Aswim meet has 13 contestants signed up for a 100 meter butterfly event. how many different ways can the top 6 contestants place

1235520

Step-by-step explanation:

Given : A swim meet has 13 contestants signed up for a 100 meter butterfly event.

To find the number of ways can the top 6 contestants place, we use permutations because order to place them matters here.

We know that the number of permutations of n things such that r things taken at time is given by :_

Then, the number of different ways can the top 6 contestants place out of 13 contestants will be:_

Hence, the number of different ways can the top 6 contestants place = 1235520

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

after 1 year: 221 deer

step-by-step explanation:

30% of 170 is 51. 170+51=221