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Sorry about the other person being rude to you! I wish you the best of luck. Have a good day!

Peter gets a 4 m/s x 6 s = 24 meter head start.....when do their positions equal?

24m + 4 m/s * x s   = 7 m/s * x s

24 + 4x = 7x

24 = 3x

x = 8seconds     they will be at the same point    ( 24 m + 4 m/s * 8 sec = 56 meters)

Thank you so much for helping! I understand it much better now.

Thank you very much for your help! I was a little confused but it makes sense now.

The product  will    be    m^1 * n^1   where m, n are the primes

The number of  divisors will be   (exponent on m  + 1) (exponent on n + 1)  =

(1 + 1) (1 + 1)  =   (2) (2)  =   4

12012 mod 24  =  12

So.....12 hours after 7AM   =  7 PM

Note that.....on the last one.......the graph of the cable car is a straight line....thus it's average rate of change is constant = 50 yd / min

From 2 - 4 min  ....the avg rate of change  for Pat is  [200 - 125 ] / 2 =  75 / 2  =  37.5 yds / min

From 4 - 5 min.....the avg rate of change for Pat is  [225 - 200] / 2  =  25 / 2  =   12.5 yds / min

Note that Pat is getting tired......but the cable car isn't.....LOL!!!!

First one:   In 2.5 secs , the ball goes from 0 to 25 feet in height     25ft/2,5sec = 10ft/sec

Second one:

  in two minutes, pat goes from 0 to 125 yds      125yds/2min = 62.5 yds/min

                         cable car from 0 to 100 yds      100yds/2min = 50 yds/min

I think you can now do the others!

I didn't mean the question out of anger or hatred. I just didn't know if everything was okay or if you were just taking a couple days away. I apologize if I upset you. 

tan  A    will be undefned at   pi/2  +  n * pi

So    let  A  =    θ/2

So      θ /2  =  pi /2  +  n* pi        multiply through by 2

So      θ  =   pi  + n*2pi

So.....it will  be defined at all real numbers except    pi  +  2pi * n

So.... "d"  is correct...

Tan = sin / cos      we cannot have cos = 0   (denominator cannot = 0)

      cos = 0 at  odd multiples of pi/2      1/2 theta cannot equal on odd  multiple of pi/2

So  all theta not equal to odd numbers of pi     ( pi  3 pi     5 pi etc )

12283*46 = 565018

ehh, so so

Where are you going Synth? You leaving the website?

wait thats impossible.. ?

AYE AYE CAPN

Coterminal angles are angles that share the same start and terminal side....they all differ by a factor of 2 pi radians

c      - pi /6     +   12 (2 pi) = 23 pi /6

so tired and stressed that my hand wont stop shaking

well i thought you left

im ok. How about you DC?

How what?!!

I used the laws of indices and the fact that raising to a power takes priority over multiplication.  To allow multiplication to be done before raising to a power, parentheses must be used.