## 25.4 in Scientific Notation

Let’s convert the number 25.4 into scientific notation step by step. Scientific Notation Format: Scientific notation represents numbers in the format a×10n where ∣a∣ < 10 and n is an integer. Step-by-step Conversion: Determine the “a” value: For the number 25.4, the digit “2” is the first non-zero digit. We want to place a decimal…

## John bought a used truck for \$4,500. He made an agreement with the dealer to put \$1,500 down and make payments of \$350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest?

To find the actual yearly rate of interest, we will follow these steps: Let’s go step by step: Total = \$1,500 + \$3,500 = \$5,000 Total = \$1,500 + \$3,500 = \$5,000 We can now calculate the actual yearly interest rate using the given numbers. The extra cost paid by John by taking this deal…

## State Henry’s law for solubility of a gas in a liquid. Explain the significance of Henry’s law constant (KH). At the same temperature, hydrogen is more soluble in water than helium. Which of them will have a higher value of KH and Why?

Henry’s Law states that the solubility of a gas in a liquid is directly proportional to the partial pressure of that gas on the surface of the liquid, provided the temperature remains constant. Mathematically, it can be expressed as: C = KH​×P Where: Significance of Henry’s Law constant (KH​): The value of KH​ provides a…

## What is meant by stock solution (or) standard solution? What is meant by working standard?

In the context of calibration and quality control in analytical chemistry, a stock solution might be a primary standard (a compound of known purity). In contrast, a working standard would be a secondary standard (a solution prepared from the primary standard). The primary standard is used to prepare the secondary standard, and the secondary standard…

## Mention the names of any four statistical tools.

Each tool has its strengths and is suited for particular analyses and datasets.

## Given example of a relation which is reflexive and transitive but not symmetric.

Here’s an example of a relation on the set A = {1,2,3} which is reflexive and transitive but not symmetric: Let’s define the relation R on set A as R = {(1,1),(2,2),(3,3),(1,2),(2,3)} Therefore, the relation R is reflexive, transitive, but not symmetric.

## [Solved]The value of a new car is £18,000. The value of the car decreases by 25% in the first year and 12% in each of the next 4 years. Work out the value of the car after 5 years.

Solution: From the question, it is given that the value of a new car is £18,000. The value of car decreased by 25% in the first year. Now we will find the value of the car after it decreased by 25% 25% of 18000=£4500 Value of car after it decreased by 25% = Initial value…

## A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of \$5 and an amount based on the weight in pounds of the box, \$2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

Verified Answer: A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of \$5 and an amount based on the weight in pounds of the box, \$2.25 per pound. Which equation represents the shipping cost as a function of x, the weight…

## [Solved] The price of a toy, usually costing £50 is increased to £65. What is the percentage

Step 1: Identifying the Initial and Final Prices The initial step in this problem is to identify the starting and ending prices of the toy. According to the question, the toy initially costs £50, and the price is increased to £65. Step 2: Understanding Percentage Increase The concept of “percentage increase” refers to how much…

## [Solved]The price of a toy usually costing £50 is increased to £65. What is the percentage

Step 1: Identifying the Initial and Final Prices The initial step in this problem is to identify the starting and ending prices of the toy. According to the question, the toy initially costs £50, and the price is increased to £65. Step 2: Understanding Percentage Increase The concept of “percentage increase” refers to how much…