Is every integer a rational number? True or False?
True. Every integer is indeed a rational number. A rational number is defined as any number that can be expressed as the quotient of two integers, where the denominator is not zero. For example, an integer like 5 can be expressed as 5/1, where both 5 and 1 are integers and the denominator (1) is […]
What is 23 of 24?
To find out what 23 of 24 means, we can interpret it as a simple fraction or percentage. If we take 23 as a part and 24 as a whole, we can express this relationship mathematically. To calculate, we divide 23 by 24: 23 ÷ 24 = 0.9583… This result can be expressed as a […]
What is the next number in the sequence 9, 3, 1, 13?
To find the next number in the sequence 9, 3, 1, 13, we need to analyze the pattern of the numbers. Let’s look at the differences between consecutive terms: 3 – 9 = -6 1 – 3 = -2 13 – 1 = 12 The differences are: -6, -2, and 12. There doesn’t seem to […]
What is 12 to the power of 4?
12 to the power of 4, written as 124, means multiplying 12 by itself four times. So, it’s calculated as: 12 × 12 × 12 × 12 Let’s break it down step by step: First, multiply 12 by 12, which equals 144. Next, take that result (144) and multiply it by 12 again, giving you […]
What is the prime factorization of 32?
The prime factorization of 32 is 2 × 2 × 2 × 2 × 2, or it can also be written as 25. To understand how we arrive at this factorization, let’s break it down step by step. Prime factorization is the process of expressing a number as the product of its prime factors. A […]
What is 3 25 as a decimal?
To convert the mixed number 3 25 into a decimal, you first need to convert it into an improper fraction. The number 3 can be represented as 3/1, and 25 as 25/1. To combine them, you multiply the whole number (3) by the denominator of the fraction (1), which gives you 3. Then, you add […]
Which solution to the equation 1x + 1 x 2 + 2x² = 2 is extraneous?
To determine which solution to the equation is extraneous, we first must clarify the equation. It appears there may have been a typographical error, and we interpret it as: 1x + 1x^2 + 2 = 2 Next, let’s simplify the equation: 1x + 1x^2 + 2 – 2 = 0 Which simplifies to: x^2 + […]
What is 3 to the power of 12?
3 to the power of 12, written as 312, means multiplying the number 3 by itself 11 more times. This can be represented as: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 When calculated, 312 equals 531441. This result can […]
What is the factored form of 3x² + 5x + 2?
To find the factored form of the quadratic expression 3x² + 5x + 2, we will first look for two numbers that multiply to give us the product of the coefficient of x² (which is 3) and the constant term (which is 2), resulting in 3 * 2 = 6. We also need these two […]
What is 2 raised to 12th power?
2 raised to the 12th power, or 212, equals 4096. This calculation can be understood as multiplying 2 by itself 12 times: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. If you break it down, you can calculate it in […]