razorfane

The one with the labyrinth and the exorcist is worse. Look at this kid getting scared: http://spikedhumor.com/articles/15069/Kid_Gets_Owned_By_His_Dad.html

Well, I'm not sure if somebody posted this already (tried reading most of the threads), but more round than blue? Aren't those two things uncomparable? It's like asking if a car is more expensive than it is fast. I'm also aware that these are the kind of things that are discussed in this forum, and but still, if you think about it, it's still uncomparable. If the ball is blue, than it is blue no matter what we perceive. If you shine a red light on the ball, the color is not going to change, only our perception of the color. Same with its roundness.

When it says at which point along the road it actually means what part of the road, for example two thirds of the way, or 2 miles going up etc.

A buddhist monk makes a usual journey up the mountain. He leaves at dawn from the bottom and arrives at the top just in time to see the sunset, stopping a number of times along the road to eat and meditate. At the top he rests the whole night and leaves again the next morning at dawn. During his way down he stops along the road to meditate and eat and arrives at the bottom in time to see the sunset. At which point along the road did the monk cross at the same exact time both days?

Why would they hide this?

umm... I really don't know where this could go so I put it here. Maybe if there was a mythology forum. Also I'm not sure if this was discussed already, I tried searching, haven't found anything, but since it is a very intriguing subject... Anyway.. I saw this documental on dragons. Off course there's no evidence they exist yet, but the documental pretends they really existed and forms an awsome story and background on dragons. They explain how they've evolved from the cretaceous era till the last one that was killed by knights and dragonslayers in medieval europe. I thought it was really well made. Just wanted to see any thoughts on this, I particularly find it intriguing that all of the ancient cultures had mythology on dragons without ever communicating with each other.

can you give more examples?

Could you explain this deduction, please. I'm also working on the problem, btw.

A homeless and a scientist sit together on a train. The scientist gets bored and decides to play a game based on questions and answers, whoever gets a wrong answer has to pay. Since the homeless guy only has one dollar they decide that if the homeless guy gets a question wrong he has to pay one dollar but if the scientist gets it wrong he pays what he has, $352. The scientist goes first, he points out the window, "Can you see that star?" he tells the homeless. "Tell me the distance of the nearest star in that constallation." Off course the homeless guy had no idea so he ended up paying his dollar. Now the homeless' turn, "Do you see that mountain?", he tells the scientist. "What animal goes up the mountain on four feet and comes down the mountain on six feet?". The scientist thinks and thinks but nothing comes up. Arriving at the final stop, the scientist finally gives up and pays $352, but before exiting he says "How can this be possible, with all these years of study. Please you have to tell me what animal goes up the mountain on four feet and comes down on six!" So the homeless reaches for his pocket and gives him one dollar. Moral: common sense is better than knowledge(umm... generally speaking)

I think this is a pretty hard question: All the whole numbers from 1 to 2002, including the both of them, are written on a chalkboard in increasing order: 1, 2, 3... 2001, 2002. Then, the first number is erased, then the fourth number, then the seventh number, then the tenth number and so forth erasing all the numbers that occupy a place in the form 3k+1. In the new list of numbers(after the first erasing) the same procedure is applied, erasing all the numbers occupying a place with the form 3k+1. This same process is repeated until all the numbers are erased from the chalkboard. What number is erased last?

It is 1:00 on a grandfather clock(a non-digital one), what time will it be when the minute hand and the hour hand form a 90 degree angle for the first time?

yeah phi, and there also one more thing: [hide]We don't know if the wells have more capacity than just one glass, and maybe poisoned water tastes different so the witch would know if it is regular water or not.[/hide]

i never heard it, btw. [hide]The princess expects the witch to give her water from well 8, because if you drink from it there's no cure. So the princess has to drink from any of the other wells first, so she's poisoned and at the time of drinking from the 8th well , she's healed. The witch dies because the princess gives her regular water, so when the witch drinks from the 8th well, thinking she's poisoned, she poisons herself with no cure.[/hide]

yeah, but when the question says accurate it actually means exactly accurate. I could have put that it slows down 5 min every day. Many people do this, they forward their time 5 min. so it helps them be early at their job or meeting, but if they know how much time it has been forwarded, what good is it?. They just keep on subtracting and get the real time. anyway that was just a comment.

There are two clocks, a broken one and a working one. The working one slows down exactly 1 second every day. Whic of the two watches has a more frequent accurate reading of the time? WHY?

Well, I actually said it's a second degree ecuation, but now I'm not really sure, since [math]x^2[/math] would make an ecuation second degree, but this is [math]x^{2x}[/math]. About the third answer I'm not really sure either since [math]0^0[/math] would be undefined. I've never seen it equal to 1, I think there's no proof that it equals one so texts take it as undefined.

umm, yeah, since it is a 2nd degree ecuation there are two solutions. Two get both solutions i usually isolate the x and use the cuadratic formula, which doesn't work here, or make the equation equal zero and have a multiplication on the other side, then make each factor equal to zero, which doesn't work either. So that second answer i wasn't able to find algebraically.

Oh, ok. Actually there is no algebraic solution and... i'm joking, here it is: [math]x^{2x}=2x[/math] [math]x^{2x-1}=2[/math] [math]x^{\frac{2x-1}{2}}=2^{\frac{1}{2}}[/math] [math]x^{x-\frac{1}{2}}=2^{\frac{1}{2}}[/math] [math]x^{x-\frac{1}{2}}=\left(\tfrac{1}{2}\right)^{-\frac{1}{2}}[/math] [math]x^{x-\frac{1}{2}}=\left(\tfrac{1}{4}\right)^{-\frac{1}{4}}[/math] [math]x^{x-\frac{1}{2}}=\left(\tfrac{1}{4}\right)^{\frac{1}{4}-\frac{1}{2}}[/math] Since both members are structurally the same, you deduct: [math]X=\frac{1}{4}[/math]

I know you got the answer. are you insinuating there's no other way?

You're giving up that easy? Really, it's just a matter of imagination.

That's what I'm asking you guys. It took me and 2 other dudes like 3 weeks to solve it, and this is the simplest problem of it's type.

umm, yeah, the answer is 1/4, but off course the beauty lies in solving it algebraically.

http://www.madsci.org/posts/archives/jun2000/960860141.Zo.r.htmlhttp://www.madsci.org/posts/archives/jun2000/960860141.Zo.r.html

Common, it's not that hard. First of all, off course it's not calculus, second, before attempting any of these problems you should know the properties of the complex numbers. I'll solve the a) and the rest is pretty much the same. [math]i=\sqrt{-1}[/math](this is kind of obvious, but just in case) The problem is asking for a multiplication of two complex conjugates, a+bi and a-bi that equal 25. So... [math]25=(a+bi)(a-bi)[/math] [math]25=a^2-(bi)^2[/math] [math]25=a^2-b^{2}i^2[/math] [math]25=a^2-b^{2}(\sqrt{-1})^2[/math] [math]25=a^2-b^{2}(-1)[/math] [math]25=a^2+b^2[/math] We know that a and b have to be positive whole numbers, so you think for one second... and come to the conclusion that niether one can be greater than four because... 5 squared equals 25 and adding anything to it will increase it making it not equal to 25,(which we don't want off course). So... if they have to be positive, whole numbers, less than five, it's easy to deduce: [math]25=4^2+3^2[/math]. Where one of the answers, a=4, b=3 and the other answer is backwards. If there's anything wrong here, correction is appreciated.

You're complicating yourself, it's 100% algebra.