When we talk about 5 to the power of 0, we’re referring to the expression 5^0. In mathematics, any non-zero number raised to the power of 0 is equal to 1. This may seem a bit counterintuitive at first, but it can be understood through the rules of exponents. To break it down, let’s think … Read more
To find the result of 15 raised to the power of 2, also written as 152, you simply multiply 15 by itself. This calculation can be expressed mathematically as: 152 = 15 × 15 Now, let’s do the multiplication: 15 × 15 = 225 Therefore, the result of 15 raised to the power of 2 … Read more
To find out what 34 divided by 8 is, you can perform the division operation. When you divide 34 by 8, you are essentially determining how many times 8 can fit into 34. Calculating that gives: 34 ÷ 8 = 4.25 This means that 8 fits into 34 a total of 4 whole times, with … Read more
To convert 16:50 from military time (also known as 24-hour time) to standard time (12-hour time), you need to break it down as follows: The first two digits represent the hour, and the last two digits represent the minutes. In this case, 16:50 means: 16 hours 50 minutes Since 16 is greater than 12, we … Read more
To calculate 10 percent of 30, you can follow these simple steps. First, understand that ‘percent’ means per hundred. Therefore, 10 percent can be expressed as a fraction or a decimal. In this case, 10 percent is equivalent to 10/100 or 0.10. Now, to find 10 percent of 30, you multiply 30 by 0.10: 30 … Read more
The values of sin(∞) and cos(∞) can be somewhat confusing at first glance, especially if you’re accustomed to thinking about trigonometric functions in terms of concrete angles or finite values. To understand these concepts better, we need to recognize that both sine and cosine are periodic functions. 1. Understanding Periodicity: Sine and cosine functions are … Read more
No, the numbers 4, 6, 8, and 12 are not equal to each other. Each number has a different value, which can be easily seen by comparing them directly: 4 is less than both 6 and 8, and significantly less than 12. 6 is greater than 4 but less than 8 and 12. 8 is … Read more
To convert the improper fraction 27/8 into a mixed number, follow these steps: First, divide the numerator (27) by the denominator (8). When you perform the division, you get: 27 ÷ 8 = 3 with a remainder. This means that 8
To convert 11 percent into a fraction, follow these steps: Understand that ‘percent’ means ‘per hundred.’ Therefore, 11 percent can be written as: 11% = 11/100 Now, check if the fraction 11/100 can be simplified. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1. The … Read more
To convert the mixed number 4 3/8 into a decimal, we will break it down into two parts: the whole number and the fractional part. The whole number is 4. Next, we need to convert the fraction 3/8 to a decimal. To do this, we can divide the numerator (3) by the denominator (8): 3 … Read more