,000 + $2,400n
Total salary in year 1 = $33,000 + $2,400(1) = $35,400
Total salary in year 2 = $33,000 + $2,400(2) = $37,800
Total salary in year 8 = $33,000 + $2,400(8) = $52,200
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Gabriel leans a 18-foot ladder against a wall so that it forms an angle of 73^{\circ} ∘ with the ground. how high up the wall does the ladder reach? round your answer to the nearest hundredth of a foot if necessary.
How high up the wall does the ladder reach is 17.21 ft.
To solve the question, we need to know what right-angled triangles are.
What is a right-angled triangle?A right-angled triangle is a triangle in which the angle facing the longest side is 90°.
The required right-angled triangleThe ladder, the ground and the wall form a right angled triangle with hyptenuse side, length of ladder, L and opposite side to angle between ground and ladder, Ф = 73° is h. Opposite side equals height of ladder along wall, h.
How high up the wall does the ladder reach?
From trigonometric ratios
sinФ = h/L
h = LsinФ
Substituting the values of the variables into the equation, we have
h = LsinФ
h = 18 ft × sin73°
h = 18 ft × 0.9563
h = 17.21 ft
So, how high up the wall does the ladder reach is 17.21 ft.
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In this excerpt, president reagan is referring to what would become known as-
Using the excerpt, President Reagan is referring to what would become known as the Iran-Contra affair.
What describes the Iran Contra affair?This is known to be a kind of secret arms deal that exist between US na d their known enemy.
The Iran-Contra Affair was known to be a type of secret operation where the US government were said to have in secret, Illegally sent weapons to a their known enemy and they were also said to have sent financial aid to a rebel force.
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You want to ask a date or friend to the school dance. using the present perfect tense, give your best speech in spanish, telling what you have or have not done to perhaps receive a "yes!" the subject of the sentence does not need to be limited to the first person singular, yo. for variety, you can use nosotros and/or tú. you must use at least 5 different present perfect tense verbs in your 5 sentence response. you must use at least 3 different vocabulary words from the unit.
The speech in spanish Present Perfect to ask a date or friend to the school dance is: As written in the answer below
How to write in present perfect tense?In order for us to conjugate the verbs correctly in this verb tense, the past participle form of the main verb must be used. Thus, we use the one that ends in -ado, -ido, while the conjugated verb "haber" is used in its present tense, as shown below:
Yo: he
Tú: has
Usted: ha
Él: ha
Ella: ha
Ello: ha
Nosotros / Nosotras: hemos
Ustedes: han
Ellos / Ellas: han
To identify the appropriate conjugation in each sentence, we must identify the noun in the sentence, replace it with the appropriate personal pronoun, and then utilise the corresponding conjugation with the help of the guide above to get;
Hola! He pensado últimamente que aunque hemos sido amigos toda nuestra vida, tú has sido la persona más especial que he conocido, por lo cual me gustaría que fueras al baile conmigo, he realizado algunas adecuaciones para que tengamos la mejor noche de nuestra vida escolar, y creo que sería una buena experiencia para pasarla contigo. ¿Qué dices?
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During a rainfall, the depth of water in a rain gauge increases at a rate modeled by r(t)=0.5+tcos(πt380) , where t is the time in hours since the start of the rainfall and r (t) is measured in centimeters per hour. how much did the depth of water in the rain gauge increase from t = 0 to t = 3 hours?
During a rainfall, the depth of water in a rain gauge increases 1.4658 cm.
What is a cosine function?Cosine is a trigonometric function, used in a right triangle to define the ratio of the side adjacent to and the hypotenuse of this triangle.
During a rainfall, the depth of water in a rain gauge increases at a rate modeled by:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})[/tex]
Where:
t is the time in hours since the start of the rainfall R(t) is measured in centimeters per hour.So, when t=0, the depth of water will be:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})\\R(0)=0.5+0cos(\frac{\pi 0^3}{80})\\R(0)=0.5 cm[/tex]
So, when t=3, the depth of water will be:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})\\R(3)=0.5+3cos(\frac{\pi 3^3}{80})\\R(3)=1.9658 cm[/tex]
So the difference will be:
[tex]R(3)-R(0)=1.4658 cm[/tex]
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A female mosquito can produce 50-500 offspring in a two-week period of time. this rapid reproduction can also result in fast evolution for this small insect species. for example, pesticide resistance occurs rapidly in insects, including mosquitoes. insecticides that were once effective at eradicating mosquito populations are no longer effective. which component of natural selection is likely playing a role in this rapid evolution for mosquitos?
They produce more offspring than can survive in their lifetime. Offspring are varied genetically, with differential survival and reproduction.
