Explanation

Let's check each option:

1. 46656 = 36³

2. 2744 = 14³

3. 6125 = 18.29 (approx.), not a perfect cube of an integer

4. 13824 = 24³

The answer is 6125.

Explanation

In the term x², the coefficient is the number multiplying the variable.

Since nothing is written explicitly, the coefficient is understood to be 1.

Explanation

Explanation

Given:

(x + 1)(x - 5) = 0

This implies:

x + 1 = 0 or x - 5 = 0

Solving for x:

x = -1 or x = 5

Explanation

The third class in the frequency distribution corresponds to the class limits 15-19, and its frequency is given as 50.

Therefore, the frequency of the third class is 50.

Explanation

First, let's find the work rate of 10 men:

10 men construct 75 km in 5 days, so:

Work rate = 75 km / 5 days = 15 km/day for 10 men

Now, let's find the work rate for 15 men:

Work rate for 15 men = (15/10) × 15 km/day = 22.5 km/day

Now, let's find the time needed for 15 men to construct 45 km:

Time = Distance / Work rate

= 45 km / 22.5 km/day

= 2 days

Explanation

Explanation

When two successive discounts are given, use the formula:

Overall Discount (%) = A + B - (A × B) / 100

Where:

A = first discount = 10%

B = second discount = 14%

So:

= 10 + 14 - (10 × 14) / 100

= 24 - 1.4

= 22.6%

Explanation

Given x = 1:

x² + 1/x² = 1² + 1/1²

= 1 + 1

= 2

Explanation

To solve, subtract 3/7 from 10/7:

10/7 - 3/7 = 7/7 = 1.

Therefore, the missing value is 1.