Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
50/36 = 1.39 per litre (or 1.86 dollars for those in the United States)
The bird is flying at 5m/s, so
1 sec = 5 m
It flies for 3 mins
3 mins = 3 x 6sec
3 mins = 180 sec
The bird flies for 180 seconds
1 sec = 5 m
180sec = 5 x 180 = 900m
The bird flew 900m in 3 mins (Answer C)
