Answer:
8m
Step-by-step explanation:
We assume you're describing a geometric sequence with first term m and common ratio 2. Then the n-th term is ...
a[n] = m·2^(n-1)
and the fourth term is
a[4] = m·2^(4-1) = 8m
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:
1.15 miles closer
Step-by-step explanation:
you just subtract 1 3/5 from 2 3/4
1 3/5 = 1 12/20
2 3/4 = 2 15/20
2 15/20- 1 12/20 = 1 3/20 = 1.15
Y = -x2 + 5x + 36 <span>→ y = -(x2 -5x -36)
</span><span>→ y = -(x2 - 9x +4x - 36)
</span><span>→ y = -[x(x-9) + 4(x - 9)]
</span><span>→ y = -(x - 9)(x + 4)
Your answer would be </span>y=-(x-9)(x+4).
