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Goshia [24]
2 years ago
15

When 9^2/3 is written in simplest radicsl form, which value remains under the radical? 3 6 9 27

Mathematics
2 answers:
finlep [7]2 years ago
7 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 9^{\frac{2}{3}}\implies (3^2)^{\frac{2}{3}}\implies 3^{2\cdot \frac{2}{3}}\implies 3^{\frac{4}{3}}\implies \sqrt[3]{3^4}\implies \sqrt[3]{3^3\cdot 3^1}\implies 3\sqrt[3]{\stackrel{\textit{this one}}{3}}

faust18 [17]2 years ago
3 0

Answer:

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 9^{\frac{2}{3}}\implies (3^2)^{\frac{2}{3}}\implies 3^{2\cdot \frac{2}{3}}\implies 3^{\frac{4}{3}}\implies \sqrt[3]{3^4}\implies \sqrt[3]{3^3\cdot 3^1}\implies 3\sqrt[3]{\stackrel{\textit{this one}}{3}}

Step-by-step explanation:

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What equals -9 + 6 please help me pleassssssse
AURORKA [14]

Answer:

-3

Step-by-step explanation:

since the 9 in negative you subtract 9 by 6 and you get 3 then you put the negative sign in front of the 3 making it -3

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2 years ago
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ivann1987 [24]
-6/7
Negative six over seven
6 0
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Can someone help me with this
Jobisdone [24]
9+7=16 and 5+8=13
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5 0
3 years ago
Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.
DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.   How many more hours  does Liza have to drive?

<em><u>Answer:</u></em>

Liza need to drive 2 more hours to reach her sister house

<em><u>Solution:</u></em>

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240

So Liza has covered 240 miles in 4 hours

Let us find the speed

<em><u>The relation between distance and speed is given as:</u></em>

speed = \frac{distance}{time}

speed = \frac{240}{4} = 60

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2

Thus Liza need to drive 2 more hours to reach her sister house

4 0
3 years ago
John’s parents recorded his height at various ages between 36 and 66 months.
timurjin [86]

Answer:

Step-by-step explanation:

a)General least square regression line is ,

Y=a+(b*x)

Where,a=intercept. b= slope

To get line just find values of a and b.

Use Excel to find values.

First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.

Then for value of a use functufuas ,

=INTERCEPT(A1:A5,B1:B5)

Then hit enter ,therefore a=20.4595

For b use function as. =SLOPE(A1:A5,B1:B5)

Then hit enter.therefore b=0.3738

Therefore equation of least square regression line is

Y=20.4595+(0.3738*x)

b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.

Y=20.4595+(0.3738+252)

Y=20.4595+94.1976

Y=114.6571

Conclusion: height will be 114.6571 inches when age change by 1 unit.

7 0
2 years ago
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