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jonny [76]
3 years ago
10

What is the common ratio of the sequence? -2,6,-18,54

Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

<u>ANSWER</u>

The common ratio is -3.

<u>EXPLANATION</u>

In general, the common ratio of a Geometric Sequence is given by:

r = \frac{a_{n+1}}{a_{n}}

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.

The given sequence is -2,6,-18,54

Using the first two terms the common ratio is

r =  \frac{6}{ - 2}  =  - 3

We could also used the second and third terms to get

r =  \frac{ - 18}{6}  =  - 3

and so on and so forth.

Therefore the common ratio is -3.

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If the correlation between height and weight of a large group of people is 0.75​, find the coefficient of determination​ (as a​
Shtirlitz [24]
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
R = 0.75

So,
R²  = 0.75²

R² = 0.5625

R²  = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
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Mr. K's math class is 1 {1}{4} hours long. After working problems on the board for 55 minutes {11}{12}hour), he gave the student
mel-nik [20]

The number of hours that students have to work on homework will be 1/3 hours.

<h3>What is subtraction?</h3>

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Mr. K's maths class is 1 and 1/4 hours long.

After working problems on the board for 55 minutes  or 11 / 12 hour.

He gave the students the rest of the class period to work on homework.

Then the number of hours that students have to work on homework will be

⇒ 1 + 1/4 - 11/12

⇒ 5 / 4 - 11/ 12

⇒ (15 - 11) / 12

⇒ 4/12

⇒ 1/3 hours

More about the subtraction link is given below.

brainly.com/question/4319655

#SPJ1

4 0
2 years ago
Need help and will be giving Brainliest
Katena32 [7]

Answer:

x-intercept (s):

For this case h (x) = 0

x2 - 2x - 8 = 0

(x-4) * (x + 2) = 0

x1 = 4

x2 = -2

y-intercept:

For this case x = 0

h (0) = (0)2 - 2 (0) - 8

h (0) = - 8

vertex:

We derive the equation:

h '(x) = x2 - 2x - 8

h (x) = 2x - 2

We match zero:

2x-2 = 0

x = 2/2

x = 1

We evaluate the function for x = 1

h (1) = (1)2 - 2 (1) - 8

h (1) = 1 - 2 - 8

h (1) = -9

The vertex is:

(1, -9)

axis of symmetry of the function:

x = 1

Step-by-step explanation:

hope it helps

6 0
3 years ago
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