48||||||%23%23%23%23%23 and Henry working together can finish a piece of work in 3 %BE days. If %23%23%23%23%23 works for three days alone and then stops%2C Henry can finish the work in 5 more days. How long would it take each one working alone to do the whole job%3F|||116|5.46296296296296|0 2|0|alexb|10/12/2000|22:46:40|mark n|payphone problem|hi%0D%0A%0D%0Acould you help me with a maths question i am having trouble with %3A%22A pay phone will take only 10p%2C 20p%2C 50p%2C and %A31 coins%22||552|5.48327137546468|1 5|0|alexb|10/18/2000|16:10:48|Jeff|What is an algebra%3F|Alex%2C%0D%0A%0D%0AI am trying to find the answer to %27What is an algebra%3F%27 From the%0D%0Acontext clues of the instructor%2C the answer will be ||473|5.49632352941176|1 8|0|alexb|10/18/2000|17:32:44|delilah|I have a question about my math.|Hello my name is delilah hulsart i go to south high school in minneapolis. I was wondering if you can give me a little help. I have IMP 2 i don%27t kn||487|5.48076923076923|1 9|0|Janich78|10/18/2000|18:08:43|Janich78|A simple problem|I like your page. You might be able to help me in a little problem. I%27ve run across this problem and wonder if you%27ve ever seen it before %28an||492|5.45853658536585|2 10|0|alexb|10/18/2000|21:40:56|Gregory R. Sahagen|non-Euclidian geometry|I tutor mathematics part time and find your website interesting and helpful. The statement under Euclid%27s fifth postulate that triangles have an upp||462|5.41228070175439|1 11|0|alexb|10/18/2000|23:09:28|LuLu Johnson|angles in a pentagon|Four of the angles of a pentagon have measures 40%2C80%2C115%2Cand 165. Find the measure of the fifth angle.%0D%0A||483|5.46781115879828|1 12|0|alexb|10/18/2000|23:30:01|Hannes Pichler|complex number paradox|hi%2C%0D%0A%0D%0Ai have a real problem with complex numbers.%0D%0A%0D%0AWhat%27s wrong with the following line%2C where a is a real number %28not equa||499|5.44813278008299|1 13|0|Jonathan Belinkov|10/19/2000|08:39:09|Jonathan Belinkov|proof for Euler%27s identity|Hello%2C%0D%0A%0D%0AI recently discovered your site and found it very interesting. I really think it%27s a great site. I was also wondering if you cou||720|5.48603351955307|4 14|0|alexb|10/19/2000|09:01:19|Colin_Lipworth|An old geometry teaser|Hi Alexander%2C%0D%0A%0D%0ACongratulations on your interesting site.%0D%0A%0D%0A%0D%0AYears ago%2C I came across a seemingly simple geometry problem t||577|5.49553571428571|1 15|0|alexb|10/19/2000|20:51:50|NP2099|question about the 5th postulate|Hi.....my name is Nishant and I wanted to ask if it would be valid to use other regions of math like pre-cal or trigonometry to prove the postulate%2C||472|5.42410714285714|1 16|0|alexb|10/20/2000|12:32:59|Jim|A combinatorics problem|Msg%3DSuppose there are 5 couples%3A%0D%0A%0D%0AA%28husband%29 and B %28wife%29%0D%0AC and D%0D%0AE and F%0D%0AG ||394|5.46938775510204|1 17|0|alexb|10/20/2000|14:08:08|SNOOTCH007@aol.com|The number of intersections of L lines|hello i have a problem%2C i have been given the answer to a part of the question and yet i still not quite sure on what he has written%21 %0D%0A%0D%0A||513|5.54106280193237|1 18|0|alexb|10/21/2000|10:39:13|Ivo|Kierkmann%27s 15 student problem|Problem is%3A15 students must every day in week %287 days%29theirselves into five 3-members group. But every student maybe only once per week in in an||493|5.51750972762646|1 19|0|alexb|10/21/2000|11:47:20|Simon Parry|Number of times to fold a piece of paper in half|How many times is it possible to fold a piece of paper in half and then half again.