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2 years ago

What is the mean of this data set: 18, 15, 33, 34, 55

Mathematics

1 answer:

WARRIOR [948]2 years ago

8 0

Answer:

Step-by-step explanation:

33-15=18 I belive that is the mean

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Step-by-step explanation:

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2 years ago

How much water must be evaporated from 130 gallons of a 9% acid solution to make a 12% acid solution?

Bad White [126]

Answer: 33 gallons

Step-by-step explanation:

We initially have 130 gallons of a $9\%$ acid solution and we need to change it to a $12\%$ acid solution, and for that it is necessary to evaporate $n$ gallons of water.

So, this situation can be mathemtically expressed as follows:

$(130)(9\%)=(130-n)(12\%)$

Then:

$(130)(\frac{9}{100})=(130-n)(1\frac{12}{100})$

Isolating $n$ :

$11.7=15.6-0.12 n$

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Hence, we need to evaporate 33 gallons of water.

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3 years ago

The graph of g(x)=(0.5)x+4 is shown. Which equation is an asymptote of this function? y = 0 y = 4 x = 4 x = 0

Alexandra [31]

we are given

$g(x)=(0.5)^x+4$

we can see that

there is no value of x for which g(x) is not defined

so, no vertical asymptote exists

now, we will find horizontal asymptote

$\lim_{x \to \infty} g(x)= \lim_{x \to \infty}((0.5)^x+4 )$

$\lim_{x \to \infty} g(x)= (\lim_{x \to \infty} (0.5)^x+\lim_{x \to \infty} 4 )$

$\lim_{x \to \infty} g(x)= 0+4$

so, we get

horizontal asymptote as

$y= 4$ ............Answer

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2 years ago