Answer:
n = 15
Step-by-step explanation:
For inputs of the value of n, the running time for the algorithm A is 100n^2 and that of B is 2^n.
If A is to run faster than B, 100n^2 must be smaller than 2^n.
Let's check from n = 1 to know the value of n that fits
n = 1
100(1)^2 > 2^1
100 > 2
n = 2
100(2)^2 > 2^2
400 > 4
n = 4
100(4)^2 > 2^4
1600 > 16
n = 8
100(8)^2 > 2^8
6400 > 2^8
n = 16
100(16)^2 < 2^16
25600 < 2^16
This implies that between n = 8 and 16, A starts to run faster than B
n = (8+16)/2 = 12
100(12)^2 > 2^12
14400 > 2^12
n = (12+16)/2 = 14
100(14)^2 > 2^14
19600 > 2^14
n = (14+16)/2
n = 15
100(15)^2 < 2^15
22500 < 2^15
At n= 15, A starts running faster than B
Answer:
first one
Step-by-step explanation:
first one 10/10
2nd ome 9.6/10
I like the first one better
Answer: 10x² + 6x + 3xy + 3y – y²
Step-by-step explanation:
(2x + y)(5x – y + 3)
2x(5x – y + 3) + y(5x – y + 3)
10x² – 2xy + 6x + 5xy – y² + 3y
10x² + 6x + 3xy + 3y – y²
Using the SA formula you'll have to substitute in the edge length for s.
SA = 6(312)²
SA = 584064
The surface area is 584,064 feet²
Hope this helps :)
Answer:
140
Step-by-step explanation:
What is 20 percent (calculated percentage %) of number 700? Answer: 140.