Explanation

Geometric mean is the nth root of the product of n numbers.

It is used especially in growth rates, ratios, and proportions.

Explanation

A pie chart represents 360°, so the proportion is (60° / 360°) × 100 = 16.66%.

This means the given sector covers 1/6th of the total pie chart.

Explanation

Substitute n = 3 into the expression: 2²(3) + 17

Simplify the exponent: 2⁶ + 17

Calculate 2⁶: 64

Add 17: 64 + 17 = 81

Explanation

To convert 0.50% to a fraction:

0.50% = 0.50/100

= 0.0050

To simplify:

0.0050 = 5/1000

= 1/200

Explanation

Given the equation 6x + 5(3 - 1.4x) = 1.7:

Step 1: Distribute and simplify

6x + 15 - 7x = 1.7

-x + 15 = 1.7

Step 2: Solve for x

-x = 1.7 - 15

-x = -13.3

x = 13.3

Explanation

To compare fractions, convert them to decimal values:

7/9 = 0.777

5/6 = 0.833

8/9 = 0.888

8/7 = 1.142

The smallest value among them is 7/9.

Explanation

To convert degrees to radians, multiply degrees by π/180.

Formula: radians = degrees × (π/180).

Explanation

Given 2x - 6 = 0:

2x = 6

x = 6/2 = 3

Explanation

Let's denote Akram's weight as x. Since Ali weighs 25 pounds more than Akram, Ali's weight is x + 25.

Step 1: Formulate the equation based on their combined weight

x + (x + 25) = 205

Step 2: Solve the equation

2x + 25 = 205

2x = 180

x = 90

Step 3: Calculate Ali's weight

Ali's weight = x + 25 = 90 + 25 = 115

Explanation

To find 3/7 of 14:

(3/7) * 14 = 3 * 2 = 6