The curved surface area of a cylinder is the area of the lateral surface of the cylinder, which does not include the top and bottom faces.

Division with decimals involves dividing one number by another, where one or both numbers have decimal points. It is used when we need to find the quotient or the result of dividing quantities that i…

The square root is the number that you multiply by itself to get another number. For example, the square root of 16 is 4, because 4 multiplied by itself equals 16.

A percentage is a way of expressing a fraction or part of something as a number out of 100. For example, if you have 50 out of 100, that's the same as 50%.

A method of calculating interest on a loan or investment based only on the original principal amount, without taking into account any compounding or additional interest over time. Calculated as the p…

The percentage difference is the difference between two numbers expressed as a percentage of the original number. For example, if the original number is 100 and the difference between that number and…

The percentage error is the difference between an estimated value and the actual value expressed as a percentage of the actual value. For example, if you estimate the weight of an object to be 10 pou…

A mathematical concept that represents the point that is equidistant from two given points in a Cartesian coordinate system. Calculated as the average of the x-coordinates and the y-coordinates of th…

A mathematical operation that calculates the remainder when one number is divided by another. Denoted by the symbol "%", it is commonly used in computer programming, cryptography, and number theory f…

Solving simple linear equations and working with basic algebraic expressions. Widely used in mathematics, physics, engineering, and everyday life for solving simple mathematical problems and understa…

in algebra, combining like terms is the process of simplifying an expression by combining terms that have the same variables and exponents. For example, in the expression 3x + 2y + 5x - 4y, the like …

Mathematical equations that describe a linear relationship between two or more variables, typically in the form of y = mx + b, where m represents the slope, b represents the y-intercept, and x and y …

A collection of two or more equations with multiple unknown variables that are solved together to find the values of the unknowns that satisfy all the equations simultaneously. Can be linear or nonli…

The equation of a line from two points is the formula for finding the equation of a straight line when given two points on the line.

In mathematics, a combination is a way of selecting items from a larger set where the order of the items does not matter. The number of combinations of n items taken k at a time is calculated using t…

A permutation is an arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is calculated using the formula nPr=n!/(n−r)!, where n! is the factorial of …

The fourth angle of a quadrilateral is the measure of the angle opposite the angle that is adjacent to both angles of the quadrilateral.

The sum of the interior angles of a polygon is the total of all the angles inside the polygon.

The interior angle of a regular polygon is the angle between two adjacent sides of the polygon.

The surface area of a cylinder is the total area of all its faces, including the top and bottom faces and the lateral surface.

The surface area of a cone is the total area of all its faces, including the base and lateral surface.

The surface area of a pyramid is the total area of all its faces, including the base and lateral surface.

The measure of space occupied by a cube, which is a three-dimensional geometric shape with six equal square faces that meet at right angles. The volume of a cube is calculated using the formula V = s…

The measure of space occupied by a cuboid, which is a three-dimensional geometric shape with six rectangular faces that meet at right angles. The volume of a cuboid is calculated using the formula V …

The measure of space occupied by a cylinder, which is a three-dimensional geometric shape with two parallel circular bases connected by a curved lateral surface. The volume of a cylinder is calculate…

The measure of space occupied by a cone, which is a three-dimensional geometric shape with a circular base that tapers to a point called the apex. The volume of a cone is calculated using the formula…

The measure of space occupied by a pyramid, which is a three-dimensional geometric shape with a polygonal base and triangular sides that meet at a common point called the apex. The volume of a pyrami…

The measure of space occupied by a sphere, which is a three-dimensional geometric shape with a curved surface that is equidistant from a common center point. The volume of a sphere is calculated usin…

The measure of space occupied by a hemisphere, which is half of a sphere, a three-dimensional geometric shape with a curved surface that encloses a volume. The volume of a hemisphere is calculated us…

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

The area of a sector of a circle is the measure of the amount of space inside the sector, which is a portion of the circle enclosed by two radii and an arc.

The area of a circle given the center and a point on the circle is the measure of the amount of space inside the circle, given the center and one point on the circle.

