Answer: 36
Step-by-step explanation:
area of a triangle: base times height then divide by two
Answer:
9.1 x 10² = 910
9.1 / 10² = 0.091
Step-by-step explanation:
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. There were 500 liters in the tank when the leak started, and it is decreasing by 9 liters per minute.
Step-by-step explanation:
This equation is in the form; y =mx + c.
<em>c</em> in this equation is the value of y when x is at 0.
<em>c</em> in the above formula is 500 which means that the number of litres (y) at zero minutes(x) is 500 litres.
<em>m</em> is the rate of change as a result of a change in x.
<em>m</em> in this equation is -9 which means that the water is reducing by 9 litres every minute (x).
