Answer:
The domain of function is set of all real numbers.
Domain: (-∞,∞)
Step-by-step explanation:
Given:
the domain of both the above functions is all real number.
To find domain of :
Substituting functions and
to find
The product can be written as difference of squares.
∴
The degree of the function is 2 as the exponent of leading term
is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.
So Domain of is (-∞,∞)
Answer:
The height of the new cones will be 16.5 inches.
Step-by-step explanation:
We know that,
The volume of a cone is,
Where, r is the radius of the cone,
h is the height of the cone,
In the original cone,
r = 22 inches,
h = 66 inches,
Thus, the volume would be,
Also, for the new cone,
r = 44 inches,
Let H be the height,
So, the volume of the new cone would be,
According to the question,
Hence, the height of the new cones will be 16.5 inches.
Answer:
50 minutes.
Step-by-step explanation:
We solve this question by proportions, using rule of three.
One hour is 60 minutes.
5/6 hour
This is:
50 minutes.