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Verified Answer :

Two-fifths (\(\frac{2}{5}\)) of the square of the number j (j²)

 \(\frac{2}{5}\)j²

Here we have a mathematical phrase, and we want to transform this into an algebraic expression.

We will find that the expression is:

\((2/5) \cdot j^2\)

The phrase is:

"two-fifths of the square of the number j"

First, two-fifths of y is written as

\((2/5) \cdot y\)

The square of a number x is written as:

x^2

Then the whole phrase "two-fifths of the square of the number j" can be written as:

\((2/5) \cdot j^2\)

This is:

(2/5) times j squared.

or just:

\((2/5) \cdot j^2\)

If you want to learn more, you can read:

https://brainly.com/question/11227332