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2 years ago

Find the 96th term of the arithmetic sequence -3, -14, -25, ...

Mathematics

1 answer:

lana [24]2 years ago

4 0

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.

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AlladinOne [14]

<h3>Answer: 7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

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

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

6 0

2 years ago

A small black cloth bag holds two red counters, two green counters, two

pentagon [3]

Answer:

1/14

Step-by-step explanation:

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2 years ago

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3 years ago

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3 years ago

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Vladimir [108]

Answer:

6.5 ft³

Step-by-step explanation:

P =4l => l = 7.3/4 = 1.825 ≈ 1.8 ft

V = Ab×h/3 = l²×h/3

= (1.8)²×6/3

= 3.24×2

= 6.48 ft³

≈ 6.5 ft³

8 0

2 years ago