Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
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The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x
For this case we have that by definition, the domain of a function is given by the set of all the possible input values of the function. That is, the values that the variable "x" takes.
Also, it can be said that it is the set of all the values for which the function is defined.
The table shows that "x" takes the following values:
{3,4,5,6}
Answer:
Domain: {3,4,5,6}
Option C
Answer:
sinθ
Step-by-step explanation:
sinx
(replace x with theta)
The value of 
is 
Explanation:
Given that 
and 
<u>The value of </u><u>:</u>
The value of can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of
Thus, we have,
Substituting the value of x = 5 in the functions f(x) and g(x), we get,
Simplifying the terms, we have,
Adding the terms in numerator, we have,
Thus, the value of is
Answer:
True
Step-by-step explanation:
