Explanation

I have seen that movie.

The present perfect tense is formed using:

have/has+past participle

Explanation

Everyone should bring their own lunch.

"Everyone": is a singular pronoun that refers to a group of people.

While grammatically "everyone" is singular, "their" is used as a gender-neutral pronoun to refer to the group.

Explanation

Utility Software: Helps maintain, analyze, and protect the computer (includes antivirus, disk cleanup, etc.)

System Software: Runs the hardware and system (e.g., OS like Windows)

Application Software: End-user programs (e.g., MS Word, Photoshop)

Development Software: Tools for programming (e.g., compilers, IDEs)

Explanation

The cube roots of unity are:  

1, ω, and ω², where:

- ω = -1/2 + (√3/2)i  

- ω² = -1/2 - (√3/2)i  

These are the complex cube roots of unity, and they satisfy:

1 + ω + ω² = 0  

and  

1 × ω × ω² = 1

Explanation

• A Row Matrix has only one row and multiple columns.

  $$[1 1 1] quad text{→ 1 row, 3 columns}$$

• Identical Matrix (probably meant "Identity Matrix") → has 1s on the diagonal and 0s elsewhere (square matrix).

Explanation

Terminating and recurring decimals both represent rational numbers.

Terminating decimals have a finite number of digits after the decimal point,

Recurring decimals have an infinite number of digits that repeat in a pattern.

Explanation

 "He is stronger than his brother."

"Stronger" is already a comparative adjective, so using "more" is incorrect — it's redundant.

Also, "then" should be "than" (used for comparisons), though "then" is a common typo in such cases.

Explanation

The set of positive integers is commonly referred to as the natural numbers or counting numbers

It is denoted by the symbol N or Z+.

This set includes all whole numbers greater than zero: 1, 2, 3, and so on. 

Explanation

$$lim_{x to a} (2x + 4)$$

Assuming the question meant:

lim​ x→3 ​(2x+4)

Then:

$$lim_{x to 3} (2x + 4) = 2(3) + 4 = 6 + 4 = 10$$x→3 (2x+4)=2(3)+4=6+4=10

Explanation

She has a big red ball

In English, when using multiple adjectives, we typically follow this order:

Opinion → Size → Age → Shape → Color → Origin → Material → Purpose + Noun

So in this case:

big = size

red = color

Correct order: "big red ball"