Algebra

+/- means that the answer can be either a positive(+) number or a negative(-) number.

e.g.

the sqrt(4) = +/- 2

Because +2 x +2 = 4

&

-2 X -2 = 4

Similarly for any other square root values.

Same mathematical signs equal plus

Different mathematical signs equal minus

Plus Plus = Plus (+)(+) = +

Minus Minus = Plus (-)(-) = +

Plus Minus = Minus (+)(-) = -

Minus Plus = Minus (-)(+) = -

So the direct answer to your question would be: plus minus equals minus

2/8 - 2/4 + 5/8

Bring all fractions to a common denominator of '8' , and the numerators to equivalent values.

Hence

2/8 - 4/8 + 5/8

Add the numerators

2 - 4 + 5 = 3

Place over the denominator

Hence

3/8 The answer!!!!!

The square root of 45 is approximately 6.71, and the square root of 67 is approximately 8.19. Therefore, the square root of 45 minus the square root of 67 is approximately 6.71 - 8.19, which equals about -1.48.

Let the number be represented by ( x ). The algebraic equation for the quotient of five times this number and 7 being no more than 10 can be expressed as:

[ \frac{5x}{7} \leq 10 ]

Equations and inequalities are fundamental tools in various fields, including science, engineering, economics, and everyday decision-making. They help model relationships between variables, enabling predictions and analyses, such as calculating financial budgets, optimizing resource allocation, or determining physical laws. In everyday life, inequalities can guide choices based on constraints, like budgeting or time management, while equations can solve problems ranging from cooking measurements to construction planning. Overall, they provide structured ways to understand and navigate complex situations.

The square root of 174 can be simplified by factoring it into its prime factors. Since 174 = 2 × 3 × 29, and none of these factors are perfect squares, the simplest form of (\sqrt{174}) is (\sqrt{174}) itself. Therefore, it cannot be simplified further into a simpler radical form.

In the given semi-circle ABCD with diameter AB, let P be the intersection of lines AC and BD. By applying the Power of a Point theorem, we can establish that ( AP \cdot PC + DP \cdot PB = AC^2 ). This is derived from the properties of cyclic quadrilaterals and the relationships between the segments formed by the intersecting chords within the circle. Thus, we conclude that ( AP \cdot AC + DP \cdot DB = AC^2 ).

Poisson's equation is a generalization of Laplace's equation. While Laplace's equation states that the Laplacian of a scalar potential ( \phi ) is zero ((\nabla^2 \phi = 0)), Poisson's equation includes a source term, expressed as (\nabla^2 \phi = -\rho/\epsilon), where (\rho) represents the source density and (\epsilon) is a constant related to the medium. To derive Poisson's equation from Laplace's equation, one can consider a situation where there are charges or mass densities present, leading to a non-zero right-hand side in the equation. Thus, Poisson's equation describes the potential field generated by such sources, while Laplace's equation applies in regions devoid of sources.

In the context of the punchline problem solving book, the answer to how snowmen see in a blizzard is often a humorous twist. The punchline typically is that "they have snow goggles." This plays on the idea of snowmen needing protection from the snow, similar to how humans use goggles in snowy conditions.

Universal sets serve as a foundational concept in set theory, representing the total collection of objects or elements under consideration for a specific discussion or problem. In the real world, they help organize data and categorize information, such as in market research, where the universal set might include all potential customers. This concept is also crucial in various fields like mathematics, computer science, and logic, aiding in problem-solving and data analysis by providing a complete context for subsets and their relationships. Overall, universal sets enhance clarity and structure in understanding complex systems and relationships.

Systems of linear equations in more than two variables have various practical applications across multiple fields. In economics, they can be used to model market equilibrium by analyzing supply and demand across different products. In engineering, these systems help in structural analysis and optimization of resources in multi-variable design problems. Additionally, in data science, they assist in regression analysis to understand relationships among multiple factors influencing outcomes.

In one whole there are three thirds ( 1/3 + 1/3 + 1/3 = 3/3 = 1/1 = 1)

Hence in four wholes there are twelve thirds.

