For this case we have the following functions:
We must find the product of the functions:
We apply distributive property:
Finally, the product of the functions is:
Answer:
The volume of a sphere is (4/3) (pi) (radius cubed).
The volume of one sphere divided by the volume of another one is
(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³
Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.
I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.
Earth radius = 6,371 km
Pluto radius = 1,161 km
Ratio of their radii = (6,371 km) / (1,161 km)
Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about <u>165.2</u>
Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
Answer:
X^3 + x^2 + x
Step-by-step explanation:
First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.
Answer: A. 0.20
Step-by-step explanation:
Let A be the event of employees needed corrective shoes and B be the event that they needed major dental work .
We are given that : 
We know that 
Then, 
Hence, the probability that an employee selected at random will need either corrective shoes or major dental work : 
hence, the correct option is (A).
