g(f(x)) means plug in f(x) for every "x" in g(x).
g(f(x))=(x+4)^2-1=x^2+8x+16-1=x^2+8x+15
answer: x^2+8x+15
2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
the second has 5 ways
Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways
b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
the first has 10 ways
the second has 10 ways
the third has 10 ways
Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000
You know, it would really be helpful if we could have a peek at
the picture that's "shown below". Just a peek would be enough.
Right now, the only thing I see below is my dog.
Now ... follow me here ... if you're looking for tan(r), then 'r' is
one of the angles in the triangle, and I'm guessing that all three
of those letters are angles.
tan(r) is going to be the ratio of two of the sides ... I mean
(one side) divided by (another side).
There's no way to go any farther, because you haven't given us
any names for the sides, or any way to describe them.
Betcha the names of the sides are on that picture that's supposed
to be shown below.
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.
Number of favorable outcomes/total number of outcomes
Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.
So the probability of rolling a 4 is 1/6 which is equivalent
to 0.167 or 16.7%.
That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.
