Answer:
The required position of the particle at time t is:
Step-by-step explanation:
Consider the provided matrix.
The general solution of the equation
Substitute the respective values we get:
Substitute initial condition
Reduce matrix to reduced row echelon form.
Therefore,
Thus, the general solution of the equation
The required position of the particle at time t is:
Adrian can put a total of 1716 combinations in the player.
The formula to be used is as follows:
total combinations = n!/[r! *(n-r)!]
n = number of disks available = 13
r = number of disks that be held = 6
= 13! = (13• 12•11•10•9•8•7•6•5•4•3•2•1)/(6! <span>• 7!)
</span>=1716
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Answer:
y = 7
Step-by-step explanation:
5(3y - 13) = 6y - 2
5*3y + 5*-13 = 6y - 2
15y - 65 = 6y - 2
15y - 6y = 65 - 2
9y = 63
y = 63/9
y = 7
Check:
5((3*7)-13) = 6*7 - 2
5(21-13) = 42 - 2
5*8 = 40
That would be 8, its in the center so forget 9 or 7.