Find the 4th term in the sequence with the following definition: Please help me!!
1 answer:
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Answer:
84 different lineups are possible
Step-by-step explanation:
The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
6 musics from a set of 9. So
84 different lineups are possible
Answer:
<em>True </em>
Step-by-step explanation:
<em>Rate Of Change Of Functions </em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula
If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)
Now, we use the second and the third point (2,4) (3,9)
This difference in values of the slope is enough to state the function is non-linear
Answer: True
To simplify
we need to use the fact that
Why the absolute value? It's because .
We start by rewriting as
Since , we have
, and the above reduces to
Then we pull out any 4th powers under the radical, and simplify everything we can:
where allows us to write
, and this also means that
. So we end up with
making the last option the correct answer.