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Solve for [tex]\( x \)[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]

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Simplify the expression.

[tex]\[ (3y + x)^{\frac{3}{2}} = \][/tex]

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Please choose the correct option.

Read the lines from "The Tide Rises, The Tide Falls."

"Darkness settles on roofs and walls,
But the sea, the sea in darkness calls;"

The imagery in these lines evokes a sense of:
A. laziness
B. fear
C. mystery
D. despair

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Which best explains why Irving sets "The Adventure of the Mysterious Stranger" in a land of "masks and gondolas"?

A. The setting is symbolic of the idea that a life of quiet study is the ideal pursuit.
B. The setting is symbolic of the idea that innocence cannot be outgrown.
C. The setting is symbolic of the idea that ease and affluence are available to all.
D. The setting is symbolic of the idea that appearances can be deceiving.

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An electric device delivers a current of [tex]\( 15.0 \, A \)[/tex] for 30 seconds. How many electrons flow through it?



Answer :

GinnyAnswer
Let’s carefully evaluate the expression [tex]\((3y + x)^{\frac{3}{2}}\)[/tex]. Break down the calculation into detailed steps:

1. Identify the Expression:
The given expression is [tex]\((3y + x)^{\frac{3}{2}}\)[/tex].

2. Exponent Interpretation:
The exponent [tex]\(\frac{3}{2}\)[/tex] can be interpreted in two ways:
[tex]\[ \left(3y + x\right)^{\frac{3}{2}} = (\left(3y + x\right)^{1.5}) \][/tex]
This can be further broken down as:
[tex]\[ (\left(3y + x\right)^{1.5}) = (\left(3y + x\right)^1 \cdot (\left(3y + x\right)^{0.5}))^3 \][/tex]
However, it's more common to simply treat [tex]\(\frac{3}{2}\)[/tex] as 1.5 for simplicity.

3. Final Expression:
Therefore, the simplified form of the expression remains:
[tex]\[ \boxed{(3y + x)^{1.5}} \][/tex]

This expression reveals the same relationship as initially defined, evaluated to [tex]\((3y + x)^{1.5}\)[/tex].

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