Arithmetically 4

X x 1/3 = 4

Hence

X = 4 X 3/1 = 12/1 = 12 The answer!!!!

One effective method for solving problems is the problem-solving process, which typically involves several key steps: identifying the problem, analyzing the situation, brainstorming potential solutions, evaluating options, and implementing the chosen solution. This structured approach helps to clarify the issue and encourages critical thinking, making it easier to find practical and effective resolutions. Additionally, reflecting on the outcomes can provide insights for future problem-solving efforts.

The ODPem, or Ocean Data Portal for Environmental Monitoring, serves as a comprehensive platform for the collection, integration, and dissemination of oceanographic data. Its primary function is to facilitate access to critical environmental information, supporting research, policy-making, and public awareness related to ocean health and sustainability. By providing tools for data visualization and analysis, the ODPem helps stakeholders make informed decisions regarding marine conservation and resource management.

Yes, parallel vectors have the same slope. In a two-dimensional space, the slope of a vector is determined by the ratio of its vertical change to its horizontal change. Since parallel vectors point in the same direction or directly opposite directions, their slopes remain constant and identical.

To determine if ( x^2 + y^{2121} ) is a function, we need to see if each input ( x ) corresponds to exactly one output ( y ). In this case, for a given ( x ), ( y ) can take on multiple values (since ( y^{2121} ) can yield both positive and negative roots). Therefore, ( x^2 + y^{2121} ) does not represent a function of ( y ) in terms of ( x ).

Sharecropping emerged as a solution to the economic challenges faced by both landowners and former enslaved people in the post-Civil War South. For landowners, it provided a way to maintain agricultural production without paying wages, as they could offer land and tools in exchange for a share of the crop. For sharecroppers, it offered a means to earn a living and work the land without the capital required to own it. However, this system often perpetuated cycles of poverty and debt.

A linear function is a mathematical function that can be expressed in the form ( f(x) = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. This type of function produces a straight line when graphed on a coordinate plane. The slope ( m ) indicates the rate of change of the function, while the y-intercept ( b ) represents the value of the function when ( x ) is zero. Linear functions are characterized by their constant rate of change.

The expression (9.12 \times 10^{-7}) represents a number in scientific notation. To express it in decimal form, you move the decimal point seven places to the left, resulting in (0.000000912). Thus, (9.12 \times 10^{-7} = 0.000000912).

A Cartesian well is a theoretical concept used in physics and mathematics to describe a potential well that is shaped like a square well in Cartesian coordinates. In this model, particles experience a constant potential energy within a defined region and an infinite potential outside, allowing for the analysis of particle behavior in a confined space. This model is often used in quantum mechanics to simplify the study of particles in potential wells and to illustrate concepts such as quantization and energy levels.

Bexleyheath serves as a key suburban center in the London Borough of Bexley, primarily functioning as a commercial and retail hub for local residents. It offers a range of amenities, including shopping, dining, and recreational facilities. Additionally, Bexleyheath is well-connected to central London, making it a desirable location for both commuters and families. The area also hosts various community events and activities, fostering a sense of local identity.

In the expanded form of 420832544 using exponents, the powers of 10 represented would be 10^8, 10^7, 10^6, 10^5, 10^4, 10^3, 10^2, 10^1, and 10^0, corresponding to each digit's place value. However, the power of 10^9 would not be represented, as there is no digit in the billions place for this number.

The Boston Matrix, also known as the BCG Matrix, is a strategic planning tool that helps organizations analyze their product portfolio based on market growth and market share. It categorizes products into four quadrants: Stars (high growth, high market share), Question Marks (high growth, low market share), Cash Cows (low growth, high market share), and Dogs (low growth, low market share). This framework assists businesses in making informed decisions about resource allocation and marketing strategies. By understanding where each product stands, companies can optimize their investments and focus on growth opportunities.

Ratios and rates can be used to solve problems by comparing quantities and determining their relationships. For instance, if you need to find out how much of a resource is required for a specific output, you can set up a ratio based on known values. By cross-multiplying or scaling the ratio, you can calculate unknown values efficiently. Additionally, rates can help in situations involving time, speed, or cost, allowing you to make informed decisions based on proportional relationships.