Answer: 15.7 cups of popcorn
Step by step solutions:
V=pi*r^2*h
V=3.14*3^2*8
V=226.08 in^3
Now divide the volume by the volume of a cup of popcorn.
226.08 in^3/(14.4 in^3)=15.7 cups
Using number sets, it is found that the correct classification of the number is:
C. rational number, integer, whole number, natural number , real number.
Numbers are classified as:
- Whole, which is all positive numbers and zero, also called natural.
- Integers, which is the set of whole numbers plus negatives.
- Rational, which is the set of integer numbers plus terminating or repeating decimals.
- Irrational, which are non terminating decimals.
- Real, which are the sum of rational and irrational.
In this problem, the number given is:

- Which is a whole(natural) number, thus it is also integer, rational and real, and the correct option is C.
A similar problem is given at brainly.com/question/10814303
We have the following limit:
(8n2 + 5n + 2) / (3 + 2n)
Evaluating for n = inf we have:
(8 (inf) 2 + 5 (inf) + 2) / (3 + 2 (inf))
(inf) / (inf)
We observe that we have an indetermination, which we must resolve.
Applying L'hopital we have:
(8n2 + 5n + 2) '/ (3 + 2n)'
(16n + 5) / (2)
Evaluating again for n = inf:
(16 (inf) + 5) / (2) = inf
Therefore, the limit tends to infinity.
Answer:
d.limit does not exist
Subtract 3x from both sides:
-6y = -3x + 6
divide both sides by -6 to get y by itself:
y = 1/2x - 1
function notation is rewriting y as a function:
f(x) = 1/2x -1