Answer:
x = 18
Step-by-step explanation:
difference between y = 12, x=72 is 6
so if y = 3 then multiply 3×6 = 18
Answer:
The volume of the water in the fishbowl is equal to
or 
Step-by-step explanation:
we know that
The volume of the sphere (a fishbowl) is equal to
In this problem we have
----> the radius is half the diameter
substitute
convert to mixed number
Answer:
uhm.....what?
Step-by-step explanation:
Answer:
y=1x-4
Step-by-step explanation:
The original is
y=mx+b
m is the slope and b is the y intercept
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
