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solmaris [256]
3 years ago
5

Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

<h3>The 12th term is 68</h3>

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

<h3>A(12) = 68</h3>

Hope this helps you

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Please help immediately ​
Burka [1]

Answer:    f'(1)=\dfrac{4}{2y+1}

<u>Step-by-step explanation:</u>

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

Given:         0 = 2x² - xy - y²

Derivative:  0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

                   y'(2y + 1) = 4x

                   y'=\dfrac{4x}{2y+1}

\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}

8 0
3 years ago
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2
erik [133]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>(-1, 3)</em>

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

<u>Substitute</u>

y - (2 - 2y) = 7

<u>Solve</u>

y = 3

<u>Substitute</u>

4x = 2 - 2 * 3

<u>Solve</u>

x = -1

<u>Final Answer</u>

(x, y) = (-1, 3)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
Which statements (more than one) describe the equation 3 x 9 = 27?
denis-greek [22]

Answer:

9 times as many as 3 is 27.

Step-by-step explanation:

6 0
2 years ago
Ping's Ice Cream Palace offers a special sundae that contains over 2 kilograms of ice cream plus any number of toppings. Write a
hjlf

Let "x" represent the weight of the toppings. We know that we can have any number of toppings. This means that one may ask for no toppings at all too.

Now, we have been told that "S" is the weight of the special sundae in kilograms. This definitely included the "mandatory" 2 kilograms of ice cream. Therefore, S will be at-least equal to 2.

Thus, the inequality that describes S, the weight of the special sundae in kilograms at Ping's Ice Cream Palace is given as:

S\geq 2+x kilograms.

It can be seen that as x increases, S increases too and if an order does not want any toppings in it then the weight of the special sundae will be a minimum of 2 kg which is the weight of the ice cream.

7 0
3 years ago
Read 2 more answers
Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heigh
monitta

The standard error of the estimate of average height in the city is 0.25.

Given average height 64 inches, sample mean and sample standard deviation of 4 inches.

We have to determine the standard error of the estimate of the average height in the city.

Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.

n=256

μ=mean

s = sample standard deviation

Standard error=s/\sqrt{n}

=4/\sqrt{256}

=4/16

=0.25

Hence the standard error of the estimate of the average height is 0.25.

Learn more about standard error at brainly.com/question/1191244

#SPJ4

5 0
2 years ago
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