%0D%0A%0D%0ASeveral people I have spoken to say it is 7 or 8 times ||507|5.48550724637681|1 20|0|alexb|10/21/2000|11:47:20|Timothy Grey|the binary system|Hi There%2C%0D%0A%0D%0AI found your site while looking for some help in just some very basic understanding of the Binary system. I am working on my A%||573|5.51376146788991|3 21|0|alexb|10/22/2000|09:24:41|Samantha Carelse|Area formulas of polygons of perimeter 1000m|I am currently working on an investigation on finding the right shape for achieving the maximum volume for a perimeter of 1000 metres. I have currentl||776|5.53159851301115|1 22|0|alexb|10/22/2000|15:14:38|Margery Hunt|Pick%27s Theorem|Sir%2C%0D%0A%0D%0AMy name is Margery Hunt%2C and I am a student at The Arkansas School for Mathematics and Sciences %28ASMS%29. I have been working o||508|5.50180505415162|1 23|0|alexb|10/22/2000|15:27:39|Paul Kell|Probablity Question %28marbles out a bag%29|Alex%2C%0D%0A%0D%0AYour website is very interesting. I am hoping you can answer a probability question for me. I don%27t have much experience with p||589|5.50541516245487|1 24|0|alexb|10/22/2000|17:46:28|Michelle|Koch%27s Snowflake|Hi%21%0D%0A%0D%0AI would like to know if you can help me figure out the formula to figure out the area and perimeter for a Koche Snowflake%3F My math ||579|5.46440677966102|1 28|0|alexb|10/24/2000|01:03:33|Matthew David Platts|Square rooting complex numbers|I have heard that there are two ways of finding the square root of a complex number%2C a simple way and a difficult way. I know how to do it using a c||536|5.5034965034965|1 29|0|alexb|10/26/2000|17:50:08|Joshi, M.|r%5Es %3D rational|Dear Alex%2C%0D%0A%0D%0AWhat an interesting problem%21 There%27s just one difficulty%3A you haven%27t proved that sqrt2 raised to sqrt 2 is irrational||695|5.41456582633053|5 3|0|alexb|10/27/2000|07:34:01|olo|4x4 grid problem|im not sure where to put this because im in junior high so ill just post here %3A%0D%0Atheres a 4x4 grid with 2 dots in opposite ends%0D%0Axxx%2A%0D%0||635|5.45985401459854|5 33|0|alexb|10/27/2000|12:15:07|John|curvature of earth and horizons|If I know the mean radius of the earth%2C and the height of an object moving away from me on the ocean%2C how can I determine the exact distance at wh||488|5.52941176470588|1 34|0|alexb|10/28/2000|12:45:20|Gunther Zepf|nearly Pythagorean Triples|To each primitive Pythagorean triple PPT %28x%2Cy%2Cz%29 there exists a pair %28a%2Cb%29 of natural numbers such that .... %28the so called parameteri||1270|5.44354838709677|1 35|0|alexb|10/30/2000|08:36:14|Dan Frank|An impossible shape|Hi%2C I%27m Dan nad I have come across an impossible geometric shape. My friends and teachers have tried for days attempting to draw it but all we%27v||661|5.48639455782313|1 37|0|alexb|11/09/2000|22:43:50|liam nolosco|solving problems using the laws of sine and cosine|dear Mr.. bogomolny%2C%0D%0A%0D%0A last year you helped me with a project on the towers of hanoi. i was wondering if you could help me with my pr||457|5.5|1 38|0|alexb|11/10/2000|23:54:47|jaime & greg|cryptarithm|I am no math major%2C however I am interested in knowing the trick to solving EVE%2FDID%3D.TALKTALK... Any hints or suggestions on how I might begin t||399|5.47674418604651|1 40|0|alexb|11/11/2000|08:39:49|Lui Lok Ming|logic and max rational number|Dear Alex%2C%0D%0A%0D%0AIf A is the largest