devyy To find the value of the expression 3m² + 2p² + 15 given that m = 3 and p = 10, we will follow these steps: First, substitute the values of m and p into the expression. Calculate each term individually. Add the results together to find the final value. 1. Substitute the values: 3(3)² … Read more
To find the area of a sector of a circle, we can use the following formulas: 1. The formula for the arc length ( L) of a sector is: L = r × θ Where: L is the arc length, r is the radius of the circle, θ is the angle in radians. 2. The … Read more
Synthetic division is a simplified method of dividing polynomials, particularly useful for dividing by linear factors. To find the quotient of the polynomial 3×3 + 32×2 + 4x using synthetic division, follow these steps: Step 1: Set Up the Synthetic Division First, we need to organize the coefficients of the polynomial: For 3×3: the coefficient … Read more
To find the equation of a line that passes through two points, we need to use the slope-intercept form of the equation of a line, which is given by: y = mx + b where m is the slope of the line and b is the y-intercept. First, let’s calculate the slope (m) of the … Read more
The equation you’re looking at, x² + 1x – 90 = 0, is a quadratic equation. Quadratic equations can often be solved using the quadratic formula, which is given by: x = (-b ± √(b² – 4ac)) / 2a In this case, the coefficients are: a = 1 (the coefficient of x²) b = 1 … Read more
Calculating Total Pages Printed The town newspaper publishes one copy every day, featuring a total of 12 pages per copy. If they print a total of 11,980 copies daily, we can calculate the total number of pages printed every day as follows: Number of pages per copy: 12 Number of copies printed daily: 11,980 To … Read more
To solve the problem of how many ways you can invite 5 friends to a party from a selection of 8 friends, especially with the stipulation that 2 particular friends (let’s call them A and B) cannot attend together, we can use combinatorial methods. First, we should calculate the total combinations without any restrictions. The … Read more
To find the first and second derivatives of the function y = 5 sin(t) + 6 cos(t) with respect to t, we can follow these steps: Step 1: Finding the First Derivative (dydx) The first derivative of y with respect to t, denoted as dydx, can be calculated using the rules of differentiation. 1. Differentiate … Read more
To find the product of the expression 7√28√2, we can start by breaking it down step by step. 1. **Evaluate √28**: We can simplify √28 because 28 can be factored into prime factors: 28 = 4 × 7 Since 4 is a perfect square, we can take its square root: √28 = √(4 × 7) … Read more
To find the 18th term of the sequence 5, 8, 11, 14, 17, we first need to identify the pattern in the sequence. This is an arithmetic sequence since the difference between consecutive terms is constant. Let’s start by looking at the terms: 1st term: 5 2nd term: 8 3rd term: 11 4th term: 14 … Read more