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BaLLatris [955]
3 years ago
10

Consider the sequence following a minus 8 pattern: 9, 1, −7, −15, ….

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer: -287

Step-by-step explanation:

The given pattern: 9, 1, -7, -15, ….

We observe that ,

First term : a=9

Common difference between the terms= 1-9=-8

For Arithmetic sequence , the formula to find the nth term is given by :-

a_n=a+(n-1)d

Then, 38th term will be :-

a_{38}=9+(-8)(38-1)\\\\=9-8(37)=9-296=-287

Hence, the 38th term of the sequence.= -287

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What is the value of the product (3 – 2i)(3 + 2i)?
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Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\sqrt{-1})^2 = -1

(9 - 4(-1))

Add

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Answer is -21 1/3

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+  -5 2/3

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Which of the following statements does not describe a characteristic of the line of best fit for a scatter plot?
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A statement which does not describe a characteristic of the line of best fit for a scatter plot is that: A. the line of best fit should be the average of all the data points.

<h3>What is a scatter plot?</h3>

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

<h3>What is a line of best fit?</h3>

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

<h3>The characteristics of a line of best fit.</h3>

The statements which describe a characteristic of the line of best fit for a scatter plot include the following:

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The length of GH is half the length of KL.

Full question...

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?

The length of JK equals the length of JL.

The length of GH is half the length of KL.

The slope of JK equals the slope of JL.

The slope of GH is half the slope of KL.

So once again the answer is the second one: The length of GH is half the length of KL.

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