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Artist 52 [7]
3 years ago
5

(4Q) If c < d and x > 1, which of the following must be true?

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Use the rule to change the base

\log_a(b) = \dfrac{\log_c(b)}{\log_c(a)}

To express both logarithms in terms of the natural logarithm (for example, any common base would be fine:

\log_c(x) = \dfrac{\ln(x)}{\ln(c)},\quad \log_d(x) = \dfrac{\ln(x)}{\ln(d)}

Since the natural logarithm is an increasing function, we have

c\ln(d)

which implies

\dfrac{\ln(x)}{\ln(c)}=\log_c(x)

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A person breathes 2.5 x 10^-4 in about cubic meters of air per second. How long does it take to breathe in 2.5 cubic meters of a
Ipatiy [6.2K]

Answer:

10⁴ seconds

Step-by-step explanation:

Given that,

A person breathes 2.5\times 10^{-4} in about cubic meters of air per second.

We need to find time taken to breathe 2.5 cubic meters of air.

In 1 sec = 2.5\times 10^{-4} m³ of air breathe

Let in x seconds, 2.5 m³ of air taken by the person.

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5 0
3 years ago
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2 years ago
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What is the slope of the line passing through (-3, 5) and (5,-3)?
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x,y, and z to the nearest tenth .(hint: use altitude and leg rules) PLEASE HELP FAST !!! please solve and show steps
madreJ [45]

Use the Pythagorean theorem to find z:

z = √(6^2 + 9^2)

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