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  • *[[Go Figure]] -- Math contest for grades 7 through 12. *[[Go Figure]] -- Math contest for grades 7 through 12.
    1 KB (142 words) - 12:40, 24 September 2020
  • ...n't know the Fundamental Theorem of Calculus yet, and would like to try to figure it out. (Actually there are two different but related Fundamental Theorems ...<math>{t}</math> is <math>t^3</math> m/s. Exactly how far does the object go between times <math>t=2</math> sec and <math>t=5</math> sec? Interpret thi
    11 KB (2,082 words) - 14:23, 2 January 2022
  • ...a negative sign to a number (say 4, for example), we are basically saying go four units in the ''opposite'' direction. We want to do the opposite of mul Try to figure out <math>b^{\frac{2}{3}}</math> -- how does it relate to <math>b^{\frac{1}
    5 KB (803 words) - 15:25, 10 August 2020
  • Each of the small circles in the figure has radius one. The innermost circle is tangent to the six circles that sur Mr. Earl E. Bird gets up every day at 8:00 AM to go to work. If he drives at an average speed of 40 miles per hour, he will be
    12 KB (1,792 words) - 12:06, 19 February 2020
  • ...nt of <math>y</math> is <math>3</math>, the exponent of <math>z</math> can go up to <math>2002</math>, so there are <math>1002</math> terms. We now need to figure out how many of the terms have <math>a</math> as a odd number. We know that
    8 KB (1,332 words) - 16:37, 17 September 2023
  • ...e]]s <math>t_{1}</math>, <math>t_{2}</math>, and <math>t_{3}</math> in the figure, have [[area]]s <math>4</math>, <math>9</math>, and <math>49</math>, respec By the transversals that go through <math>P</math>, all four triangles are [[similar triangles|similar]
    4 KB (726 words) - 12:39, 13 August 2023
  • ...2^{6-0}</math> ways to distribute the remaining elements--each element can go in one subset or the other. We must also divide by <math>2</math> because t ...ld use casework, being very careful not to double count cases. Let's first figure out what cases we need to look at. The notation I will be using is <math>x\
    9 KB (1,400 words) - 13:09, 12 January 2024
  • ...at fraction of the entire function that piece represents. It's possible to go right for the smallest possible piece that'll help us by letting <math>a =
    7 KB (1,225 words) - 18:56, 4 August 2021
  • ...h>, and <math>(28,84)</math>. A [[line]] through the [[origin]] cuts this figure into two [[congruent]] [[polygon]]s. The [[slope]] of the line is <math>m/ ...y see that a line that cuts a parallelogram into two congruent pieces must go through the center of the parallelogram. Taking the midpoint of <math>(10,4
    3 KB (423 words) - 10:06, 27 April 2023
  • ...ee that <math>x+y = 4 + 2\sqrt{xy}</math>. From trying a simple example to figure out conditions for <math>x,y</math>, we want to find <math>x-y</math> so we ...y. Thus we get that <math>y</math> can go up to 999 and <math>x</math> can go down to <math>3</math>, leaving <math>997</math> possibilities for <math>x,
    6 KB (966 words) - 10:31, 24 June 2024
  • The second is found to be extraneous, so, when we go back and figure out <math>x</math> and then <math>2x</math> (which is the side length), we
    6 KB (1,043 words) - 09:09, 15 January 2024
  • ...ell. Therefore <math>O_bO_cE_bE_c</math> is a rectangle, which is a cyclic figure. The diagonals <math>O_bE_b</math> and <math>O_cE_c</math> are diagonals of ...> the centroid of <math>\triangle AHZ, G = ZD \cup HO \implies \frac {HG} {GO} = 2 \implies</math>
    6 KB (994 words) - 15:02, 12 March 2024
  • ...and <math>-\frac{b}{a}</math>. Now, we can use the function we deduced to figure out some of its properties when: ...Complex numbers are a bit harder to address than real numbers, so I won't go into depth on complex domain/range (You don't need to, as this is a 2003 qu
    9 KB (1,606 words) - 10:34, 10 July 2020
  • # Go to [https://github.com/ArtifexSoftware/ghostpdl-downloads/releases github.c Now open TeXnicCenter. Go to the Tools menu and click Customize, then go to the Tools tab. Click to modify your Asymptote tool that you made in the
    12 KB (1,931 words) - 12:53, 26 January 2020
  • ...math> equal-sized [[Square (geometry)|square]] cells.<math>{}^1</math> The figure below shows an 8-cell animal. ...]]s. Just remove an edge in the loop. We are still connected since you can go around the other way in the loop. Now we have no loops. Each vertex can hav
    10 KB (1,878 words) - 13:56, 30 June 2021
  • In the figure, <math>ABCD</math> is a <math>6\times 6</math> square with centre <math>O</ ...rt from the top square containing the number <math>3</math>. In each step, go to either of the two squares immediately below. Stop when the bottom row is
    11 KB (1,738 words) - 18:25, 10 March 2015
  • ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */ Two squares of different sizes overlap as shown in the given figure. What is the difference between the non-overlapping areas?
    15 KB (2,057 words) - 18:13, 10 March 2015
  • Two squares of different sizes overlap as shown in the given figure. What is the difference between the non-overlapping areas? ...ra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra */
    2 KB (198 words) - 13:20, 20 April 2014
  • ...rted figure's Cartesian Plane Equivalent. Then simply continue on with the figure shown in the below solution.
    6 KB (894 words) - 17:56, 25 December 2022
  • ...th>F_3</math> has <math>13</math> diamonds. How many diamonds are there in figure <math>F_{20}</math>? In the figure <math>F_n</math>, the blue diamonds form a <math>n\times n</math> square, a
    5 KB (759 words) - 15:48, 19 April 2022

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