Mathematics

pi is probably the strangest number on the planet. On one hand, Pi is defined as a ratio... that of the Circumference of a circle to its diameter. However, as far as I know, it is a nonrepeating infinite decimal, therefore making it an irrational number, correct? So how is it that you can take a ratio, and get an irrational number out of it?

Hi, ive just done a Anova on a set of data...ive got the results but i have no idea how to examine the data to get answers? can anybody help me? i have df,f and sig!!

Sorry if you've heard this before. Three guys need to get a room for the night. The room costs $30 so they each chip in $10. After they get upstairs, the desk clerk realizes he made a mistake and the room should have only been $25, so he sends a bell hop up with $5 to give back to them. The bell hop decides that he's only going to give each guy $1 and keep the other $2 for himself, so that's what he does. So if each guy pays $10 and gets $1, then it's like they only payed $9. So 9 * 3 = 27. Add the $2 that the bell hop has and you get $29 for the room. Where did the other dollar go? I'm pretty sure I know it, but I'm not to sure of my explaination (whi…

(n+2)^3 =n^3+3(n^2)(2)+3(n)(2^2)+2^3 =n^3+6n^2+12n+8 Could sum 1 tell me how this method cud b used for other exponents such as (n+2)^4 or (n+2)^5. So plz xplain to me this method of expanding, plz show the pattern if there is one.

Is it possible to derive the formula for a traveling wave using classical Newtonian mechanics? Here is the formula I want to derive: [math] A(x,t) = A_0 sin(kx-\omega t ) [/math] Thank you

Ok, so on this other forum I go to, one of the users asked for help explaining exponents to her kid and how the work for his homework. Most of it I could cover, but one thing I couldn't. We all know negative exponents, and simple stuff like 1/(x^-2) = x^2, and it's easy enough to simply state the rule, but my question is *why* is that rule the way it is? I mean, what's the derivation behind it? I hate to say "it just is that way, kid", but it's been a hell of a long time since I took Algebra, and I don't remember the reasoning for it. So, basically, what I'm after is a logical explanation for the way negative exponents work, that I can present in a form a kid t…

I've been trying to figure out how to know what units can be used with each other in equations such as P=E/t. After reading about the MKS, CGS, and FPS unit systems, I think I understand now, but Im not sure. 1) From what I understand, the MKS, CGS, and FPS unit systems are collections of units that can be used in equations with only other units from the same collection. So if you use MKS, you can use meters with kilograms, but not meters with grams to get the right answer. In MKS you can use kelvin but not celsius, you can use watts but not statwatts, etc... Im I understanding right so far? 2) If I was to use a set of units that aren't a part of MKS, CGS or FPS…

This is concerning the maths problem where you are in a gameshow and three doors are available behind 2 there are goats but one is a car. You choose one but do not open it. The host opens one of the two that you did not choose and shows a goat. Should you open the door you chose or change your mind with the remaining one door? Well you should change door Please somebody explain the maths of this (No there is not a 1 in 2 chance on getting the car in the remaining 2 doors)

can anyone educate me on this topic, as i would like to integrate it into my lab report results, also thats what the lecturer suggests. i have 3 sets of results with 4 readings each against time with 1.5s interval from 0 upto 6s. thanks alot

Hello Teachers! Largest 3 digit number divisible by 25. IS there any simplest method to solve it? Thanks.

[math]U = f(x,y)[/math] Can someone explain to me how [math]\frac{dy}{dx}=-\frac{\partial{U}/\partial{x}}{\partial{U}/\partial{y}}[/math]? _______________ http://members.fortunecity.com/ku20/oldindex.html

Spent some time finding the thread that asked how to find 20x + 10x^2 = 0 So, moderators, please help. Sorry. Ok, you can solve graphically although i know the answer might not be accurate. By trial and error, i got an answer where x=0.03... something. I guess you can't solve by log as you can't log a negative 20x. the answer should be from between y=-20x and y=10x^2 I think only by using a special software to graphically draw out the graph and read from it. Hope it might help. :x

Dumb question: Is the infinite dimensional vector space (with finite number of non-zero components of course) over a countable field countable? I tried to look it up, but couldn't find anything. I don't need a proof, just maybe a little plausible explanation if possible.

How do they work? I heard that equations based on the seed value are used. If so, do you have any examples of them?

I was just curious, since I have no idea what the most advanced math stuff is these days (I've never really understood anything higher than a calculus 1), I was wondering what the newest stuff to math is. What kinds of things are they still working on? What are some of the newest fields they've discover/invented? What's actualy left to work on? If I want to be a mathemetician, can I look forward to have anything to work on?

Hello Teachers! Teacher's day in the year 2004 fell on Sunday.On what day will the teacher's day in the year 2005 fall on ? How to solve this problem? I am in 4th grade? Thanks.

Anyone has read "elements" before?

Ok, I've got this integral, having slight problems solving it: Int ( [coth(x/2)-1]sin(ax) dx ) from zero to infinity. Now, I've expanded coth(x/2) = (e^(x/2)+e^(-x/2))/(e^(x/2)-e^(-x/2)) = (1+e^(-x))/(1-e^(-x)) So I get the integral Int( 2e^(-x)/(1-e^(-x))sin(ax) dx). I've thought that this may be siplified using the sum sum_n ( z^n ) = 1/(1-z) when n goes from zero to infinity, thus I get 2*int( e^(-x)e^(-nx)sin(ax) dx) Any tips on what to do next? i know the solution of the integral to be pi*coth(pi*a)-1/a, but can't figure out how to get there.

Why can't the square of radical negitive one equal to one? Unless of course, it does equal both one and negitive one, making it similar to the mathamatical avatar of the light, since light is both wave and photon...

Hello, I've been using Mathematica recently, and I was curious to how you would find the value of two variables to plug into an equation.. it's a simple problem, I just don't know how to type the formula into the program. Example below: Provide an ordered pair (m,n) of numbers that satisfy the following equation: 5m-n=9 Thanks!

I'm trying to figure out the energy consumption per person per day in the US, but I think I'm messing my dimensional analsys up somewhere. Whoever figure it out first gets a cookie! In 2001 the USA used 96275 trillion BTUs of energy that year. This comes to 3.22 trillion watts expended annually or 8.82 billion watts each day . Now there are about 295 million people in the US, so this comes to about 30 watts per person per day ..... wait this can't be right.... Am I doing this wrong, or is my data bad?

Hallo Teachers! How many line symmetry in the figure: X thanks.

Hello Teachers! How to add number from 21+22+............+30? IS there any simolest method? Thanks.

Sir, The difference of two number is always 1.equal to one number or less than both the number. IS (1) correct? Could you please explain it to me? Thanks.

Sir, How many chord can pass through the center of a circlr? Thanks.