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Fofino [41]
3 years ago
6

Find the 8th term of the arithmetic sequence -2x+5−2x+5, -7x+8−7x+8, -12x+11, ...

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

  -37x+26

Step-by-step explanation:

The x-coefficients have the sequence ...

  -2, -7, -12, ...

which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...

  -2 + (-5)(8 -1) = -37

__

The constants have the sequence ...

  5, 8, 11, ...

which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...

  5 +(3)(8 -1) = 26

The 8th term of the sequence is -37x +26.

_____

The general term of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

In the above, we have used n=8 to find the 8th term.

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What is 15/4 as a mixed number?
max2010maxim [7]
It would be: 15/4 = 3 3/4

In short, Your Answer would be 3 3/4

Hope this helps!
8 0
3 years ago
Compute a value for t that satisfies the equation below. "-2/3" t - 2 = - 3
Dima020 [189]

Answer:

t = 3/2

Step-by-step explanation:

Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.

(-2/3)t - 2 = -3                             <----- Original equation

(-2/3)t = -1                                   <----- Add 2 to both sides

t = 3/2                                        <----- Divide both sides by -2/3

You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.

(-2/3)t - 2 = -3                            <----- Original equation

(-2/3)(3/2) - 2 = -3                      <----- Plug 3/2 into "t"

-6/6 - 2 = -3                               <----- Multiply -2/3 and 3/2

-1 - 2 = -3                                    <----- Simplify -6/6

-3 = -3                                        <----- Subtract

6 0
2 years ago
Find the first quartile (Q1) of the data set below.
Zarrin [17]
I think it would be 88
5 0
3 years ago
Well, I have to write 20 words, so... I think this is enough.
Varvara68 [4.7K]
<h3>Answer: Choice D</h3><h3>m = n</h3><h3>b = sqrt(pi)*a</h3>

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.

6 0
3 years ago
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
ipn [44]

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

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4 0
2 years ago
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