Using the combination formula, it is found that the number of ways to choose the presenters is given by:
C. 462.
The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:
More can be learned about the combination formula at brainly.com/question/25821700
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Answer:
Step-by-step explanation:
Let h be the cylinders height and r the radius.
-The volume of a cylinder is calculated as:
-Since the cone is within the cylinder, it has the same radius as the cylinder.
-Let 
be the height of the cone.
-The area of a cone is calculated as;
The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:
Hence, the approximate area of the solid portion is
Answer:
B
Step-by-step explanation:
4x+ (-2) =-2x+6
just took the quiz
Answer:
When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.
Step-by-step explanation:
To evaluate f(g(-6)), first find g(-6).
g(n) = n² + 2n
Substitute value.
g(-6) = (-6)² + 2(-6)
Square -6. Remember that (-x)² = x²
g(-6) = 36 + 2(-6)
Multiply 2 and -6.
g(-6) = 36 - 12
Subtract 12 from 36.
g(-6) = 24.
Now knowing this, substitute that value into f(n).
f(g(-6)) = f(24)
f(n) = 4n
Substitute value.
f(24) = 4(24)
Multiply 4 and 24.
f(24) = 96.
