The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help

 The Area Of A Planned Garden Can Be Modeled By The Equation A= -4w2 + 64w,where W Is The Width Of The

Answers

Answer 1

Answer:

8 feet, 256 ft^2

Step-by-step explanation:

The function of the area can be graphically rapresented with a parabola that opens downwards

in this specific case the vertex is the maximum point of the parabola.

(X) Vertex = -64/-8 = 8 feet

(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2

Answer 2

Answer:

Maximum Width = 8 feet.

Maximum area = 256 ft^2.

Step-by-step explanation:

Part A.

A = -4w^2 + 64w

Finding the derivative:

dA/dw = -8w + 64 = 0  for maxm/minm, so

-8w  = -64

w = 8

The second derivative is -8 so w = 8 gives a maximum.

Part B.

The maximum area = -4(8)^2 + 64*8

= -256 + 512

= 256 ft^2.


Related Questions

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1.009, 1.09, 1.7, 1.7082

Step-by-step explanation:

hope this helped.

what is the area of the figure below?

Answers

Answer:

61

Step-by-step explanation:

please help i have no clue what i’m doing

Answers

Answer:

x = 24

x = 20

Step-by-step explanation:

x/3 - 2 = 6

Add 2 to both sides

x/3 = 8

multiply both sides by 3

x = 24

-----------------------------

x/5 +1 = 5

Subtract 1 from both sides

x/5 = 4

multiply both sides by 5

x = 20

Answer:

1. add two both sides and then multiply by 3 each side to get to the answer of 24.

Check: 24/3 = 8 - 2 = 6

2. x/5 + 1 = 5

subtract 1 from each side and then multiply by 4 on each side to get to the result of 20.

check: 20/5 is 4 + 1 = 5

Brainlist please :)

Help on this too Guys

Answers

Answer:

radius is 6 diameter is 2 don't know the other one tho

The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.

Answers

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t

Evaluate 10% of 5000

Answers

Answer:

500

Step-by-step explanation:

that is the procedure above

500 I hope this helps you 10% of 5000= 500

Answer plzzzzz and No links

Answers

Answer:

384 in^2

Step-by-step explanation:

Surface Area (or SA for short) formula:

SA=2lw+2lh+2hw

(l=length, w= width, h= height)

9*12=108*2=216

9*4=36*2=72

12*4=48*2=96

216+72+96=384

Answer:384 in^2

Hope this helps!

Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8

Answers

Answer:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Step-by-step explanation:

Given

[tex]x \to[/tex] element of natural number

[tex]x \to[/tex] multiple of 8

Required

Express in roster form

[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......

[tex]Natural[/tex] [tex]numbers[/tex]  that are multiples of 8 are 8, 16, 24, 32, 40, ......

So, the set in roster form is:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Green Red Blue Yellow

Event A: lands on yellow.
Event B: lands on green.
Events A and B are_______ events.​

Answers

Answer:

independent

Step-by-step explanation:

Answer:

Disjointed

disjointed events: events that have no outcomes in common

so that's why it is disjointed

Identify the diameter of the circle. Then find the circumference. Round to two decimal places. (C = 2*pi*r)

Answers

Answer:

diameter=22

circumference=22pi

Step-by-step explanation:

diameter=2*radius

so 2*11=22

circumference=2pi*r

=2*11*pi

=22pi

Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!

Answers

Answers:

[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]

=============================================

Explanation:

Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem

[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]

The vertical side is [tex]\sqrt{33}[/tex] units long.

------------------------------------

The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)

The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.

Divide the hypotenuse over opposite to get the cosecant.

[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]

Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.

------------------------------------

Recall that sine is the reciprocal of cosecant, and vice versa.

So we'll use the same idea as before, but flip the original fraction.

[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]

The denominator is already a rational number, so there's not much else to do here.

--------------------------------------

Cotangent is the ratio of adjacent over opposite

[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]

The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).

Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

what is the correct measure of m? 15, 5, n, m

Answers

Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

if 5x-26=x+50, then what is the value of x

Answers

Answer:

x = 19

Step-by-step explanation:

5x - 26 = x + 50

Subtract x on both sides of the equation.

4x - 26 = 50

Add 26 on both sides.

4x = 76

Now, divide by 4 on both sides.

x = 19

Answer:

x = 19

Step-by-step explanation:

5x-26=x+50

5x = 76 +x

4x = 76

x = 19

Rotate triangle P 90° clockwise about the point (2, -1).

Answers

Answer:

Step-by-step explanation:

If we are rotating about the point (2,-1) , then we first need to translate the triangle two points to the left so that point P is at location (2,-1). Once we have that we rotate everything 90 degrees clockwise, while maintaining the same distance and angles between each point in the triangle. After doing this we will get the triangle seen in the attached picture below. Which is fully rotated 90 degrees clockwise about the point (2,-1)

Hi can someone please help me with this thanks

Answers

Answer: 18

Does this help??

Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.

a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?

b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?

