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2 years ago

Write .125 as a fractionreduced to lowest terms.

Mathematics

1 answer:

horrorfan [7]2 years ago

7 0

The Solution:

We are given the decimal below:

$\begin{gathered} .125 \\ \text{Which also means} \\ 0.125 \end{gathered}$

We are asked to express the given decimal as a fraction in its lowest term.

$0.125=\frac{125}{1000}=\frac{25}{200}=\frac{5}{40}=\frac{1}{8}$

Therefore,

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3 years ago

Write the log equation as an exponential equation

lana [24]

Answer:

$\displaystyle {9}^{2x - 1} = 2$

Step-by-step explanation:

we are given a logarithmic equation

$\displaystyle \log_{9}(2) = 2x - 1$

we want to rewrite it as exponential equation

remember that,

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here our a is 9,b is 2 and c is 2x-1

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3 years ago

Given that QR¯∥ST¯, identify the length of PT¯.

wariber [46]

Answer:

PT = 16.3 units

Step-by-step explanation:

From the picture attached,

From ΔPQR and ΔPST,

QR ║ST [Given]

PQ is a transversal line.

Therefore, ∠PST ≅ ∠PQR [Corresponding angles]

∠P ≅ ∠P [Common angle]

ΔPQR ~ ΔPST [By AA property of similarity of two triangles]

Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.

$\frac{PQ}{PS}=\frac{PR}{PT}$

$\frac{12+28}{28}= \frac{PT+7}{PT}$

$\frac{40}{28}=1+\frac{7}{PT}$

$\frac{10}{7}-1=\frac{7}{PT}$

$\frac{10-7}{7}=\frac{7}{PT}$

PT = $\frac{49}{3}$

PT = 16.3 units

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3 years ago

Select the correct answer.

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Answer:

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3 years ago

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Which action taken by a central bank would reflect expansionary monetary policy?

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<h2>Answer:</h2>

A. Lowering the discount rate to provide more loans to banks

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4 years ago

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