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Masja [62]
3 years ago
14

Explain how finding the nth element in a pattern is using deduction.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0
Deduction is a process of reasoning in which we explain the logicality of one statement with the help of others. Or in other words, several statements or premises help us to make a certain conclusion. In order to find the n-th element in some ordered set we should find and understand the relationship between the element, between the first and the second, between the second and the third...and so on. So , finding these relations we can conclude what is the n-th element and that is a process of deduction.
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Answer:

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Step-by-step explanation:

8 0
3 years ago
What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5?
son4ous [18]
F(x) = -4sin(2x + π) - 5

<u>Amplitude</u>
A = -π

<u>Period</u>
<u>2π</u> = <u>2π</u> = π
 B      2

<u>Phase Shift</u>
<u>-C</u> = <u>-π</u> = ≈ 1.57<u>
</u> B      2<u>
</u>
3 0
3 years ago
Read 2 more answers
PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

7 0
3 years ago
Write an expression equivalent to e+e+e+e+e that is a sum of two terms.
slamgirl [31]

Answer:

5e

5(e)

Step-by-step explanation:

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5 0
3 years ago
The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
3 years ago
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