Fall+Interschool+2012

__**2012 FALL INTERSCHOOL ANSWERS**__
denominator of 1+1/3+ 1/5+1/7+...+1/59 to finish (add the two up and that's the answer). Anyone? ||  || hat ||   ||< It says "[w]hat is the meaning of life:" so my guess is either "42" or "hat" because this could have been an intentional typo. || Ashley Dotson || -or- 2010, States 2010, Calculus Individual, 8 || Ashley--> so far (2009, 2010,2011, 2012) the highest number is 8 ||<  || Ashley Dotson || General comments: -Matt: Anyone curious about how to do the Combinatorics or __#|Number__ Theory problems? I am happy to do the best I can to explain =) (at least, the ones I managed to get)
 * **Question** || **.......................................Answer............................................** || **....People working on it.....** ||< **...Progress/Obstacles...** || **...............__#|Submitted__ by...............** ||
 * Q1 || 0 ||  ||<   || Ashley Dotson ||
 * Q2 || -10 ||  ||<   || Ashley Dotson ||
 * Q3 || 3 ||  ||<   || Matt Mistele ||
 * Q4 ||  || Matt Mistele ||< I managed to get a 4th-degree polynomial with 3 nonzero coefficients, but can there be one with 2? (definitely not 1) ||   ||
 * Q5 || 1 ||  ||<   || Matt Mistele ||
 * Q6 || 19^10 - 18^10 (can that be simplified?) ||  ||<   || Matt Mistele ||
 * Q7 || 195 ||  ||<   || Matt Mistele ||
 * Q8 ||  || Matt Mistele ||<   ||   ||
 * Q9 || 8 ||  ||<   || Matt Mistele ||
 * Q10 ||  || Matt Mistele ||< Need numerator and
 * Q11 ||  ||   ||<   ||   ||
 * Q12 ||  ||   ||<   ||   ||
 * Q13 ||  ||   ||<   ||   ||
 * Q14 ||  ||   ||<   ||   ||
 * Q15 ||  ||   ||<   ||   ||
 * Q16 || (135 π^4)/2 You sure? I got 20pi/3 -Bradley ||  ||<   || Kevin Hawlik ||
 * Q17 ||  ||   ||<   ||   ||
 * Q18 || 20 ||  ||< Please check this if you have time... || John Mistele ||
 * Q19 ||  ||   ||<   ||   ||
 * Q20 || 10 ||  ||< Please check, it's a quick problem. || John Mistele ||
 * Q21 || 1004 ||  ||<   || Matt Mistele ||
 * Q22 || 246 ||  ||< someone should __#|check__ me on this. || Ashley Dotson ||
 * Q23 ||  ||   ||<   ||   ||
 * Q24 || 7 ||  ||<   || Matt Mistele ||
 * Q25 || no ||  ||<   || Max! ||
 * Q26 || 1170.93817564 ||  ||<   || Kevin Hawlik ||
 * Q27 || 2012 ||  ||<   || Matt Mistele ||
 * Q28 ||  ||   ||<   ||   ||
 * Q29 ||  ||   ||<   ||   ||
 * Q30 ||  ||   ||<   ||   ||
 * Q31 ||  ||   ||<   ||   ||
 * Q32 ||  ||   ||<   ||   ||
 * Q33 ||  ||   ||<   ||   ||
 * Q34 ||  ||   ||<   ||   ||
 * Q35 ||  ||   ||<   ||   ||
 * Q36 || 8331 ||  ||<   || Sarah Murray ||
 * Q37 ||  ||   ||<   ||   ||
 * Q38 || 50 (Not a sex-linked trait) ||  ||<   || Bradley Jackson ||
 * Q39 || (2,28,14,17) ||  ||<   || Bradley Jackson ||
