Explanation

The ozone layer exists about 30 km above the Earth's surface.

It is located in the stratosphere.

It plays a crucial role in blocking harmful ultraviolet radiation from the Sun.

Explanation

Amino Acids are the products of protein digestion.

Proteins are broken down into amino acids by enzymes.

They are then absorbed and utilized by the body.

Explanation

Science is typically divided into four main categories:

1. Natural Sciences: Focus on the physical world and its phenomena.
2. Formal Sciences: Concerned with abstract systems and logical reasoning.
3. Social Sciences: Explore human behavior and societal structures.
4. Applied Sciences: Use scientific principles to solve practical problems and develop technology.

Explanation

If x - a is a factor of P(x), then P(a) = 0.

This follows from the Factor Theorem, which states that if x - a is a factor of P(x), then P(a) must be zero.

Explanation

In matrix algebra, AB^1 = B^-1 A^-1.

This result follows from the property of inverses, where the inverse of a product of matrices is the product of their inverses in reverse order.

Explanation

If A^t = -A, then A is called skew-symmetric.

This means that the transpose of A is equal to the negative of A, which is a defining property of skew-symmetric matrices.

Explanation

A data set in the form of a frequency distribution is called grouped data.

This format organizes data into intervals or groups.

This making it easier to analyze and summarize.

Explanation

A cubic polynomial has a degree of 3.

This is because the highest power of the variable in a cubic polynomial is 3.

Explanation

The expression a^3 + 3ab(a+b) + b^3 simplifies to (a + b)^3.

This follows from the expansion of (a + b)^3, which is a^3 + 3a^2b + 3ab^2 + b^3.

Explanation

An irrational number that contains a radical sign is called a surd.

A surd is an expression with a root that cannot be simplified to remove the root, such as √2.