ElectricPavlov

Results in wavelength of 76.576576 cm  (340/444)

Directly between is 200 cm  

Look at speaker 1    400 cm to speaker 2   at what point between the two is a whole number of wavelengths from EACH speaker?

Distance from speaker 2 is   400 - 76.576576 x        =   323.423        246.84684    170.270272   93.6936         17.11712

Distance from speaker 1 is    76.576576 x 1,2,3,4     =  76.576576    153.153152   229.729728  306.306304   382.88288

None of these numbers match.   The speakers are not a whole number of wavelengths apart, so I BELIEVE there will be no where on a direct line between them where there will be constructive interference.

Are you SURE 30 degrees solves this equation?  I don't think it does.....

The MOON takes 29.53 earth days to complete ONE rotation

10 hours /(29.53 days/rotation x 24 hour/day ) / 10 hours    x  360 degrees/rotation = 5.08 degrees   moontime   Double LOL

....ANOTHER one... in 10 hours, the hour hand on a clock will have travelled  10/12 x 360 = 300 degrees   

First use distributive property to get

2(3x) - 2(7) + 4(3x) + 4(2)  = 6 (5x) + 6(9) + 3      now simplify

6x - 14 + 12x + 8 = 30x + 54 + 3                           Simplify some more

18x - 6 = 30x + 57

-63 = 12x

-63/12 = x

-5.25 =x

Odd question.   10 hours is 600 minutes.   60 minutes is one degree.    ...sooooo 10 hours is 10 degrees     LOL...

1  There are  11 possible rolls   2 - 12      only 4 and 9 are perfect squares    so   2 / 11

2   there are 28 odd cards (if you consider jacks and kings as odd cards)   there are 13 spades (seven of which are already counted as odd cards) so 6 more possibilities       28+6  /  52  = 34/52 = 17/26   

3

p    n      d          total

h    h      h            16

h    h      t               6

t     t       h             10

t     t       t                0

h    t       h             11

t     h      h             15

h    t       t                1 

t     h      t                5                   I THINK there are 8 possibilities    5  total at least 6 cents      5 out of 8    or  5/8

Don't want to tackle #4  #5

You are correct.....and the question did not specify which 'e'  was being sought  (sometimes you need to put in big numbers with exponents in interest calcs)...sorry for the confusion.   I usually use the calculator on my phone for 'e'  as in euler.

sqrt (243) = sqrt (81 x 3) = 9 x sqrt3

d x sqrt(243) = d x sqrt(81 x 3) = d x 9 sqrt3 = 9d sqrt3