Corry collects cube containers. She fills them with water and pours them into a rectangular prism. She was playing with them and
1 answer:
Answer:
Step-by-step explanation:
The only sum of three cubes that has a total equal to the square of the sum of their dimensions is the one Corry found.
However, we notice that ...
1³ +2³ +3³ +4³ = (1 +2 +3 +4)² = 100
If we add the next number in sequence, we get ...
100 +5³ = 225 = (10 +5)²
225 +6³ = 441 = (15 +6)²
So, it seems that the sum of the first n cubes is equal to the square of the sum of the first n natural numbers.
You might be interested in
The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.
Given the table
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
We have to choose which statement describes better about function
Let us assume
at x=0, f(0)=-10
So, -10 =a+c
Similarly, by satisfying the above table in the f(x)
So we can say that f(x) is an increasing function.
ln(1/3) < 0
So, g^ \prime (x) > 0
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x)
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
Learn more about increasing functions here: brainly.com/question/12940982
#SPJ10