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• 2006 AMC 12B Problems
  For real numbers <math>x</math> and <math>y</math>, define <math>x\spadesuit y = (x ...d the last two digits just happen to be my age." Which of the following is not the age of one of Mr. Jones's children?
  13 KB (2,058 words) - 12:36, 4 July 2023
• 2006 AMC 10B Problems
  For real numbers <math>x</math> and <math>y</math>, define <math> x \mathop{\spadesu ...last two digits just happen to be my age." Which of the following is <b><i>not</i></b> the age of one of Mr. Jones's children?
  14 KB (2,059 words) - 01:17, 30 January 2024
• 2007 iTest Problems
  ...han Dolores, what is the difference between Bertha’s age and the mean of my grandparents’ ages? My Frisbee group often calls "best of five" to finish our games when it's gett
  30 KB (4,794 words) - 23:00, 8 May 2024
• LaTeX:Packages
  \usepackage{package name} ...these packages can slow down the compilation of your document, so you may not want to include them unless you really need them.
  10 KB (1,581 words) - 12:57, 22 June 2024
• KGS math club
  ...save. There. If anyone can do the wiki table formatting more elegantly, be my guest; after all, this is wikiiii. ...t communicate once a box has been opened. Iff every prisoner finds his own name, they will all be released. What is the best success rate thay can achieve?
  22 KB (3,358 words) - 15:17, 18 July 2017
• 2008 iTest Problems
  However, not all units digits remain constant when exponentiated in this way. One day Jo "Shut up. I'm not sniffing the carpet. I'm doing something."
  71 KB (11,749 words) - 01:31, 2 November 2023
• Characteristic polynomial
  ...vectors of <math>T</math>, this is equivalent to saying that there exists not all zero scalars <math>v_i \in K</math> such that Let <math>x_1, x_2, \ldots, </math> be a sequence of real numbers. Consider a monic [[homogenous]] [[linear recurrence]] of the form
  19 KB (3,412 words) - 14:57, 21 September 2022
• 2011 AMC 8 Problems
  ...ults own cars and 45 adults own motorcycles, how many of the car owners do not own a motorcycle? ...f=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.42,xmax=14.59,ymin=-10.08,ymax=5.26;
  16 KB (2,371 words) - 17:34, 9 January 2024
• Mathtime Version 1 Issue 2
  ...h>n</math>, and <math>p</math> are positive integers and <math>n</math> is not divisible by the square of any prime. Find <math>m+n+p</math>. (Proposed b ...th> where <math>a</math>, <math>b</math>, and <math>c</math> are integers (not necessarily positive), find <math>a+b+c</math>. (Proposed by djmathman)
  15 KB (2,444 words) - 21:46, 1 January 2012
• 2017 AMC 8 Problems
  ...street where she lives but doesn't know her house number. She tells him, "My house number has two digits, and exactly three of the following four statem ...ly moves from one letter to an adjacent (above, below, left, or right, but not diagonal) letter. One example of such a path is traced in the picture.
  12 KB (1,771 words) - 09:41, 13 June 2024
• 2013 USAMO Problems/Problem 1
  real lsf=0.8000; real lisf=2011.0;
  14 KB (1,830 words) - 18:22, 10 May 2023
• 1965 AHSME Problems
  The number of real values of <math>x</math> satisfying the equation <math>2^{2x^2 - 7x + 5} = ...ue statement: The picnic on Sunday will not be held only if the weather is not fair. We can then conclude that:
  19 KB (2,873 words) - 18:57, 16 August 2023
• 2015 AIME I Problems/Problem 8
  ...regularly (using the old-fashioned "put one number over the other" method, not mental calculation), and observe what you do at each step. (4)The first and second digit carry over (but not the third)
  10 KB (1,797 words) - 14:06, 21 January 2024
• 2016 AIME I Problems/Problem 15
  real R1=45,R2=67*R1/37; real m1=sqrt(R1^2-23.5^2);
  14 KB (2,427 words) - 17:12, 8 January 2024
• Gmaas
  ...999999999}</math> years and counting. That's older than he is. EDIT: It is not older than he is because Gmaas is infinity years old. EDIT EDIT: He has now ...problem. EDIT: That theorem was proved by GMAAS. EDIT: GMAAS's Theorem has real-world applications: because GMAAS knows the answer to any math problem, you
  69 KB (11,805 words) - 20:49, 18 December 2019
• 1964 AHSME Problems/Problem 25
  The set of values of <math>m</math> for which <math>x^2+3xy+x+my-m</math> has two factors, with integer coefficients, which are linear in <m ...ultiplying leads to <math>4x + -3x = x</math>, which matches, so this is a real factorization.
  3 KB (515 words) - 21:35, 24 July 2019
• Basic Programming With Python
  Note that this article has lots of program examples. It is recommended (but not required) to try these on your own before looking at the solutions. ...if or elif statement receives False, the code inside of the statement does not happen.
  33 KB (5,277 words) - 22:14, 3 June 2023
• 2013 Indonesia MO Problems
  Determine all positive real <math>M</math> such that for any positive reals <math>a,b,c</math>, at leas ...he smallest <math>y</math> (in terms of <math>m</math>) such that <math>y^{my} + 1</math> is divisible by <math>2^m</math>.
  4 KB (648 words) - 00:29, 13 August 2018
• 2018 AMC 8 Problems/Problem 8
  void drawbar(real x, real h) { for (real i=1; i<5; i=i+0.5) {
  2 KB (300 words) - 09:00, 17 June 2024
• 1981 AHSME Problems/Problem 29
  If <math> a > 1</math>, then the sum of the real solutions of It's not super clear, and there's some black stuff over it, but its legible.
  3 KB (513 words) - 12:10, 18 July 2020

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