A large online video game tournament begins with 65,53665,536 teams. The number of teams, t, t, remaining after each round, r, r, can be expressed as t=65,536(12)r. t=65,536(12)r. Eight teams will advance to the quarterfinals. The number of rounds necessary for there to be 88 teams left can be modeled as r=log(1k)log(12).r=log⁡(1k)log⁡(12) . What is the value of k?k?

k=8192

Step-by-step explanation:

The number of teams,t remaining after each round, r, can be expressed as:

First, we determine the round,r at which there will be 8 teams left.

Using this value of r

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

a

step-by-step explanation:

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