ElectricPavlov

This needs an equal sign in the equation to 'solve for 'x' '

something like   15.3525/8  - x = 33  

= 6.4 / 4   x  10^(-4)/10^6   =  1.6 x 10^(-4 -6)  = 1.6 x 10^(-10)

Sorry....question asked for rev/sec  

      revs/sec  =  revs/min  /  60 sec/min  = 9400/60 = 156.667 revs/sec

ALSO the acceleration in units of g

58138.54 m/s^2  /  9.8 m/s^2  =   5932.5 g's

Period is time for one revolution  =  60 sec/min  / 9400 r/m     = 6.383 x 10^(-3) Seconds

f=frequence = RPM = 9400 rpm

Find the circumference

   pi x d = circumference = 3.1417 x 12 = 37.699 cm

  The speck will travel this far 9400 times/min  or a distance of 37.699 x 9400 cm per minute

      = 354371.65 cm per minute     this is  3543.7165 meters per minute or (divide by 60) = 59.062 m/s

Constant speed circular motion acceleration is given by  v^2 / r  and is directed toward the center

v^2 / r =  (59.062m/s ) ^2  /  .06 m          (make sure the units are consistent!  And r = 1/2 d = .06m)

58138.54 m/sec^2

1 dollar/84.1yen  x  4205 yen  =  4205/84.1 dollar  =  50 dollars

I'll show you the first one:

x^2  +  4/9  = 1      Subtract 4/9 from both sides of the equation

x^2 + 4/9 - 4/9  = 1 - 4/9

x^2  = 9/9 -4/9

x^2 = 5/9

What number , times itself equals '0'       Only 0  is the answer....  

0 x 0 = 0 

   0^2 = 0      Take sqrt of both sides

sqrt(0^2) = sqrt 0

0 = sqrt0

How about one like

3x^2 -10x +5 = 0   ?      Gets kinda messy, but it is done the same way.  DIvide thru by '3'

x^2 - 10/3 x = -5/3          Now take 1/2 of the 'x' term , square it and add to both sides

x^2 - 10/3 x  + 100/36  = -5/3  + 100/36      simplify

(x-10/6)^2  = 40/36     Take the sqrt of both sides

x- 10/6 = +- sqrt (40/36)

x =  10/6  +- sqrt40  / 6   = (10 +- sqrt40)/6

27x^3 y^6

One way to look at this problem is this:

3/4  x  4/1  x 3/1

then just multiply all of the numerators together   and   multiply all of the denomintors together to get:

36/4     then simplify     36/4 = 9