Answer:
- number of multiplies is n!
- n=10, 3.6 ms
- n=15, 21.8 min
- n=20, 77.09 yr
- n=25, 4.9×10^8 yr
Step-by-step explanation:
Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...
mpy[n] = n·mp[n-1]
mpy[2] = 2
So, ...
mpy[n] = n! . . . n ≥ 2
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If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...
10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10
Then the larger matrices take ...
n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min
n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years
n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years
_____
For the shorter time periods (less than 100 years), we use 365.25 days per year.
For the longer time periods (more than 400 years), we use 365.2425 days per year.
Answer:
B-92
Step-by-step explanation:
Baku is the capital of Azerbaijan and is the lowest national capital in the world, sitting at 92 feet below sea level. Not only is it the lowest national capital by elevation, but it's also the biggest city found at levels this low with a total population of just over 2 million people as of 2016
Answer:
Step-by-step explanation:
The formula of a perimeter of a triangle:
We have:
Substitute:
Combine like terms:
Answer is: A. 0.50 [x + (x + 0.25x)], B. 0.50 (x + 1.25x), E.0.50 (2.25x)