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4 years ago

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Are the rational numbers closed under addition?

1 answer:

Mumz [18]4 years ago

7 0

Answer:

Integers: This set is closed only under addition, subtraction, and multiplication. Rational Numbers: This set is closed under addition, subtraction, multiplication, and division (with the exception of division by 0). Irrational Numbers: This set is closed for none of the operations (e.g., = 2, a rational number).

Step-by-step explanation:

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You drop a ball from a height of 0.5 meters. Each curved path has 52% of the height of the previous path. a. Write a rule for th

Verizon [17]

Answer:

a) $a_n = 50 (0.52) ^ {n-1}$

b) $a_6 = 50 (0.52) ^ 5 = 1.90\ cm$

Step-by-step explanation:

If each curved path has 52% of the previous height this means that $\frac{a_{n+1}}{a_n} = 0.52$

Then the radius of convergence is 0.52 and this is a geometric series.

The geometric series have the form:

$a_n = a_1 (r) ^ {n-1}$

Where

$a_1$ is the first term of the series and r is the radius of convergence.

In this problem

$a_1 = 0.5$ meters = 50 cm

$r = 0.52$

a) Then the rule for the sequence is:

$a_n = 50 (0.52) ^ {n-1}$

b) we must calculate $a_6$

$a_6 = 50 (0.52) ^ 6-1\\\\a_6 = 50 (0.52) ^ 5 = 1.90\ cm$

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3 years ago

250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table.

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Answer:

Option D

Step-by-step explanation:

Total number of employees in the organization = 250

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Probability of choosing a person who is taller than 180 centimeters and has black hair is

$\frac{29}{250} = 0.116$

Hence, option D is correct

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12 x 12 = 144
20 x 12 = 240
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ANSWER: 384

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