Explanation

A microscope is a laboratory instrument used to examine objects that are too small to be seen by the naked eye.

It magnifies these tiny objects, allowing for detailed observation and analysis in various scientific fields.

Explanation

Ozone is a derivative of oxygen.

It consisting of three oxygen atoms (O₃) instead of the two found in diatomic oxygen (O₂). 

It plays a crucial role in protecting the Earth from harmful ultraviolet (UV) radiation.

Explanation

9000 + 16 2/3% of x = 10500

By converting the percentage to a fraction:

50/3 % = 50/(3*100) = 1/6

So, the equation becomes:

9000 + (1/6)x = 10500

Subtracting 9000 from both sides:

(1/6)x = 1500

Multiplying both sides by 6:

x = 1500*6

x = 9000

Explanation

The homework has been completed by the students.

In passive voice, the focus shifts to the object, and "has been" is used with the past participle to show the homework was completed by the students recently.

Explanation

Explanation

Let the breadth of the rectangular plot be x meters.

Since the length is thrice the breadth, the length is 3x meters.

The area of the rectangular plot is given as 867 sq m, which is equal to the product of the length and breadth: length × breadth = area.

So, we can write the equation: 3x × x = 867.

Simplifying the equation, we get: 3x^2 = 867.

Divide both sides by 3: x^2 = 289.

Take the square root of both sides: x = √289 = 17.

Therefore, the breadth of the rectangular plot is 17 meters.

Explanation

He said, “I go for a walk every morning.”

In direct speech, the present tense "goes" in the reported speech changes back to "go" to reflect habitual action, retaining the original meaning of the statement.

Explanation

8^𝑎 = 16^𝑏

We can rewrite 16 as 2^4, so:

(2^3)^𝑎 = (2^4)^𝑏

Using the power rule (a^m)^n = a^(mn), we get:

2^(3𝑎) = 2^(4𝑏)

Since the bases are equal (both are 2), we can equate the exponents:

3𝑎 = 4𝑏

Now, divide both sides by 3𝑏:

𝑎/𝑏 = 4/3

So, the ratio of 𝑎 to 𝑏 is 4:3 or 4/3.

Explanation

X + 7 = 77

Subtract 7 from both sides:

X = 77 - 7

X = 70

Now that we know X, we can find the product of 7 and X:

7 × X = 7 × 70

= 490

Explanation

He said, "Hurrah! Pakistan has won the Sahara Cup."

The phrase "exclaimed with joy" suggests happiness or excitement, reflected by "Hurrah!" in direct speech.

The past perfect tense in indirect speech ("had won") is converted to the present perfect ("has won") in direct speech.