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Would the answer be A?

As you can see in your question, they have given you a "formula": P(n+1) =RP(n)(1 - P(n). You would plug in the initial values given to you: P(0)=0.25 and R=1.25. This is a "recursive formula" where the first result is fed back into the formula to generate the next value, and then that is fed back into the formula to generate the next value and so on for 30 values. I simply wrote a very short computer code to calculate the values for you. 

how do you get those points tho?

P=0.25; R=1.5;  listfor(m,1, 30,P=R*P*(1-P))[THIS IS THE SIMPLE LOOP THAT GENERATES THE FOLLOWING RESULTS]:
(0.28125, 0.3032226563, 0.3169180155, 0.3247214804, 0.3289161609, 0.33109548, 0.3322068947, 0.3327682107, 0.333050293, 0.333191693, 0.3332624831, 0.3332979007, 0.3333156151, 0.3333244738, 0.3333289034, 0.3333311184, 0.3333322258, 0.3333327796, 0.3333330565, 0.3333331949, 0.3333332641, 0.3333332987, 0.333333316, 0.3333333247, 0.333333329, 0.3333333312, 0.3333333323, 0.3333333328, 0.3333333331, 0.3333333332)
As you can see, they are trending towards P=(R - 1)/R =(1.5 - 1)/1.5 =0.5/1.5 =1/3 =0.3333333......ETC.

Okay. I have found more on the problem. So if β∈P_0, let \(\overline{\beta}\) be the partition of n obtained by splitting each member of β that is in A into two halves and leaving all other numbers of the partition where they are. This clearly appears to map \(P_0(n)\) into \(P_1(n)\). However, I am having trouble showing that the map is actually a bijection. It seems clearly injective, but I just can't solve it from what I have now. Can I have another hint? Melody? CPhill??

(x+5)^2 + (y-3)^2 = 13^2       Just a wild guess.....

1. Turn it in to lost and found

2. Put it back where you found it

3. Destroy it

4.  IF you have a junker computer you do not care about......plug it in and see what is on it....maybe you can find to whom it belongs.....if there is no virus or anything interesting on it, reformat it (erase it) and use it as you would any other Thumb Drive

5. A computer store might have a USB duplicator/eraser that does not use a computer....they can 'wipe' it...

Ooops! Forgot the 0. My bad. Thank you, EP!

8 x 10^-4 = .0008

.0008 = 8 / 10000 = 1/1250

ok thank you so much

- exponent means you flip it and multiply the denominator by that value, but positive. 

So: 

8/(10^4) 

10^4 = 10000 

8/10000 = 1/125 

a full-blown debate 

Try to find a bijection between the two sets- You are given a partition where no odd number appears more than once, try to find a way to turn that partition (maybe by splitting up some of the members of the partition, or by adding up some of them) into a partition that contains no element from the set A. Try to find a way to do that for ever partition, such that every partition that contains no element from the set A has EXACTLY one partition where no odd number appears more than once, that when applying your method/algorithm/function to will produce that partition.

Maybe melody/Cphill can explain that better, they are very smart and surely can solve your question

Somebody please help!!!!

Making yourself best answer lol Thanks for the help!

Sorry....I diodn't look at ILP's answer closely enough....answer shoiuld  be

[3.5 x 10^(-6) ] / [ 5 x 10^(-2) ]  =

3.5 / 5    x     10^2 / 10^6  =

.7 x 10^(-4)  =

7 x 10^(-5)

It was just a question

What have I created

Soooo I need an answer, but Im fairly positive that ILP is incorrect as you do not add on division.

a = (vf-vo)/t 

     re-arranging    t = (vf-vo)/a  = (0-20.8333)/a = (-20.8333)/a           75 km / hr = 20.8333 m/s

xf = xo + vo t + 1/2 a t^2         Substitute the value of t above

135 = 0 + (20.8333)(-20.8333/a)  +  1/2  a (-20.8333/a)^2

135 = -434/a  + 1/2  a  (434/a^2)

135 = -434/a  + 217/a

135 = -217/a      a = -1.607 m/s^2

F= ma

F = 750(-1.607) = -1205 N

B.  I find   a = -108.49 m/s^2        Use this in  F=ma   F = -81370 N

C. ratio  81370/1205 = 67.5 times higher     

        (NOTE : this is the same as the ratio of the stopping distances   135/2 = 67.5)

CPhill, this answer is wrong... EP is right

Thank you CPhill. We just finished learning this.

Good job , ILP   !!!!

ok first set it up as a fraction. so it would like this (3.5*10^-6)

                                                                             (5.0*10^-2)         Divide 3.5/5= .7 then add the exponents which would -8

so your answer would be (.7*10^-6) but its not in scientific notation so it would actually be (7*10^-5) I got that answer by moving the decimal to the right once and decreasing the exponet by one.

(3.5/ 5) x 10 ^(-6 - -2) = .7  x 10^-4  = 7 x 10^-5