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• Aops font
  | <span class="aops-font">V</span> | V
  6 KB (924 words) - 21:31, 22 February 2024
• 2015 AMC 8 Problems/Problem 17
  For starters, we identify d as distance and v as velocity (speed) ...equation gives us: <math>\frac{d}{v}=\frac{1}{3}</math> and <math>\frac{d}{v+18}=\frac{1}{5}</math>.
  4 KB (608 words) - 17:05, 17 January 2024
• 2016 AMC 12B Problems/Problem 8
  ...e, we can set up a proportion based on the principle that <math>d=\frac{m}{V}</math>, thus <math>dV=m</math>.
  2 KB (325 words) - 14:21, 19 January 2021
• Gmaas
  231. Gmaas once demanded Epic Games to give him 5,000,000 V-bucks for his 569823rd birthday. EDIT: This is why Gmaas no longer has an E
  69 KB (11,805 words) - 20:49, 18 December 2019
• 2016 USAJMO Problems/Problem 1
  pair V = incenter(A,C,P); dot("$I_C$", V, NW);
  5 KB (1,004 words) - 15:15, 28 June 2020
• 2016 USAMO Problems/Problem 3
  <math>V</math> is the foot ot perpendicular from <math>O</math> to <math>AI_A.</mat
  6 KB (998 words) - 21:36, 17 October 2022
• 1983 AHSME Problems/Problem 29
  ...</math> to <math>A, B</math> and <math>C</math>, respectively, be <math>u, v</math> and <math>w</math>. ...est distance that <math>P</math> can be from <math>D</math> if <math>u^2 + v^2 = w^2</math>?
  1 KB (255 words) - 01:11, 20 February 2019
• Mock AIME 4 Pre 2005/Problems
  ...<math>\overline{MS}</math> intersects <math>\overline{OP}</math> at <math>V</math> . If <math>AB = 2,</math> <math>BC = 2005,</math> <math>CD = 4,</mat
  7 KB (1,094 words) - 15:39, 24 March 2019
• Mock AIME 3 2010 Problems
  r, s, t, u, v, w, x, y, and z such that n + l + v − y = 0
  14 KB (2,904 words) - 18:24, 16 May 2017
• 2017 AMC 12A Problems/Problem 25
  The vertices <math>V</math> of a centrally symmetric hexagon in the complex plane are given by <cmath>V=\left\{ \sqrt{2}i,-\sqrt{2}i, \frac{1}{\sqrt{8}}(1+i),\frac{1}{\sqrt{8}}(
  18 KB (2,878 words) - 01:47, 16 December 2023
• 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
• 1973 AHSME Problems/Problem 5
  Of the following five statements, I to V, about the binary operation of averaging (arithmetic mean), <math>\text{V. Averaging has an identity element }</math>
  2 KB (432 words) - 13:57, 20 February 2020
• 1988 IMO Problems
  ...positions of the midpoints <math> U</math> of <math> BA</math> and <math> V</math> of <math> AC</math> as <math> \angle OPA</math> varies?
