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ivolga24 [154]
4 years ago
12

The number 39 is decreased to 38. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Mathematics
1 answer:
djverab [1.8K]4 years ago
3 0
39-38=1
1÷39=0.025
0.025x100= 3% decrease
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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

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X intersept form........
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Answer:

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Step-by-step explanation:


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alisha [4.7K]

Answer:

For #1, 8.9.

Step-by-step explanation:

I can attempt to answer it, but I can't promise anything.

Alright, so, the equation for this should be A²+B²=C²

C is usually the longer side, which for you is the side that is missing.

Let's try the first one. If what I see is right, the 2 sides are 4 and 8. A is 8 and B is 4.

That means that the equation would be 8²+4²=C²

That would be 64+16=80

The equation is now 80= c²

The opposite of "to the power of 2" is a square root. So, now you're going to find the square root of 80, which is 8.9 to the nearest tenth.

So, for the first question, the answer should be 8.9

I hope this helps you solve the rest.

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