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
__
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:
A.
.
Step-by-step explanation:
We have been given an inequality
. We are asked to solve the given inequality for x.
Using distributive property, we will get:



Subtract 2 from both sides:


Divide both sides by 7:


Therefore, option A is the correct choice.
Answer:
The area and yard is 60.
Step-by-step explanation:
15 x 4 = 60
Let me know if that helps!
Answer: The answer to this problem is 178 calories.
Step-by-step explanation:
To calculate the answer, simply get the percentage of calories a person would burn during exercise (I am using a calculator BTW).
185 / 260 = 0.711538462
Then, calculate 71.1538462% of 250 pounds.
250 * 0.711538462 = 177.884616
Finally, round up your answer. 177.884616 rounded up is 178.