rational number %3C%3D x and B is the largest rational number %3C%3D y . where x%2Cy are real numbers. Is ||369|5.51369863013699|1 41|0|alexb|11/16/2000|01:08:14|Donna Scarborough (Guest)|Word problem|Hi%3A I wrote you back in June and asked you a math question concerning the star of David.....you probably don%27t remember%2C but I kept your email ||423|5.45578231292517|3 42|0|Tim Proctor (Guest)|11/26/2000|00:45:41|Tim Proctor (Guest)|Math Questions|I have some problems and I need to compare answers with someone. Any takers%3F E-mail me at Stealth01_03%40yahoo.com ||294|5.50314465408805|0 43|0|alexb|11/30/2000|01:50:26|Ella L. Keener (Guest)|arithmetic term|Hello%2C%0D%0A I am looking for the word that describes the operations of addition%2C subtraction%2C multiplication and division. Can you help me%||296|5.41666666666667|1 44|0|alexb|11/30/2000|12:15:53|Carissa Felde (Guest)|Need Help finding the exact equation to get E|I know the estimate is 2.718... but I need to find the exact equation. If you know please email me%21%21%21 Thanks%0D%0A||333|5.5|1 45|0|alexb|12/01/2000|11:18:25|Chung Sui Fai, Nick (Guest)|Is 1 a perfect number%3F|Dear Alex%2C%0D%0A%0D%0AI am writing for my thsis and I have written a program to test a perfect number. You must understanding that 6 and 28 are perf||334|5.53020134228188|1 46|0|alexb|12/02/2000|00:18:56|Barrie Larock (Guest)|compound interest|why does dividing the interest rate into 72 gve the number of years for an investment to double %28compounded annually%29%0D%0A %0D%0A%5Bpre%5D %0D%0A||354|5.5|1 47|0|alexb|12/05/2000|21:59:52|Doug Ulreich (Guest)|inscribed circles and squares|I%27m working on an assignment and I%27m hoping you can help me.%0D%0A%0D%0A%22What is the area of the circle inscribed in a square inscribed in a ci||312|5.5036496350365|1 51|0|alexb|12/17/2000|11:22:29|Mark Hansell (Guest)|1 %3D 2. Algebra trick%3F|First of all%2C your page is facinating... but the amount of great%0D%0Ainformation is so extensive%2C I can%27t tell if my answer is there.%0D%0AI sa||309|5.5|1 27|0|john glozier (Guest)|01/01/2001|13:01:28|gondar|probability|Hi%21 I am an occassional gambler%2C and not a mathematician. Therein lies the reason for my question... On a roulette table there are 18 black number||500|5.45911949685535|2 53|0|alexb|12/30/2000|09:36:16|Neil Sainsbury (Guest)|Circle Set|I came across this question whilst looking through previous Math%27s Competition papers. I regularily look through these and do the questions just to ||363|5.50295857988166|1 31|0|alexb|01/01/2001|23:42:11|alexb|A trigonometric inequalty|Originally the following inequality has been %5Ba href%3D%22%2Fexchange%2Ftrig_inequality.html%22%5Dposted%5B%2Fa%5D at the CTK Exchange almost 4 year||596|5.56586826347305|3 54|0|alexb|01/04/2001|10:55:05|Vincent (Guest)|Proof constructibility of regular 17-gon %28gauss%29|I%27m working on an assignment about the regular 17-gon of Gauss and I%27m looking for the proof of its contructibility.%0D%0ACarl Friedrich Gauss pub||618|5.49268292682927|3 55|0|alexb|01/05/2001|19:19:30|Irene Toussaint, Itoussaint@yahoo.com (Guest)|Calculus|Hi%2C %0D%0A%0D%0Ai have a question from calculus. This is somewhat like jeorpardy because i have the answer i just don%27t know how to get to it. O||334|5.5|1 56|0|alexb|01/10/2001|22:55:00|C-Lo (Guest)|Mathematical Induction Formulas|i need help with a mathematical induction problem...i need to develop a formula of the following series %0D%0A%0D%0Athe Sum of the set of n numbers %2||322|5.52201257861635|1 58|0|Hunter Bryce (Guest)|01/12/2001|13:19:54|Hunter Bryce (Guest)|modular arithmetic|Hi%2CI%27m a student from Glasgow struggling with a problem which you may find very easy. If you get the time I would very much%0D%0Aappreciate a repl||347|5.5|2 59|0|alexb|01/13/2001|09:19:04|Vincent (Guest)|Constructibility of solutions of quadratic equitations.