Tony is installing a rectangular pool in the backyard. The pool
needs to have a length of 10 feet more than the width. The
backyard is a square shape with each of the sides measuring 5
feet more than 3 times the width of the pool. Write an
expression for the area surrounding the pool after the pool is
installed. Show your work. Enter the correct expression and
work in the box.
Pls I need helppppppp

Answers

Answer 1

Answer:

Abackyard = (3w + 5)2

Apool = w(w + 10)

Asurround = (3w + 5)2 - w(w + 10)

A=8w2+20w+25

Answer 2

The expression for the area surrounding the pool after the pool is

installed is  (3w + 5)² - w(w + 10).

What is Area?

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.

We have,

The pool needs to have a length of 10 feet more than the width.

Then, the area of pool is

= w(w + 10)

and, The backyard have sides measuring 5 feet more than 3 times the width of the pool.

Then, area of backyard

= (3w + 5)²

Now, the area surrounding the pool after the pool is

=  (3w + 5)² - w(w + 10)

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Related Questions


Does each of the following result in
X^2– 100?
A (x-90) + (x - 10)
B (x - 9)^2 – 19
C x(x – 100)
D (x + 10)(x - 10)

Answers

Answer :
D - (x+10)(x-10)


Solution:
x^2 -100
= x^2 - 10^2
= (x+10)(x-10) { a^2 -b^2 = (a+b)(a-b)

Item 3
The length of a field measures 3.5 miles.

What does the length of the field measure in feet?


13,200 ft

15,840 ft

18,480 ft

21,120 ft

Answers

Answer:

The answer is 18,480

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Hello There!

so

y = -5x^2 + 8x +4

where y = height of ball and x = seconds after ball was thrown

The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at

~TheMathWiz

Answer:

It is C

Step-by-step explanation:

Please answer both it will really help

Answers

7. None of the answers r correct (its 6, btw)
8. Addition and subtraction signs is the best answer choice, im not sure what the bottom one says

Hope this helps!

I commented on one of ur other problems haha, u just replied, good luck tho!!

Jazzy has put $375 into her saving account. To do this she made 15 deposits of the amount. Let m represent the amount of money deposit each time Using the variables defined above, write an equation that describe the situation above

Answers

Answer:

Jazzy did 15 deposits of $25

Step-by-step explanation:

We know that Jazzy has deposited $375 in 15 deposits of m.

Then we must have that 15 times m is equal to $375, this can be written as:

15*m = $375

Now we can solve this for m, if we divide both sides by 15 we get:

(15*m)/15 = $375/15

m*(15/15) = $375/15

m = $375/15 = $25

Tjos ,eams tjat Jazzy did 15 deposits of $25.

a stadium shaped like a hemisphere with a radius of 150 feet. last month the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. what was the total cost for utilities last month​

Answers

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250

Help!! X= what!? Any idea

Answers

Answer:

X= 0 and -4

Step-by-step explanation:

A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.

Answers

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers

Answers

Where the historagram

Answer:

12

Step-by-step explanation:

I took the k12 test and 12 was correct, all though these test may look the same but numbers and questions are asked just alike but different so this answer might not work for you, hope this helps!

can someone fill this for me?

Answers

Answer:

6.2 by the power of 0 pulse 3

Step-by-step explanation:

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would there be on day 5

Answers

Answer:

day 1- 1 head

day 2- 1x2= 2 heads

day 3- 2x2= 4 heads

day 4- 4x2= 8 heads

day 5- 8x2= 16 heads

PLEASE HELP QUICK ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!​

Answers

Answer: 5 x 2 1/2 x 1 1/2

Step-by-step explanation: To figure it out you have to use the fromula for volume, V= W x L x H.

Hope that helps :)

lol, I'm just kinda slow.

Answers

Answer:

understandable

Step-by-step explanation:

What is the surface area of a storage box that measures 17 centimeters by 14 centimeters by 12
centimeters?
The area of the storage box is
square centimeters.

Answers

Answer:

1220cm²

Step-by-step explanation:

Given :

Lenght, l = 17 cm

Width, w = 14 cm

Height, h = 12 cm

Surface area = 2(lw + lh + wh)

Surface area = 2[(17*14) + (17*12) * (14*12)]

Surface area = 2(238 + 204 + 168)

Surface area = 2(610)

Surface area = 1220cm²

The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:


Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

I need help with another question plsss i’m on question 6 & i need help w my next one :((

Answers

X°= 89°

X is parallel to the other side so it would be equivalent to the same thing as  the top number

Answer:

x=89 grades or 99 grades.

helppppppppppppppp plsssssssssssssssss

Answers

Lol the answer is 41

Answer: 41, think of PEMDAS while reviewing. Good luck!

Step-by-step explanation:

80 + 6(-5) + (-9)

80 + (-30) + (-9)

80 + (-39)

= 41

Would the answer be 550.25?

Answers

Answer:

44

Step-by-step explanation:

she set aside $44 for vacation

pls brainliest btw

PLEASEEEE HELP ASAP ❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️


Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
She looks up printing costs for other paperback books and plots the number of pages (x)
against the cost (y) in dollars.
Answer the questions to estimate the cost of printing a 300-page paperback book.

1. What is the y-intercept for the trend line? What is the real-world meaning of this point?


2. One point on the trend line is (200,6). Using this point in the Y intercept, find the slope of the trend line. Show your work.

3. What is the real-world meaning of the slope?

4. Use the slope and y-intercept to write an equation for the trend line in the slope-intercept form.

5. Use your equation to estimate the cost of printing Sarah’s 300-page book



Answers

Answer:

1. Y-intercept b=5

That means it has a 5.00 starting fee.

2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.

Point one (X1 and Y1) will be the Y-intercept.

