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  • == Problem == ...in which the trio sits together (as a single entity). There are <math>3! = 6</math> ways to determine their order, and there are <math>(23-1)! = 22!</ma
    9 KB (1,392 words) - 20:37, 19 January 2024
  • == Problem == There are <math>6</math> possible sequences.
    5 KB (855 words) - 20:26, 14 January 2023
  • == Problem == ...>2s</math>. All other edges have length <math>s</math>. Given that <math>s=6\sqrt{2}</math>, what is the volume of the solid?
    5 KB (865 words) - 21:11, 6 February 2023
  • == Problem == draw((-2.6,0)--(-2.6,0.6));
    2 KB (412 words) - 18:23, 1 January 2024
  • == Problem == ...example, the alternating sum for <math>\{1, 2, 3, 6,9\}</math> is <math>9-6+3-2+1=5</math> and for <math>\{5\}</math> it is simply <math>5</math>. Find
    5 KB (894 words) - 22:02, 5 April 2024
  • == Problem == In the adjoining figure, two circles with radii <math>8</math> and <math>6</math> are drawn with their centers <math>12</math> units apart. At <math>P
    13 KB (2,149 words) - 18:44, 5 February 2024
  • == Problem == ...h>. Suppose that the radius of the circle is <math>5</math>, that <math>BC=6</math>, and that <math>AD</math> is bisected by <math>BC</math>. Suppose fu
    19 KB (3,221 words) - 01:05, 7 February 2023
  • == Problem == D(A--B--C--cycle); D(A+(B-A)*3/4--A+(C-A)*3/4); D(B+(C-B)*5/6--B+(A-B)*5/6);D(C+(B-C)*5/12--C+(A-C)*5/12);
    4 KB (726 words) - 13:39, 13 August 2023
  • == Problem == == Solution 6 ==
    6 KB (863 words) - 16:10, 16 May 2024
  • == Problem == [[Image:1984_AIME-6.png]]
    6 KB (1,022 words) - 19:29, 22 January 2024
  • == Problem == Open up a coding IDE and use recursion to do this problem. The idea is to define a function (I called it <math>f</math>, you can call
    4 KB (617 words) - 22:09, 15 May 2024
  • == Problem == The equation <math>z^6+z^3+1=0</math> has complex roots with argument <math>\theta</math> between
    3 KB (430 words) - 19:05, 7 February 2023
  • == Problem == draw(surface(A--B--C--cycle),rgb(0.6,0.7,0.6),nolight);
    6 KB (947 words) - 20:44, 26 November 2021
  • == Problem == ...>s, we are placing the extra <math>3</math> <math>n</math>s into the <math>6</math> intervals beside the <math>b</math>s.
    7 KB (1,115 words) - 00:52, 7 September 2023
  • == Problem == ...either <math>0 \bmod{6}</math>, <math>2 \bmod{6}</math>, or <math>4 \bmod{6}</math>. Notice that the numbers <math>9</math>, <math>15</math>, <math>21<
    8 KB (1,346 words) - 01:16, 9 January 2024
  • == Problem == ...math> \frac{x^2}{6^2-1}+\frac{y^2}{6^2-3^2}+\frac{z^2}{6^2-5^2}+\frac{w^2}{6^2-7^2}=1 </math><br /><math> \frac{x^2}{8^2-1}+\frac{y^2}{8^2-3^2}+\frac{z^
    6 KB (1,051 words) - 04:52, 8 May 2024
  • == Problem == === Solution 6 ===
    6 KB (1,122 words) - 12:23, 6 January 2022
  • == Problem == [[Image:AIME 1985 Problem 15.png]]
    2 KB (245 words) - 22:44, 4 March 2024
  • == Problem == ...0 = n^2 + 19n + 90</math> and <math>n^2 -21n + 90 = 0</math> and <math>n = 6</math> or <math>n = 15</math>. Now, note that the top <math>n</math> playe
    5 KB (772 words) - 22:14, 18 June 2020
  • == Problem == <cmath>\begin{alignat*}{6}
    17 KB (2,837 words) - 13:34, 4 April 2024

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