|Why and how are the solutions of quadratic equitations constructible %3F%0D%0A%0D%0AHopefully the answer is as easy as the brevity of the question.%0D||305|5.46896551724138|1 61|0|alexb|01/15/2001|19:18:39|Sue (Guest)|pythagorean triples|where can i get lots and lots of pythagorean triples%3F i want pages of them%21||307|5.5|1 62|0|Type at me (Guest)|01/21/2001|16:39:09|Type at me (Guest)|Towers of hanoi|I am doing a project on this and I wnat to find a formula so it tells me how exactly to move the rings in order to get the minium amount||268|5.5|0 63|0|alexb|01/25/2001|08:58:54|chnxr (Guest)|trigo functions|hello. This is the very first question that i have posted and i sincerely hope that you will guide me along.%0D%0Athe question is%2C%0D%0Acalculate th||301|5.50769230769231|1 64|0|alexb|01/26/2001|22:35:47|Louis Ciardulli (Guest)|Binet%27s formula|Dear Sir%2C%0D%0A I am dedicated math student with a problem. I can%27t understand Binet%27s formula. If you could send me a analysis that breaks||296|5.48201438848921|1 65|0|Jade (Guest)|01/29/2001|08:20:48|Jade (Guest)|Sequential numbers|I am trying to be super mum to my teenage daughter and help her with her maths homework. I need to know why the following numbers are sequential - ple||274|5.5|0 66|0|alexb|01/30/2001|14:48:38|lorraine garcia (Guest)|Symmetric Difference|I was unsuccessful in proving that the symmetric difference is associative. All I ended up with was a huge mess. I%27d be greatful if someone would ||322|5.50335570469799|1 68|0|Jim D (Guest)|01/30/2001|14:48:38|Jim D (Guest)|What%27s a funstion%3F|What%27s a funstion%3F||418|5.5|2 70|0|alexb|02/02/2001|08:31:31|anon0411|quadratic equation|let f%28x%29 %3D ax%5E2 %2B bx %2B c%0D%0Awhere a %3E 0 and b%5E2 - 4ac %3C 0%0D%0A%0D%0Acan we say f%28x%29 %3E 0 %3C%3D%3E x belongs %5Bb%5DR%5B%2Fb||563|5.45643153526971|5 71|0|alexb|02/04/2001|07:54:38|William Hughes (Guest)|Complex roots|Is it true that the cube root of %282%2Bsqrt%28-121%29%29 %3D 2%2Bsqrt%28-1%29%3F%0D%0A%0D%0AProof%3A-%0D%0A%0D%0A%282%2Bsqrt%28-1%29%29%5E3 %3D %282%||322|5.47798742138365|1 73|0|alexb|02/04/2001|09:04:37|Ron (Guest)|Question about centroids|Dear Alex%2C%0D%0A%0D%0A I have a interesting geometry problem which I have been solving it for a few days but still ca%27t get the answer.Could you||290|5.51006711409396|1 72|0|alexb|02/04/2001|09:04:37|Ednamare (Guest)|Looking for a scientist named ptolemy|and also looking for a picture of Copernicus. Any ideas on where to find them.. I need them for my project.. Thank you %2C%2C Manny ||283|5.42857142857143|1 75|0|alexb|02/22/2001|10:47:08|thompson|Logarithms|How do I manipulate the following equation to solve for %28i%29%3A-%0D%0A%0D%0ASum %3D %28%28%281%2Bi%29%5En%29 - 1%29%2F%28i%29%0D%0A%0D%0AMany thank||286|5.44055944055944|1 77|0|DAVID HARRIS (Guest)|02/23/2001|10:02:35|DAVID HARRIS (Guest)|New Probability Website|Hi everyone%2C I teach at the International School of Toulouse.