Answers

Answer:

Es ydjwj rjsbt djeiweke

Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart

Answers

Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

Tanya has 130 ml of juice

Answers

Answer:

The answer is below

Step-by-step explanation:

A drink is made by adding water to juice.

Instructions

Add an amount of water that is between 3 times and 5 times the amount of juice

Tanya has 130 ml of juice.

If she follows the instructions, work out the minimum and maximum amounts

of the drink she can make.

Solution:

The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:

Minimum amount of water = 3 * 130 ml of juice = 390 ml of water

Therefore minimum amount of drink = 390 ml of water + 130 ml of juice

minimum amount of drink = 520 ml

The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:

Maximum amount of water = 5 * 130 ml of juice = 650 ml of water

Therefore maximum amount of drink = 650 ml of water + 130 ml of juice

Maximum amount of drink = 780 ml

Divide. (ASAP PLEASE)
[tex]30 )869[/tex]

Enter the number that belongs in the green box.

Answers

Answer:

0.034522 (for decimal)

Step-by-step explanation:



Bryon is solving the equation 22 - 6x = 15. He gets to 7 = 62. Is this a valid way to solve the equation?

Answers

Answer:

No

Step-by-step explanation:

22 - 6x = 15

subtract 22 from both sides

-6x = -7

divide both sides by -6

x = 7/6 or 1 1/6

Which expression is equivalent to 44+100 as the product of GCF and sum?

A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)

*explain how you got the answer!*

Answers

Answer:

C.

Step-by-step explanation:

First you solve the bracket...

(22+50)= 72

72×2=144

Answer:

the answer is D because it has to greatest factor

A (5(8+20)=40+100

B (4(40+96)=160+384

C (2(22+50)=44+100

D (4(11+25)=44+100

Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise?

Answers

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

Calculate the volume of this planter box in cubic centimeters.


If there are four of these planter boxes, would they fit in a 1 square meter area near the back

door? Show calculations to explain your answer.


(Pictures Attached)

Answers

Answer:

V=786,240cm³

Step-by-step explanation:

Volume=Length × base × height

v= 52cm×42cm×360cm

Assume that AABC= APQR. Which of the following congruence statements
are correct? Check all that apply.
U
A. ACS PQ
B. ZREZC
C. BC = PQ
D. ZB=
U
E. BC = QR
O F. ZA= 20

Answers

Answer:

Options B, D, E

Step-by-step explanation:

If triangle ABC and triangle PQR are congruent,

∠A ≅ ∠P

∠B ≅ ∠Q

∠C ≅ ∠R

AB ≅ PQ

BC ≅ QR

AC ≅ PR

Therefore, Options B, D, E are the correct options.

What is the value of f(1)?
A. 0
B. 1
C. 2
D. 4

Answers

Answer:

The value of f(1) is A. 0

Step-by-step explanation:

In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0

What is the value of f(1)
The answer is A. 0

please help me I will mark as a brainliest ​

Answers

Answer:

think that this might help you

draw the graph of the equation 3x-4y=12 from the graph find the value of y when x= 8​

Answers

Answer:

y = 3

Step-by-step explanation:

3x - 4y = 12

3(8) - 4y = 12

24 - 4y = 12

- 4y + 24 = 12

- 4y + 24 - 24 = 12 - 24

- 4y = - 12

- 4y ÷ - 4 = - 12 ÷ - 4

y = 3

Slope: [tex]\frac{3}{4}[/tex]

y - intercept: (0, - 3)

5
8
y
Find the exact value of y.
y =

Answers

Answer:

[tex]y=2\sqrt{10}[/tex]

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

[tex]\frac{AD}{DB}=\frac{DB}{CD}[/tex]

By substituting values in the given ratio,

[tex]\frac{5}{y}= \frac{y}{8}[/tex]

[tex]y^2=8\times 5[/tex]

[tex]y^2=40[/tex]

[tex]y=2\sqrt{10}[/tex]

Exact value of y is [tex]2\sqrt{10}[/tex].

n3=8/125 for n n= ???

Answers

Answer:

2/25

Step-by-step explanation:

[tex]n^3 = \frac{8}{125}[/tex]

[tex]n^3 = (\frac{2}{5})^3[/tex]

[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \frac{2}{25}[/tex]

