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Dimas [21]
4 years ago
13

Find all real numbers s such that -2(s - 7) > 4s + 8. Give your answer as an interval.

Mathematics
1 answer:
aev [14]4 years ago
7 0
   If    -2 (s - 7) > 4s + 8
then  -2s + 14 > 4s + 8
           14 - 8 > 4s + 2s
                  6 > 6s
         
∴ <span>all real numbers s such that -2(s - 7) > 4s + 8  are   s < 1</span>
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inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

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where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
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The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)

To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.

7 0
3 years ago
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