%0D%0AI%27ve designed a probability website for High School %28IB%29 students - it can ||288|5.49324324324324|0 78|0|alexb|02/24/2001|09:50:48|Dynamo|Even and odd|I have a few questions that I would like explaining please%3A%0D%0A%0D%0A1. a real valued function f%28x%29 defined over the set of all real numbers b||275|5.5|1 80|0|alexb|03/20/2001|10:24:41|Jon Coker (Guest)|Enumeration of Pythagorean triples|I am writing a TCL app to drill my son in pythagorean triples and of course got lost in the wonder of it all. %0D%0A%0D%0AI generated two families of||375|5.5|5 83|0|alexb|04/11/2001|18:02:54|D3lTaSpY|Modular Math| I am a freshman and next week I am going to the Math State in IL%2C and I%27ve been looking over the tests that were given in the past years. In the||241|5.5|1 84|0|alexb|04/14/2001|00:44:32|David S. (Guest)|.9999...%3D0%3F%3F%3F%3F|everyone i know says that .999...%3D0%2C but i dont think it does. Could someone please provide me with proof one way or another. Thanx||239|5.5|1 85|0|e_pilobello|04/22/2001|20:44:55|e_pilobello|A programmable sokoban|The game sokoban has been one of my interest. I%27ve long wanted to be able to create a %22programmable%22 sokoban. I am aware that the game is P%2F||225|5.5|0 87|0|frc|05/08/2001|18:31:39|patrick cadbury (Guest)|Spirallic lengths|suppose we have a spiral S %2C with equation r%3Da%40 %28where %40 is an angle%29.let %22S%21%22 be the section of the spiral inside the unit circle s||237|5.5|1 89|0|Ian|05/14/2001|08:32:39|jawahar|Mathematical Induction|My daughter had a question and it could not be answered by anyone. She has now already passed thru that class. but the question is still nagging me. c||234|5.5|1 91|0|alexb|05/18/2001|07:01:07|David S (Guest)|Markov Chains|Can anyone give me a reference to where i can find info about Markov Chains%3F%0D%0AOr briefly explain the premise for them%3F%0D%0AThanks%2C%0D%0AD S||232|5.5|1 88|0|Julie (Guest)|05/20/2001|12:57:44|Julie (Guest)|The book %22Straight Lines and Curves%22 by Vasilyev|I am doing a research paper investigating the relationships between conic sections and cycloids %28well that is a very general statement of what I am ||261|5.5|2 92|0|Jones, G. Derrick (Guest)|05/29/2001|22:51:50|Jones, G. Derrick (Guest)|Proof that tangent is perpendicular to radius|I was proving the %22power of a point%22 theorem %28tangent squared equals secant times outside secant%29%2C and all of the theorems that lead up to i||683|5.5|4 90|0|alexb|06/08/2001|17:43:14|garretf|math question%2C please help|two people alternate by choosing a number from 1-8. keep a running total. the object is to make the number exactly 64 on your turn. if you pick the fi||270|5.43137254901961|5 93|0|alexb|06/08/2001|07:55:44|Mohan Akula (Guest)|Prime Number or not%3F|A question stumped me often. %0D%0AA prime number is divided by 30. Prove that the remainder is also a prime number.%0D%0AGive it a shot... ||227|5.56410256410256|1 94|0|alexb|06/13/2001|20:50:42|MARIE|Mathematics - help please|I have a question. %0D%0A%0D%0ADoes the same rule apply to the difference between odd %26 even numbers.%0D%0A%0D%0AI have been told the answer is YES.||212|5.5|1 96|0|hotmathrb@aol.com (Guest)|07/11/2001|09:06:12|hotmathrb@aol.com (Guest)|new resource on the web|Check out hothmath.com. All the solutions%2C to all problems in most of the higher math books are there. REALLY%21%21 Take a LOOK%21||188||0 97|0|alexb|07/15/2001|11:39:36|John (Guest)|exp%2Flog question|%0D%0AIs there any way to find out base and exponent who%27s result%0D%0Awill be closest to a given number%3F%0D%0A%0D%0AE.g.