The Growing Circles Case 1 Case 2 Case 3
1. Examine the 3 cases carefully. What do you notice about the number of circles in each
case?
2. What would the 4th case look like in terms of numbers? Justify your answer in words
supported by a representation
3. If you notice a pattern, explain how you arrived at this conclusion?
4. If you did not notice a pattern yet, predict the number of circles in the 5th case and then
answer question 3. Repeat question 4 for further cases until you are able to see a pattern 5.
What would a general expression of this pattern look like? Express the pattern for the
#
? "case

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."