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Anastaziya [24]
3 years ago
11

What is the best estimate for the sum of 3/4 and 1/12

Mathematics
1 answer:
TEA [102]3 years ago
3 0
Well first you would find a common denominator which would be 1w and then since you multiplied 4 by 3 to get to 12 you multiply 3 by 3 which is 9. So then you would have 9/12 + 1/12 which = 10/12
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What is the sum of the series? 4 ∑k=1 (2k^2−4)
larisa86 [58]

The sum of the series \sum_{k=1}^{4}\left(2 k^{2}-4\right) is 44.

Step-by-step explanation:

The given series is \sum_{k=1}^{4}\left(2 k^{2}-4\right)=44

To find the sum of the series, we need to substitute the values for k in the series.

\sum_{k=1}^{4}\left(2 k^{2}-4\right)=\left[2(1)^{2}-4\right]+\left[2(2)^{2}-4\right]+\left[2(3)^{2}-4\right]+\left[2(4)^{2}-4\right]

Now, simplifying the square terms, we get,

[2(1)-4]+[2(4)-4]+[2(9)-4]+[2(16)-4]

Multiplying the terms,

[2-4]+[8-4]+[18-4]+[32-4]

Subtracting the values within the bracket term, we get,

-2+4+14+28

Now, adding all the terms, we get the sum of the series,

\sum_{k=1}^{4}\left(2 k^{2}-4\right)=44

Thus, the sum of the series is \sum_{k=1}^{4}\left(2 k^{2}-4\right)=44

8 0
3 years ago
Sweety’s mother is 12 years more than twice Sweety’s age. After 8 years, she will be 20 years less than three times Sweety’s age
Anton [14]

Answer: 44

Step-by-step explanation:

Let your age be x.

Then your mother's age will be 2x + 12.

After 8 years,

Your age will be x + 8.

Your mother's age will be 3(x + 8) - 20 = 3x + 24 - 20 = 3x + 4.

This is equal to 2x + 12 + 8 = 2x + 20

2x + 20 = 3x + 4

3x - 2x = 20 - 4

= x = 16

7 0
2 years ago
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Answer:

Option C.

Step-by-step explanation:

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Answer:

we need a picture

Step-by-step explanation:

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3 years ago
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