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  • find <math>x+y+z</math>. ...are walking along the beach when they decide to draw symbols in the sand. Alex draws only stars and only draws them in pairs while Joshua draws only squar
    71 KB (11,749 words) - 01:31, 2 November 2023
  • ...) + 6 \cos^2(y+z))</math>, the largest possible value of <math>3\cos^2(x+y+z)</math> can be expressed in the form <math>\frac{a+b\sqrt{c}}{d}</math>, wh ...0 pieces. Mitchell knows Alex well enough to determine with certainty that Alex will either be immature and pick 69, or be clichéd and pick 42. How many i
    7 KB (1,150 words) - 09:10, 8 October 2018
  • ...h>b</math> are relatively prime positive integers, find <math>a+b</math>. (Alex Zhu) ...t nonzero digits of the product of the coefficients of <math>P(x)</math>. (Alex Zhu)
    36 KB (6,214 words) - 20:22, 13 July 2023
  • ...468</math>. Find <math>\sqrt {(\log_{10}x)^2 + (\log_{10}y)^2 + (\log_{10}z)^2}</math>. ...xists a complex number <math>w</math> such that the three roots of <math>P(z)</math> are <math>w+3i</math>, <math>w+9i</math>, and <math>2w-4</math>, wh
    8 KB (1,246 words) - 21:58, 10 August 2020
  • ...nd Mel is twice as likely to win as Chelsea. What is the probability that Alex wins three rounds, Mel wins two rounds, and Chelsea wins one round? .... The two circles meet at <math>X</math> and <math>Y</math>. Point <math>Z</math> in the exterior of <math>C_1</math> lies on circle <math>C_2</math>
    14 KB (2,197 words) - 13:34, 12 August 2020
  • ...e tokens until no more exchanges are possible. How many silver tokens will Alex have at the end? <cmath> P(z)=z^n+c_{n-1}z^{n-1}+\cdots+c_2z^2+c_1z+50, </cmath>
    16 KB (2,459 words) - 02:46, 30 January 2021
  • Four siblings ordered an extra large pizza. Alex ate <math>\frac15</math>, Beth <math>\frac13</math>, and Cyril <math>\frac1 <math>\textbf{(A) } \text{Alex, Beth, Cyril, Dan}</math>
    14 KB (2,247 words) - 11:38, 26 March 2024
  • ...ach person has forms an arithmetic progression. Find the number of peanuts Alex had initially. Let <math>x,y,</math> and <math>z</math> be real numbers satisfying the system
    8 KB (1,312 words) - 21:16, 3 March 2021
  • f(x, y, z) = xyz + 49(x + y + z) + 1337 r, s, t, u, v, w, x, y, and z such that
    14 KB (2,904 words) - 18:24, 16 May 2017
  • ...eter and <math>6</math> cm high. What is the ratio of the volume of one of Alex's cans to the volume one of Felicia's cans? pair x, y, z, trans;
    17 KB (2,585 words) - 15:27, 4 May 2024