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Let the x axis be the number of bags of popcorn she can buy and let the y axis be the number of drinks she can buy

The max number of bags of popcorn she can buy is 30/5 = 6

So....we have the point (6, 0) on the gragh

And the max number of drinks that she can buy is 30 / 2.50  =  12

So...the point (0, 12)   is on the graph

So......the intercepts are  (6, 0)  and (0, 12)

The slope of the line connecting these is  [ 12 - 0 ] / [ 0 - 6]  =  12 / -6 =  -2

Using  the point (0, 12)....the equation of the line joining these points is given by

y = -2x + 12

Here's the graph....https://www.desmos.com/calculator/gcswbeikjv

Note that all integer coordinates on the graph  represent the bags of popcorn / number of drinks that she can buy at each point.....and the total price will be $30 at each of these points

14sin (2x)  =  7       divide both sides by   14

sin (2x) =  7/14

sin (2x) = 1 / 2

So...

sin  (2x) = 1/2  at     pi/6 ,  5pi / 6   , 13 pi / 6  , 17 pi / 6      divide both sides by 2

x =  pi /12   ,  5pi/12, 13 pi / 12   and 17pi /12

45₆  = 4(6) + 5 =  29₁₀

So... the sum of the first 29 integers in base 10  =  (29)(30)/ 2 = 435

Converting this to base 6, we have

435 / 8 = 72 R 3

72 / 6 =  12 R 0

12 / 6 = 2 R 0

2 / 6 =  0 R 2  =

2003₆

EP is asking you a question

Do you mean 3.2% for day or per hour or per what?

on the first day, he eats half the pie.

the next day, he eats half of half of a pie. this is 1/4 of a pie.

so it is just the powers of 2, starting with 2^1=2.

so on the tenth day, it is 1/(2^10) or 1/1024 of a pie.

HOPE THIS HELPED!

um, what?

i think you meant to put something there...!

(1/2)^10 = 1/1024 of a pie on the 10th day

You were right too.....   $ 8.4/hr    is the same as $8.40/hr

I think you may just have your formatting incorrect

x^2-7x+c = (x+a)^2    sqrt both sides

+-sqrt(x^2-7x+c) = x+a         (The sqrt needs to cover all of the terms on the left)

-x +-sqrt(x^2-7x+c) = a          

You're right. I forgot the 0 at the end.

As a ratio:

$10.50 / 125 %  =   $x /100%

10.5 (100)/125 = $ x = $ 8.40/hr

We have the equation: \(1.25x=10.50\), so \(x=\boxed{8.4}\) dollars/

Resolution by analysis.  

Based on these data, is it reasonable to conclude that a sell-out crowd is the cause of the team's poor performance at sold-out home games?

No. It‘s not reasonable to make this conclusion. This data indicates a correlation not causation.   

Can you think of another explaination(sic)

A more likely cause for the Thunder’s poorer performance for sold-out home games is the opposing teams are notably superior in game-playing skills. Teams with superior skills tend to draw larger numbers of spectators, and are more likely to have sell-out crowds.

Did random selection or random assignment play any role in the collection of these data?

No. The data is based on the (total) population, not a sample population. There is no randomness in selection or assignment. 

GA

30 percent passed BOTH tests.....Only 15% passed ONLY first test

30/(30+15) = 67% of those who passed the first test ALSO passed the second test.

Answer might be 15%

Please do NOT POST QUESTIONS TWICE !!      Here is answer if it is 3.2 % growth per HOUR.

I need a graph and a better explanation. sorry i suck at math

3.2% PER HOUR?   PER DAY?

need dimension units of gas tank    1.25 x 1.75 x 11  inches? = 24.065 in^3

80 % of this (to fill it)  = 19.25 in^3

19.25 in^3 / 231 in^3/gal = .083333 gal

.083333 gal x $3/gal=  $ 0.25    (25 cents)

b and the 96 degree angle form a straight line, so it is just 180-96=84.

d and c form a striaght line, and i can see that you already know that c is 60, so d is just 180-60=120.

HOPE THIS HELPED!

b and the 96 degree angle form a straight line, so it is just 180-96=84.

d and c form a striaght line, and i can see that you already know that c is 60, so d is just 180-60=120.

HOPE THIS HELPED!

of course it is not 0 (not trying to be rude), because there is only one case and there are 5*4*3*2*1=120 cases total, so it is 1/120.

Compute . Express your answer in base 3.

\(121_3+2122_3-1200_3-2111_3\\ =(121_3+2122_3)+(1200_3-2111_3)\)

Just doe it the same as any primary school addition and subtraction. Except it is base 3 not base 10 so you carry lots of 3 not lots of 10.

I have put each digit in a column. The 'carry' and the 'not' were added as I did the calculations.

121_3+2122_3-1200_3-2111_3

The first one is bigger than the second one s the answer will be negative

Get the absolute value by subtracting the second from the first

so

\(​​10020_3-11011_3=-(11011_3-10020_3)=-221_3\)

one never knows the meaning of life until they have gone through life itself. When life is being developed, it is showing you what it takes to know what is life.

first you see that it is a difference of squares, so it is \((x^2+y^2-z^2)^2-(2xy)^2=(x^2+2xy+y^2-z^2)(x^2-2xy+y^2-z^2)=((x+y)^2-z^2)((x-y)^2-z^2).\)

Now notice you have more differences of squares, so you get your final answer as \(\boxed{(x+y+z)(x+y-z)(x-y-z)(x-y+z)}.\)

HOPE THIS HELPED! (at the start i acidentally wrote my answer in a guest account, LoL)