  3 KB (499 words) - 13:29, 2 August 2021
• 2020 AMC 10B 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 (2,497 words) - 21:14, 12 November 2023
• 2018 Putnam B Problems
  ...P}\setminus\{\mathbf{v}\}</math> obtained by omitting vector <math>\mathbf{v}</math> from <math>\mathcal{P}</math> can be partitioned into two sets of e
  2 KB (369 words) - 23:35, 21 April 2019
• 2018 Putnam B Problems/Problem 1
  ...P}\setminus\{\mathbf{v}\}</math> obtained by omitting vector <math>\mathbf{v}</math> from <math>\mathcal{P}</math> can be partitioned into two sets of e
  531 bytes (88 words) - 23:37, 21 April 2019
• 2019 AMC 12B Problems/Problem 10
  ...egree of <math>V</math> (i.e. the number of edges coming into/out of <math>V</math>). This is because to visit any of these vertices, we would have to e ...isit each vertex <math>M(V)</math> times, and must traverse <math>2\cdot M(V)</math> edges connected to each vertex. Specifically, we must traverse all
  8 KB (1,306 words) - 22:18, 1 February 2020
• 2019 AIME II Problems/Problem 4
  'v'
  19 KB (2,942 words) - 21:22, 21 January 2024
• 2020 AIME I Problems/Problem 14
  Let <math>P(3)=u</math> and <math>P(4) = v</math>. Substituting <math>x=3</math> and <math>x=4</math> into the above q u &= (3-u)(3-v) = 9 - 3u - 3v + uv\\
  10 KB (1,819 words) - 19:34, 17 September 2023
• Rubiks cube
  ...ngineer Panagiotis Verdes figured out how to make 6×6 and 7×7 cubes. The V-Cube 6 (a 6x6x6 Rubik’s cube) has 157 152 858 401 024 063 281 013 959 519 The 7x7x7 Rubik’s cube (the V-Cube 7) has 19 500 551 183 731 307 835 329 126 754 019 748 794 904 992 692
  5 KB (518 words) - 16:53, 19 February 2024
• Classical Mechanics
  <math>\delta x'(t)=v(t)</math> <math>v'(t)=a(t)</math>
  3 KB (423 words) - 12:58, 8 July 2019
• Height
  ...he base's area, and h is the height's length; for a pyramid, we have <math>V=\frac{1}{3}Bh</math>.
  1 KB (207 words) - 01:39, 15 January 2020
• GMAAS
  231. Almighty Gmaas once demanded Epic Games to give him 5,000,000 V-bucks for his 569823rd birthday. EDIT: This is why Almighty Gmaas no longer
  85 KB (13,954 words) - 17:25, 22 March 2024
• 2020 AMC 10A Problems/Problem 12
  label("V", (2, 6), NE); label("V", (2, 6), NE);
  11 KB (1,707 words) - 17:10, 1 April 2024
• 2020 AMC 10B Problems/Problem 23
  <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
  10 KB (1,653 words) - 23:33, 3 August 2023
• 2020 AMC 10B Problems/Problem 10
  ...of a cone is <math>\frac{1}{3}\pi r^{2}h</math>. Plugging in we find <math>V = 3\pi \sqrt{7} \implies \boxed{\textbf{(C)}}</math>
  3 KB (493 words) - 16:14, 11 September 2023
• 2020 AMC 12B Problems/Problem 7
  ...the origin and select a point on each line to define vectors <math>\mathbf{v}_{i}=(x_{i},y_{i})</math>. <cmath>\mathbf{v}_1\cdot\mathbf{v}_2 = v_{1}v_{2}\cos\theta \quad\mathrm{and}\quad
  5 KB (895 words) - 15:03, 8 June 2023
• 2020 AMC 12B Problems/Problem 13
  <li><math>\log_b{(uv)}=\log_b u + \log_b v.</math></li><p>
  5 KB (680 words) - 16:40, 22 April 2024
• AMC 12C 2020 Problems
  Let <math>V</math> and <math>F</math> be the vertex and focus of the Parabola <math>P(x
  8 KB (1,223 words) - 15:02, 27 November 2022
• 1954 AHSME Problems/Problem 45
  ...an upright V.}\\ \textbf{(D)}\ \text{Two line segments forming an inverted V.}\\ \textbf{(E)}\ \text{None of these.}</math>
  1 KB (193 words) - 10:42, 6 July 2020
• F = MA 2020 (Mock) Problems
  ...d a horizontal circle of radius <math>r</math> with a constant speed <math>v</math>, in a conical pendulum. The center of the circle is vertically below ...ath>16 kg</math> which slides at a speed of <math>v</math>, with <math>u > v</math>. Block A slides east while Block B slides in west. The surface has c
  2 KB (439 words) - 11:52, 1 August 2020

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