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To calculate the value of 5 to the power of 9, you would multiply 5 by itself a total of 9 times. This expression can be written mathematically as: 5^9 = 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 If we break it down step by … Read more

To find 15 percent of 150, you can follow a simple mathematical procedure. First, it’s important to understand that ‘percent’ means ‘per hundred.’ Therefore, 15 percent can be expressed as a fraction: 15/100. Now, to calculate 15 percent of 150, you can multiply 150 by 15/100: Step 1: Convert the percentage to a decimal. 15 … Read more

To find the next three terms in the sequence 2, 5, 10, 17, 26, we first need to identify a pattern in the differences between consecutive terms. Here are the terms of the sequence: 1st term: 2 2nd term: 5 3rd term: 10 4th term: 17 5th term: 26 Now, let’s calculate the differences: 5 … Read more

Driving a distance of 40 miles at a speed of 60 miles per hour (mph) can be calculated using the simple formula: Time = Distance / Speed. In this case, you would divide the distance (40 miles) by the speed (60 mph): Time = 40 miles / 60 mph When you perform the calculation, you … Read more

When we talk about raising a number to a power, we’re referring to the process of multiplying that number by itself a specified number of times. In the case of 20 raised to the power of 2, it means we will multiply 20 by itself. So, mathematically, it can be expressed as: 202 = 20 … Read more

To find out what 15 of 200 is as a percentage, you can follow a simple formula: Percentage = (Part / Whole) × 100 Here, the ‘Part’ is 15, and the ‘Whole’ is 200. Plugging in these values: Percentage = (15 / 200) × 100 Now, perform the division: 15 / 200 = 0.075 Next, … Read more

To find the area of a regular octagon, we can use the following formula: Area = (Perimeter × Apothem) / 2 In this case, we know that the side length of the octagon is 10. Since a regular octagon has 8 equal sides, we can easily calculate the perimeter: Perimeter = Number of Sides × … Read more

To determine the volume of a sphere, you can use the formula: V = (4/3) × π × r³ In this formula, V represents the volume, π (pi) is approximately 3.14159, and r is the radius of the sphere. Since the diameter of the sphere is given as 10 inches, we can find the radius … Read more

The title of the fastest human is generally attributed to Usain Bolt, the Jamaican sprinter who set the world record for the men’s 100 meters. He achieved this remarkable feat at the 2009 World Championships in Berlin, where he clocked an incredible time of 9.58 seconds. To put this into perspective in terms of speed, … Read more

To determine how long it will take to travel 80 miles at a speed of 80 miles per hour, we can use the formula for time: Time = Distance / Speed In this case: Distance: 80 miles Speed: 80 miles per hour Plugging in the numbers: Time = 80 miles / 80 miles per hour … Read more