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Makovka662 [10]
3 years ago
10

Is 4-heap Nim with heaps of sizes 22, 19, 14, and 11 balanced or unbalanced? Player I's first move is to remove 6 coins from the

heap of size 19. What should player II's first move be?
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

Player II should remove 14 coins from the heap of size 22.

Step-by-step explanation:

To properly answer this this question, we need to understand the principle and what it is exactly is being asked.

This question revolves round a game of Nim

What is a game of Nim: This is a strategic mathematical game whereby,  two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.

Now, referring back to the question, we should first understand that:

                        22₂ = 1 0 1 1 0

                         19₂= 1 0 0 1 1

                         14₂= 0 1 1 1 0

                          11₂= 0 1 0 1 1

and also that the “bit sums” are all even, so this is a balanced game.

However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.

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Step-by-step explanation:

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1.5 ÷6 = 0.25ft

0.25ft is 3 inches so the answer is three inches apart

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The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal
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Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2)       x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8)  x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

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d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79

in feet, we are told that a unit is 500 ft

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3 0
3 years ago
PROCEDIMIENTO POR FAVOR
Allisa [31]

Responder:

Número total de bolas = 245/23

Explicación paso a paso:

Dado que:

Bolas blancas = 1/5

Bolas negras = 1/7

Bolas rojas = 7

Sea el número total de bolas = x

Bolas blancas = 1 / 5x

Bolas negras = 1 / 7x

Por tanto, total;

(x / 5 + x / 7 + 7) = x

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(12x / 35) + 7 = x

7 = x - 12x / 35

7 = (35x - 12x) / 35

7 = 23 veces / 35

245 = 23x

x = 245/23

8 0
2 years ago
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