The domain of a function is the set of values of x in which the function can be calculated.
The range of a function is the associated values of the function respect to the domain.
You have the following function:

In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:
dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)
The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:
ran y: -∞ ≤ y ≤ 3 : (-∞,3]
Answer:
Volume = (250π√3)/3 unit³
Step-by-step explanation:
The shape is a solid sphere
Where rho = ρ
ρ ≤ 5
Where Phi = φ
φ = π/6 (lower limit)
φ = 5π/6 (upper limit)
Note 1π rad = 180°
We would apply triple integrals and spherical coordinates to solve for the volume of a solid sphere.
See attachment for details
From calculations,
The volume of the portion of solid sphere = Volume = (250π√3)/3 unit³
Answer:

Step-by-step explanation:
Equation of a line:
The equation of a line, in point slope form, is given by:

In which the point is
and m is the slope.
3/15
This means that 
So

Finding the slope:
Suppose we have two points. The slope is given by the change in the output divided by the change in the input.
3/15
5/25
Change in the output: 25 - 15 = 10
Change in the input: 5 - 3 = 2
So

The equation is:

Answer: 50
Step-by-step explanation:
Let X represents his total weekly pay check
Hence, 70% of X = 35
70/100 × X =35
0.7 × X =35
0.7X =35
X = 35 ÷ 0.7
X = 50
X which is 50 is Alex 100% weekly pay check.