The base case is the claim that
which reduces to
which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that
We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that
By the induction hypothesis,
Now compare this to the upper bound we seek:
because
in turn because
Answer:
-3
Step-by-step explanation:
Answer:
Can of Coke
Step-by-step explanation:
Calculate how much money each ounce of drink costs, or the money per ounce ($/oz).
Coke:
$/oz = $1 ÷ 12oz = $0.083333/oz
Pepsi:
$/oz = $1.35 ÷ 16oz = $0.084375/oz
Coke < Pepsi
0.083333 < 0.084375
The calculations show that you would pay more money for one ounce of Pepsi than for one ounce of Coke. Coke costs less than Pepsi.
Therefore the can of Coke is the best buy.
Answer:
1018 cm
Step-by-step explanation:
A=piR^2
To find the radius from circumference, we divide by pi and then divide by two.
C=36pi
36pi/pi=36
36/2=18
R=18
if we plug 18 into
A=piR^2,
we get
18pi^2=A
18pi^2=1017.88
round this to get 1018
A=1018
