Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let the length of the rectangular area be L and W be the width of the rectangular garden hence:

Perimeter = 2(L + W)

There is 100 feet of fencing available which represents the perimeter, therefore:

100 = 2(L + W)

L + W = 100/2

L + W = 50  

L = 50 - W

The area (A) = L × W

A = L × W

A = (50 - W) × W

A = 50W - W²

To get maximum area, we find the first derivative of the area and equate to zero

A' = 50 - 2W

50 - 2W = 0

2W = 50

W = 50/2

W = 25 feet

100 = 2(L + W)

50 = L + W

L = 50 - W = 50 - 25

L = 25 feet

To maximize area, the length and width should be 25 feet each


Related Questions

Find f(-3) when f(x) = -x²+1​

Answers

Answer:

3x²- 1

Step-by-step explanation:

f(-3) when f(x) = -x²+1

(-x²+1) × -3

3x²- 1

Solve the equation
below. Show all of your
work.
5x = 45

Answers

You should write it
X= 45/5
Than:
X=9/1 or hust straight x=9
X=9
5x = 45

Step 1: Divide both sides by 5.

5x/5 = 45/5

Answer: x = 9

The scale of a map is 1.5cm : 75km. What is the actual distance between two
towns that are 3.5cm apart on the map?

Answers

Answer:

175 km

Step-by-step explanation:

1.5/75=3.5/x

1.5x=262.5

x=175

It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?

Answers

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

8 degrees

(-7) + 15 = 8

If m<1=105 and m<4=115, then m<6=

A.75 B.40 C.50 D.60​

Answers

the answer is 40 so B

Una tableta contiene 500 mg de paracetamol, ¿cuántas tabletas se obtendrán con 5kg del mismo medicamento? xfavor ayudenme con explicación y todo lo necesito para el sabado

Answers

Answer:

Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento

Step-by-step explanation:

La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta

El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;

[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]

Observamos que 5 kg = 5,000,000 mg

Por lo tanto;

[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]

Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.

Given AABC ADEF, AB = 4x-1, FD = 7, and DE = 8x-33.
Find the value of x and the length of DE.
x=8 and DE = 31
x=8 and DE = 9
Ox=2 and DE = 10
x = 2 and DE = 7

Answers

Answer: x=8 and DE=31

Step-by-step explanation:

Is the side length √ 23+3 rational or irrational? Explain your reasoning.
100 points but If you answer something random I will report.

Answers

Answer:

Irrational

Step-by-step explanation:

[tex] \sqrt{23 + 3 } = \sqrt{26} [/tex]

An irrational number is a number that cannot be written as a fraction. Therefore √26 is an irrational number.

Irrational

Step-by-step explanation:

An irrational number is a number that cannot be written as a fraction. Which means that √23 is an irrational number.

BRAINLIEST ANSWER IF CORRECT!!!!!
The function F has a removable discontinuity at?

Answers

Answer:

x=2

Step-by-step explanation:

Removable discontinuity is when you can connect the graph by filling in 1 singular point

Will give brainliest A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Which inequality and statement can be used to determine the dollar amount the club will need to raise during the remaining months?

Answers

Answer:

They need to raise $350 to attend the state competition.

Step-by-step explanation:

Answer:

$350

Step-by-step explanation:

750-400=350

The chess club needs to make $350 in a matter of four months to go to the state competition.

Hannah has 2 hamsters named Bob and Fran. Bob weighs 3.62
ounces, and Fran weighs 2.79 ounces. How much heavier is Bob
than Fran?

Answers

Answer:

Bob is 0.83 ounces heavier than Fran

Which list shows all the factors of 18?

Answers

Answer:

1, 2, 3, 6, 9, and 18 are factors of 18

Step-by-step explanation:

anything that divides into 18 evenly are factors of 18

Answer:

1

2

3

6

9

18

Step-by-step explanation:

Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X and Y. Lines EA and FG are parallel. check all that aply

Answers

Answer:

Planes EA and FG

Step-by-step explanation:

Answer:

EA & FG

Step-by-step explanation:

Edge 2020

What is the percent of the discount for a $60 item that sells for $45?

Answers

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

If x = 3 solve x-(-4) =

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Replace x with the given value and solve.

[tex]x-(-4)\\\\3-(-4)\\\\3+4\\\\\boxed{7}[/tex]

Hope this helps.

