Business Math Quiz on Profit and Teams

A style of art that expresses strong inner emotions and often uses distorted figures and bold colors. It emerged around the early 20th century, influenced by the tumultuous period of World War I.

A type of dance theatre developed by Pina Bausch, characterized by expressive, unconventional movements and emotional themes, blurring the lines between dance and theatre.

Pina Bausch's approach to dance, focusing on the underlying emotions and motivations behind movement rather than just technique.

A strategy that discourages birds from settling in a particular location.

A device used to deter birds, resembling a predatory owl.

A lightweight object inflated with air, used for deterring birds.

Moving to a new area in search of food, shelter, or other resources.

The delay of a scheduled event.

A part of a rocket or spacecraft that holds fuel.

The act of repairing something that is broken or damaged.

To focus on one specific aspect or subject.

The process of finding the solutions (values of the variable) that make an equation true.

A mathematical statement that expresses the equality of two expressions. It typically includes variables, coefficients, and constants.

The number that represents the length of the red rod.

The number that represents the length of the white rod.

Two expressions are equivalent if they represent the same value for all possible input values.

A statement that expresses the equality of two different expressions involving variables.

A process of understanding and applying mathematical relationships to solve real-world problems.

The range of a function is the set of all possible output values.

The number of small prisms that fit inside the large prism is equal to the ratio of their volumes. To find the volume of each prism, multiply the length, width, and height.

To solve for x, you need to isolate it. Remember that 64 is the same as 2^6. Then, use the rule of exponents that (a^m)^n = a^(m*n) to simplify the left side of the equation.

Each face of the octahedron has an equal chance of landing down. Prime numbers are numbers only divisible by 1 and itself(e.g., 2, 3, 5, 7, 11, 13, 17). Even numbers are divisible by 2. Count the favorable outcomes (prime or even numbers) and divide by the total number of outcomes.

An angle bisector divides an angle into two equal angles. The sum of the angles inside a triangle is 180 degrees.

Matrix multiplication involves multiplying corresponding entries of each row of the first matrix with corresponding columns of the second matrix. Multiply the price per bag by the number of bags sold for each type of seed and add the results to find the total profit.

To solve the equation 36x-1 = 6, isolate the variable x. First, add 1 to both sides. Then, divide both sides by 36 to get x by itself.

The sum of interior angles in any quadrilateral is 360 degrees. To find the missing angle, subtract the sum of the known angles from 360.

To solve the equation 36x − 1 = 6, perform operations on both sides to isolate x. First, add 1 to both sides, then divide both sides by 36.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. To find the equation representing the relationship between the number of shirts sold (x) and the profit (y), we need to determine the slope (m) and the y-intercept (b).

The slope of a line passing through two points is defined by the difference in the y-coordinates divided by the difference in the x-coordinates.

The y-intercept is the point where the line crosses the y-axis. In the slope-intercept form, the y-intercept is represented by 'b'.

To solve a system of equations, we need to find values for the variables that satisfy both equations simultaneously. One common method is elimination, where we manipulate the equations to eliminate one variable and solve for the other.

The number of ways to choose a group of r objects from a set of n objects is given by the combination formula, denoted by nCr or (n choose r). The formula is n! / (r! * (n-r)!).

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants with a ≠ 0. The roots of the quadratic equation are the values of x that satisfy the equation.

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The sign of the discriminant determines the nature of the roots: positive means two real roots, negative means two complex roots, and zero means one real root (a double root).

A quadratic equation will have real roots if and only if the discriminant (b^2 - 4ac) is greater than or equal to zero.

In this context, "incongruous" means that something feels out of place or doesn't fit in with its surroundings. The mural's figures are frozen in time, while the real world continues to move around them.

The sentence describes the mural's figures as "motionless" even though they're depicted working, implying that they're trapped in a frozen moment in time. This creates a contrast with the dynamic, busy atmosphere of Philadelphia's traffic.

The passage describes how the mural's figures, such as the immigrant workers and the child with a kite, are "incongruous" in relation to the bustling cityscape. This suggests that the mural is trying to show how these figures are both a part of and also stand apart from the city's life.

The phrase "caught up" in the context of "others caught up in railroad construction" implies that the workers are actively engaged and involved in the process of building railroads. It suggests a sense of energy and focused effort.

The sentence describes a giant figure in the mural whose gaze is fixed on a passerby, indicating a watchful presence. This suggests that the mural might be trying to convey a sense of observation or surveillance.

The phrase "their jobs, one bent over a clothes iron" implies that the mural depicts people working and highlights their everyday tasks and livelihoods. It also emphasizes the hard work and dedication these individuals put into their labor.

The reference to the child playing with a kite in a schoolyard is meant to highlight the innocence and joy of childhood. This contrasts with the harsh realities of immigrant life and the toil of the railroad workers, creating a sense of balance in the mural's portrayal.

The detail about the "schoolyard" suggests a familiar and safe space associated with youth and education, creating a sense of contrast with the harsh environment the immigrants are depicted in. This might be symbolic of the struggles faced by these individuals as they navigate a new country.