Other Questions
What are impacts of urbanization on land use in Ghana? Hydrogen carried in light phase Solve for n.56 = -4nA: 224B: -14C: 60D: -4 describe how the graph of each function is related to the graph of f(x)=x^2 g(x)= -10 + x^2 A sign has 3 identical parallelogram-shaped stripes as shown. Charles mustoutline each stripe with reflective tape. Is one roll of 86 inches of tape enough tofinish the job? Explain. how did the bill and melinda gates foundation helped with climate change ? Find the measure of a central angle of a regular polygon with 10 sides. Round your answer to the nearest tenth of a degree, if necessary. Amino acids buildA. proteinsB. monomersC. nucleic acids Find the perimeter of this problem Which option identifies the next step Kristin should take to test the design in the following scenario?During the design process, Kristin determined that her new automatic-loading pencil sharpener is ready to be tested. She is still concerned that there may need to be some changes before the prototype is created.She should create a prototype that is flexible enough to make changes to if needed.She should create a two-dimensional sketch to ensure she has not missed any information.She should make any changes she feels are necessary before designing a model.She should create a model using cutting-edge technology programs. 100 Points! Think of a problem in society that could use data to help solve it. Answer the following questions in at least 1 paragraph (5-7 sentences).What is the problem?What data would you need to collect in order to gather more information to help solve this problem? How would you collect this data?How would the use of a computer help to solve this problem ? (make sure you explain in depth here). If chris measured the length of a line segment and rounded his answer to the nearest centimetre and get 6cm what is the accurate statement about the actual meausure be help urgent pleasethe graphs below have the same shape. what is the equation of the blue graph?no links please Under the translation (X +3, y - 1) the point (3,4) will become (0.5)True or False Which of the following best describesFrancisco Franco's view of government inSpain in the 1930s?A. Franco believed in capitalism.B. Franco believed in communism.C. Franco believed in democracy.D. Franco believed in fascism. Write a python program that will accept monthly salary amounts greater than zero but lessthan or equal to 400,000.00 until the user enters the character e. After the userenters the character e, calculate the net pay of all salaries by deducting income tax ata rate of 25%, pension of 5% and housing contribution of 2% from each salaryentered. Additionally, print the number of salaries that were entered in the programalong with the number of salaries that exceed 300,000.00 How Hedy Lamarr Invented Early Wireless TechnologyUnhappy being pigeonholed due to her looks, the most beautiful woman in the world" set out to develop a secret communication system that would take down Nazi submarines. A lonely immigrant from Austria slips out of her stage clothes and kicks off her heels. Carefully removing her movie makeup, she's dissatisfied that she's been overlooked for more significant roles. Instead of throwing a pity party, however, she heads determinedly for her drafting table, a place where she has previously invented an improved traffic stoplight. This is where she'll prove to the world that she's more than a pretty face. This is the real-life story of Hedy Lamarr, Hollywood actress turned tech hero. An inventor whose contributions helped develop a system used in Bluetooth, GPS and Wi-Fi.She had a knack for designing problem-solving technologies. Transforming the drawing room in her house into an innovation studio with a drafting table and the necessary tools Lamarr invented an aid to help people with limited mobility get in and out of the bath. She also invented a fluorescent dog collar and a bouillon cube* that would dissolve to turn water into soda. Her best-known success was a passion project that still has applications today. The secret communication system" she developed with composer George Antheil, a neighbor and friend, was the precursor to today's top wireless technologies. Together, they developed a radio communication system based on the 88 piano keys. It was a success, and the duo received a patent for their work in 1942. Unfortunately, the U.S. Navy ignored their technological feat for another 20 years. Late, the system became the precursor to modern wireless technologies. Their work remained unrecognized until 1997, when the Electronic Frontier Foundation acknowledged Lamarr and Antheil. When Lamarr heard the EFF was giving her an award, her first words were, 'Well, it's about time.' Glossary: *bouillon cube- A cube of evaporated seasoned meat extract1-1: Based on the passage, which of these is most likely to be true about Hedy?(1 Point)A. Her favourite pastime was to design inventions.B. She never received recognition for her inventions.C. She had secretly worked for the American government.D. Her inventions were made only through her own efforts.2.The 'secret communication system', developed by Hedy and George was______________.(1 Point)A. a project Hedy was paid to doB. immediately put into use by the militaryC. outdated within twenty years of its discoveryD. a forerunner of today's communication systems3.Which of these is mentioned in the passage?(1 Point)A. how the 'secret communication system' worksB. whether the war effort was successful or notC. which movies Hedy has acted inD. where Hedy was originally from4.Well,it's about time. This line means that _________________(1 Point)A. it was too soon to receive the awardB. the award should have been given long agoC. the award had been given for her first inventionD. it was not the most important award in her lifetime5.One of the reasons why Hedy became an inventor was because ______________.(1 Point)A. she was not happy with her looksB. she wanted to contribute to the warC. she wanted to show that she had other talentsD. she was not passionate about her acting career6.Which of these could be a suitable title for the passage?Immersive Reader(1 Point)A. The Real War HeroineB. Hollywoods Star innovatorC. The Prettiest American ActressD. Scientist From the Music World A car manufacturing company produces blue and black cars only. If 54% of 85658 totalproduction is blue cars, how many black cars are there? Read the excerpt from the play The Diary of Anne Frank. MR. FRANK There's something more. Go on. Look further. (He goes over to the sink, pouring a glass of milk from a thermos bottle.) ANNE (Pulling out a pasteboard-bound book) A diary! (She throws her arms around her father.) I've never had a diary. And I've always longed for one. Which is one content difference between the play and the The Diary of a Young Girl? PLEASE HELP! I ALREADY HAVE A BAD GRADE IN THIS CLASS!!Complete the following sentence.A turf management professional seeking advancement may choose to get certification through a____________-_____________ program offered by a university as part of its continuing education options.