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3 years ago

If (-3, y) lies on the graph of y = (1/2)^x, then y =

1 answer:

6 0

$\text{If (-3, y) lies on the graph of}\ \ y = \left(\dfrac{1}{2}\right)^x, \text{then substitute x = -3}\\\text{ to the equation and calculate y}:\\\\y=\left(\dfrac{1}{2}\right)^{-3}=(2)^3=8\\\\Answer:\ \boxed{y=8}\\\\Used:\ a^{-n}=\dfrac{1}{a^n}$

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What is the simplified form of √144x^36

Nadusha1986 [10]

Answer:

The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

Step-by-step explanation:

Given : $\sqrt{144x^{36}}$

We have to write the simplified form of $\sqrt{144x^{36}}$

Consider the given expression $\sqrt{144x^{36}}$

We know $\sqrt{144}=12$

and $\sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}$

Thus,

$\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}$

Simplify, we have,

$=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}$

Thus, The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

6 0

3 years ago

Read 2 more answers

How do you work out this problem, step by step please I am so lost. Year Average Household Income (before taxes) Food Housing Tr

Hitman42 [59]

Answer:

(a)Food-12%

9b)Transportation-17%

Step-by-step explanation:

In the Year 2000

Average Household Income (before taxes)=$44,649
Amount Spent on Food =$5,158
Amount Spent on Transportation=$7,417

Therefore:

(a)Percentage of the average household income in 2000 was spent on food

$=\dfrac{5158}{44649} \times 100\\\\=11.55\%\\\\\approx 12\% $(to the nearest percent.)$

(b)Percentage of the average household income in 2000 was spent on transportation

$=\dfrac{7,417}{44649} \times 100\\\\=16.6\%\\\\\approx 17\% $(to the nearest percent.)$

3 0

3 years ago

One exterior angle of a regular polygon measures 97°. What is the measure of one interior angle?

3241004551 [841]

Hello :) = Merhaba :)

Answer:

Step-by-step explanation:

The total angle of a polygon and its external angle must be 180°.

So the inner angle of this polygon:

180 - 97 = 83° would.

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

<em><u>#Cevapistevereyim</u></em>

Başarılar :) = Achievements :)

4 0

3 years ago

20. A rectangle has a length of x + 2 meters and a width of 2x - 5. (A.APR.1)

bija089 [108]

Answer:

2(x + 2) + 2(2x - 5) =

2x + 4 + 4x - 10 =

6x - 6

perimeter = 6x - 6

(x+2)(2x - 5) expand the brackets:

2x² - 5x + 4x - 10

area = 2x² - x - 10

area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24

perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35

brainliest please? x

6 0

3 years ago

Which of the following expressions is equivalent to (8x)^2/3 ?

miv72 [106K]

Answer:

Step-by-step explanation:

Given the expression (8x)^2/3

This can also be expressed as;

(8x)^2/3

= (2^3x)^2/3

= (2³)^2/3 * x^2/3

= 2^2 * x^2/3

= 4x^2/3

Hence the equivalent expression is 4x^2/3

5 0

3 years ago