It would have to be 3 because distance can't be a negative number.
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
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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.
70dB is represented by 100cars in 60sec. Therefore if the number of cats is reduced by 3/4 in the same amount of time(60s), then the decibel level will reduce by 3/4 also. So 70dB * .25= 17.5dB
The probability that both marbles will be a red color is:
6..... ⇔ number that satisfies the constraint
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15..... ⇔ number of outcomes
Answer:
Step-by-step explanation:
Statements Reasons
1). ∠CXY ≅ ∠BXY 1). Given
2). ∠CAX ≅ ∠BAX 2). Given
3). AC ≅ AB 3). Given
4). AX ≅ AX 4). Reflexive property
5). ΔAXC ≅ ΔAXB 5). SAS property of congruence
6). CX ≅ BX 6). CPCTC
7). XY ≅ XY 7). Reflexive property
8). ΔYXB ≅ ΔYXC 8). SAS property of congruence
9). ∠XCY ≅ ∠XBY 9). CPCTC
