Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.
Ions into a gas mixture according to their mass ratio q/m.
Answer:
Yes he will have enough money to pay for the gift, and with that said, he will pay $23.10.
Step-by-step explanation:
All you have to do here is multiply 22 by 5%, which will get you 1.1, then you just add the 1.1 onto the $22 and you will have the total amount he has to pay.
Answer:
Mary was paid $638
Step-by-step explanation:
Mary was paid 360 $ for working alone because
$40 * 9 = $360
Mary was paid $278
5 % * $5560 = $278
360 + 278 = 638 $
Answer:
5.14
Step-by-step explanation:
ones.tenths hundredths