What are mosquitoes?Mosquitoes are ectoparasites, that feed on the blood of different animals. They do that by sucking blood from the skin of animals and leave red spots that are itchy.
Now, mosquitoes lay their eggs in water and live in dirty, moist, dark places. They are also responsible to cause malaria in humans.
Thus, we can say that produce more offspring than can survive in their lifetime. Offspring are varied genetically, with differential survival and reproduction.
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Use the model here to describe the transfer of matter and flow of energy
Answer:
In ecosystems, matter and energy are transferred from one form to another. Matter refers to all of the living and nonliving things in that environment. Nutrients and living matter are passed from producers to consumers, then broken down by decomposers. Decomposers break down dead plant and animal matter.
English kings had allowed their subjects to participate in making laws through representatives in parliament. this system of government worked as long as the king was not challenged on important matters. whenever the parliament clashed with their monarch, the king would get his way by suddenly convening parliament in a remote, unreachable part of the country. without a proper quorum of members, the king could then decide law as he pleased. as a result, representatives in the united states had drawn up the constitution with particular attention to the issue of where they would meet in the future. as far as jefferson and madison were concerned, only congress could relocate itself, and it could do this only after it officially convened in philadelphia. —an american plague, jim murphy what effect did the king's habit of moving parliament have on us representatives? which signal word(s) identify an effect in this passage? what conclusion can be drawn from this cause-and-effect relationship?
Answer:
Answer:1.✔ It led them to name a meeting spot in the Constitution
2.✔ as a result
3.✔ Americans did not like how the English king ruled.
Explanation:
i did the Assignment
The Parliaments, a doo-wop vocal group headquartered in a barbershop in Plainfield, New Jersey, were the precursor to Parliament.
What is Parliament?Grady Thomas, Calvin Simon, Fuzzy Haskins, George Clinton, and Ray Davis made up the group when it was founded in the late 1950s.Clinton served as the group's manager and leader.
The group had a hit with Testify" on Revilot Records in 1967; Clinton co-wrote the song. To take advantage of this chart success, Clinton started a touring band with adolescent barbershop employee Billy Nelson on bass and his friend Eddie Hazel on guitar.
Clinton momentarily lost the right to use the moniker "The Parliaments" due to a legal battle with Revilot.
Therefore, The Parliaments, a doo-wop vocal group headquartered in a barbershop in Plainfield, New Jersey, were the precursor to Parliament.
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Read the passage. then answer the question that follows. brutus. o antony, beg not your death of us! though now we must appear bloody and cruel, as by our hands and this our present act you see we do, yet see you but our hands, and this the bleeding business they have done. our hearts you see not; they are pitiful; and pity to the general wrong of rome— as fire drives out fire, so pity pity— hath done this deed on caesar. for your part, to you our swords have leaden points, mark antony. –the tragedy of julius caesar, william shakespeare which line supports the central idea that antony does not understand the conspirators’ motives? "antony, beg not your death of us!" "you see we do, yet see you but our hands, and this the bleeding business they have done." "our hearts you see not; they are pitiful; and pity to the general wrong of rome" "to you our swords have leaden points, mark antony."
The line that supports the central idea that antony does not understand the conspirators’ motives are; Options A, D & E
What is the central idea about the passage?The central ideas about the conspirators in the speech are as follows:
They are sad about their bloody deed: in the speech of Brutus feels sad after seeing the bloody hands and other parts.They had to kill Caesar to save Rome: the speech of Brutus clearly claims that Caesar must be killed to save Rome, this is due to their actions.Antony does not understand the reasons for the assassination: in the speech of Brutus, it is seen that as per the arguments it is clear that Antony is still not clear about the reason for such a bloody murder.
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Answer:
its C on edge 2022
Explanation:
On april 21, the altitude of polaris, as viewed from a location in new york state, was measured as 41.3°. what will the altitude of polaris be when viewed one month later, on may 21, from the same location?
Answer:
On april 21, the altitude of polaris, as viewed from a location in new york state, was measured as 41.3°. what will the altitude of polaris be when viewed one month later, on may 21, from the same location?
Explanation:
Use an online search engine to find a trusted online dictionary then examine the meaning of the word recalcitrant. describe the word’s origin, the most common meaning of the word, two synonyms, and two antonyms.
The word 'recalcitrant' has a Latin origin (calcitrare) and was originally used for describing "to kick" actions.
What does recalcitrant mean?Recalcitrant is a word derived from calcitrare (Latin) and originally used for indicating "to kick" actions.
A person considered 'recalcitrant' is someone who is obstinately defiant of authorities and/or social restraints.
Two synonyms of this word (recalcitrant) may be ungovernable and insubordinate, whereas two antonyms include docile and subordinate.
