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3 years ago

Simplify (2/9)^3 A.6/9 B.8/729 C.2/720

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

<u>Answer:</u>

$\frac{8}{729}$

<u>Explanation:</u>

Before we begin, remember that:

( $\frac{a}{b}$ )ⁿ = $\frac{a^n}{b^n}$

This means that power is distributed in case of division

The given is:

$(\frac{2}{9} )^3$

Applying the above rule, we would get:

$(\frac{2}{9} )^3$ = $\frac{2^3}{9^3} = \frac{2*2*2}{9*9*9} = \frac{8}{729}$

Hope this helps :)

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A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model y

IRINA_888 [86]

Answer:

Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The consideration "Given that a car is from the previous model year, there is a 10% chance that it is a coupe." wouldn't give much information. Previous year models are 10% Coupe and 25% Sedan.

Same for consideration "There is a 10% chance that the car is from the previous model year." This consideration would be good if only a specific model would be taken.

Consideration "There is a 10% chance that the car is a coupe." makes no sense because, in order for this to be true, 90% of specific models would be a sedan which table clearly shows 25%.

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3 years ago

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4

Ivanshal [37]

Answer:

$x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Step-by-step explanation:

$x=4\sqrt{3},\:x=-4\sqrt{3}$

Considering the expression

$x^2\:-\:48$

Solving

$x^2-48=0$

$x^2-48+48=0+48$

$x^2=48$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{48},\:x=-\sqrt{48}$

Solving

$x=\sqrt{48}$

= $\sqrt{2^4\cdot \:3}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

= $\sqrt{3}\sqrt{2^4}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}$

$\sqrt{2^4}=2^{\frac{4}{2}}=2^2$

$=2^2\sqrt{3}$

$=4\sqrt{3}$

So,

$x=4\sqrt{3}$

Similarly,

$x=-\sqrt{48}=-4\sqrt{3}$

Therefore, $x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

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Answer:

2 x 7 inches is 14 inches

Step-by-step explanation:

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A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed

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The students will earn $180 by washing cars for 9 hours.

In 3 hours the students will earn...

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5 dollars x 12 cars = 60 dollars

So in 3 hours the group of students will earn $60

In 9 hours the students will earn...

$60 x 3 = $180

Since the students will earn $60 per every 3 hours, you multiply $60 with 3 because if you divide 9 hours by 3 hours you will get 3. The answer you get by multiplying 60 by 3 is 180. Therefore the students can earn $180 from washing cars.

I hope this helps!

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3 years ago

You can mow one acre in 126 minutes. i can mow one acre in 117 minutes. how long will it take you to mow a 0.17-acre lawn? 13 in

Morgarella [4.7K]

a) (0.17 ac)×(126 min/ac) = 21.42 min

b) I can mow 1/126 ac/min; you can mow 1/117 ac/min. Together, we can mow at a rate that is the sum of these:

... (1/126 + 1/117) ac/min = (117 + 126)/(126×117) = 243/14,742 ac/min

Then it will take 14,742/243 min/ac × 0.17 ac/lawn ≈ 10.31 min/lawn

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