i think it means that each letter represents a number, and because in maths using letters, you don't need to use the x sign so in simple terms it would mean 3 x b x m x s x h x t x r (x=times symbol) so, say b=1 m=2 s=3 h=4 t=5 r=6 then. 3x1x2x3x4x5x6 = 90 and that's what i think it means./ XxX hope it helps
I am guessing there is a missing plus sign and you want to factor mr + ns - nr - ms. If so , mr -ms + ns - nr = m(r - s) - n( r -s ) = (r - s) (m - n)
Prove: [ P -> Q AND R -> S AND (P OR R) ] -> (Q OR S) -> NOT, --- 1. P -> Q ___ hypothesis 2. R -> S ___ hypothesis 3. P OR R ___ hypothesis 4. ~P OR Q ___ implication from hyp 1. 5. ~R OR S ___ implication from hyp 2 6. ~P OR Q OR S ___ addition to 4. 7. ~R OR Q OR S ___ addition to 5. 8. Let T == (Q OR S) ___ substitution 9. (~P OR T) AND (~R OR T) ___ Conjunction 6,7 10. T OR (~P AND ~R) ___ Distribution from 9 11. T OR ~(P OR R) ___ De Morgan's theorem 12. Let M == (P OR R) ___ substitution 13. (T OR ~M) AND M ___ conjunction 11, hyp 3 From there, you can use distribution to get (T AND M) OR (~M AND M). The contradiction goes away leaving you with T AND M, which can simplify to T.
7.4 10-3
Given the graphic capability of this site, you are going to have to use some imagination! <---------a---------> <---a-b---><--b--> +-----------+-------+ |...............|..........| |.......P......|....Q...| |...............|..........| +-----------+-------+ |.......R......|....S....| |...............|..........| +-----------+-------+ In the above graphic, P, S and the whole figure are meant to be squares. The total area is P+Q+R+S = a2 P = (a-b)2 Q = b*(a-b) = (a-b)*b = a*b - b2 R = (a-b)*b = a*b = a*b - b2 and S = b2 Now, P = {P+Q+R+S} - Q - R - S = a2 - ab + b2 - ab + b2 - b2 = a2 - 2ab + b2
I think the question is wrong - it should be 3 B M S H T R The answer is 3 blind mice see how they run.
3 blind mice see how they run.
3 blind mice, see how they run
Well, the graphical way is to do this: Dresses: A B C Belts: K L M Shoes: R S T You can have: A K R A K S A K T A L R A L S A L T A M R A M S A M T That is a total of 9 options for dress A. So you know this will be repeated for dresses B and C That's a total of 27 combinations. Which is the same as 3 * 3 * 3 ... 27 ;-)
Suppose the points are P = (r,s) and Q = (t,u) Then gradient of PQ = (u - s)/(t - r) = m, say. Let Z = (x,y) be any point on the line. Then gradient ZP also = m that is (y - s)/(x - r) = m Equating the two expressions for m, (y - s)/(x - r) = (u - s)/(t - r) or y - s = (x - r)*(u - s)/(t - r) y = (x - r)*(u - s)/(t - r) + s = x*m - r*m - s This is of the form y = mx + b, where m is as defined above and b = -r*m + s
This word is spelt: E-M-B-A-R-R-A-S-S-E-D
N - U - M - B - E - R - S.
Yes. a/b / u/v / r/s = (a*v)/(b*u) / r/s = (a * v * s) / (b * u * r)
M-y h-o-b-b-i-e-s a-r-e
Holy cow what the heck does that mean?! i s o y m b u h t a e i r y s
Codename Kids Next Door - 2002 Operation A-R-C-H-I-V-E- Operation S-L-U-M-B-E-R- 3-6 was released on: USA: 23 July 2004
3 blind mice ( see how they run)