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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 44/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| I get it now, that was a good one. Guess I'll have to watch out in the future. 64 X 2 = 128. The square root of 128 is 11.313. 11.313^(1/3) is 2.244. This cubed is 11.313 again, and the square root of that is 3.3635. 2.244/3.3635 is .667. I think I'm off though, cause another way to do it would be to multiply your exponents and I got a different answer for that one... I'll take my first answer though. |
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JJ64 Boo Level: 45 Posts: 523/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Sorry I took so long, I had to find a scientific calculator. Anyway, Grey gets the point. Scores 1st. wolfman2000-5 points 2nd. Grey-3 points 3rd. NSNick-2 points 3rd. Kirby all the way-2 points 3rd. Heian-794-2 points 4th. Emptyeye-1 point 5th. Teddylot-0 points Question 16 (1 point)- There are 5 green marbles, 70 blue marbles, 155 red marbles, and 200 orange marbles. What is the probability of picking a green marble? (edited by JJ64 on 06-25-04 11:35 AM) |
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NSNick Laidback Admin Level: 85  Posts: 531/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| 1 out of 86. | |||
Heian-794 Red Super Koopa Level: 44 Posts: 151/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Isn't it 1 in 85? (=5/425) | |||
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JJ64 Boo Level: 45 Posts: 526/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Actually, it's 5/430. NSNick is right. Scores 1st. wolfman2000-5 points 2nd. Grey-3 points 2nd. NSNick-3 points 3rd. Kirby all the way-2 points 3rd. Heian-794-2 points 4th. Emptyeye-1 point 5th. Teddylot-0 points Question 17 (1 point)- A simple question. What is the quadratic formula? |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 47/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| In a given quadratic equation that can be placed in the format AX^2 + BX + C = 0, where A, B, and C are real numbers (and can be zero in some cases) and are also given, and X is not given and represents a possible value of an intercept, Negative B plus or minus the square root of (B squared minus four times A times C), and then the entire mess placed over 2 times A. The separate plus and minus answers will give the X coordinates of points at which the graph of the quadratic function crosses the X axis, the X intercepts. No Y coordinate is really needed to be solved for, since the entire equation equals zero, so zero's set as your Y coordinate for both points. This was quite possibly the only real piece of information that I retained from my Algebra classes. (edited by Grey on 06-25-04 04:35 PM) (edited by Grey on 06-25-04 04:36 PM) |
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Heian-794 Red Super Koopa Level: 44 Posts: 156/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Whoops, forgot to count the green ones! Grey, for me as well the quadratic formula will stick with me forever. Never needed it though! The forumula for an exponential, used in calculating financial interest and radioactivity, on the other hand, has come in handy many times: Pe^rt, or Ce^kt, where t is time, P or C is original material or money, and r or k is the interest rate or rate of decay. |
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JJ64 Boo Level: 45 Posts: 527/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Another point for Grey... Scores 1st. wolfman2000-5 points 2nd. Grey-4 points 3rd. NSNick-3 points 4th. Kirby all the way-2 points 4th. Heian-794-2 points 5th. Emptyeye-1 point 6th. Teddylot-0 points Question 18 (1 point)- There are 7 triangles. Find out what type of triangles they are with the given side lengths. Triangle 1: 4, 4, 7 Triangle 2: 3, 5, 7 Triangle 3: 14, 26, 30 Triangle 4: 10, 10, 21 Triangle 5: 1, 1, 2 Triangle 6: 3, 4, 5 Triangle 7: 13, 16, 25 |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 49/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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Originally posted by Heian-794 Man, I suck at triangle math... But you're right, it's a useful formula, exponential growth and decay's kinda annoying after awhile though. You're basically doing the same thing over and over again and seeing if you can take the natural log of a constant in the end just to find out how long it takes to double your money or something like that. Graphing's more fun, at least then you get to draw stuff. |
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JJ64 Boo Level: 45 Posts: 530/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Exponential growth and decay... I remember that. That was some pretty annoying math, as well as compound interest. That's why I got a lower grade on that test... | |||
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NSNick Laidback Admin Level: 85 Posts: 534/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| Isn't it Pe^(kt)? Anyways... 1. Isosceles 2. Scalene 3. Scalene 4. Isosceles 5. Isosceles (well, a line, really) 6. Scalene (also a Right triangle) 7. Scalene |
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JJ64 Boo Level: 45 Posts: 531/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Um... I was going for angle-wise. Remember the Pythagorean Theorem... Oh, yeah, and number 4 is wrong. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 51/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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Originally posted by NSNick K and R are interchangeable, it's the same formula, the number's just a proportionality constant (a rate of change based on the exponential) for the formula. Icky stuff, but I thought it was pretty interesting on the few occasions I understood what I was doing. |
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NSNick Laidback Admin Level: 85 Posts: 536/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| I meant the fact that you didn't have the parentheses there. Order of operations and all. JJ: Ah, number 4 isn't a triangle at all, you trickster.   |
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Heian-794 Red Super Koopa Level: 44 Posts: 163/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| I guess the parentheses would have to be there -- we don't normally write exponents with a ^ sign, so I'm a little unsure. Needless to say k and t are multiplied together and e is taken to this power. A neat trick is to remember that the natural log of 2 is about 0.693, or close enough to 0.700, so you can divide this by an interest rate to get the number of years it will take for an investment's value to double. For example, a savings account paying 2% will take (0.70/0.02 =) 35 years to double in value. Very handy. |
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JJ64 Boo Level: 45 Posts: 534/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| I'm sick of waiting, so NSNick gets the point. Scores 1st. wolfman2000-5 points 2nd. Grey-4 points 2nd. NSNick-4 points 4th. Kirby all the way-2 points 4th. Heian-794-2 points 5th. Emptyeye-1 point 6th. Teddylot-0 points Question 19 (1 point)- "If it is partly cloudy, then the sun is out" Find the converse, inverse, and contrapositive of this statement. |
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KATW King Yoshi "If you stare at something long enough, it can be funny." Level: 86  Posts: 1019/3959 EXP: 6087979 For next: 54128 Since: 03-15-04 Since last post: 7 hours Last activity: 5 hours |
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 Wow, I have no idea what those are, but Ill take a shot...Converse is "partly cloudy"... inverse is "sun is out"... contrapositive is... er "pratly cloudy" also? |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 56/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Converse: If it is not partly cloudy, then the sun is not out. Inverse: If the sun is out, then it is partly cloudy. Contrapositive: If the sun is not out, then it is not partly cloudy. I'm not sure if those are in the right order but what he's referring to are various forms of the "if...then..." statements. I remember them from Geometry, they're supposed to help give a standard form for theorums. |
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JJ64 Boo Level: 45 Posts: 535/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| So very close... and yet so far. Grey, you have the right idea. | |||
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 60/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Darn, alright let me try again since it's been over an hour. I think I mixed up converse and inverse. Inverse is what converse should have been and vice versa. So it's: Converse: If the sun is out, then it is partly cloudy. Inverse: If it is not partly cloudy, then the sun is not out. Contrapositive: If the sun is not out, then it is not partly cloudy. |
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