Answer:
3171 × 10^(44) years
Step-by-step explanation:
For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.
Thus, total number of possible 64 bit integers = 10^(64) integers
Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)
Let's calculate how many it can produce in a year.
1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds
Thus, per year it will produce;
(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)
Thus;
Number of years of running is it unavoidable that the device produces an output for the second time is;
(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years
Answer:
x=4
y=2
Step-by-step explanation:
2x+2y=12
x−y=2
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
2x+2y=12,x−y=2
To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.
2x+2y=12,2x+2(−1)y=2×2
Simplify.
2x+2y=12,2x−2y=4
Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.
2x−2x+2y+2y=12−4
Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.
2y+2y=12−4
Add 2y to 2y.
4y=12−4
Add 12 to −4.
4y=8
Divide both sides by 4.
y=2
Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.
x−2=2
Add 2 to both sides of the equation.
x=4
The system is now solved.
x=4,y=2
Correct choice is B) x=4.
Answer:
the answer is C.815+(-97)
Step-by-step explanation:
One taco would cost about $1.20.
Step-by-step explanation:
