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2 years ago

Evaluate 12. ( 4^-2/4^-4) A 1/4 B 3/4 C 16 D 192

Mathematics

2 answers:

alisha [4.7K]2 years ago

4 0

Answer:

Step-by-step explanation:

$4^{-2} /4^{-4}\\=0.0625/0.0039\\=16$

GuDViN [60]2 years ago

3 0

The answer is C) 16

xplanation

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Tell whether the angles are adjacent or vertical. Then find the value of x.

krok68 [10]

Answer : The angles are vertical angles and the value of x is $25^o$

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

$(4x-25)^o=75^o$

$4x-25^o=75^o$

$4x=75^o+25^o$

$4x=100^o$

$x=\frac{100^o}{4}$

$x=25^o$

Therefore, the angles are vertical angles and the value of x is $25^o$

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2 years ago

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IrinaK [193]

Answer:

-5 sorry if it's wrong. I tried.

5 0

2 years ago

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A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.

Natali [406]

Answer:

$y+9 = - 9x +18$

Step-by-step explanation:

Line is passing through the point $(2,\: - 9) =(x_1,\:y_1)$ and has slope (m) = - 9

General equation of line in point slope form is given as:

$y-y_1 = m(x-x_1)$

Therefore

$y-(-9) = - 9(x-2)$

$y+9 = - 9x +18$

This is the required equation of line in point slope form.

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2 years ago

A company is considering the purchase of a new machine for $75,660. management predicts that the machine can produce sales of $2

nekit [7.7K]

The company is considering the purchase of a new machine for $75,660 (based on the available data), and the payback period is <u>24 years</u>.

<h3>What is the payback period?</h3>

The payback period is the time the company requires to recoup its investment for the new machine.

The payback period can be computed by dividing the investment cash outflows by the annual net cash inflows.

<h3>Data and Calculations:</h3>

Initial investment in new machine = $75,660

Annual depreciation expense = $4,600

Investment period = 10 years

Annual sales revenue = $20,000

Annual expenses = $16,800

Ne annual cash inflow = $3,200 ($20,000 - $16,800)

Payback period = 24 years ($75,660/$3,200)

Thus, since the payback period is <u>24 years</u>, while the investment period is 10 years, it sounds unwise for the company to continue the investment.

Learn more about the payback period at brainly.com/question/23149718

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1 year ago

SURFACE AREA HELP ASAP!!

Norma-Jean [14]

Answer:

Step-by-step explanation:

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2 years ago

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