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Pythegorem Thereom

4! x 4! = 576 

Wrong again Titanium.

Are you sure you're not the Titanic. You seem to be sinking :/

uh... -9...dang it

-3n < 7n - 20                        7n - 20 < 3n

0 < 10n - 20                          4n - 20 < 0

20 < 10n                                4n < 20

2 < n                                       n < 5

So n is greater than 2 and less than 5. That is, n can only be 3 or 4. The sum of 3 and 4 is 7

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Using the binomial expansion we have (x - 1)⁹ = x⁹ - 9x⁸ + ....  and we don't need to go any further because we have the x⁸ term, for which we see that the coefficient is -9

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no no no, headingnorth, youre far from correct

its 27 to the 2/3 power

what would 2/3 of 27 be? 18

overall, the real correct answer is 18

Each term beyond the first is -2 times the previous one, and there are n-1 terms beyond the first, so the n'th term is given by (-2)^n-1 times the first term or:  f(n) = (-2)^n-1*(-3.5)

The fourth term is then: f(4) = (-2)³*(-3.5)  = -8*(-3.5) = 28

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also, i believe you forgot to say happy Mother's Day to Mother Nature, who gave you those math powers!

guys, i beated chris on finding pi! I'M THE ULTIMATE MASTER OF PIE!

don't believe me!? follow melody's link!

chris, i just saved your life by not forcing you to write in roman numerals

you can thank me later

no no no, he didn't go to the sea

he went to Neu Alcatraz running the cruise schedules

he just finished his quest. or should I say, I FINISHED MY QWEHST!

anyways, the chimp just came back from his cruise, hes now living a life of politics

I VOTE THE CHIMP FOR MODERATOR! or what was the catchy quote?

sorry guys, but I was hired by Wild Bob Jones (yes, he's still my boss) to play as kronos in the movie:

The Quest To Find Pie

Thanks Titanium, I do not know about increasing your power but I am more than happy to help you increase your knowledge.

Thank you for the lesson on Roman numerals but it makes no difference.  Sir CPhill MUST find the Roman Zero.  It is his quest.  I do not know why it is taking him so long, he  knows it is in Sisyphus's boulder!  Perhaps he is blind?

Perhaps you will understand poor CPhill's predicament better if you familiarize yourself with some of these old posts that Chuirgeon Tud has dredged up.  It was a hilarious period in Camelot's history :)

alright, let's go and fight #1, which in my personal opinion, is the easiest cuz it involves only one thing: MONEEEEEEEEY! $$$$$$$$$$$

well anyways, let's stop goofing around.

so, the monthly salary for Jack is $78,000 (which is honestly stupid, he should get paid more money)

and, 20% is spent on food (food's good)

and 20% of the 78 000 cash is: $14,400 (that's a lot of money for food, i can buy like about 20 iphones with that cash)

so, 72,000-14,400 equals: $57600

then 10% on house rent (it should be 5%, but that's life. people rip you off)

and 10% of 72,000 is:7,200

so, $57, 600-7,200 would equal: $50400

okay, thats part I

part II, he now has $50, 400, and what does he do with that cash?

he spends 30% OF THE REMAINING on his only son's education (well, it actually should be 50% anyways, it's callled trading, but that'slife)

and 30% of 50, 400 equals: 15120

and 50, 400 - 15,120 = $35280

then he spends 10% of the rest on charity (yay, charity! helping people out!)

and 10% of 35 280 equals: 3,528

so, 35,280 - 3, 528 equals: $31752

overall, his monthly savings is $31, 752 (that's less than 50% of what he started with, what the heck? well, thats life again)

and so overall, the answer is: E (NONE OF THE ANSWERS ABOVE)

and actually, his "savings" are spent on me, cuz i stole all the money

Cops: Titanium Rome, you're under arrest for stealing Jack from Titanic's money!

Me: omg! must get rid of the evidence, or maybe run before they catch me!

$${\frac{{\frac{{\mathtt{1}}}{{\mathtt{3}}}}}{{\mathtt{2}}}} = {\mathtt{0.166\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

*arrives as the national anthem plays

alright, and yes, I can find absolutely the perfect answer to this roman numeral 0 case. Why you ask?

cuz my real name is Roman and I know all the facts
anyways, your explanation is:

Roman numerals are not positional, so there is no actual need for a zero. In the system we use at present, we have 10 digits whose value at any time depends on the position they are in in the number - 1046 is quite different to 6401. In Roman numerals, MXXXXVI is the same as IXXXXMV. The first one is the usual way of writing it. However, in later times of Rome, a slightly positional system was used. MXXXXVI would be written MXLVI which can't be rearranged. Whichever way you write the Roman numbers, addition and subtraction are not too hard - you just collect like terms and count them up or cancel them out (making allowance for things like XL, of course. Division and multiplication are far harder. Decimals are impossible, and fractions difficult. Without the 0, a true positional system is not possible. You need to know that there aren't any hundreds in 1046. In the Roman system, you just didn't worry.

and before I wrap up, i also want o thank Melody, mainly for letting me increase power and knowledge.

my life would suck without this site!

Thanks Heather :)

well, actually, i can find the perfect explanation to 0, cuz I'm standing right next to a roman. Titanium Rome, proceed!

-8r < -12

Add 8r to both sides

0 < 8r - 12

Add 12 to both sides

12 < 8r

Divide both sides by 8

12/8 < r  or 3/2 < r

This says r is greater than 3/2 so you could write it as r > 3/2 if you want r on the left.

(An alternative approach is simply to divide both sides by -8 immediately, but because you divide by a negative number you must change the < to a >)

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i+i²+i³+i⁴ = ?

$$\begin{array}{rcl}
i+i^2+i^3+i^4&\\
&=& {( \underbrace{ 1+\underbrace{i^2}_{=-1} }_{=0} ) \cdot(i+i^2)\\
i+i^2+i^3+i^4&=& 0
\end{array}$$

6t > t + 6

Subtract t from both sides

5t > 6

Divide both sides by 5

t > 6/5   (or t > 1.2 if you prefer)

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