
As we know that :
so, over here
plugging the value of i² as -1
Let d represent the distance of the destination from the starting point.
After 45 min, Henry has already driven d-68 miles. After 71 min., he has already driven d-51.5 miles.
So we have 2 points on a straight line:
(45,d-68) and (71,d-51.5). Let's find the slope of the line thru these 2 points:
d-51.5 - (d-68) 16.5 miles
slope of line = m = ----------------------- = ------------------
71 - 45 26 min
Thus, the slope, m, is m = 0.635 miles/min
The distance to his destination would be d - (0.635 miles/min)(79 min), or
d - 50.135 miles. We don't know how far his destination is from his starting point, so represent that by "d."
After 45 minutes: Henry has d - 68 miles to go;
After 71 minutes, he has d - 51.5 miles to go; and
After 79 minutes, he has d - x miles to go. We need to find x.
Actually, much of this is unnecessary. Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is
(0.635 miles/min)(8 min) = 5.08 miles. Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.
One-Shot Nash equilibrium is (A, C).
Yes the players can achieve payoffs that are better than the one-shot Nash equilibrium.
This is due to the fact that player 2 will choose strategy C if player A chooses option A. Player 2 will immediately choose Plan C if Player A chooses Option B. As a result, C becomes the second player's dominant strategy. The optimal decision for player 1 is to choose strategy A if player 2 chooses option C. Player 1 will select A if Player 2 chooses to choose D, making this Player 1's dominant move.
A Nash equilibrium is necessary for matrix reward games with two players if the row chosen is to maximize the payoff for the row player given the column chosen by the column player, and the column, in turn, is to maximize the payoff for the column player given the row chosen by the row player.
Learn more about Nash equilibrium:
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<span>given value of x -4x+7 for x=-1
</span>-4x+7
=-4(-1) + 7
=4 +7
=11
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet