Shenelle has 100100100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by: A(x )= -(x-25)^2 + 625

Answers

Answer 1

Answer:

25metres

Step-by-step explanation:

Complete question

Shenelle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by: A(x )= -(x-25)² + 625

What width will produce the maximum garden area?

At maximum area of the garden dA/dx = 0

dA/dx = -2(x-25)

0 =-2(x-25)

-2(x-25) = 0

x - 25 =0

x = 0+25

x = 25

Hence the width that will produce the maximum garden area is 25metres

Answer 2

Answer:

625  square meters

Step-by-step explanation:

The garden's area is modeled by a quadratic function, whose graph is a parabola.

The maximum area is reached at the vertex.  

So in order to find the maximum area, we need to find the vertex's y-coordinate.  

The function A(x)  is given in vertex form.

The vertex of -(x-25)^2+625 is at (25,625)  

In conclusion, the maximum garden area is 625square meters.

correct on khan academy


Related Questions

Find the value of x!?!??!!

Answers

Answer:

Step-by-step explanation:

70+85+150+x=360 degree(sum of 4 angles is always 360 degree)

305+x=360

x=360-305

x=55 degree

Answer:

85+1 50+70+x=360{ sum of interior angels of of quadrilateral}

305+x=360

x=360-305

x=55degree

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! NO SCAM LINKS !!!!!!!!!!!!!!!!!!

Answers

Answer:

68.

Step-by-step explanation:

We have adjacent and hypotenuse given.

So, cosФ= adj/hpt

cos inverse=3/8

Ф=67.97=68.

help please!
figure out the "inflection point" of the following function
f(x)=5x³ + 2x² − 3x​

Answers

Answer:

x = -2/15.

Step-by-step explanation:

Finding the second derivative:

f'(x) = 15x^2 +4x - 3

f"(x) = 30x + 4

30x + 4 = 0   for a point of inflection

x = -4/30 =  -2/15

So 30x + 4 is negative up to x =  -2/15 and positive thereafter.

So the curve passes from concave downward to concave upward at x = -2/15.

Answer:

[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]

Step-by-step explanation:

to figure out the infection point

take derivative both sides:

[tex] \displaystyle f'(x) = \frac{d}{dx} {5x}^{3} + 2 {x}^{2} - 3x[/tex]

By sum derivation rule we acquire:

[tex] \displaystyle \rm f'(x) = \frac{d}{dx} {5x}^{3} + \frac{d}{dx} 2 {x}^{2} - \frac{d}{dx} 3x[/tex]

apply exponent derivation rule which yields:

[tex] \displaystyle f'(x) = {15x}^{2} + 4{x}^{} - 3[/tex]

take derivative in both sides once again which yields:

[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - \frac{d}{dx} 3[/tex]

remember that, derivative of a constant is always 0 so,

[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - 0[/tex]

by exponent derivation rule we acquire:

[tex] \rm\displaystyle f''(x) = {30x} + 4{}^{} [/tex]

substitute f''(x) to 0 figure out the x coordinate of the inflection point:

[tex] \rm\displaystyle {30x} + 4{}^{} = 0[/tex]

cancel 4 from both sides:

[tex] \rm\displaystyle {30x} = - 4[/tex]

divide both sides by 30:

[tex] \rm\displaystyle {x} = - \frac{2}{15} [/tex]

now plugin the value of x to the given function to figure out the y coordinate of the inflection point:

[tex] \rm \displaystyle f(x) = {5 \left( - \frac{2}{15} \right) }^{3} + 2 {\left( - \frac{2}{15} \right) }^{2} - 3 \left( - \frac{2}{15} \right)[/tex]

By simplifying we acquire:

[tex] \displaystyle f(x) = \frac{286}{675} [/tex]

hence,

the coordinates of inflection point are

[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]

what is the slope of the line represented by the equation
y= -1/2x +1/4?

a.-1/2
b.-1/4
c.1/4
d.1/2

Answers

Answer:

a). -1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

From the equation of a line, y = mx + c where m is the slope.

I will give brainliest for correct answer!

Answers

Answer:

you forgot the question

Step-by-step explanation:

Answer:

where is the question? we need the question lol

What does D equal in 3D = 96

Answers

D equals 32. 96/3 is equal to 32

I need help with this please!

Answers

Answer:

"Certain" Maby I dont know

How do I find the surface area of a cylinder?

Answers

Answer:

SA = 2πr² + 2πrh

Step-by-step explanation:

2πr² will provide the surface area of the top and bottom of the cylinder

2πrh will provide the surface area of the cylinder portion that connects the top and bottom

Use the formula above ahdiwndodn

The least common denominator is 12. Rewrite the fractions 1 2/3, 1 1/2, 1 1/4 1 7/12 using this denominator.

Answers

Step-by-step explanation:

1 2/3, 1 1/2, 1 1/4 1 7/12 =>

1 8/12 , 1 6/12, 1 3/12, 1 7/12

540 rounded by the nearest tenth

Answers

Answer: 540

Step-by-step explanation: You get 540 when you round to the tenth place because it's already rounded.

what is the theoretical probability ?

Answers

Answer:

Theoretical probability is probability that is determined on the basis of reasoning. Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times.

Step-by-step explanation:

A cone has a radius that is 12 inches and a height of 21 inches.
21 inches
12 inches
What is the approximate volume of the cone?
F 9,495 in.
G 264 in.
H 3,165 in.
1,809 in.

Answers

Answer: A

Step-by-step explanation: Because 32=23=12321=33+23123

the cost of toilet paper is 9.99 for 9 rolls, what is the price per roll of toilet paper?​

Answers

Answer:

$1.11

Step-by-step explanation:

Find the price per roll by dividing the cost by the number of rolls:

9.99/9

= 1.11

So, the price per roll of toilet paper is $1.11

the price per roll is $0.89

Find the value of X please help

Answers

Answer:

x = 119°

Step-by-step explanation:

The angle between chord KJ and chord LM is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (75 + 47)° = 0.5 × 122° = 61°

This angle and x are adjacent angles and sum to 180° , then

x = 180° - 61° = 119°

help meeeeeeeeeeessss​

Answers

Answer:

I think its c but just so you know I'm not really smart so I might be wrong

Round your answer to the nearest hundredth.

Answers

Answer:

26

Step-by-step explanation:

26

how do you calculate the area of a triangle without the height and all different side lengths? sorry for blurry photo

Answers

Answer:

Add those 3 numbers together, it's been awhile since I've done this but you have all 3 numbers so now you add them together

Dr Leonard Bernstein owner of software solving inc determines that he must mark up the software he sell to clients by 60% of selling price. Leonard's costs for a project with the local bank will total $1200000. What selling price should Leonard put in the contract with the bank

Answers

Answer:

The right solution is "$1,920,000".

Step-by-step explanation:

Given:

Project cost,

= $1200000

Dr. Leonard sells by

= 60%,

The mark up value will be:

= [tex]\frac{1200000\times 60}{100}[/tex]

= [tex]720,000[/tex] ($)

hence,

The selling price he should put with the bank will be:

= [tex]Project \ cost+Mark \ up \ value[/tex]

= [tex]1200000+720000[/tex]

= [tex]1,920,000[/tex] ($)

Two parallel plates of area 0.155 m2
are separated by 0.00100 m. What
is their capacitance?

Answers

Answer:

1.37 x 10^-9 F

Step-by-step explanation:

(8.85 x 10^-12) * (0.155) = 1.37 E -12

1.37 E -12 / 0.00100 = 1.37 x 10^-9

WILL MARK BRAINLYIST IF RIGHT!!I don’t know how to do this

Answers

Answer:

i would just round 0.50 to the nearest tenth

Step-by-step explanation:

if a triangle has a 50 degree angle and a 60 degree angle, how many degrees is the third angle?

Answers

Answer:

70

Step-by-step explanation:

has to add up to 180 bro.

I KNOW this will help.

Answer:

70

Step-by-step explanation:

The interior angles of a triangle always add up to 180°

What is the answer for X-5(x-1)=x(2x-3) ?

Answers

Answer:

1 2/3

Step-by-step explanation:

x-5x+5=2x-3x

-4x+5= -1x

5=3x

5/3=x

1 2/3=x

The first answer is x = -1.85078 and the second answer is x = 1.35078. There are two solutions.

100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!

On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.

(a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.

(b) Calculate the area of the red triangle to find the area of the garden. Show your work.

(C) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?

