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Alexxx [7]
3 years ago
11

Domain, range , functions

Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

functions, domain, range

Step-by-step explanation:

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Which of the following logarithmic expressions are equivalent to ln sqrt xy +ln (x/e)? select all that apply
spayn [35]

Answer: Option d.

Step-by-step explanation:

It is important to remember the following proporties in order to solve the exercise:

ln(a)+ln(b)=ln(ab)\\\\ln(a)-ln(b)=ln(\frac{a}{b})\\\\ln(a)^m=mln(a)\\\\ln(e)=1

In this case you have this expression given in the exercise:

ln(\sqrt{xy})+ln(\frac{x}{e})

Since equivalent expression have always the same value, you can simplify the expression given in order to find an equivalent expression.

Therefore, applying the corresponding properties, you get the following equivalent expression (Remember that \sqrt[n]{a^n}=a):

ln(\sqrt{xy})+ln(\frac{x}{e})=ln(\sqrt{xy})+ln(x)-ln(e)=ln(x\sqrt{xy})-1

3 0
3 years ago
The advertising department of a nationally circulated magazine wishes to estimate the mean age of its subscribers within 0.5 yea
zhenek [66]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Margin of error = 0.5 years

Standard deviation = 5

At 90% confidence, z = 1.645

We need to find the minimum size of the sample they must take.

So,

n=(\dfrac{z\sigma}{E})^2\\\\n=(\dfrac{1.645\times 5}{0.5})^2\\\\n=270.6\\\\n\approx 271

Hence, Option 'd' is correct.

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3 years ago
Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2.
AnnZ [28]
-8 - 7 - 16 - 14 + 2 = -43
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4 years ago
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The system of linear equations y = negative 3 x + 5 and y = negative 3 x minus 6 is graphed below.
Oksana_A [137]

Answer:

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Step-by-step explanation:

if they have the same slope then they never intercept

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