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Little Maths Game

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Jerry:

--- Quote from: DarkknighT on March 20, 2012, 12:35:42 PM ---
--- Quote from: Jerry on March 20, 2012, 12:12:23 PM ---5x2+3+7x0+12.5-1 = 10 + 3 + 0 + 12.5 - 1 = 24.5

Hmm, how about this one?
3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, ?

--- End quote ---
8.

--- End quote ---

Haha, nice! ^_^

Though you forgot to put a question. Does that mean the sequence was that hard? :P

Domain of f(g(h(x))) given f(x)=(9^1/2)/(2x-2)  g(x)=-5x^1/2  and f(x)=(128x^1/7)+3

Well, h is not defined, so... no solution ;D

I think you meant the last one was h, soooo:

f(g(h(x))) = f(g((128x^1/7)+3))

= f(-5((128x^1/7)+3)^1/2)

= (9^1/2)/(2(-5((128x^1/7)+3)^1/2)-2)

= -3/((100(128x^1/7)+300)^1/2+4)

Another sequence? ;D

1, 1, 2, 4, 7, 13, 24, 44, 81, ?

Arctus:
1, 1, 2, 4, 7, 13, 24, 44, 81, ?

Similar to the Fibonacci sequence, 1+0+0=1 1+1+0=2 2+2+1=4 4+2+1=7, etc. which makes the next number 149.
(P.S I helped DarknighT ;D)

Hmm, In an Arithmatic sequence, where the first term is 3, and the common difference is 4 what is the tenth term?

Jerry:
Yup! ^^

a = 3
d = 4

T(10) = 3 + (10 - 1)4 = 39

Hmmm, what could I find that's not too complicated...

You start with one bacteria. Each hour, one bacteria divides into two and grow to maturity. Thus, if you have 2 initially, you'll have 4 mature ones after one hour. Each 12 hours, two thirds the total number of bacteria die (don't ask why). You start with 1 bacteria. After how much time, to the nearest hour, would you reach 1 million bacteria?

Mr Pokemon:
1 x 2 =
2 x 2 =
4 x 2 =
8 x 2 =
16 x 2 =
... this will take too long.
2^12 = 4096
2/3 of this would be about 2731 (Computer's calculator isn't very good)
After nine more hours, assuming they die on the 12th hour (you didn't specify), there would be 1398272 bacteria, the first hour the number is over 1 million.
It would take 21 hours. I think.

Assume rabbits, when they mate, produce an average of 8 offspring. It takes 3 months for each rabbit to reach the breeding age, and another 5 months for them to give birth. Half of each litter are males and half are females. Rabbits live to be 3 years old.
(Just made this up, not real facts)
If you start with a rabbit, how many months will it be before you have 5000 rabbits?

Arctus:
Wait... so do you only start with 1 rabbit? What dies it breed with 0.o

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