ElectricPavlov

2⁶⁴  = 1.844674 x 10¹⁹  different  64 bit words are possible

64 is  2⁶

2 terabytes is 2 000 000 000 000 bytes

     each byte is 8 bits    = 16 000 000 000 000 bits         ^{log(16000000000000,2) = 43.86313713864835}

2^43.863137 / 2⁶       =  2^37.863137      64 bit words

100% x    + 50% (5)   = 80% (x+5)

1.0x   +.5(5) = .8(x+5)        solve for x   the number of gallons of 100% acid to use,....

Good answer , jfan....

    you could judt multiply out the constant factors  (all of the rest will have some 'x' in them)

      3(-4)  + 2(7) -5(-1)    =  7

If f(0) = 47     then 'the constant term =  47

ax^3  + bx^2 + cx  +47     

if f(1) = 32

a(1^3) + b(1^2) + c  + 47 = 32

a + b + c + 47 = 32

If  f(2) = -13

a (2)^3 + b (2)^2  + 2c  +47 = -13

8a + 4b + 2c + 47 = -13

If  f(3) = 16

27a + 9b + 3c + 47 = 16

Solving the system of equations in red (I used an online calculator) results in  f(x) =     52/3  x³    -67x²   + 104/3  x   + 47

                          you can take it from here......

*** Edit ***   I think I took the long way....   f(1) = 32   would give the answer !   D'Oh !    (IF you consider the constant 47 a 'coefficient'.....if not then the sum would be  -15 ) 

Maybe by 'guestimation'   q+r = u     r+s = w    s+q = t   s-r=v

8 +d   is the second term

8+9d  is the 10th term and is equal to  2 x (8+d)

8+9d =2(8+d)

8+9d = 16 + 2d

7d = 8

d = 8/7

The USUAL midline for cos and sin functions is  0    this one is shifted up 5 units

y= 5

I THINK this what you are asking:    38 1/5   +    54   1/3    +    52  1/4

add the red parts  = 144

now the fractions.....    the lcm of  5 3 and 4 is 60         1/5 = 12/60    1/3 = 20/60   1/4 = 15/60

         added together =  47/60

then    144 + 47/60 =     144   47/60    (kg ?)

I found similar   BUT

x+y = 4  is given    ....   then if

x-y = sqrt28       then  if you add two equations together

2x = 4 + sqrt28 = 4 + 2 sqrt 7

then

x = 2  + sqrt 7

Now    x+y = 4     means      2+ sqrt7    + y = 4     then y =  4-(2 + sqrt7)  = 2 - sqrt7

Then does x^2 + y^2 = 22 ???   Yes it does

Does   x^4 = y^4 - 176 sqrt7  ?    No it does not,,,,,   I do not think the question is written correctly !   Did you find this too?

THAT is illegible to me...Yikes !