MaxWong

If the ratio of the volume of object A to the volume of (object A + object B) is a%

the volume of object B to the volume of (object A + object B) is b%

The density of object A is x g/cm³

The density of object B is y g/cm³

The overall density = (a%)(x)+(b%)(y)

\(\color{red}7.150=0.84b+13.77e^{-0.25b}\)

Use Wolfram Alpha for these kind of so-called difficult equation. This may be made up by your friend who wants to trick you and themselves cannot solve this neither.

\(\color{red}b = \frac{1}{84} (336 W_n(\frac{-459}{(112 e^{(\frac{715}{336})})}))\)

Wow. There came the perfect answer from Wolfram......

\(\color{red}2^x=3.17\)

\(\color{lime}x=log_2(3.17)\)

\(\color{purple}x=1.6644828403646825.....\)

\(\color{cyan}e^{1.25}= 3.490342957........\)

OMG I love LaTeX! It's awesome :P

Our guest, that's the prime factorization of 28.

Factors of 28 : 1, 2, 4, 7, 14, 28.

\(\color{red}\frac{13}{sin120}=\frac{7}{sinC}\)

\(\color{lime}13sinC=7sin120\)

\(\color{blue}sinC=\frac{7sin120}{13}\)

\(\color{purple}C= asin (\frac{7sin120}{13})\)

It doesn't look like a rainbow in this color pattern...... Never mind. C approximately equals 27.79 degrees.

The 25th term: 4 + 3(25-1) = 76

d = 2r

r = \(\color{red}\frac{d}{2}\)

The program is (input)= 5 x (output) That's not hard to realize the relationship.

6 = 5 x (output)

(output) = \(\color{brown}\frac{6}{5} \)

\(\color{blue}\frac{14}{3}= 4\frac{\color{red}2}{3}\)

The remainder is 2