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:
(x+8)(x^2-3)
Step-by-step explanation:
First you need to factor out the greatest common factor from each group.
x^2(x+8) - 3(x+8)
Factor the polynomial by factoring out the greatest common factor, x+8.
(
x
+
8
)
(
x
^2-3
)
Answer:
12/13
Step-by-step explanation:
sin can be remembered by opposite over hypotenuse.
the length of the side opposite to angle B is 12, and the hypotenuse is 13. therefore, sin B will be 12/13.
484 oranges and 350 grapefruit
Step-by-step explanation:
because 350 plus 134 equals 484
<h3>Conner work is correct. Jana work is wrong</h3>
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
<em><u>Conner and Jana are multiplying:</u></em>

Given Conner's work is:

We have to check if this work is correct
Yes, Conner work is correct
From given,

Use the following law of exponent

Therefore,

<em><u>Given Jana's work is:</u></em>

This is incorrect
The powers of same base has to be added. But here, powers are multiplied which is wrong