Part B: The second link is for this part!!!!

(d) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.

(e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.

Answers

Answer:

a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse

90^2 + 120^2 = c^2

8100 + 14400 = c^2

22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2

sq rt 22500 = c

150 = c

so side a = 90 ft, side b = 120 ft, and side c = 150 ft

this is called the pythagorean theorem and it only works on right triangles

Step-by-step explanation:

done sorry if im wrong

There were 64 runners in the St Patrick's day race. If there were 20 more girls than boys how many were girls and how many were boys

Answers

Answer:

42 girls 22 boys

Step-by-step explanation:

subtract 64 from 20

need help with this question​

Answers

Now if the lemonade is 1.50 he can only buy two because the total amount is 8.30 so it will be 3.00 and the amount left will be 5.00 and you can only buy one cupcake so you will buy two lemonades one cupcake

Answer:

3

Step-by-step explanation:

You spend $8.30 total. Subtract the $5 for the cupcakes, and you're left with $3.30 to spend on lemonade.

Since you bought the dozen cupcakes, you get the lower price for the lemonade. Lemonade was $1.25, but subtract $0.15 and it's now $1.10/quart

3.30 divided by 1.10 = 3

I really need help with these two! If anyone can help tysm!

Answers

Answer:

1) 90 < x < 110

2) 2 < x < 12

Step-by-step explanation:

By the triangle inequality, the sum of the lengths of the shorter two sides of any triangle must be greater than the length of the longest side.

In the first example, this implies that x must be strictly between 90 and 110, and in the second example, x must be strictly between 2 and 12.

Hope this answers your question.

HELP ASAP PLEASEEEEEEE

Answers

it is on the x axis.

The ration of two supplementary angles are 1:3 what is the measure of the smaller angle?​

Answers

Answer:

45°

Step-by-step explanation:

Let :-

The ratio be 1x : 3x

We know :-

The sum of supplementary angles is 180° .

On adding :-

→ x + 3x = 180°

→ 4x = 180°

→ x = 180°/4

x = 45°

Hence the smaller angle is 45° .

Each table in a classroom is 100cm long and 50cm wide. what is the area of each table? there are 16 tables in the classroom. what is the total area of the tables in the classroom in square meters?

Answers

Answer:

A

Step-by-step explanation:

can someone please help

Answers

-18x

you first times the numbers, which becomes -18

Next you add the exponent from the veriables (x) (if you're diving you're subtractiong example: x^a/x^b = x^a-b)

Sooo when you add them you get 8-7=1 which means.. x^1 (but you don't need to put the 1)

-18x

Answer: Select the first one

Step-by-step explanation:

-6 multiplied 3 is -18

AND they both have power x which means  -6x⁸   multiply 3x ⁻⁷

                                                         =  -18 x⁸ ⁺⁽⁻⁷ ⁾(As the have same variable )

