25 is 40% of what number?
To find out what number 25 is 40% of, we can set up a simple equation. Let’s denote the unknown number as x. The equation we need is: 25 = 0.40 * x To solve for x, we can rearrange the equation: x = 25 / 0.40 Now, let’s do the division: x = 25 […]
How do you factor x² y²?
Factoring the expression x² y² can be accomplished by recognizing that it is a product of squares. The expression can be rewritten as: (xy)² This means that x² y² is the square of the product of x and y. Thus, to factor the expression you take the square root of x² y², which gives you […]
What is 0.015 Repeating as a Fraction?
To convert the repeating decimal 0.015 into a fraction, let’s designate it as x: x = 0.015151515… (where ’15’ repeats). Next, we can eliminate the repeating part by multiplying x by 1000, which moves the decimal point three places to the right: 1000x = 15.151515… Now, we can set up another equation by multiplying x […]
How Many MM in a CM?
A centimeter (cm) is a unit of length in the metric system, and it is equal to 10 millimeters (mm). This is because the prefix ‘centi-‘ means one hundredth, so one centimeter is one hundredth of a meter, while a millimeter is one thousandth of a meter. To put it simply, if you take one […]
What is the image of the point (17, 14) when rotated 270 degrees counterclockwise about the origin?
To find the image of the point (17, 14) after a 270-degree counterclockwise rotation about the origin, we can use the rules of rotation in the coordinate plane. When rotating a point (x, y) counterclockwise around the origin by 270 degrees, the new coordinates can be found using the following transformation: New x = y […]
What is the area of a circle with a radius of 5?
The area of a circle can be calculated using the formula: A = πr² Where A is the area, π (pi) is approximately 3.14, and r is the radius of the circle. In this case, the radius is 5. Plugging that into the formula gives: A = π × (5)² A = π × 25 […]
How to Find the Radius and Diameter of a Circle
To find the radius and diameter of a circle, you’ll need to understand the basic definitions of these two terms: Radius: The radius of a circle is the distance from the center of the circle to any point on its circumference. It is half the length of the diameter. Diameter: The diameter of a circle […]
How to Solve Roman Numerals
To solve Roman numerals, you first need to understand the basic symbols and their values: I = 1 V = 5 X = 10 L = 50 C = 100 D = 500 M = 1000 Once you know the values, the next step is to read the Roman numeral from left to right. If […]
How Many Grams Are in a Pound?
A pound is equal to 453.592 grams. This conversion is important to know if you’re working in a recipe that uses different measurement systems or when you’re dealing with weight in various contexts. The pound is a commonly used unit of weight in the United States and the United Kingdom, while grams are part of […]
How to Integrate 1 + sin(x)?
To integrate the function 1 + sin(x), we will break it down into two separate parts: The integral of 1 The integral of sin(x) First, let’s integrate 1: ∫ 1 \, dx = x Next, we integrate sin(x): ∫ sin(x) \, dx = -cos(x) Now, we can combine both results: ∫ (1 + sin(x)) \, […]