Explanation

Explanation

• The negation of a given number is a unary operation, as it takes only one operand (the number itself) and returns its negative value.
• Unary operations are operations that take only one argument or input, unlike binary operations, which take two arguments or inputs.
• In this case, the negation operation (-) takes a single number as input and returns its negative value, making it a unary operation.

Explanation

• In the simplex method, the slack, surplus, and artificial variables are restricted to be non-negative.
• This means that their values must be greater than or equal to zero.

Explanation

Given the equation x - 1 = 0,

we can solve for x by isolating it on one side of the equation.

1. Equation:

x - 1 = 0

2. Adding 1 to both sides:

x - 1 + 1 = 0 + 1

3. Simplifying:

x = 1

Explanation

The octal numeral system is the base-8 number system and uses the digits 0 to 7.

That means there are only 8 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7) used to form other numbers.

ND5-07-2023

Explanation

If * is a binary operation in A, then it means that for all elements a, b in A, the result of the operation a * b is also an element in A. This is the definition of closure under a binary operation.

Explanation

The series obtained by adding the terms of a geometric sequence is called a geometric series

Explanation

The expression is a variation of the trigonometric identity:

cos^2(x) + sin^2(x) = 1

In this case, the expression is:

cos^2(θ/2) + sin^2(θ/2)

Using the identity, we can simplify the expression to: 1

Explanation

A rectangle is a four-sided shape with four right angles (90-degree angles).

There are two types of special rectangles including:

the square 

the Fibonacci rectangle.

Explanation

The given set is a set of sets, also known as a collection of sets. It contains two elements:

1. {1, 2, 3} (a set of three elements)
2. {4, 5} (a set of two elements)