2 years ago

What is the rate of change from 1 to 3

1 answer:

3 0

The rate of change is (amount of the change) / (time it took to change) .

Amount of the change = (3 - 1) = 2 .

Rate of change = (2) / (time it took to change from 1 to 3) .

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Given that XY is a line segment with the angle a = 48° and c = 59°, work out the value of the angle marked b.

olga nikolaevna [1]

Answer:

a+b+c = 180

48+59+b=180

107+b=180

b=180-107

b=73

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2 years ago

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Answer:

Step-by-step

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Step-by-step explanation:

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2 years ago

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2 years ago

How to solve <img src="https://tex.z-dn.net/?f=log_%7By%7D%285y%29%20%3D%202" id="TexFormula1" title="log_{y}(5y) = 2" alt="log_

Natalija [7]

Answer:

y = 5

Step-by-step explanation:

Expand the logarithm:

$\log_y{(5)}+\log_y{(y)}=2\\\\\dfrac{\log{(5)}}{\log{(y)}}+1=2 \quad\text{change of base formula}\\\\\dfrac{\log{(5)}}{\log{(y)}}=1 \quad\text{subtract 1}\\\\\log{(5)}=\log{(y)} \quad\text{multiply by log(y)}\\\\5=y \quad\text{take the anti-log}$

_____

You can also take the antilog first:

5y = y²

y(y -5) = 0 . . . . . subtract 5y, factor

y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.

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3 years ago