Mathematics - 12 October 2007

Alright, so here's how the game is played:

You're trying to make as many numbers as possible using 4 4's or less, in an attempt to try to prove an old theory: "You can make any whole number using only four instances of the number four and commonly used mathematical symbols."

So so far, the symbols allowed are:
1. All standard mathematical operators (+ - * /)
2. Factorials (4! = 4*3*2*1)
3. Square roots, arbitrary roots (the index is included in the 4 4's)
4. Repeat signs (denoted with an apostrophe ' or grave accent `, ex. 0.4` = 0.4444444.....)
5. Exponentiation (denoted with a caret ^, 4^4 = 4*4*4*4)
6. Decimals do not require a leading zero. So you could put .4 instead of 0.4.

I'll start:
0 = 4-4
1 = 4/4
2 = sqrt(4)
3 = 4 - 4/4
4 = 4
5 = 4 + 4/4
6 = 4 + sqrt(4)
7 = 4 + 4 - 4/4
8 = 4 + 4
9 = 4 + 4 + 4/4
10 = 4 + 4 + sqrt(4)

And the next person would continue from 11, 12, and so on, and introduce new symbols and explaining them if necessary.

2007-10-12 11:55:43 · 5 answers · asked by hi :] 2

2007-10-12 11:52:16 · 2 answers · asked by preppygrl88@sbcglobal.net 3

2007-10-12 11:50:59 · 5 answers · asked by Random G 3

2007-10-12 11:48:41 · 5 answers · asked by Random G 3

is traveling at 4800 meters per minute the same thing as 9600 meters per second?

2007-10-12 11:46:45 · 4 answers · asked by TwiLight* 3

2007-10-12 11:36:23 · 6 answers · asked by Person21 1

Initially this problem seems to be in simplist form but I think I am missing the method for tackling the square root of 8.

2007-10-12 11:33:50 · 5 answers · asked by Troubled with Numbers 1

please show work

2007-10-12 11:29:05 · 3 answers · asked by yu.s@att.net 2

What does the symbol S with three lines through it mean? It looks like money sign with an extra vertical line through it. Thanks!

2007-10-12 11:26:47 · 1 answers · asked by Anonymous

At the star of the trip, a car’s speedometer reads 34,627 kilometer while at the end reads 35,118 kilometer. If a trip takes 8 hours, what was the cars average speed?
show me how u get it>>,,,..

2007-10-12 11:23:50 · 6 answers · asked by cielo a 1

The trig function is: sin^2(x/6)
I have as an answer:
2cos(x/6) - ((1-x)/(6))

The process I used was chain rule and on the x/6 part of the chain rule I used the quotient rule.

Is this correct, is my procedure correct, if not please tell me where I went wrong, thanks!

2007-10-12 11:11:54 · 10 answers · asked by ret80soft 1

If anyone could explain how the following is done, it would be very much appreciated!

A composite number is considered a Carmichael number if the congruence a^(m-1) ≡ 1 (mod m) is true for every number a with gcd(a,m)=1.

Verify that m = 561 = 3 * 11 * 17 is a Carmichael number.

2007-10-12 11:08:48 · 1 answers · asked by oldtimer 2

2007-10-12 10:55:06 · 3 answers · asked by myYahoo 1

Hi, ok question one: Are isosoceles, sometimes, always or never equilateral?

Also do you know of any good websites where I can get step by step examples of when you need to find x, and y, with parrellel lines and a transversal. I wish I could put up an example of what I am talking about but, not sure how. So, thank you very much!

2007-10-12 10:52:58 · 9 answers · asked by Dogna M 4

hey anyone know how to do this? I need help..

1. 4^9 times 4^7 times 4^1

2. b^2 times 4b^10

3. 7x^-8 times 6x^3

2007-10-12 10:48:26 · 5 answers · asked by Sam 1

2007-10-12 10:47:46 · 4 answers · asked by Anonymous

2007-10-12 10:47:20 · 0 answers · asked by Anonymous

My teacher gave me this and also said there may be no soultion so don't strees too hard over it. thanks :)

4x + 2y = 6y + 1x

2007-10-12 10:43:47 · 13 answers · asked by AHauntingNearU 2

2007-10-12 10:35:47 · 9 answers · asked by Anonymous

The graph of the function, what is it, and why is it considered a subset in (a) mapping.. (it seems bigger)?

2007-10-12 10:34:35 · 1 answers · asked by Anonymous

2007-10-12 10:29:43 · 12 answers · asked by samjam555 1

can anyone put this number into a ordinary number and tell me how you did it step-by-step cheers

8.36 x 10 -2 (above next to 10 eg -10 X -10)

2007-10-12 10:19:46 · 7 answers · asked by Anonymous

2007-10-12 10:18:29 · 8 answers · asked by tcooper19 1

2007-10-12 10:12:51 · 10 answers · asked by yardi 1

2007-10-12 10:07:12 · 6 answers · asked by I am a crazy man 1

1. (-7)^-2

2. 7k^6m^-5

3. 7/x^-8 y^6

2007-10-12 10:06:00 · 6 answers · asked by ♥ 1

2x^3 - 3x^2 + 2x - 3

2007-10-12 10:03:09 · 9 answers · asked by that_photo_chick07 2

How about a Zebra?

2007-10-12 10:00:32 · 9 answers · asked by Anonymous

2007-10-12 09:55:58 · 2 answers · asked by tcooper19 1

x-y+z = 0
2x+y+3z=0

2007-10-12 09:47:13 · 5 answers · asked by Anonymous