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Answer:
"Recalcitrant" comes from the Latin word "recalcitrare," which means "to be disobedient." The word "recalcitrant" means "stubbornly resistant." Two synonyms are "obstreperous" and "willful." Two antonyms are "compliant" and "obedient."
Explanation:
im on edge rn so .,.
You are at a pizza parlor that offers four toppings: anchovies, olives, pineapples, and sausage. how many different combinations of these items can you make if you choose?
The number of different combinations of these items that you can make if you choose four (4) toppings is equal to 1.
How to calculate the combinations of these items.In order to determine the combinations of these items that this person can make, we would use this mathematical model known as combination.
Mathematically, combination is calculated by using this mathematical equation:
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
Where:
n is the total number of items.r is the number of times of choosing items.Given the following data:
Number of toppings = 4.Let us assume you'll choose four (4) toppings.
Substituting the given parameters into the formula, we have;
⁴C₄ = 4/4
⁴C₄ = 1.
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Amy recognized that theo was in cardiac arrest and initiated cpr. if amy had determined that theo were in respiratory arrest with a central pulse of ≤ 60 bpm and signs of poor perfusion, which action would she take?
Incase of Cardiac arrest initiation, The action she would take is to tell Joe to get help and an AED.
What is Cardiac arrest?Cardiac arrest serves as abrupt loss of heart function in a person.
When someone is having cardiac arrest, It can come on suddenly or in the wake of other symptoms, one should seek Continue compressions and ventilations.
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An enzyme speeds up a chemical reaction in the cell but can only be used once.
Answer:
An enzyme speeds up a chemical reaction in the cell, but it can only be used once.
Explanation:
A 10 ft chain weighs 25 lb and hangs from a ceiling
Answer:
Cool! What do I do with it though?
For the year ended december 31 depot max's cost of goods sold was 56900
In a campaign speech, a candidate criticizes an opponent for voting in favor of a controversial bill that both of them actually supported. in what way is this tactic most likely deceptive towards voters? a) it dupes voters by using greatly inflated claims b) it distracts voters by appealing to their emotions. c) it misleads voters by omitting critical information. d) it confuses voters by accusing the opponent falsely.
Answer: It misleads voters by omitting critical information
Explanation:
Trust me
Which best summarizes the central idea in the excerpt? tan is troubled by the way her mother uses the english language. tan is uncomfortable using negative terms to describe her mother’s english. tan has difficulty trying to explain what she means when she writes in english. tan has found that the english language is lacking in descriptive word choices.
The statement which best summarizes the central idea in the excerpt is "Tan is uncomfortable using negative terms to describe her mother’s english".
The excerpt from "Mother Tongue" by Amy Tan.Lately, I’ve been giving more thought to the kind of English my mother speaks. Like others, I have described it to people as “broken” or “fractured” English. But I wince when I say that. It has always bothered me that I can think of no other way to describe it other than “broken,” as if it were damaged and needed to be fixed, as if it lacked a certain wholeness and soundness.
Therefore, it can be seen that Tan feels uncomfortable using negative terms such as broken and fractured to describe her mother's English.
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Answer:
B
Explanation:
Edge 2022
How tall is steve in feet and inches according to the game’s scale?
A 100.0 ml sample of 0.18 m hclo4 is titrated with 0.27 m lioh. determine the ph of the solution at the equivalence point.
Answer: 7
Explanation:
The volume of 0.18 M HClO4 is 100.0 mL.
Calculate the number of moles of 0.18 M HClO4 and 0.27 M LiOH as shown below:
[tex]$$Number of moles $=$ Concentration $\times$ Volume$$\begin{aligned}\text { Number of moles of } \mathrm{HClO}_{4} &=100.0 \mathrm{~mL} \times\left(\frac{1 \mathrm{~L}}{1000 \mathrm{~mL}}\right) \times\left(\frac{0.18 \mathrm{~mol}}{\mathrm{~L}}\right) \\&=0.018 \mathrm{~mol} \\\text { Number of moles of } \mathrm{HClO}_{4} &=66.67 \mathrm{~mL} \times\left(\frac{1 \mathrm{~L}}{1000 \mathrm{~mL}}\right) \times\left(\frac{0.27 \mathrm{~mol}}{\mathrm{~L}}\right) \\&=0.018 \mathrm{~mol}\end{aligned}$$[/tex]
[tex]$$Moles of both acid aand base are equal.\\ $\mathrm{HClO}_{4}$ is a strong acid and $\mathrm{LiOH}$ is a strong base.[/tex]
At the equivalence point, the number of moles of the acid completely reacted with all the moles of the added base. Thus, the solution becomes neutral in nature. The pH of a neutral solution is 7. Therefore, the pH of the solution at the equivalence point is 7.