X1,Y1 = (0, 5.00)

Point 2 (X2 and Y2) will be the point on the trend line.

X2, Y2 = (200, 6.00)

Plug in:

(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.

3. When printing 200 pages each page will cost $.005.

4. .005x+5

5. .005x+5

.005(300)+5=6.5

good luck♡♡!!

Step-by-step explanation:

The estimated cost of printing Sarah's 300-page book is $6.50.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.

The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.

We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:

slope = (6 - 5) / (200 - 0) = 0.005 or 1/200

The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.

In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.

Using the slope-intercept form, the equation for the trend line is:

y = mx + b

where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:

y = 0.005x + 5

To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:

y = 0.005(300) + 5 = 6.5

So, the estimated cost of printing Sarah's 300-page book is $6.50.

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What is the slope of the line through the points (-4, 2) and (-16, -6)? ​

Answers

Answer:

m=2/3

Step-by-step explanation:

. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based on a random sample of 10 balls you find a standard deviation of 3.2 mm. Does the sample suggest the standard deviation is higher than that claimed by the manufacturer?

Answers

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

HELP ME!!!!!!!!!!! ANSWER 6-10

Answers

Answer:

LOOK BELOW!

Step-by-step explanation:

6#

6.  (-3, 0)

7. (-1, -2)

8. (-5, -3)

9.  (1, -1)

10.  (1, -2)

how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)

[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

6. (-3,0)

7. (-1,-2)

8. (-5,-3)

9. (1,-1)

10. (1,-2)

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

g[ x]=x^2-8x-20
is it 2 solutions
1 solution or 2 imaginary solutions

Answers

2 solutions

Step-by-step explanation: Discriminant D = √(-8²-4·1·(-20) =√(144)

Because D> 0, there are 2 roots

f(x) =5x+8, g(x) = 2^2-1

Answers

Answer:

Step-by-step explanation:

f(g(x) ) =  5(g(x)) +8

=5(3)+8

=15+8

=23

g( f(x) ) = 3(f(x))

=3(5x+8)

=15x +24

:)

Which point is located at (4, -3)? will give brainliest


A) A

B) B

C) C

D) none of these

Answers

Answer:

d

Step-by-step explanation:

because if u look at 4 on the right there is no dot there or below it

Answer:

D

Step-by-step explanation:

None of these

HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS


for number 4 because it has select, the select are


first one under C) 66, 64, 67, 65

under B) 24, 23, 26, 25

under A) 15, 16, 17, 18

lowest under C) 40, 41, 42, 39

.

.

.

.

.

.

.

.

..

also this one: Which of the following represents a Pythagorean Triple?

Group of answer choices


{21, 72, 75}


{11, 45, 60}


{5, 7, 10}


{10, 20, 30}

Answers

Answer:

I think the answer is {10,20,30} but please check it

Answer:

I only know the first one for right now and the answer is 17

Step-by-step explanation:

You got to find the value of x in the figure

To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2

x^2=64+225

x^2=289

Then it's x= 289 like this

[tex] \sqrt{289} [/tex]

Which gives you the answer 17

Let me know if this helps

Mai drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 296 miles?

Answers

Answer:

11.1

Step-by-step explanation:

320/ 12 = 26 2/3

296 / (26 2/3) = 11.1

Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales

Answers

Responder:

Los cuadros 89 y 91 presentan proporcionalidad directa

El cuadro 90 muestra una correlación directa.

Explicación paso a paso:

De la imagen adjunta:

Cuadro 89:

Para mostrar proporcionalidad directa:

y α x

y = kx; k = constante de proporcionalidad

Comprobando las tablas:

Cuadro 89:

A = 1,5; B = 3

B = kA; 3 = 1.5k

k = B / A

k = 3 / 1,5 = 2

Usando k = 2;

demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.

B = 2 * 2 = 4

Por tanto, el cuadro 89 exhibe proporcionalidad directa

Comprobando las tablas:

Cuadro 90:

C = 2; D = 8

D = kC; 8 = 2k

k = 8/2 = 4

Usando k = 4;

demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.

B

D = 4 * 3 = 12

De la tabla, D = 9;

Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.

Comprobando las tablas:

Cuadro 91:

E = 1; F = 1/2

F = kE; 1/2 = k

k = 1/2

Usando k = 1/2;

demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.

F = 1/2 * 3 = 3/2

Por tanto, el cuadro 91 presenta proporcionalidad directa.

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week
and he sold 204 erasers this week.

Answers

Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

204*3= $612 from this week

The total is $900 from both weeks

Step-by-step explanation:

Hope this is what you were asking!

Jasmine invests £250 in a building society. After the first year her account
contains £262.50. After the second year it contains £280.88. Calculate the
percentage increase of the amount in her account:
(a) during the first year.
(b) during the second year.
(c) over the two years.
Give your ansivers correct to 2 decimal places

Answers

Answer:

(a) 5.00%

(b) 7.00%

(c) 12.35%

Step-by-step explanation:

(a) Find the difference, in £, between the value after the first year and the original value. Divide that by the original value and multiply by 100:

[tex]262.50-250=12.50\\\\\frac{12.5}{250}*100= \frac{125}{25}=5.00\%[/tex]

(b) Find the difference, in £, between the value after the second year and the value after the first year. Divide that by the value after the first year and multiply by 100:

[tex]280.88-262.50=18.38\\\\\frac{18.38}{262.50}*100= 7.0019\%=7.00\%[/tex]

(c) Find the difference, in £, between the value after the second year and the original value. Divide that by the original and multiply by 100:

[tex]280.88-250=30.88\\\\\frac{30.88}{250}*100= 12.352\%=12.35\%[/tex]

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