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Feliz [49]
2 years ago
12

Check each set that includes the number shown.

Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {{0, 1, 2, 3...}}. Every Whole number is a Rational number.

- Natural numbers contain  the set of positive integers{{1, 2, 3...}} or to the set of nonnegative integers {{0, 1, 2, 3...}}, Every Natural number is a Rational number.

 Based on this, since \frac{5}{9} is in the form \frac{a}{b} where a=5 and b=9, it is a Rational Number and therefore a Real number.

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In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence
expeople1 [14]

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

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1 year ago
What did the electrician say to his daughter when she came home at 2am
yaroslaw [1]

Answer:

Check Below!!

Step-by-step explanation:

This is basically a cool joke.

When we are talking about electricians, we think about

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Thus, the electrician said:

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<em />

<em>HAHA, Good Laugh!</em>

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A boat is approaching a cliff known to be 40m tall. The angle of elevation is 30°. How far away is the boat from the cliff?
allochka39001 [22]

Answer:

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the height of this triangle is 40 meters

the opposite angle is 30 degrees.

use the tangent.

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28÷4=7
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