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:
x = 3
Step-by-step explanation:
8/2 = 4
6/2 = 3
x = 3
Answer:
B, A, C
Step-by-step explanation:
Calculating the common ratio for each sequence
A → r =
=
= 0.25
B → r =
= - 3
C → r =
= 1.5
B, A, C ← from least to greatest common ratio
Answer:
190 inches squared
Step-by-step explanation:
You have to split the shape into two different rectangles. Then multiply 22 x 5 to get the area of the right rectangle. The area of this is 110 inches squared. Then you find the area of the other rectangle by solving (15-5) x 8. You get 80. Then add 80 + 110 to get 190.
Hope it helps!
The answer would be 28.
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Here's my work:
Remember PEMDAS:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Also, remember to always go left to right.
(6+2)^2-4*3
Square everything in the parenthesis.
36+4-4*3
Multiply where you see a multiplication symbol from left to right.
36+4-12
Add.
40-12
Subtract.
28
Done!
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I hope I was able to guide and help you on this.