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FromTheMoon [43]
3 years ago
6

When are fractions useful? When are ratios useful?

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0
Fractions are useful for constant of proportionality, ratios, and just simplifying decimals. Ratios are good for recipes
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32, consecutive interior angles are supplementary.

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We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.

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Now let's add like terms.

5x + 20 = 180

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Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)

Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

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Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

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Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

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