                                                         =  -18 x⁸⁻⁷

                                                           =-18 x

Other Questions
Read this excerpt from The Medicine Bag.I sent your mother and sister away. What you will hear today is only for a mans ears. What you will receive is only for a mans hands. He fell silent and I felt shivers down my back.Which conclusion can be drawn from Grandpas dialogue in this excerpt?Grandpa does not trust Martins mom and sister.Martins anticipation of owning the medicine bag pleases Grandpa.Grandpas culture has strict rules about gender roles. Martin is not old enough to carry on his ancestors traditions. Carmen compro 5 blusas y 4faldas por 300 Gaby adquiri 2 blusas y 6 faldas por 230cual es el precio de cada blusa y de cada falda? Please help me and show work please One thing you really notice is the complex, feathery, knotty structure of the gas and dust in our galaxy. If you look around, you can see a couple more objects that might be good candidates for being other galaxies with their own star-forming regions. What are these objects called Log(10) u = 3/2 log(10) 4 Tecumseh seeks an alliance (work together) with the Choctaws and ChickasawsbecauseA. He wishes to become the sole leader of all American Indian tribesB. His own tribe, the Shawnees, have dederted him and have allied with the BritishC. He knows that the Choctaws and Chickasaws have been wronged by the AmericansD. He believes that no American Indian tribe is strong enough to confront theAmericans aloneara (choose The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the face value of a 10-year term insurance policy on a 24-year-old male given that the annual premium for the insurance policy is $359.25. If need be, round your answer to the nearest cent.A 5-column table with 6 rows titled Term Insurance. Column 1 is labeled Age with entries 20, 21, 22, 23, 24, 25. Column 2 is labeled 5-year term male (dollars) with entries 2.43, 2.49, 2.55, 2.62, 2.69, 2.77. Column 3 is labeled 5-year term female (dollars) with entries 2.07, 2.15, 2.22, 2.30, 2.37, 2.45. Column 4 is labeled 10-year term male (dollars) with entries 4.49, 4.57, 4.64, 4.70, 4.79, 4.85. Column 5 is labeled 10-year term female (dollars) with entries 4.20, 4.29, 4.36, 4.42, 4.47, 4.51.a.$75,000c.$80,369.13b.$79,656.32d.$76,436.17Please select the best answer from the choices providedABCD Which ordered pair is a solution to the system of inequalities?< 3y< 5A. (1,3)B. (9,4)C. (4,10)D. (-12,50) How is the content of 1 John outlined? PLEASE HELP ME TO ANSWER THOSE QUESTION! DOWN BELOW! You've learned about the skills-related and health-related components of fitness inthis lesson. Training for skills-related components gives you a competitive edgewhen you participate in athletic competitions. Training for health-relatedcomponents allows you to enjoy daily activities comfortably and safely and to live ahealthier, more active life.Remember Sam from the beginning of this lesson? Sam is determined to stay strongand healthy throughout his life. He does yoga for flexibility and lifts weights forstrength. But Sam wonders if he is getting all the health benefits he could fromexercise.QUESTION:Is Sam getting the best health benefits he can from his fitness plan? What should hedo differently? What activities should he consider adding? Should he replace any ofhis current activities?maraton fitness nlan for overall pood health? Yuri decided to delay his road trip after hearing a weather forecaster warn that a severe snowstorm would pass through the area within several hours. Yuri's decision best illustrates the impact of 447.593 + (9.247 x 66.6) + (3.098 x 161) - (4.330 x 14) HELP!!! PLZZ I WILL MARK YOU AS THE BRAINLIEST ANSWER !!!Which cell organelle stores water and other materials? A. ribosome B. vacuole C. mitochondrion D. Golgi complex 5Select the correct answer from each drop-down menu.d6030DThe product of sin 30 and sin 60 is same as the product ofvand Need help ASAP !!! And show work please PLEASE I REALLY NEED HELPPP NOW!!! What are the implications of his request for Cuba, the UnitedStates, the Soviet Union, and the world? When would you need to add more facts and details to an oral report? Select all that apply1. When you dont have enough evidence to support a main idea2. When you dont have enough main ideas3. When your speech is too short cos(3x)=Sqaure roote 2 / 2 PUT INTO PASSIVE VOICE1. Mary looked after her baby brother.2. The police will catch the thief.3. Sharon will invite us to her party next Friday,4. They built this castle 400 years ago.5. I'm going to write a letter.6. Somebody broke into his house.7 They could see the fire far away.8. The terrible noise woke us up.9. They destroyed the town during the war.10. They make cheese and butter from milk.11. You will lose your ring if you aren't careful.12. She hasn't done her homework yet.13. We can send her a big birthday present.14. They may invite us.15. The barkeeper shook the drinks.16. We haven't found the correct answer yet.17 Mr Smith allowed the children to play in the garden.18. Mother won't cook lunch today.19. They are painting the house.20. I must iron my blouse.21. The pupils should not eat the sandwiches during the lessons.22. We must import bananas and oranges.23. We could see the smoke far away.24. Tom keeps his room very tidy.25. He has already made some sandwiches.26. A terrible noise in the street woke us up.27. They were repairing the old road in the last holidays.28. They empty the dustbins every second Thursday.29. They haven't cut down the old oak tree yet.30. I was angry because someone had sent the parcel to the wrong address.31. Our neighbour's dog bit the postman.32. They are going to sell their house in the mountains.33. The bully punched Fred's nose.34. He is repairing and painting the old garden fence.35. We must make the beds before the guests come.36. Simon gave me a book for my birthday.37. In England pupils must wear school uniforms.38. Father didn't prepare lunch yesterday.39. In winter we will eat lots of fruit because of the vitamins.