Answer:

Step-by-step explanation:
we know that
The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere
In this problem
The radius of the sphere is 
The diameter of the sphere is two times the radius

so
The length side of the cube is

Remember that
The surface area of a cube is equal to the area of its six faces
so

substitute the value of b


We are given the functions:
f(x) = 4 x – 5 --->
1
g(x) = 3 x + 7 --->
2
To find for the value of f(x) + g(x), all we have to do is
to add equations 1 and 2:
f(x) + g(x) = 4 x – 5 + 3 x + 7
f(x) + g(x) = 7 x + 2 = y
In this case, for any real number value assign to x, we get
a real number value of y. This is because the function is linear.
Therefore the domain of the function is all real numbers.
Answer: 5 units
Step-by-step explanation:
Answer:
The object travels 144,000,000 feet.
Step-by-step explanation:
The distance the object travel after t seconds is given by:

How far would the object travel after 1.5 * 10^3 seconds
This is d when
, so 

The object travels 144,000,000 feet.
Answer: (c) y<=-x+4
The area is shaded UNDER the boundary line, hence "<"
The boundary is plotted as solid line, hence "="