How many terms are in the binomial expansion of 2x + 35?
To determine how many terms are in the binomial expansion of the expression 2x + 35, we can use the formula related to the expansion of a binomial expression. The general formula to find the number of terms in the binomial expansion of an expression of the form (a + b)n is given by n […]
How can we write 7452283 in international system?
To write the number 7452283 in the international system, we break it down according to its place values. The international system, also known as the Western numeral system, expresses numbers in grouped digits, typically using commas or spaces for clarity. We can express 7452283 as: 7 million (7,000,000) 4 hundred thousand (400,000) 5 ten thousand […]
Find the Surface Area of a Right Triangular Prism Calculator
To find the surface area of a right triangular prism, you need to calculate the areas of the triangular bases and the rectangular sides. A right triangular prism consists of two congruent triangular bases and three rectangular sides. The formula for the surface area (SA) of a right triangular prism can be expressed as: SA […]
What is 31 8 as a mixed number?
To convert the improper fraction 31/8 into a mixed number, you first divide the numerator (31) by the denominator (8). When you do this division, 31 divided by 8 is 3 with a remainder of 7. This means that 31 can be expressed as: 31/8 = 3 7/8 In this mixed number, 3 is the […]
What is 5 of 300?
To find 5 of 300, you simply need to calculate 5% of that number. The calculation involves multiplying 300 by 5 and then dividing by 100. This process can be broken down into a few clear steps: Multiply 300 by 5: 300 × 5 = 1500 Now, divide that result by 100: 1500 ÷ 100 […]
How do we simplify the square root of 3 times the square root of 21?
To simplify the expression √3 × √21, we can use a property of square roots. This property states that the square root of a product is equal to the product of the square roots. So we can rewrite the expression as: √3 × √21 = √(3 × 21). Next, we need to multiply the numbers […]
When Does sin x = 0?
The sine function, denoted as sin x, is equal to zero at specific points along the x-axis on the unit circle. To find out when sin x = 0, we need to understand the periodic nature of the sine function. Sin x is equal to zero at integer multiples of π (pi). This means that: […]
How to Find the Surface Area of a Trapezoidal Prism
To find the surface area of a trapezoidal prism, you’ll need to calculate the areas of its two trapezoidal bases and its rectangular lateral sides. Here’s a step-by-step guide: Identify the dimensions: You need the lengths of the two parallel sides of the trapezoid (let’s call them a and b), the height of the trapezoid […]
What is the prime factorization of 90?
To find the prime factorization of 90, we start by dividing it by the smallest prime number, which is 2. Since 90 is even, we can divide it by 2: 90 ÷ 2 = 45 Now, we continue with the next smallest prime number, which is 3. We can divide 45 by 3: 45 ÷ […]
What is 15% of 70?
To find 15% of 70, you can use a simple mathematical formula. First, convert the percentage into a decimal by dividing by 100. So, 15% becomes 0.15. Next, multiply this decimal by the number you’re interested in: 0.15 × 70 = 10.5 This means that 15% of 70 is 10.5. You can think of this […]