Explanation

The cosine function is defined for every real value of θ.

Therefore, its domain is all real numbers.

Last verified on 04-09-2026

Explanation

100% means the whole amount.

So, 100% of 200 = (100/100) × 200 = 200.

Last verified on 04-09-2026

Explanation

When we divide numbers with same base we subtract the powers. 

First 2^40 / 2^19 gives 2^(40-19) = 2^21. 

Then 2^21 / 2^13 gives 2^(21-13) = 2^8.

Last verified on 04-09-2026

Explanation

=SUM(A1:A3) means add A1 + A2 + A3

A1 = 2  

A2 = 4  

A3 = 6  

2 + 4 + 6 = 12

Last verified on 04-09-2026

Explanation

Mode = the number that appears most often in the data.

Given data: 40, 45, 45, 50, 60

Count:  

40 appears 1 time  

45 appears 2 times  

50 appears 1 time  

60 appears 1 time  

45 appears the most.

Last verified on 03-09-2026

Explanation

3+1 = 4

4+3 = 7

7+1 = 8

8+3 = 11

11+1 = 12

12+3 = 15

Last verified on 03-09-2026

Explanation

Ratio of Math : Physics : Chemistry = 3 : 4 : 5

Total parts = 3 + 4 + 5 = 12 parts

Total marks = 84,000

Value of 1 part = 84,000 / 12 = 7,000

Marks in Physics = 4 parts = 4 * 7,000 = 28,000

Last verified on 03-09-2026

Explanation

Sum: 30 + 15 = 45

Difference: 30 − 15 = 15

Last verified on 03-09-2026

Explanation

Solve: (2x + 3) / (x - 1) = 3

2x + 3 = 3(x - 1)  

2x + 3 = 3x - 3  

3 + 3 = 3x - 2x  

x = 6

Last verified on 04-05-2026

Explanation

Formula: (Part / Total) _ 100

Here Part = 80, Total = 120

Percentage = (80 / 120) _ 100  

= (2 / 3) * 100  

= 66.666...%

Last verified on 03-09-2026