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3 years ago

How do I evaluate log 1/32?

Mathematics

2 answers:

stira [4]3 years ago

4 0

On a graphing calculator, hit Math, Alpha, Math. Then input your logarithmic function. Hope this helped! Good luck :)

Mandarinka [93]3 years ago

4 0

Answer:

1/5

Explanation:

Use logba=logcalogcb

Here,

log12(132)

=log(132)/log(12)

=−log2−log32

=log2 /log25

=log 25 /log2

=1/5

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nasty-shy [4]

The answer is 1/2lbs, here's how.

3/4x2/3=6/12 reduced to 1/2lbs.

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3 years ago

Determine the slope from the given graph below:

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2 years ago

Read 2 more answers

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

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3 years ago

How do you convert length to cm, in, ml etc.

UNO [17]

Answer:

Use an online converter but there is something you should know

Step-by-step explanation:

There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).

Converting measurements in the imperial system by memory is very hard, but converting measurements in the metric system is more simple.

It is easier to learn by images so here is an image that explains it

Keep in mind that measurements like inches and centimeters are for distance, while gram and ounces are for weight.

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2 years ago

g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and

scoray [572]

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

$Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\overline{x}$ = Sample mean , $\mu$ = population mean, $\sigma$ = population standard deviation, n= sample size.

As per given , n=10

$\mu$ = $29,056

$\sigma$ = $3,339

$\overline{x}$ = $31,650

Then,

$z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46$

Hence, the z-score = 2.46

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3 years ago