%3A For number 82%2C it c||283||6 95|0|alexb|08/02/2001|08:03:23|paulber|Cutting the cake|I have a square birthday cake which I can only cut into triangles all having acute angles.%0D%0A%0D%0AI have 8 guests and all want a piece each%2C but||201||2 69|0|cwilder|08/07/2001|08:44:12|anon0411|equation|My question is that%0D%0Athere is system of linear equation%0D%0Ax %2B y %3D a ------ %281%29%0D%0Ax %2B y %3D b ------ %282%29%0D%0Awhere a and b are||324|5.5|2 98|0|MarvinChang|08/12/2001|23:06:56|rsm|Formula to calculate the number of jellybeans in a jar|People are asked to guess the number of jellybeans in a rectanglar jar. The jar is 11.5cm wide by 16cm long by 15.5cm in diameter. The jar narrows to ||854||2 82|0|Marvin Guinyu Chang (Guest)|08/12/2001|08:33:56|john (Guest)|circles|hi%21please help me out%3Afind the length ofthe chord cut off by y%3D2x%2B1 from the circle x2%2By2%3D 2.%0D%0Athanks||265|5.51724137931035|2 36|0|MarvinChang|08/13/2001|11:32:05|andy crowther|primary numbers|5 is a prime number%2C why do no other prime numbers end in 5 %3F%0D%0A||474|5.49454545454545|2 100|0|alexb|09/03/2001|22:03:44|jill|Cutting paper for Geometry|I need to know if there is a why to cut a regular 8 1%2F2 by%0D%0A11 piece of paper so that you can walk through it%21%21 Thanks%3E%3E%3E||187||1 101|0|alexb|09/13/2001|22:48:23|Robert Christianson (Guest)|infinite number of pythagorean triples|Pick an even number greater than or equal to 4.%0D%0A%0D%0Athis is one of the legs of your triangle%2C so write it down as side A.%0D%0Aexample - 8%0D||137||1 102|0|ineedmathhelp|09/19/2001|18:28:10|ineedmathhelp|n%28n-1%29%2F2 how was this formula found%3F|the formula n%28n-1%29%2F2 is used to find the number of angles with any given number of rays. %27n%27 is the number of rays%2C and %27a%27 is the num||127||0 103|0|alexb|09/22/2001|22:41:29|Benjy (Guest)|.999%3D1| I had some input for the problem with .999%3D1%2C but I%0D%0Awasn%27t sure how to send it to you without e-mailing. You can state the problem this w||142||1 99|0|David|10/01/2001|23:04:45|ibjoep|Pressurized gas in a donut.|I want to fill a truck innertube with air to approximately 20 psi. I want to use the smallest canister practical to hold and transport the pressurize||188||2 106|2|Colin|10/04/2001|13:35:04|Liliya|Functions|I spent quite a while to figure out the answer to this problem%2C but I just can%27t get it.%0D%0A%0D%0AA right triangle is formed in the first quadra||194||6 108|3|alexb|10/04/2001|12:52:02|David|geometry construction|Hi%2C%0D%0A%0D%0AI hope I can find this site again. It%27s awesome. If I can%27t%2C then have fun with this. If I can%2C I hope to see a reply. %0||136||1 107|3|alexb|10/04/2001|12:52:02|Lexie|Proving Statements %3A Theorems|I just don%27t understand HOW you find reasons to prove a theorem%21%21 I am in the 8th grade but taking an Algebra 1 course for high school credit. ||139||1 109|2|alexb|10/05/2001|11:40:13|retaneri|purpose of rationalizing|I would like to know what %28if any%29 purpose there is to rationalizing a fraction with square roots in the denominator%3F My AP calculus students h||224||1 110|3|alexb|10/12/2001|15:24:15|Slavik|help please|Dear friends%21%0D%0A%0D%0AWho knows how can I proof that the space of compacts with Hausdorff metric is complete metric space%3F%0D%0AThat proof seem||132||1 111|0|Khanh Nguyen|10/13/2001|12:30:09|Khanh Nguyen|Cyclic quadrilateral|%5Bol%5D%0D%0A%5Bli%5D Math problem%0D%0A%0D%0AIf 2 opposite angles in a quadrilateral are right angles we can prove%0D%0Ain geometry %28using inscrib||157||0 113|0|Liliya|10/17/2001|22:14:46|Liliya|Motion|I had an interesting problem in my science class today. Maybe someone would like to solve it.