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• 2017 AMC 12A Problems
  ...th>1\leq j\leq 12</math>, an element <math>z_j</math> is chosen from <math>V</math> at random, independently of the other choices. Let <math>P={\prod}_{
  15 KB (2,418 words) - 16:58, 7 November 2022
• 2017 AIME I Problems/Problem 4
  <cmath>V = Bh/3</cmath> <cmath>V = (192)(25\sqrt{3}/2)/3</cmath>
  7 KB (1,177 words) - 15:55, 5 January 2024
• 2017 USAJMO Problems/Problem 2
  <cmath>z \equiv 16 + 0 + v + 0 + w + 0 = 16 + v + w \pmod{32}, </cmath> where <math>v</math> represents <math>15\cdot 2^{2+2k}p^3</math> and <math>w</math> repre
  10 KB (1,657 words) - 19:08, 24 April 2023
• Walton Math Fest
  ...ition offered at Walton High School (Walton MathFest was a high school (JV/V) level math tournament until the 2017-2018 school year).
  1 KB (158 words) - 20:16, 9 August 2017
• Walton MathFest
  ...ition offered at Walton High School (Walton MathFest was a high school (JV/V) level math tournament until the 2017-2018 school year).
  1 KB (158 words) - 20:20, 9 August 2017
• 2017 JBMO Problems/Problem 1
  One could also construct a graph G=(V,E) with the set V of vertices (also called nodes or points) and the set E of edges (also call
  5 KB (858 words) - 00:36, 29 November 2023
• 2020 AMC 12B Problems
  <math>\quad\bullet\qquad</math> <math>V,</math> a reflection across the <math>y</math>-axis. ...beled vertices back to their original positions? (For example, <math>R, R, V, H</math> is one sequence of <math>4</math> transformations that will send
  16 KB (2,417 words) - 01:03, 28 April 2022
• British Mathematical Olympiad
  <cmath>\bar V = \frac {3a^3}{\pi r^2 h} = \frac {3r}{\pi h} \cdot \left( \frac {a}{r} \ri <cmath> \bar V = \frac {3}{\pi f^3} \le \frac {8}{9 \pi} = 0.283.</cmath>
  6 KB (1,034 words) - 10:12, 7 June 2023
• 2018 AMC 10B Problems
  path h = ellipse((0.5,0),0.45,0.015), v = ellipse((0,0.5),0.015,0.45); filldraw(shift((j,i))*v,black);
  15 KB (2,237 words) - 23:08, 15 November 2023
• 2018 AMC 10B Problems/Problem 10
  ...>. Using the formula for the volume of a triangular pyramid, we have <math>V = \frac{1}{3} \cdot \frac{1}{2} \cdot 3 = \frac{1}{2}</math>. Also, since t Plugging <math>x</math> and <math>y</math> into the formula <math>V = \dfrac{b \cdot h}{3},</math> we find that the volume is <math>\boxed{2}</
  8 KB (1,286 words) - 13:29, 21 April 2024
• 2018 AMC 10B Problems/Problem 8
  path h = ellipse((0.5,0),0.45,0.015), v = ellipse((0,0.5),0.015,0.45); filldraw(shift((j,i))*v,black);
  4 KB (609 words) - 19:49, 27 August 2023
• 1971 IMO Problems/Problem 2
  Now all these nine polyhedrons lie inside <math>2 P_1</math>. Let <math>V</math> be the volume of <math>P_1</math>.
  1 KB (242 words) - 13:55, 29 January 2021
• 1960 AHSME Problems/Problem 23
  The volume <math>V = \pi R^2H</math> is to be increased by the same fixed positive amount when
  1 KB (245 words) - 19:07, 17 May 2018
• 2018 AIME I Problems/Problem 13
  https://www.youtube.com/watch?v=sT-wxV2rYqs ...AC = b, AB = c, x_1 = BX, x_2 = CX, \frac{c+t}{x_1} = u, \frac{b+t}{x_2} = v.</math>
  13 KB (2,200 words) - 21:36, 6 January 2024
• 2018 AIME I Problems/Problem 12
  ..., we can always choose <math>3-r</math> as the remainder for our set <math>V</math>, giving us a total of <math>r + 3 - r \equiv 0 \pmod{3}</math>. The
  26 KB (4,044 words) - 13:58, 24 January 2024
• 2018 AIME I Problems/Problem 11
  <cmath>v_{13}(27^m-1^m)=v_{13}(26)+v(m)=1+v(m), 3m = n</cmath> which clearly implies <math>m=13</math> and <math>39 | n
  10 KB (1,448 words) - 06:30, 21 April 2024
• 2018 AIME II Problems/Problem 1
  ...<math>1800-x</math>. Since Eve is the slowest, we can call her speed <math>v</math>, so that Ina's speed is <math>2v</math> and Paul's speed is <math>4v ...e of <math>1800-x</math> which takes them a time of <math>\frac{1800-x}{4v+v}</math>. Paul must run the same distance back to <math>B</math>, so his tot
  3 KB (516 words) - 03:25, 16 January 2023
• Dot product
  ...ots, v_n), \vec{w} = (w_1, \cdots, w_n)</math> is defined to be <math>\vec{v}\cdot\vec{w} = \sum_{i=1}^n v_i w_i</math>. The dot product is [[linear|bil ...el, from which the identity <math>\vec{v} \cdot \vec{v} = \left \Vert \vec{v} \right \Vert ^2</math> follows.
  1 KB (199 words) - 23:10, 19 February 2022
• 1973 AHSME Problems/Problem 27
  ...B travels half the time at <math>u</math> miles per hour and half at <math>v</math> miles per hour. The average speed of Car A is <math>x</math> miles p <cmath>y = \frac{u+v}{2}</cmath>
  2 KB (396 words) - 19:03, 22 June 2021
• 2004 Indonesia MO Problems/Problem 2
  Let the volume of the trough be <math>V</math> liters. Also, let the rate of the cold water tap be <math>C</math> <cmath>V = 21E</cmath>
  1 KB (268 words) - 16:32, 28 July 2018

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