It's 53.
\(5\dfrac{12}{16}\div 6\\ =5\dfrac{3}{4}\div 6\\ =\dfrac{23}{4}\div 6\\ =\dfrac{23}{4}\times \dfrac{1}{6}\\ =\dfrac{23}{24}\)
\(\dfrac{1}{2}\left(64(\cos^2\theta-\sin^2\theta)+\csc^2\theta\right)\\ =\dfrac{1}{2}\left(\dfrac{64\sin^2\theta\cos^2\theta-64\sin^4\theta+1}{\sin^2\theta}\right)\\ =\dfrac{1}{2}\left(\dfrac{64\sin^2\theta(1-\sin^2\theta)-64\sin^4\theta+1}{\sin^2\theta}\right)\\ =\dfrac{1}{2}\left(\dfrac{64\sin^2\theta-64\sin^4\theta-64\sin^4\theta+1}{\sin^2\theta}\right)\\ =\dfrac{1}{2}\left(\dfrac{-128\sin^4\theta+64\sin^2\theta+1}{\sin^2\theta}\right)\\\)
It's not correct, totally.
You get everything done with a handy calculator :D
2234343 * 4444 = 9,929,420,292
nine billion, nine hundred and twenty nine million, four hundred and twenty thousand two hundred and ninety two.
0.125 = 1/8
So 5.125 = 5 + 1/8 = 40/8 + 1/8 = 41/8 :)
There is a mistake...
Correct one : \(e^{ix}=\cos x + i\sin x\)
log 8 = 3 log 2
log 1/9 = -2 log 3
sin 30 = 1/2
tg^2 60 = 3
Therefore whole thing becomes: 3 log 2 * 1/2 + (-2 log 3)(3) = (3 log 2)/2 - 6 log 3
\(12 = \dfrac{6}{7x}\\ 84x = 6\\ x = \dfrac{6}{84} = \dfrac{1}{14}\)
"You square stuff by multiplying a number to itself" ~My mom, said in 2009.(Yes, my mom taught me some math!)
Example:
5^2 = 5 * 5 = 25.
2.5^2 = 2.5 * 2.5 = 6.25. <--- That is done by a calculator XD
11^2 = 11 * 11 = 121. :D
Negative probability?
Must be something wrong. Check your steps!
Note: This is why steps are important.
