Asinging contest eliminates contestants after each round. the number of contestants that go into round n is equal to the number of contestants in the previous round raised to the n-1/n -th power, rounded to the nearest integer. the number of contestants in round 2 is 243. how many contestants will be in round 5?

9514 1404 393

  9

Step-by-step explanation:

It is convenient to let a graphing calculator or spreadsheet do the arithmetic.

Into round 3:

  243^(2/3) ≈ 38.94, rounds to 39

Into round 4:

  39^(3/4) ≈ 15.61, rounds to 16

Into round 5:

  16^(4/5) ≈ 9.19, rounds to 9

9 contestants will be in round 5.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

i believe the answer is d.

hope it you! : d