The prime factorization of a number is the process of breaking that number down into its prime number factors. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. To find the prime factorization of 30, we can start by dividing the number by the smallest prime number: Step … Read more
The number "seventeen thousand and seventeen" can be represented in figures as: 17,017 This number is made up of the following components: Seventeen thousand: This part is written as 17,000, where the digit 1 represents ten thousand, and the digit 7 represents seven thousand. Seventeen: The remaining part is written as 17. When combined, you … Read more
Trigonometric Values of 2π/3 Radians The angle 2π/3 radians is in the second quadrant of the unit circle. To find the sine, cosine, and tangent values of this angle, we can refer to the corresponding values from the reference angle. Reference Angle The reference angle for 2π/3 is given by: Reference angle = π – … Read more
To solve the equation 493 × 3432 × 1 and express each side in terms of base, we can start by simplifying the equation step by step. The given equation can initially be simplified because multiplying by 1 does not change the value. Therefore, we can focus on simplifying 493 × 3432. First, let’s perform … Read more
To identify the missing polynomial in the expression 20, 4x, 5x², 20, 7x², we first need to examine the given terms. These terms appear to be part of a polynomial sequence or expansion. Let’s break it down: 20: This may represent a constant term. 4x: This indicates a linear term. 5x²: This is a quadratic … Read more
A cube is a three-dimensional shape with all its sides being equal squares. To determine how many square faces make up the surface of a cube, we can break it down as follows: A cube has 6 faces. Each of these faces is a square. Therefore, since a cube has 6 square faces, the answer … Read more
The probability of rolling a specific number on a standard six-sided die is 1/6 because there are six equally likely outcomes (the numbers 1 through 6) and only one of them is a 4. When rolling the die multiple times, the events are independent. This means the outcome of one roll does not affect the … Read more
The graph of the linear inequality y < 7x + 4 represents a region in the two-dimensional Cartesian coordinate system. To understand this graph, we start by analyzing the corresponding linear equation, which is y = 7x + 4. 1. **Graphing the Boundary Line:**First, we plot the boundary line of the equation y = 7x ... Read more
To find the value of ‘a’ in the equation a² + 3a – 8 = 0, we can use the quadratic formula: a = rac{{-b ightarrow ext{±} ext{sqrt}{{b^2 – 4ac}}}}{2a} In our equation, we identify the coefficients: a = 1 (the coefficient of a²) b = 3 (the coefficient of a) c = -8 (the … Read more
The equation we need to analyze is: 3x + 6 = 1 + 3 + 4x First, let’s simplify the right side of the equation. Combining the constants gives us: 3x + 6 = 4 + 4x Next, we want to get all the terms involving x on one side of the equation. To do … Read more