ElectricPavlov

Inversely proportional means that 

y = k/x        when x = 1 and y = 2  this becomes 

2 = k/1      which shows k = 2 

so the relationship is then    y = 2/x 

     then when x = 2     

              y =  2/2

              y =1 

Siva walks 1 side length (10)  and two diagonal lengths 

The diagonal length can be found using the Pythagorean Theorem 

d^2 = s^2 + s^2 

d^2 = 10^2 + 10^2 

d^2 = 200

d = sqrt 200 = 14.14                        so total walking distance is   10 +  2 * (14.14) = 38.3 feet

There are 25 possible choices  ( w = with)  

 1    w    1 2 3 4 5 

 2    w    1 2 3 4 5

 3    w    1 2 3 4 5 

 4    w    1 2 3 4 5

 5    w    1 2 3 4 5               the bold choices produce a product 4 or greater     20 out of 25 choices    is  20/25 =  4/5 = .80 = 80 % 

                                                                                                                                                                              ( pick your format)  

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