Answer:
the expression is: 
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: 
where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
So, the expression is:
and 2730 different ways are possible.
Answer:
C
Step-by-step explanation:
Ax+by= C
Ax -Ax +By = C -Ax
By = C-Ax
By/B = C-Ax/B
y= C-Ax/B
5/6 divided by 3/4
First you do KCF (Keep. Change. Flip.)
Keeping the 5/6.
Changing the 3/4 to 4/3
And the new operation is multiplication as it’s the inverse of division.
So this is how it looks like:
5/6 • 4/3
Now, you can’t cross simplify since none of them can’t be reduced.
So the product of 5/6 and 4/3 is 20/18. And the mixed number is 1 2/8.
Simplifying the mixed number is 1 1/4.
I hope this helped.
Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term, that is, 
.
To find the nth term of the sequence, this equation can be written as:
27,11, -5
So ![a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2027%2C%20a_%7B2%7D%20-%20a_%7B1%7D%20%3D%2011%20-%2027%20%3D%20-16%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Da_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)
The 53rd term of this arithmetic sequence is -805.
Answer:
?
Step-by-step explanation:
