Explanation

The series is:

2×1^2+4×2^2+6×3^2+⋯

The 10th term is:

2n×n2^=2n^3

For $n=10$:

2(10)^3

$$=2\times 1000$$

=2000

Last updated 26-07-2026 by NA
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Explanation

Distance from origin formula: √(x² + y²)

For (2, 1): √(2² + 1²) = √(4 + 1) = √5.

Last verified on 26-07-2026

Explanation

When a power is raised to another power, multiply the exponents.

(2³)² = 2³×² = 2⁶.

Last verified on 26-07-2026

Explanation

The volume of the cubic room is 2744 m³. To find the length, we need to find the cube root of 2744.

Cube root of 2744 = 14

So, the length of the room is 14 m.

Last verified on 26-07-2026

Explanation

First 10 prime numbers are:  

2, 3, 5, 7, 11, 13, 17, 19, 23, 29  

Sum = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 = 129  

Arithmetic mean = Sum / Number of terms  

= 129 / 10  

= 12.9  

Last verified on 26-07-2026

Explanation

Average = Sum of numbers ÷ Number of numbers

5=2+7+9+10+x/5​
25=28+x
$$x=25-28$$

$$=-3$$

$$Last\; updated\; 25-07-2026\; by\; NA$$

Explanation

√4x-3=4

Squaring both sides:

4x−3=16
$$4x=19$$x=19​/4=4.75

$$Last\; updated\; 25-07-2026\; by\; NA$$

Explanation

0.003×0.02=0.00006

Last updated 25-07-2026 by NA

Explanation

Given:

• Distance = 300 km
• Speed of first train = 60 km/h
• Speed of second train = 90 km/h

Since they are moving toward each other, their relative speed is:

$$60+90=150\text{km/h}$$

Time:

300​/150=2 hours

Last updated 25-07-2026 by NA

Explanation

25%×120,000

=25/100​×120,000

= 30,000

Last updated 25-07-2026 by NA