%0D%0A%0D%0AHow long is Kelly%2C a ballerina%2C in the ai||192||2 115|4|alexb|10/17/2001|20:14:04|Jessica|Interger Patterns|I was surfing the web and I saw that your web site had interger patterns on it%2C i came to it and i can not find them. Can you tell me where they are||150||1 116|0|Stelian|10/19/2001|11:09:36|Stelian|Bored with math%3F Try this%21|%5Ba href%3D%22http%3A%2F%2Fgeocentral.net%2Fgeometria%22%5DGeometria%5B%2Fa%5D is a standalone Java application in interactive geometry. With Geometr||138||0 112|0|alexb|10/27/2001|22:14:46|jopattyn|Gaussian volume integral|The function is y%3DY0.exp%28-a.x%5E2%29%0D%0AThe integral is sqr%28PI%2Fa%29%0D%0AWhat is the volume of the curve rotated around the Yaxis%3F||147||1 118|3|frc|11/10/2001|23:15:24|frc|Prove of a inequality.|I tried so many ways to prove the inequality for strictly positive reals a%2Cb and c%3A%0D%0A%0D%0A64.a.b.c.%28a%2Bb%2Bc%29%B3 %3C%3D 27.%28b%2Bc%29%||110||0 119|4|alexb|11/13/2001|23:35:31|Liliya|Sequences|Hi.%0D%0AI%27m looking for anything in science area that%27s using arithmetic or geometric sequences.%0D%0A%0D%0AI%27d appreciate your help.%0D%0AThan||113||1 50|0|greg|11/20/2001|13:41:12|Kenneth Arceo (Guest)|money problems|Remy has 25 dollars in her purse. This consists of 1 dollar bills%2C %BD dollar%2C and quarters. If the number of 1 dollar bills was 2 less than the n||307|5.56617647058824|2 120|3|alexb|11/20/2001|19:22:52|greg|golden triangle proofs|does anybody know where to find info on the greek theory of the golden triangle%3F ||106||1 121|0|alexb|11/23/2001|06:52:06|Hame|Domain|Hi Please tell me all information neede to solve questions like this %3A%0D%0A%0D%0Alog%28base2%29log%28base3%29 log %28base 4%29 X%0D%0A%0D%0AWhat is||114||1 117|2|frc|11/30/2001|12:06:23|Hame|Digit|I should write a program that could find How much digit is my number for example %3A I input 12345 it returns 5 i input 2345 it returnes 4 %0D%0Apleas||167||3 123|3|mattus|12/07/2001|20:16:57|Nutsnbolts1|Help solving a trig proof|PROVE that 1-sin a %2F 1 %2B sin a %3D 1%0D%0A||91||2 74|0|alexb|12/10/2001|16:08:38|Gus (Guest)|%281.04%29%5ET%3D4.35|What is the value of T%3F%0D%0A%0D%0AThanks%0D%0A%0D%0A||357|5.47972972972973|4 125|0|alexb|12/14/2001|17:28:35|Arthur Dent|A three way %22duel%22 %28trial%3F%29|This is a problem the math teacher gave the class I%27m in%3A you are with two acquaintances at a cocktail party. As you and your friends converse%2C ||145||1 126|3|alexb|12/14/2001|09:21:44|Becky|Maker of the Eye Opener Series|I was wondering who invented the Eye Opener Series%2C I need to know exremely soon b%2Fc it is part of my science project. If you know any useful info||85||1 114|3|Hairy|12/17/2001|20:58:41|lina|project%3Abuilding a tower|HI.%0D%0Ai need to build a tower over five feet tall out of one piece of legal sized paper and three feet of tape. I have attempted cutting the paper ||160||6 127|0|alexb|12/19/2001|19:50:56|Liliya|Sequences|Hello.