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To convert milliliters to liters, you need to know the conversion factor between these two units of volume. The basic conversion is: 1 liter (l) = 1000 milliliters (ml) Given that you have a sample volume of 25 milliliters, you can convert this to liters by using the following formula: Volume in liters (l) = … Read more

To find the first five terms of the sequence given by the formula an = 4n + 1, we need to substitute values of n starting from 1 and increasing by 1 until we reach 5. For n = 1: a1 = 4(1) + 1 = 4 + 1 = 5 For n = 2: … Read more

The number 48,049,831 is named in the international numbering system as forty-eight million, forty-nine thousand, eight hundred thirty-one. To understand how this number is broken down: The first part, 48, represents the millions. Therefore, it translates to forty-eight million. The next part, 049, includes leading zeroes typically not stated in the name, signifying forty-nine thousand. … Read more

The area of a circle can be calculated using the formula: A = πr², where: A is the area of the circle. π (pi) is a constant approximately equal to 3.14159. r is the radius of the circle. In this case, the radius (r) of the circle is given as 1. Plugging this value into … Read more

To find the probability of Z being greater than 1.25 in the standard normal distribution, we first need to understand what the standard normal distribution is. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The Z-scores indicate how many standard deviations an element is … Read more

To factor the polynomial expression 15x³ + 5x² + 6x + 2 by grouping, we will follow a systematic approach. Here’s how we do it: First, let’s group the terms: (15x³ + 5x²) + (6x + 2) Next, we factor out the common factors from each group: From the first group (15x³ + 5x²), we … Read more

To find the solutions of the quadratic equation x² + 7x + 4, we can use the quadratic formula, which is given by: x = (-b ± √(b² – 4ac)) / (2a) In our equation, we identify the coefficients as follows: a = 1 (the coefficient of x²) b = 7 (the coefficient of x) … Read more

Angles that share a vertex but do not share a side are referred to as vertically opposite angles. To elaborate, when two lines intersect, they create two pairs of opposite angles. Each angle in one pair is opposite to the angle in the other pair, and they share a common vertex, but their sides do … Read more

To solve the equation 2×2 = 2, we can start by simplifying it. First, divide both sides of the equation by 2: x2 = 1 Next, to find the values of x, we take the square root of both sides: x = ±1 This means that the solutions to the equation are x = 1 … Read more