Hello,

We suppose the property true for n:
1²+2²+...+n²=n(n+1)(2n+1) / 6
and we are going to demonstrate that the property is true for n+1:
1²+2²+..+(n+1)²=(n+1)*(n+2)*(2n+3)/6
![1^2+2^2+...+n^2+(n+1)^2\\\\=n*(n+1)*(2n+1)/6+(n+1)^2\\\\=(n+1)/6*[n(2n+1)+6n+6]\\\\=(n+1)/6*(2n^2+7n+6)\\\\=(n+1)(n+2)(2n+3)/6\\](https://tex.z-dn.net/?f=1%5E2%2B2%5E2%2B...%2Bn%5E2%2B%28n%2B1%29%5E2%5C%5C%5C%5C%3Dn%2A%28n%2B1%29%2A%282n%2B1%29%2F6%2B%28n%2B1%29%5E2%5C%5C%5C%5C%3D%28n%2B1%29%2F6%2A%5Bn%282n%2B1%29%2B6n%2B6%5D%5C%5C%5C%5C%3D%28n%2B1%29%2F6%2A%282n%5E2%2B7n%2B6%29%5C%5C%5C%5C%3D%28n%2B1%29%28n%2B2%29%282n%2B3%29%2F6%5C%5C)
Yea it is one rational experisson
Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin(90 - x)° = cosx°
Here x = 25° , then
cos25° = sin(90 - 25)° = sin65°
The difference between the price per pound for the three pound bag of oranges and the price per pound for the 5 lb bag of oranges is $0.15
Given
Price of 3lb bag = $3.60
Price of 5lb bag = $5.25
We have to calculate the per pound price for each bag to compare the per pound price for both
Price of one pound in 3lb bag-

Price of one pound in 5lb bag-

Difference between the prices-

The difference between the price per pound for the three pound bag of oranges and the price per pound for the 5 lb bag of oranges is $0.15
The Answer:
2.4x10=24
there is one 0 in 10, so you move the decimal over by 1, resulting in 2.4 turning into 24