If jordan makes only the minimum monthly payments in march, april, and may, what will his balance be after he makes the minimum payment for may? (assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23
The balance of Jordan, after he makes the minimum payment for may, when he makes only the minimum monthly payments in March, April, and May, is $988.97.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month.
At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months.
Month Cost ($) Start $628.16 March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08The total amount at the end of March is 727.01. With interest rate of 3.96% it will become, $755.8. Now, this is initial balance for April.
The total amount at the end of April is 914.76. With interest rate of 3.96% it will become, $950.98.
The total amount at the end of May is 1135.24 With interest rate of 3.96% it will become, $1180.19. For may, the minimum payment he paid.
Jordan’s credit card has an APR of 10.59%, compounded monthly. Thus, after the compounded interest with APR 10.59%, the amount will be $988.97, if he pay minimum payment for may.
The balance of Jordan, after he makes the minimum payment for may, when he makes only the minimum monthly payments in March, April, and May, is $988.97.
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Answer:B
Explanation: right on eng
A resident right is something that a person is always entitled to
Answer: Heyo Kenji Here! Here's your answer ^^ - Resident Rights include: dignity, respect, individual choice, privacy, confidentiality, active care participation, and filling complaints/grievances. Select the response that is not considered to be a Resident's right to choose. A) Resident can choose to participate in activities inside and outside the facility.
Explanation: Hope This Helps!
have a nice day!-Kenji
Under conditions of constant temperature and amount of substance, a plot of pressure vs. volume for an ideal gas will result in __________.
Under conditions of constant temperature and amount of substance, a plot of pressure vs. volume for an ideal gas will result in none of the above.
What is the Boyle's law?Boyle's law is the law used to show the relationship between the pressure and the volume of the gases, when the temperature and amount of substance is constant.
According to this law, the pressure is inversely proportional to the volume. By this law,
[tex]p\propto\dfrac{1}{V}[/tex]
Here, (p) pressure and (V) is volume.
For the 1/V, the pressure vs. volume has a linear line, and we get a line in result.For the pressure vs. volume by Boyle's law, we get a curved graph for a fixed point.The options of the problem are,
a) a lineb) a parabolac) a logarithmic functiond) none of the aboveThus, under conditions of constant temperature and amount of substance, a plot of pressure vs. volume for an ideal gas will result in none of the above.
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Why should teachers develop a style that suits their personalities
Answer: teachers need a style to show their personality they can embrace their personality
A consumer charges a $46.92 purchase on a credit card. the card has a daily interest rate of 0.039%. if the consumer pays off the balance at the end of 30 days, how much in interest will be paid for the purchase? a. $0.06 b. $0.18 c. $0.55 d. $5.49 please select the best answer from the choices provided. a b c d
The interest that will be paid for a period of 30 days at an interest rate of 0.039% will $0.55
Interest Rate ComputationGiven Data
Charge on purchase = $46.92Daily interest Rate = 0.039%Number of Days = 30Let us find the daily amount in Interest
= 0.039/100*46.96
= 0.0182988
Hence the daily interest made will 0.018
Also, for 30 days the accrued amount will be
= 0.18*30
= 0.548964
= $0.55
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Answer:
C. $0.55
i got 100%
How are these excerpts similar? both insist that taxes should be reduced. both offer accusations of legal oppression. both complain about real estate values. both encourage the underprivileged to speak up.
The excerpts are quite similar as both offer accusations of legal oppression.
What is oppressive conduct?An oppressive conduct is known to be a kind of conduct that is known to be against the interests of the people, firm etc.
Note that this is an oppressive behavior and according to the text or excerpt, they are both similar as both gives accusations of legal oppression.
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Answer:
B. Both offer accusations of legal oppression.
Explanation:
Using the coordinates, calculate the lengths of any two adjoining sides of the rectangle. you may choose either the pythagorean theorem or the distance formula. in either case, show your work.
Answer:
Ngl I answered this question thinking it was a different question so obvi that was wrong
My bad lol :/
Answer:
Based on the sides and the method the student chooses, but the side lengths will be the same for each calculation method. This answer assumes the student applied the distance formula:
AB= (4−(−4))2+(4−(−2))2
=(8)2+(6)2
=36+64
=100
=10
BC= (7−4)2+(0−4)2
=(3)2+(−4)2
=9+16
=25
=5
Explanation:
Sample answer from plato
Select the correct answer. what happens to the molecules within a gas when the gas condenses? a. they gain energy. b. they lose energy. c. they drift apart. d. they move faster.
Answer:
Answer is B
Explanation: