We know that:
LCM × HCF = Product of the two numbers
Given:
LCM = 72
HCF = 3
First number = 18
Let's denote the second number as x.
Using the formula:
72 × 3 = 18 × x
216 = 18x
x = 216 / 18
x = 12
Let's evaluate the expression step by step:
1. Calculate 2022²:
2022² = 4,088,484
2. Calculate 1²:
1² = 1
3. Calculate 2022² - 1²:
4,088,484 - 1 = 4,088,483
4. Divide by 2021:
4,088,483 ÷ 2021 = 2023
Given the equation and solution path:
5^x + 2 - 5x = 600
If we interpret it as 5^(x+2) - 5^x = 600 (based on your calculation):
5^(2+2) - 5^2 = 5^4 - 5^2 = 625 - 25 = 600
This calculation implies x = 2 fits perfectly if the equation is treated as 5^(x+2) - 5^x = 600.
The value of x is 2.
Arthur Cayley, a British mathematician, introduced the modern concept of matrices in 1858.
He developed matrix algebra and its applications in linear transformations.
Let's calculate:
= 3⁰ = 1
= 3¹ × 3² = 3 × 9 = 27
= 1 + 27 - 1/3
= 9
Step 1: Convert 2.5 × 10^-1 to a fraction
2.5 × 10^-1 = 0.25 = 1/4.
Step 2: Calculate 1/2 + 1/4
To add these fractions, find a common denominator, which is 4. 1/2 = 2/4. So, 2/4 + 1/4 = 3/4.
640 × 1.50 = 960
So, the total cost of 640 photocopies at Rs. 1.50 each is Rs. 960.
Whole numbers are non-negative integers: 0, 1, 2, 3…
0 is a whole number.
The square root of 1/4 is:
√(1/4) = √1 / √4
= 1/2
In the Cartesian coordinate system:
Given P(2, -3), the x-coordinate is positive (+) and the y-coordinate is negative (-), so it lies in the 4th quadrant.
