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Ludmilka [50]
3 years ago
8

At a yearly basketball tournament, 64 different teams compete. After each round of the tournament, one-fourth of the teams remai

n
Create a function which models the above scenario and explain how you arrived at each part of the function (initial value, growth factor, and time)
Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

64*(1/4)^x

Step-by-step explanation:

64 is the starting number because it is given, and x represents how many rounds there are. 1/4 represents how much of the teams remain after each round.

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Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 45º.
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Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

\tan{\theta} = \frac{2}{3}

\theta = \arctan{\left(\frac{2}{3}\right)}

\theta = 33.69^\circ

More can be learned about the slope concept at brainly.com/question/18090623

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There are 200 students in an eleventh-grade high school class. There are 40 students in the soccer team and 50 students in the b
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