Answer:
The prizes can be given in 1320 ways.
Los premios se pueden otorgar en 1320 maneras.
Step-by-step explanation:
The order in which the swimmers are ranked is important. That is, A, B and C is a different finish than C, B and A. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 prizes for 12 swimmers. So
The prizes can be given in 1320 ways.
Los premios se pueden otorgar en 1320 maneras.
Answer:
1 whole mile
Step-by-step explanation:
If he walked 1/4th of a mile away from his house.. and ended up 1/4th of the way closer to his school the distance would have to be a full mile between the two
Answer:
Given:
Volume of cube = 140.608 cubic millimetres
Step-by-step explanation:
Let the length of each side of cube = a
Therefore length of each side of cube = 5.2 mm
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply 
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
It should be A. 0, because any number with a power of 0 should equal 0. I hope I helped!
