A sheet of paper is cut into 4 same-size parts. Each of the parts is then cut into 4 same-size parts and so on. a. After the 4th cut, how many of the smallest pieces of paper are there? b. After the nth cut, how many of the smallest pieces of paper are there? a. There are 256 of the smallest pieces of paper after the 4th cut. (Type your answer using exponential notation.) b. There are nothing of the smallest pieces of paper after the nth cut. (Type your answer using exponential notation.)

256 ; 262144

Step-by-step explanation:

Given that :

1 sheet is cut into 4

Each of the 4 is also cut into 4

Let number of cut = n

Using the Recursive geometric sequence relation ;

An = a1 * q^(n-1)

2nd cut :

A2 = 1/4 * (1/4)^(2 - 1)

A2 = 1/4 * 1/4

1/A2 = 1/16

A2 = 16

After the 4th cut ; n = 4 ;

A4 = 1/4 * (1/4)^(4 - 1)

A4 = 1/4 * (1/4)^3

1/A4 = 1/4 * 1/4^3

1 / A4 = 1/4 * 1/64

1/A4 = 1/256

A4 = 256 pieces

For. The 9th cut n = 9

A9 = 1/4 * (1/4)^(9 - 1)

A9 = 1/4 * (1/4)^8

1/A9 = 1/4 * 1/4^8

1 / A9 = 1/4 * 1/65536

1/A9 = 1/262144

A9 = 262144 pieces

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40