Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= 
= 
= 
= 
= 
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
[ 4(4) x 4(3) ] / 4(5)
= [4(4+3)] / 4(5)
= 4(7) / 4(5)
= 4(7-5)
= 4(2)
Answer:
-8 12 5
Step-by-step explanation:
they are the numbers attached to the variables
The answer is the last one
Answer:
The slope of the line must be 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
we know that
The volume of a rectangular prism is equal to
----> equation A
where
B is the area of the base of the prism
h is the height of the rectangular prism
step 2
The volume of a square pyramid is equal to
-----> equation B
where
B is the area of the square base of pyramid
h is the height of the pyramid
step 3
substitute equation A in equation B

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

therefore
The slope of the line must be 3
let's check it
To solve for the slope of the line, you must choose two coordinates first and use the formula

Choosing the points (2,6) and (3,9)
substitute
----> is correct