ElectricPavlov

It is green for   40 out of  (40+5+35) seconds = 40 out of 80 seconds 

   the probability that  you see green  watching it for 75 seconds means

                            you will see green in that  75 seconds EVERYTIME  or  100 %   ....there is no 75 seconds where it is not going to have at least a portion of a green phase.

1,0     0,1     and   0,0    would produce a triangle with area = 1/2 

Well, 

2 ( 5+3) = 16     so   q   or  r  could be    5 or 3 

Break it into 4 pieces as shown:

 1^1 + 2^2 + 3^4 + 4^8    = 

  1   +   4   +  81  +  65536 =   65622          Units digit = 2 

He first circles '2'    then circles the powers of 2 :  cirlces 4   circles  8  

He then circles '3'   then circles the powers of 3 :  circles 9 

He then circles '4'    no powers of 4 are on the list so no circles   and :

He then circles 5    then 6  ,7  ,10 ,11, 12 , 13 , 14  and lastly   '15 '

Now, he starts crossing:

   He  crosses off 15    then 14 , 12, 10 , 8 , 6, 4, ,2

    He then crosses off 13    then crosses off 11 , 9 ,7,5,and lastly '3'   

Last circled = 15     last crossed = 3           3 X 15 = 45 

First, reduce/simplify the quadratic to:

-x^2 -25x +4      This is a dome shaped parabola 

put it into vertex form to find the highest point

-1 ( x^2 + 25x) =  y -4 

-1 ( x+12.5)^2   = y-4 - 156.25

-1 ( x+12.5)^2  = y + 160.25          shows vertex is   -12.5, 160.25

So the y-values this parabola can have ( the range)   is     ( - inf, 160.25]             

I believe that would be '16' with factors   1 2 4 8 16 

North = 0 degrees 

   turn 45 degrees R    then 45 degrees L  and it is agan facing north .....then turn 'x' = 180 degrees to face south

See image below:

630 divided by 42 = 15     the other two integers, when multiplied = 15    so  either they are   3 and 5   or   1 and 15 

(d-7) = 9 (g-7)     Given

(d-4) = 6 (g-4)      Given       <==== solve for   g= (d+20)/6     <==== use THIS in the first equation 

d-7 = 9 ( (d+20)/6   - 7)       Solve for   d

d-7 = (9d+180)/6 - 63 

d+56 = (9d+180)/6 

6d + 336 = 9d + 180 

156 = 3d 

d = 52 y/o  now