factorise 1000a^2+27b^2​

Answers

Answer 1
1000a+27b with 2 on top of the number

Related Questions

3 MS Wingate's coffee table is 7 feet wide the length of the coffe table is 8 times the width what is the perimeter of the coffe table?

Answers

It should be 126 because it’s a rectangle and you have to add all the side since it’s perimeter meaning 7x8=56 56x2=112 7x2=14 112+14=126

Plot /\ABC: B(-1,-1), and C(4,-1)
——JUST LOOK AT PHOTO AND PLEASE HELP

Answers

Answer:

i dont know sry

Step-by-step explanation:

:)

The regular price of an item is $150. The item is on sale at a discount rate of 30%.
What is the sale price of the item?
$45
$105
$120
1970

Answers

Answer:

$105

Step-by-step explanation:

30% of 150 is 45.

150-45 = 105

Hope that helps

It would be $105 for the sales price

Will mark brainliest!

In your own words, explain the pattern! Can you write an equation? What is the y value if x value is 15?

Answers

Answer:

try 5

Step-by-step explanation:

What is the slope of the line containing (-2, 5) and (4, -4)?

Answers

Answer:

B. - 3 / 2

Step-by-step explanation:

Let,

( x1, y1 ) = ( - 2, 5 )

So,

x1 = - 2

y1 = 5

( x2, y2 ) = ( 4, - 4 )

So,

x2 = 4

y2 = - 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )

= - 9 / ( 4 + 2 )

= - 9 / 6

Slope = - 3 / 2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )

m = [tex]\frac{-4-5}{4-(-2)}[/tex] = [tex]\frac{-9}{4+2}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] → B

Explain how I got this wrong please

Answers

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month

Answers

Answer:

Plan A is $3 cheaper can Plan B.

Step-by-step explanation:

first equation: 1.5t+9

second equation: .50t+38

Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.

Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.

Answers

Answer:

the BIG B (big base) is 2(5*6)*½ which is 30.

the bottom is 8*5 which is 40.

the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.

30+40+104=174 SQUARE FEET

Plz answer in (x,y).

Answers

3(3x + y = 1/3) ➡️ 9x + 3y =1

9x + 3y = 1 (3/3) Add together
2x - 3y = 8/3

11x = 11/3 divided by 11

x = 1/3

2x - 3y = 8/3 Find y

2(1/3) - 3y = 8/3 Plug in x

(2/3) - 3y = 8/3 Subtract 2/3
-2/3 -2/3

-3y = 6/3 Divided by -3

y = -2/3

(x , y) ➡️ (1/3 , -2/3)

803 to 2:12
1,460 to 4:00
753 to 1:30
are these proportional?!?

Answers

Answer:

  no

Step-by-step explanation:

In terms of area per hour, Bob's works at the rate of ...

  1460 ft²/(4 h) = 365 ft²/h

Rhonda's rate is ...

  753 ft²/(1.5 h) = 502 ft²/h

The rates are different, so they are not proportional.

___

Additional comment

Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's

Bob's and Toni's rates are proportional.

A principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?

Answers

Let S = Sum after 13 years

     So = amount invested

     t = time in years

     i = annual interest rate = .0325

The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21

A taxicab charges $3.00 per person
plus $1.25 per mile. What is the
greatest distance one passenger
could travel with a budget of
$28.00?

Answers

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28       ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

How many solutions are there for the system of equations shown on the graph?

No solution
One solution
Two solutions
Infinitely many solutions

Answers

Answer:

NO solution

Step-by-step explanation:

mark me brainliest pl

88800 divided by 10 to the second power explanation of change in digits

Answers

Answer:

4440

Step-by-step explanation:

easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.

Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.

Answers

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

f(x) = –2x^2 – 3x + 5

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

Learn more on functions here: https://brainly.com/question/10439235

A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?

2b
5b
5b − 3
2b + 7

Answers

Answer:

25452664637378381234

Answer:

2b+7

Step-by-step explanation:

sorry for the dimwit who typed random numbers

Help me solve these questions
?

Answers

Answer:

All of these?

Simplify this expression.
2V5(13 +V2)

Answers

Answer:

26V^5+2V^7

Step-by-step explanation:

Allison buys some cloud storage for her files. On average, she adds files that take up 2​ megabytes each day. After 64​ days, she has 96​ megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after x​ecks days.

Answers

Answer:

the answer would be a because i had this exact question on ed2020, i think i remember it being A.

Step-by-step explanation:

should be A. hope this helps!!

Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

*The total cost of the buses was the same for the two schools
*Students from Valley High School paid $5 less than students from Haynes High School.

What was the cost per student for Haynes High School?

A. $5 B. $15 C. $20 D. $40

Answers

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

A sandwich shop has a catering program. There is a flat fee of $30.00 plus $5 per boxed lunch (sandwich, cookie, and bottled water) ordered. If a total order is $150 , how many boxed lunches were ordered?

24?
5?
6?
or 36?

Answers

Solve using this equation: 30+5x=150. And solve as follows: -30 on both sides to get 5x=120. Divide by 5 on both sides to get x=24. Meaning 24 boxes were ordered. You can always double check work by substituting your answer for the variable in the initial equation. 30+5(24)=150. 30+120=150. 150=150 so you know it works.

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

Read more about residuals at:

https://brainly.com/question/4333650

Plzzzz help meeee plzzzzzs

Answers

The answer is b because they are both the same length

Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151

What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179

Answers

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

can someone please help?!

Answers

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15

Answers

Answer:

the answer is A. it good answer

Find the value of x for the following triangle. Give your answer to a whole number. (No decimal)​

Answers

Answer:

12

Step-by-step explanation:

pls answer quickly

Ryan wants to measure the length of a bed cover which of the following would be the most appropriate unit to use?

A) kilogram

B) kilometer

C) meter

D) mile​

Answers

The answer is meter since grams is used to measure weight and kilometer and mile are used to measure something larger.

Answer:

C. Meter

Step-by-step explanation:

1. Kilograms measure weight, not distance/length, so it wouldn't make sense to use them to measure a bed.

2. Kilometers are used to measure very long distances, as are miles, so it wouldn't make sense to use them on something small like a bedframe.

That means the only option left is C. Meter.

Hope this helps.

Find the product and simplify the answer -n(-2n^4+9n-5)

Answers

Answer:

ay manuck im in 7th grade it sucks but you can get a OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

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