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Dennis_Churaev [7]
4 years ago
8

Which expression is equivalent to StartRoot StartFraction 2 x Superscript 5 Baseline Over 18 EndFraction EndRoot? Assume x great

er-than-or-equal-to 0. StartFraction x squared StartRoot x EndRoot Over 3 EndFraction StartFraction 3 StartRoot x EndRoot Over x squared EndFraction StartFraction StartRoot x EndRoot Over 3 x squared EndFraction StartFraction 2 x StartRoot x EndRoot Over 3 EndFraction
Mathematics
2 answers:
german4 years ago
6 0

Answer:

A. \frac{x^2\sqrt{x}}{3}

Step-by-step explanation:

We have been given an expression \sqrt{\frac{2x^5}{18}}. We are asked to find which expression is equivalent to our given expression.

Let me simplify our given expression. First of all we will divide 18 by 2 as:

\sqrt{\frac{2x^5}{2\cdot 9}}

\sqrt{\frac{x^5}{9}}

Now we will rewrite x^5 \text{ as } x^4\cdot x.

\sqrt{\frac{x^4\cdot x}{9}}

Now we will write x^4\text{ and } 9 as perfect squares.

\sqrt{\frac{(x^2)^2\cdot x}{3^2}}

Let us factor our perfect square from square-root.

\frac{x^2\sqrt{x}}{3}

Therefore, option A is the correct choice.

Elodia [21]4 years ago
5 0

Answer:

it's A on edge

Step-by-step explanation:

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A $15 pillow with a $30% discount.
Hoochie [10]

Answer:

$10.50, the difference is $4.50

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3 years ago
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Write as a decimal<br> A) 407 tenths <br> B) 209 hundredths
castortr0y [4]

Answer:- A) 407 tenths =40.7

B) 209 hundredths=2.09


Explanation:-

We know that one tenth=\frac{1}{10} and one hundredth =\frac{1}{100}

A) 407 tenths

=\frac{407}{10}=40.7

Thus decimal form of 407 tenths is 40.7.

B) 209 hundredths

=\frac{209}{100}=2.09

Thus decimal form of 209 hundredth is 2.09.

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3 years ago
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Can anyone help plz thanks if u help
s344n2d4d5 [400]

Answer:

   68.04 cm^3

Step-by-step explanation:

The volume of the prism is given by

V = Bh

where B is the area of the base and h is the height

B - area of the triangle

B = 1/2 bh = 1/2 (5.4) (3.6) = 9.72

The volume is

V = 9.72*7

   68.04 cm^3

5 0
3 years ago
What is the area of the rectangle
aliya0001 [1]
a^4+2a+8 because if you combine like terms that is what you get
3 0
3 years ago
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A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours l
anygoal [31]

Answer:

6-hours

D = C + T

Step-by-step explanation:

The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...

C = 45x

T = 60x

Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...

45(x+2) = 60x  ... distribute 45 evenly

45x + 90 = 60x ... subtract 45x from both sides

90 = 15x  ... divide both sides by 15

6 = x

Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...

D = C + T

3 0
3 years ago
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