1634 divided by 12 round it to the nearst tenth

Answers

Answer:

136.2

Step-by-step explanation:

Answer:

136.2

Step-by-step explanation:

1634/12=136.1666666667=136.2

Home Algebra 1 Support Final Exam Term 1
y = 3x - 1
y = -3x - 1
Which describes the number of solution(s) to the system of linear equations shown above?
C
Exactly two
None
A
An infinite number
D
B
Exactly one

Answers

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

Answerr this. Will also give branliest. helpp

Answers

Answer:

Angles 1 and 9 are corresponding angles

2 and 3 same side interior angles

8 and 12 are OTHER

6 and 12 are alternate interior

1 and 2 are linear pairs

15 and 11 are alternate interior

8 and 9 are same side interior

2 and 4 are corresponding

Step-by-step explanation:

Use the graph!

Brainliest??Hope it helped!

∠1 and ∠9 = Corresponding angles

2 and 3 = Same side interior angles

∠8 and ∠12 = Other

∠6 and ∠12 = Alternate interior angles

∠1 and ∠2 = Lineae pair

∠15 and ∠11 = Alternate interior angles

∠8 and ∠9 = Same side interior angles

∠2 and ∠4 = Corresponding angles

100 points if you do this correctly. Just simply tell me where the words need to be in struggling ;ccc (i can't give brainliest so reward is a bumblebee).

Answers

Answer:

one: perpendicular

2 : hypotenuse

Step-by-step explanation:

Salon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile and 1/9 of an hour he bikes for miles in a quarter of an hour at these rights how many minutes does it take being to run 2 miles swim 2 miles in bike eight

Answers

Answer: 30 mins + 30 mins + 20 Mins

= 80 Minutes

Help T-T I’m a bit stuck

Answers

Answer:

It is the 3rd option. If it doesn't have a line below it, the circle should be open. And where the arrow points is where your line should go if that makes sense.

Step-by-step explanation:

Leeza is 6 years older than two times her brother Sammy’s age. Let s represent Sammy’s age.

Which expression represents Leeza’s age?

a.6s + 2


b.2s


c.s + 6


d.2s + 6

Answers

✧・゚: *✧・゚:*hello there!*:・゚✧*:・゚✧

✧here is your answer:

.・゜゜・d. 2s + 6・゜゜・.

♥⛧i hope this helps!!

✧༺♥༻∞lmk if you need help on anything else!!∞༺♥༻✧

❀-kay♬

d.2s + 6.
Hope you have a nice dayyyyyyyyyy

An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line

Answers

Animals eat grass except for carnivals but they all live till they dies in a clan of the

Answer:

its on google

Step-by-step explanation:

kai is making 96 cupcakes for a schoolg event. how many more teaspoons of vanilla are needed to make all 96 cupcakes?

Answers

In order to answer this question, we need to know how many teaspoons of vanilla you need for each cupcake. Reply the teaspoon amount and I’ll be happy to help!

What are the two words that allow you to check your division problem backward?

Answers

Answer:

inverse operation

Step-by-step explanation:

Inverse means opposite. The opposite of division is multiplication. For example, if you divided 15 by 3, the answer is 5. If you multiply 5 by 3, the answer is 15. You know your answer is correct by checking it with the inverse operation.

Hope this helps!! Have a wonderful day :3

10x- 2y=16 and x+5y=-20
are perpendicular,parallel or neither

Answers

They are parallel that’s the answer
Parallel that’s the answer

Which one should I choose

Answers

Answer:

4th one please give me brainliest

Step-by-step explanation:

The last one is the answer if I am right...

Which value claims that 3.657 is a rational number

Answers

Step-by-step explanation:

It is rational because you can write it as 3 657/1000 which is a fraction. It also is not repeating with no pattern which also means it is rational.

WILL GIVE YOU BRAINLIST
Rafe's kiddie pool is shaped like a square with an area of 220ft^2 . What is the approximate side length of the pool? (Between which two whole numbers does it fall?)

Answers

Answer:

a≈14.83ft

Step-by-step explanation:

Rafe’s kiddie pool has a square with an area of 220ft to the power of two. With this equation, all we need to do is find the square root. After finding the square root, we get a≈ 14.83ft

Shelia has 6 rings in a bag. There are 2 gold rings, 3 silver rings, and 1 plastic ring. Without looking, she picks one ring out of the bag and places it on her table. She then picks a second ring from the bag. What is the probability that the first ring is gold and the second ring is gold?

