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madam [21]
3 years ago
15

G(x)=26*((1)/(2))^(x) find the value of g(3)

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

g(3) = 13/4

Step-by-step explanation:

g(x)=26*((1)/(2))^(x)

Let x = 3

g(3)=26*((1)/(2))^(3)

      = 26 * 1/2^3

      = 26 * 1/8

      = 26/8

      = 13/4  

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The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta
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Answer:

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Step-by-step explanation:

<u>Let L and W be the length and width of the rectangle. </u>

<u>Let l and w be the length and width of the square.</u>

Area for each is:

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Summarizing and substituting:

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8W^2 + W^2 = 225 yards^2

9W^2  = 225 yards^2

W^2 = 25

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---------------------

Therefore, since L = 8W <u>,</u> <u>L = 40 yards.   W = 5 yards</u> for the rectangle.

The square:  l=W, so <u>l = 5 yards, and thus w=5 yards</u>

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

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