CPhill

I assume you want to find P(A')...this just equals 1  - P(A) = 1 - .43  = .57

A straight angle measures 180 degrees. If the first angle is 50 degrees, its supplement is 180-50 = 130 degrees

2 to the power 30 / 8 to the power 9

Note that 8 = 2^3

So we have

2^30 / (2 ^3)^9  =

2^30 / 2^27  =   2^(30 - 27)  = 2^3  = 8

ln (e)^sin(x   by a property of logs, we have

(sin x) * ln e      and lne = 1

So

(sin x) * 1   = sin x

2x+2=5x-3    Add 3 to both sides and subtract 2x from both sides

5 = 3x          Divide both sides by 3

5/3 = x

Notice that

2^n+1 - 2^n =

2^n(2 - 1) = 2^n(1) = 2^n

So

2^5000 - 2^4999 =

2^4999(2 -1) =  2^4999

Very nice, Melody........no Calculus required !!!!

Thanks, Alan......

This says that 10^.61 = x

So x = about 4.0738