The Fibonacci series is a sequence of numbers in which each number is the sum of the two preceding numbers, starting from 0 and 1. The series typically starts with 0, 1, and then each subsequent numb…

A sequence of numbers in which each number is the sum of the two preceding numbers, starting from 0 and 1. The nth Fibonacci number is commonly denoted as F(n) and can be calculated using various met…

Binary-Coded Decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of binary bits. Decimal to BCD conversion is the process of conv…

Binary-Coded Decimal (BCD) is a class of binary encodings of decimal numbers in which each decimal digit is represented by a fixed number of binary digits. BCD to Decimal conversion is a process of c…

Decimal to octal conversion is the process of converting a decimal number to its equivalent octal (base 8) representation. This involves dividing the decimal number by 8 repeatedly and recording the …

Decimal to hexadecimal conversion is the process of converting a decimal number to its equivalent hexadecimal (base 16) representation. This involves dividing the decimal number by 16 repeatedly and …

Binary to hexadecimal conversion is the process of converting a binary number to its equivalent hexadecimal (base 16) representation. This involves grouping the bits of the binary number in groups of…

The 2s complement of a binary number is a way to represent signed integers in binary form. It involves inverting all the bits (changing 0s to 1s and vice versa) of the original binary number and addi…

The 1s complement of a binary number is obtained by inverting all the bits (changing 0s to 1s and vice versa) of the original binary number. For example, the 1s complement of the binary number 1101 w…

The conversion from degrees to radians is a way to express angles in terms of the ratio of the length of an arc of a circle to the radius of the circle.

The conversion from radians to degrees is a way to express angles in terms of degrees instead of radians.

Dividing fractions means splitting something into equal parts. For example, if you divide 1/4 by 1/2, you get 1/2, because half of a quarter is an eighth.

A mathematical operation that involves multiplying two complex numbers, which are numbers that consist of both a real part and an imaginary part. Involves applying the distributive property and the r…

A polynomial equation of the second degree in a single variable, typically in the form ax^2 + bx + c = 0, where a, b, and c are coefficients and x is the unknown variable. Can be solved using various…

Complex quadratic refers to quadratic equations with complex (non-real) solutions. A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants. When the discrim…

The point at which two lines in a Cartesian coordinate system meet or cross each other, representing the solution to a system of two linear equations in two variables.

A scalar value calculated from a 2x2 matrix, obtained by multiplying the elements of the main diagonal and subtracting the product of the off-diagonal elements. Provides information about the matrix'…

A mathematical operation that multiplies an integer scalar value with a 2x2 matrix, resulting in a new matrix where each element is multiplied by the scalar value. Used in linear algebra, graphics, a…

A mathematical operation that finds the inverse of a matrix, which is a matrix that, when multiplied with the original matrix, results in the identity matrix.

When two dice are rolled at the same time, there are a total of 6×6=36 possible outcomes. Out of these 36 outcomes, there are 4 ways to get a sum of 5: (1,4), (2,3), (3,2), and (4,1). Therefore, the …

Conditional probability is the probability of an event occurring given that another event has already occurred. It is calculated by dividing the probability of both events occurring by the probabilit…

Compound interest is the amount of interest calculated on the initial principal amount, as well as on the accumulated interest from previous periods. It is calculated based on the compound interest f…

In calculus, the power rule is a rule used for finding the derivative of a function that is a power of a variable. The power rule states that if a function f(x) is in the form of f(x) = x^n, where n …

In calculus, the power rule for integration is a rule used for finding the antiderivative of a function that is a power of a variable. The power rule for integration states that if a function f(x) is…

In calculus, the definite integral of a quadratic equation refers to the process of finding the accumulated area under the curve of a quadratic function within a specific interval, or the net signed …

The arithmetic mean and median are measures of central tendency that are commonly used to summarize a data set. The arithmetic mean is the average value of the data set, calculated by adding all the …

The confidence interval for sample [234, 223, 210, 203, 258, 299, 281, 208, 278, 252, 295, 245, 280, 235, 219, 297, 214, 267, 212, 256, 232, 221] with 99% confidence is (263.31, 229.33)

In calculus, stationary points, also known as critical points or turning points, are points on the graph of a function where the derivative is equal to zero or undefined. Stationary points are import…

Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of triangles.

A mathematical operation that calculates a vector that is perpendicular to the plane formed by two given vectors in three-dimensional space. The magnitude of the cross product is equal to the product…

A mathematical operation that calculates the scalar product of two vectors by multiplying their corresponding components and summing the results. Also known as the inner product or scalar product, th…

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