ElectricPavlov

60/(27+60) = 80/(80 + 2x)     solve for x

10th term + 5 d = 15th term

39 + 5d = 59

d = 4

 10th term - 9d = first term

  39    - 9(5) = .......

1/160 x 10^-6  = 6250 hz    =   6.25 kHz

Not sure about Sampling Theorem but I THINK the highest would be   6.25 kHz/2 = 3.125 kHz  Highest freq in signal

2⁷  = 128  so you will need 7 bits to represent

     7 bits x 6.25 x 10³  samples =   43750 bits per second   =   4.38 x 10⁴  bits per second

10% of original flight time = 30 min

100% of original flight = 300 min =  5 hours     

to paint one house   requires    4 people x 6 hours  =  24 people hours  to paint the house

        if you have only three people     it will take 8 hours      (to get 24 people hours)

-6 - -10  =   - 6 + 10   = 10 - 6 =  4

You are shown two points on the line      label one of them  '1'  abd the other  '2'   (it does not matter which one you label what)

     slope is then    (y1-y2)/(x1-x2)    this is the same as   rise / run    

Let x = 6th term        4th term is x-2d         8th is x+2d        10th is  x + 4d

    8th + 4th = 24

  x-2d   +   x +2d  = 24

         2x = 24

           x = 12 

6th + 10th = 44

x + x + 4d = 44

2x+4d = 44

x + 2d = 22     12 + 2d = 22    so d = 5        6th term = 12    d = 5       can you take it from here?

y = 28x  + 0

There is a 'side rule' that states any two sides of a triangle must be greater in sum than the third side  

x   could be   11  10   9  8   7   6  5        if it were 4  then  4+4 is not greater than the third side, 8