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Karo-lina-s [1.5K]
3 years ago
9

Which function represents the graph?

Mathematics
2 answers:
dexar [7]3 years ago
7 0
Answer is number 2
I hope this helps you
Inessa05 [86]3 years ago
4 0

Answer:

The answer is D: y=3sin(x)

Step-by-step explanation:

Desmos graphing calculator

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Please answer soon I need this answer very quickly for math. Thank you!
Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

a_n=4n+5

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

a_{25} = 4(25)+5\\=100+5\\=105

The formula for sum is:

S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

d=4

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3280369
  • brainly.com/question/7221312

#LearnwithBrainly

4 0
4 years ago
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
Round your answer to the nearest hundredth BC=
UkoKoshka [18]

Answer:

BC = 4.92

Step-by-step explanation:

cos 35° = \frac{?}{6}

BC = 6 x cos 35°

BC = 6(.82) = 4.92

5 0
3 years ago
Please help
sveta [45]

Based on the data given on the number pattern, 4 + 5 = 180

<h3>Number pattern</h3>

7 + 9 = 254016

3 + 7 = 7779240

5 + 8 = 2496000

7 + 9 = (7 × 9)^|7-9| × (7 + 9) × |7 - 9)

= 69² × 16 × 2

= 4761 × 16 × 2

= 254,016

3 + 7 = (3×7)^|3-7| × (3+7) × |3-7|

= 21⁴ × 10 × 4

= 194,481 × 10 × 4

= 7,779,240

So,

4 + 5 = (4×5)^|4-5| × (4+5) × |4-5|

= 20¹ × 9 × 1

4 + 5 = 180

Learn more about pattern of numbers:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
10 points each
jekas [21]
The answer would be b 
hope this helps.
8 0
4 years ago
Read 2 more answers
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