%0AI%27m doing a project about arithmetic and geometric sequences. %0ACould someone tell me how many different ways are there to solve this kind||69||3 130|3|Justin|01/10/2002|17:39:18|Justin (Guest)|Geometry Proof need help|Put this proof into 2 columns%3A%0A Given%3Atriangle ABC is isosceles%0A D is the midpoint of AB%0A E is the midpoint of AC%0A Prove%3A tr||62||0 131|0|alexb|01/10/2002|17:41:58|lexacom (Guest)|Goat Problem|A Goat is tied to the perimeter of a circular field. By the end of the week the goat has eaten all the grass it can reach%2C exactly half the grass in||73||1 132|3|Scott|01/11/2002|00:22:40|Redge (Guest)|A Certain Algebraic problem...|I%27m wondering if anyone can help me out here. I was given this equation and was wondering if any of you had any idea on what to do with it%3A%0A%0A||71||2 133|3|Laocon|01/15/2002|18:21:50|Mike (Guest)|Linear Equations|A shoe store made a profit of %2414%2C510 in 1988%2C and a profit of %2421260 in 1993. Write an equation that gives the prfit%2C%28y%29%2C in terms of||90||3 134|0|Gunes|01/23/2002|23:34:42|alnoth (Guest)|squares ending with 6|im looking for a proof of a statement which i used %22believing%22 it was correct%2C tho not having a solid proof...%0A%0A20%2An %2B 10 %2B m %3D k%5E||90||10 129|3|Laocon|01/28/2002|16:21:15|Justin (Guest)|Proofs|I have a problem with one of the proofs on my homework. It is%3A Prove by indirect rpoof that the product of an even %26 odd number is even. Somebod||83||2 135|3|adam|02/05/2002|10:33:47|Lissa28|expanding binomials|I have tried to get my teacher to help but noooo%21 my problem is like this. %283q- 2%292 exponent . I am suppos||84||2 136|2|alexb|02/12/2002|19:58:23|Blake (Guest)|Proof %2311 on the|I have been looking the past week to who has done this proof and I can%27t find the person who has made this proof. I got the proof from this website.||64||1 137|3|alexb|02/19/2002|14:20:00|Dan (Guest)|Euclid%27s Pythagorean proof. VI.31|If anyone could explain this to me it would be great because I am extremely lost on where to even start with this proof. Thanks. If there is any news ||71||1 139|3|Jeff|02/20/2002|19:19:48|Jeff (Guest)|H.E Dudeney%27s Proof %23 14|If anyone can come up with an explanation of this proof that will help me in a presentation on the equations.......please respond to this ASAP with an||65||0 140|2|stuartrscott|02/25/2002|14:29:23|annie (Guest)|geom|if i have a large circle of radius R whose circumference is lined by 12 identical circles of radius r%2C how should i find the ratio of R%3Ar%3F%0ATha||68||1 141|2|stuartrscott|03/03/2002|19:02:58|nat (Guest)|algebra|After gathering a pile shells during an outdoor camp%2C five students decided to divide them evenly after a night%27s rest. During the night%2C one st||81||1 143|0|wjn|03/20/2002|16:30:06|Geoff (Guest)|Money problem|%A0%A0%A0%A0%A0%A0Need some help with this one please%3F%3F%3F%3F%3F%A0%A0%0A%A0 The mayor John and an important bachelor businessman%2C called Mark%2||84||2 144|2|alexb|03/20/2002|16:38:57|Leung (Guest)|Geometry%2FTrig using Shadows|This problem has me stumped%3A%0A%0AA meterstick %281 metre high%29 stands vertically on a horizontal surface. Its shadow is 2 metres long. At the m||63||1 122|3|stapel|03/21/2002|13:26:33|Westridge|Fibonacci Trivia|Hey Everyone%21 Does anyone know why Fibonacci signed his work with the name Blockhead%3F||225||1 128|0|Sumudu|03/25/2002|23:02:38|tongpoo|finding the derivative of n%5Ex|The derivative of f%28x%29 %3D n%5Ex is well known.%0AWhen one uses the limit method%2C f%27 is%3A%0A%0Af%27%28x%29 %3D lim %28h --%3E 0%29 %28n%5E%2||185||2