Answers

Answer:

the probability is 1/6. the probability for gold is 2/6

Step-by-step explanation:

2 gold rings and 4 other rings

Answer:

the probability of the first ring will be gold cause it's the second most one  and your second probability will most likely be the silver because it has more than the other rings

Step-by-step explanation:

Other Questions
Which event described in chapter 2 of The Scarlet Letter occurs after the women of the crowd are introduced?1The women discuss their English birth and breeding.2The women discuss Hesters sentence.3The women demand that the letter be branded on Hester.4The women ask the reverend to say a prayer. In what year did the winter X games start requiring that all com Patores wear helmets 2011 2010 2009 2008 Which statement about residual plots is not true?A. If there is an obvious pattern, the model is probably reasonable.B. The vertical axis shows residuals.C. The x-axis appears in the middle of the graph.D. The sum of the residuals is 0. Think about the objects in your home. Which objects have been passed down from other family members? Why do they continue to have a place in your home? If you were to move away to live on your own, which objects in your home would you want to take with you? Explain why for each object selected. How would your parent/guardian feel about you taking each item? Explain your response.Please write in paragraph form. Do not forget to indent. Is nuclear fission exothermic or endothermic? Explain your answer. A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.How many years will it take for the group to have 290 members? If the group was formed in the year 2000, in what year would you expect the group to have 290 members? Select the correct answer.Identify the type of phrase in the sentence below.The box under the large rock is where I hid the key.A. adverbial phraseB. absolute phraseC. adjectival phraseD. noun phrase Using only one management style with all people is the most effective leadership technique for any organization. What can you infer about Sally Ann based on the passage below:This answer did not satisfy Susan and she often thought about it. To enter the mill, to stand quietly and look about, was the best kind of entertainment, for she was fascinated by the whir of the looms, by the nimble fingers of the weavers, and by the general air of efficiency. Admiringly she watched Sally Ann Hyatt, the tall capable weaver from Vermont. When the yarn on the beam was tangled or there was something wrong with the machinery, Elijah, the overseer, always called out to Sally Ann, "I'll tend your loom, if you'll look after this." Sally Ann never failed to locate the trouble or to untangle the yarn. Yet she was never made overseer, and this continued to puzzle Susan.A.Sally Ann was from Vermont.B.Sally Ann was entertaining to watch.C.Sally Ann was a weaver in the mill.D.Sally Ann knew more than the overseer. Describe the conflict between Galileo and the church: 20 POINTS PLEASE ANSWER ASAP!!!! Why is calcium (Ca) in group 2, period 4 on the periodic table? A Calcium, like all group 2 elements, is nonreactive and a gas at room temperature. B Calcium, like all period 4 elements, is nonreactive and a gas at room temperature, C Calcium, like all group 2 elements, is reactive and a solid at room temperature. D. Calcium, like all period 4 elements, is reactive and a solid at room temperature. in the water cycle water returns to earth as CONDENSATION usually in the form of rain or Snow true or false Write 2 things that might contribute to an accident for ayoung adult? Judicial Review against Congress is an example ofQuestion 1 options:FederalismChecks and BalancesStates' RightsSocial Contract A book with a mass of 1kg is dropped from a height of 3m . What is the potential energy of th book when it reaches the floor? A copyright protects a company that uses an original author's work without permission. (6 points)True False help plz!What were the hopes of African American settlement in the Oklahoma Territory? In contrast, what were the realities thatAfrican American's settling in Oklahoma Territory faced? Need help ASAP Which of the following best establishes a formal style?The penny is a nuisance and an unnecessary expense to the US Mint, and it should beSelect one:A. kicked to the curbB. tossed outC. gotten rid ofD. retired indefinitely PLZ HELP ME IM VERY CONFUSED! BRAINLIEST TO THE FISRT PERSON WITH WORK! AND 50 POINTS! AND ONLY ANSWER IF YOU HAVE AN ANSWER!!!!!!!!!!The Hamptons Family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute.Part A: Define the input and output in the given scenario.Part B: Write a function to model this situation.Part C: How many liters of water will be left in the tank after 10 minutes(hint: liters, not milliliters) what nervous system is damaged when a patient has an accident and becomes paralyzed