 * Q40 ||  ||   ||<   ||   ||
 * Q41 ||  ||   ||<   ||   ||
 * Q42 ||  ||   ||<   ||   ||
 * Q43 ||  ||   ||<   ||   ||
 * Q44 ||  ||   ||<   ||   ||
 * Q45 ||  ||   ||<   ||   ||
 * Q46 || 8 ||  ||<   || Max! yeah, econ ||
 * Q47 ||  ||   ||<   ||   ||
 * Q48 ||  ||   ||<   ||   ||
 * Q49 ||  ||   ||<   ||   ||
 * Q50 ||  ||   ||<   ||   ||
 * Q51 || Archimedes ||  ||<   || Sarah Murray ||
 * Q52 || Leonhard Euler ||  ||<   || Sarah Murray ||
 * Q53 || The Egyptians ||  ||<   || Sarah Murray ||
 * Q54 || Isaac Newton ||  ||<   || Sarah Murray ||
 * Q55 || The Seminoles? ||  ||<   || Sarah Murray ||
 * Q56 || 625 m ||  ||<   || Zach Weed ||
 * Q57 || 3 ||  ||<   || Zach Weed ||
 * Q58 || 202.0305 [202] ||  ||< [taking the greatest integer less than 202.0305, to satisfy that [100T] thing, we get 202] || Zach Weed, [Matt Mistele] ||
 * Q59 || 630 Joules ||  ||<   || Zach Weed ||
 * Q60 || 1469.971 or 1388.338 depending on whether the ball was thrown above or below the horizontal [1469 or 1388] ||  ||< [again, they want an integer - took the greatest int function again to get the #'s in brackets] || Zach Weed, [Matt Mistele] ||
 * Q61 ||  ||   ||<   ||   ||
 * Q62 || Oakland Raiders ||  ||<   || Kevin Hawlik ||
 * Q63 || Miguel Cabrera ||  ||<   || Bradley Jackson ||
 * Q64 ||  ||   ||<   ||   ||
 * Q65 || 17 ||  ||<   || Sarah Murray ||
 * Q66 || 104729 ||  ||<   || Scott Renshaw ||
 * Q67 || 42
 * Q68 ||  ||   ||<   ||   ||
 * Q69 || Tallahassee ||  ||<   || Ashley Dotson ||
 * Q70 || Buchholz ||  ||<   || Ashley Dotson ||
 * Q71 ||  ||   ||<   ||   ||
 * Q72 || 2012, TBT 2012 Statewide, Pre-Calculus Individual, 8
 * Q73 ||  ||   ||<   ||   ||
 * Q74 ||  ||   ||<   ||   ||
 * Q75 ||  ||   ||<   ||   ||
 * Q76 ||  ||   ||<   ||   ||
 * Q77 ||  ||   ||<   ||   ||
 * Q78 ||  ||   ||<   ||   ||
 * Q79 || Gypsy, D9, H9 ||  ||<   || Bradley Jackson ||
 * Q80 ||  ||   ||<   ||   ||
 * Q81 ||  ||   ||<   ||   ||
 * Q82 ||  ||   ||<   ||   ||
 * Q83 ||  ||   ||<   ||   ||
 * Q84 ||  ||   ||<   ||   ||
 * Q85 || Yes ||  ||<   || Bradley Jackson ||
 * Q86 || Memorial Church @ Harvard ||  ||<   || Scott Renshaw ||
 * Q87 || Backyardigans (Tyrone) ||  ||<   || Sarah Murray ||
 * Q88 ||  ||   ||<   ||   ||
 * Q89 || Wilfred ||  ||<   || Sarah Murray ||
 * Q90 ||  ||   ||<   ||   ||
 * Q91 ||  ||   ||<   ||   ||
 * Q92 ||  ||   ||<   ||   ||
 * Q93 || 12 ||  ||<   || Matt Mistele ||
 * Q94 || Knave ||  ||<   || Scott Renshaw ||
 * Q95 ||  ||   ||<   ||   ||
 * Q96 || 364.4 ||  ||<   || Scott Renshaw ||
 * Q97 ||  ||   ||<   ||   ||
 * Q98 ||  ||   ||<   ||   ||
 * Q99 || otter ||  ||<   || Max! ||
 * Q100 || 2 ||  ||<   || Ramanujan ||