Explanation

Carbon dioxide (CO₂) is the gas used to carbonate beverages.

It dissolves in the liquid under pressure, creating bubbles and giving the drink its characteristic fizz.

Explanation

Bleach is commonly used as a disinfectant to prevent the spread of illness and disease.

Bleach:

Typically, household bleach contains sodium hypochlorite, which is effective at killing bacteria, viruses, and fungi.

It is widely used in cleaning and disinfecting surfaces, laundry, and water to eliminate harmful microorganisms and reduce the risk of infection.

Explanation

In a DC (direct current) circuit, the most fundamental and commonly referenced basic circuit element is the resistor.

Here's why:

Resistor: In a DC circuit, a resistor is used to control the current and voltage levels.

It provides a specific amount of resistance, which determines how much current will flow for a given voltage according to Ohm's Law (𝑉 = 𝐼/𝑅).

Explanation

Explanation

The domain of a relation is the set of all first elements in the ordered pairs. For the relation R: 

So, the domain of  𝑅 is {4,5,6}.

Explanation

The set $left{frac{p}{q} : p, q in mathbb{Z}, q neq 0right}$ represents the set of rational numbers.

Rational Numbers: A number is considered rational if expressed as the quotient $frac{p}{q}$, where $p$ and $q$ are integers and $q\mathrm{\ne }0$

This set includes numbers like $frac{1}{2}$, $-frac{3}{4}$, and $7$ (which can be written as $frac{7}{1}$).

Explanation

Explanation

Explanation

In the expression ln (𝑎^𝑛), 𝑛 is called the exponent.

Here’s a breakdown:

• ln denotes the natural logarithm function, which uses the base e(where e≈2.718).
• 𝑎 is the base of the exponentiation. 
• n is the exponent, which tells you how many times a is multiplied by itself.

Explanation

To calculate the exercise duty at a rate of 150% on an amount of Rs 3,00,000, you need to follow these steps:

Understand the Rate: The rate of 150% means you need to calculate 150% of Rs 3,00,000.

Convert the Percentage to a Decimal: 150% can be written as 1.5 in decimal form.

Multiply the Amount by the Rate:

Exercise Duty=Amount×Rate

Exercise Duty=3,00,000×1.5

Exercise Duty=4,50,000