devyy The ratio of surface area to volume for a sphere is a fundamental geometric concept that can be derived from the formulas for the surface area and volume of a sphere. To find this ratio, we’ll start with the following formulas: Surface Area (A): The surface area of a sphere is calculated using the formula: … Read more
To find the slope and y-intercept of a line represented by the equation of the form ax + by = c, you need to rearrange the equation into the slope-intercept form, which is y = mx + b. In this formula: m represents the slope of the line. b represents the y-intercept, where the line … Read more
To determine the length of QS in parallelogram PQSR, we first need to understand the properties of a parallelogram. A parallelogram has opposite sides that are equal in length. This means that if we let the lengths of sides PQ and SR be equal to a, and the lengths of sides PS and QR be … Read more
To convert feet to inches, you need to know that there are 12 inches in a foot. This means that to convert any measurement in feet to inches, you simply multiply the number of feet by 12. So, if you want to find out how many inches are in 8 feet, you would perform the … Read more
To find the sum of the series from 1 to 9, you can simply add all the numbers together. The sequence is: 1 2 3 4 5 6 7 8 9 So, let’s sum them up: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 If we … Read more
To find a common multiple of two numbers, we can start by determining their individual multiples and then see which ones they share. For the numbers 5 and 9, their multiples are as follows: Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, … Multiples of 9: 9, 18, 27, 36, … Read more
Certainly! One example of a function that is positive for the entire interval from 2 to 3 is the quadratic function: f(x) = (x – 2.5)^2 + 0.1 This function is a parabola that opens upward, with its vertex located at (2.5, 0.1). Within the interval (2, 3), this function produces positive values because: At … Read more
To determine the next number in the sequence 2, 7, 8, 3, 12, 9, we first need to identify a pattern or rule that defines how the numbers are generated. Let’s break down the sequence: The first number is 2
To convert the whole number 107 into a mixed number, we start by understanding the definition of a mixed number. A mixed number is a combination of a whole number and a proper fraction. Since 107 is already a whole number and does not have a fractional part, it can be expressed as a mixed … Read more
To find the values of a, b, and c in the quadratic equation of the standard form: ax² + bx + c = 0 We start by identifying the coefficients from the given equation: 0x² + 3x + 2. From this equation: a is the coefficient of x², which is 0. b is the coefficient … Read more