An amoeba splits to form two amoebas after one hour. One hour later, each of the two amoebas split to form two more. Every hour, each amoeba splits to form two more. 1. How many amoebas are there after 2 hours?

2. How many amoebas are there after 6 hours?

3. Write an expression for the number of amoebas after 8 hours.

9514 1404 393

Step-by-step explanation:

1. The problem statement tells you there are 4 amoeba after 2 hours.

__

2. The number starts at 1 and doubles each hour. After 6 hours, there will be ...

  2^6 = 64 amoeba

__

3. After 8 hours, the number is 2^8.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)