Abstract Algebra

Divide the number of quarts by 4.

There can be no equivalence.

An inch is a measure of length or distance in 1-dimensional space while an ounce is a measure of mass. The two measure different things and, according to basic principles of dimensional analysis, any attempt at conversion from one to the other is fundamentally flawed.

There is no direct relationship between the number of cylinders in an engine and the size of its fuel tank!

The intersection of sets A and B.

4 sqrt(3) is.

8 of anything, minus 4 of the same thing, always leaves 4 of them.

Ten columns and ten rows, forming 100 squares.

Escalation matrices are used as a hierarchy system in case of major issues. They contain multiple user contacts that can be contacted in a certain order should something go wrong with parameters, such as time zone, schedule, partner, and customer.

Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector.

It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples.

The position vector of the origin of the coordinate axes is a zero vector.

The displacement of a stationary particle from time t to time tl is zero.

The displacement of a ball thrown up and received back by the thrower is a zero vector.

The velocity vector of a stationary body is a zero vector.

The acceleration vector of a body in uniform motion is a zero vector.

When a zero vector is added to another vector , the result is the vector only.

Similarly, when a zero vector is subtracted from a vector , the result is the vector .

When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.

Kadema's Rule

3 x 3 = 9cm2 So the length of each side of the square must be 3cm.

Table algebra is the branch of mathematics like geometry and others.

it has got two pairs of adjacent sides of equal length and one pair of equal sides

If df(x)/dx = g(x), then integral [from a to b] g(x) dx = f(b)-f(a).

In plain English: the definite integral can be calculated by finding the antiderivative, evaluating it at the endpoints, and subtracting.

The property of multiplicative identity, i, of a set S is an element, is that for every element x in S,x * i = x = i * x

EFE Matrix is a tool used in the business world, designed to assess current business conditions. It stands for External Factor Evaluation Matrix. It identifies critical success factors for a company and assigns a weight to each factor.

== == Science Major: Altitude is height above mean sea level (MSL) or true altitude, which means in reference to what sea level is on the ground, or height above ground level (AGL), which is also called absolute altitude, which means height above the ground with no reference to the ground's height above sea level. In example, if the sea level in a certain place is 100 feet and you are 250 feet above the ground, your altitude above sea level would be 350 feet, and your altitude above ground level would be 250 feet.

its origins go back to the ancient Babylonians by using this system they were able to apply formulas and calculate solutions for an unknown value or values and i guess it was passed form there

set contains two kinds a negative and positive set

Algebra is a tremendously useful mathematical tool, without which modern science and technology would not have been possible.

Algebra was invented as a tool for solving mathematical problems, and it has proved to be tremendously useful. Modern technology as we know it would have been impossible without the use of algebra.

+++

More accurately, algebra is the set of symbols and rules used to construct mathematics. It is not a calculating tool to solve problems in its own right, but allows you to express the ways in which to solve those problems.

It is said to be invented in 862 by a Persian named Muhammad ibn Muas al-Khwarizmi in what we now know as Iran.

here is very good answer: http://www.wisc-online.com/objects/index_tj.asp?objID=GEM704

The value of 3 in 236,157 is 30,000.

If the topic is about place value then,

Ten-thousands is the place value of 3.

Definition of Place Value:

Place value is the value given to the place or position of a digit in a number.

Note:

7 – Units place
5 – Tens place.
1 – Hundreds place.
6 – Thousands place.
2 – Hundred thousands.

Source: www.icoachmath.com

Well I believe you may be referring to the fact that whenever you subtract you actually "add the opposite." Another phrase people may use is to "plus a negative." This is not as accurate as add the opposite. An example would 12-5. It can be written as 12 + -5. You are simply adding the opposite of positive 5 which is negative 5. Now this may seem silly, but where it is useful is when you have a lot of negatives. For example. -10- -5. For some this is confusing until we add the opposite. I can rewrite this as -10 + 5. I simply took the opposite of -5 which was positive 5 and added it to -10. This equals -5. Hope this helps.