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metal sucks

http://integrals.wolfram.com/index.jsp?expr=12x*sqrt(3-x^3)&random=false :)

how would you go about solving it otherwise?

would you get OP's question in a test without the lead in?

if it's not judged by which answer is "better", then what would it be judged by? you can't have more than 1 person with the same state rank can you?

i'm quite sure you can't get it in less than 7. you have to race each horse at least once, or you'll have horses you don't know the relative placing of. and you have to race some horses more than once to get their placing relative to each other, so you need more than 5 races. I know this doesn't...

lollllllllllllllllllllllllltrivium.

(can't confirm that this is actually correct) if we have n objects, then n-1 can go in the first spot. now, say we consider the spot of the object that was just placed in the first spot. There are also n-1 objects that go in this spot. Now, we consider the spot of the object that took that...

wtf that's ridiculous. log pretty much always means base e in maths. i doubt you would lose a mark in the HSC for not including the e

are rap and hip hop considered different genres though?

no, no

as it is true for n=1 (or whatever other number) and if true for n=k it is true for n=k+1, it is true for all integers n>=1

not easily danceable not certifiably intelligent arguable as to whether it constitutes as actual music : )

(the centre point is D) OA and OB represent each of 1+sin(pi/7)+icos(pi/7) and 1+sin(pi/7)-icos(pi/7). Angles DBA and DAB = pi/7, so angles ADC and BDC = 5pi/14 as they are complementary. Each of OD, AD and BD have a modulus of 1, and so can be inscribed in a circle. From circle geo, we know...

my solution http://img167.imageshack.us/img167/6962/geotrigsolutionaj8.jpg I labelled all the angles without proving, that bit should be simple enough to figure out. I let QR = 1 so the calculations would be a less messy, but it works if you make it x or whatever just a -tad- simpler than...

17'53' and 32'07'?

PHA = polyhydroxyalkanoate PHB = polyhydroxybutanoate so PHB is a type of PHA

0 hours a night is enough right?

science is philosophy? not sure that that would be correct science = uses empirical methods, philosophy = uses thought to understand the nature of things or sumfing

let: tan -1 [(ax)/(1-bx)] = A, tan -1 [(x-b)/a] = B calculating tan(A-B) gives: ( a2x - x + b + bx2 - b2x)/(a + ax2 - 2abx) subbing in -x = -a2x - b2x gives (b(x2+1) - 2b2x)/(a(x2+1) - 2ab) = b/a (x2 + 1 - 2b)/(x2 + 1 - 2b) = b/a so tan -1 [(ax)/(1-bx)] - tan -1 [(x-b)/a] = tan-1(b/a) which...