Linear Algebra

Standard form of a linear equation is represented as

Ax + By = C

If A and B are the coefficients of the x and y and they are both equal to zero then C would always be equal to 0 for any given x and y value.

0x + 0y = 0

Since the linear equation is an equation between two variables that gives a straight line when plotted on a graph, (0,0) is a point itself and wouldn't be able to form a line.

Well, let's imagine a dark, stormy night where the moon is hidden behind thick clouds. In this darkness, you can't see any light shining through. That absence of light is a non-example of light, reminding us of the beauty and importance of light in our world.

First of all , place the numbers in rank order. Already done in this case.

1,4,9,15,25,36

Since there are an even number of terms, we take the absolute middle two terms, '9' and '15'.

Add together and divide by '2'

Hence ( 9 + 15) / 2 = 24/2 = 12

12 is the median.

The eigenvalues of an electron in a three-dimensional potential well can be derived by solving the Schrödinger equation for the system. This involves expressing the Laplacian operator in spherical coordinates, applying boundary conditions at the boundaries of the well, and solving the resulting differential equation. The eigenvalues correspond to the energy levels of the electron in the potential well.

In industrial electrolysis of water, hydrogen and oxygen gases can be safely separated by using separate collection chambers to prevent them from mixing. This is typically done by employing a membrane or a barrier between the two electrodes to keep the gases separated. Additionally, proper ventilation and control systems are in place to ensure that any buildup of gases is safely released to prevent explosion.

1. Chemical equation that represents a chemical reaction using chemical formulas and other symbols.
2. It shows the reactants turning into products.
3. Balancing is required to have an equal number of each type of atom on both sides.

This is the electric field vector of a plane-wave light beam of angular frequency ω=2πc/λ travelling in the direction of a unit vector n with velocity c: E=E(0) exp [-iω(t-n·r/c)]

Volume can be measured in a variety of units.

In metric: liters, milliliters, etc.

In imperial: gallons, cups, ounces, tons etc.

You can also use cubic measures of length: a cubic meter, a cubic foot, etc.

These are all units of volume: http://en.wikipedia.org/wiki/Category:Units_of_volume

Example:

- 454 g of orange jam contain 83 g sugar

454 g jam---------------83 g sugar
100 g jam----------------x g sugar

x= 100x83/454= 18,18 g sugar (or 18 % sugar)

- Magnetic field strength is the intensity of a magnetic field at a given location. Historically, a distinction is made between magnetic field strength H, measured in ampere/meter, and magnetic flux density B, measured in tesla. Magnetic field strength is defined as the mechanical force (newton) on a wire of unit length (m) with unit electric current(A). The unit of the magnetic field, therefore, is newton/ (ampere x meter), which is called tesla. The magnetic field may be visualized by magnetic field lines. The field strength then corresponds to the density of the field lines. The total number of magnetic field lines penetrating an area is called magnetic flux. The unit of the magnetic flux is tesla x m2 = weber. The older units for the magnetic flux, maxwell = 10-8 weber, and for the magnetic flux density, gauss = maxwell / cm2 = 10-4 tesla, are not to be used any more. Magnetic flux density diminishes with increasing distance from a straight current-carrying wire or a straight line connecting a pair of magnetic poles around which the magnetic field is stable. At a given location in the vicinity of a current-carrying wire, the magnetic flux density is directly proportional to the current in amperes. If a ferromagnetic object such as a piece of iron is brought into a magnetic field, the "magnetic force" exerted on that object is directly proportional to the gradient of the magnetic field strength where the object is located. -------------------------------------------------------------------

B=μH Magnetic field in Solenoid B=μnI where n is turns/m So H=nI --------------------------------------------

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "less than or equals" etc .

a solid figure

You can find the Karolinska Sleepiness Scale online on various medical websites, research publications, or by directly searching for it using a search engine. It's a simple tool used to self-assess levels of drowsiness or alertness.

They are actually to the one half power. You can take a factor in the radical and sqrt it and put in on the outside...

Ex.

sqrt(28) = sqrt(4 * 7) = sqrt(22 * 7) = 2sqrt(7)

sqrt(28) = 2 * sqrt(7)

12x-30=114

12x=114+30

x=144 / 12

therefore x=12

barium chloride plus sodium sulphate yields barium sulphate plus sodium chloride

Let the number be 'm' & 'n'

Hence

Sum = m + n = -5

Product = mn = 4

Algebraically rearrange the product to m = 4/n

Substitute into the Sum

(4/n) + n = -5

Multiply through by 'n'

Hence

4 + n^2 = -5n

n^2 + 5n + 4 = 0

It is not in Quadrtatic form . to solve.

Hence

(n - 1)(n - 4) = 0

n = -1 & n = -4

Are the two numbers.

The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4

To find the solution to the equation √(x-10) = x-2, we can square both sides. This gives us x-10 = (x-2)^2. Expanding the right side gives x-10 = x^2 - 4x + 4. Rearranging the terms and simplifying, we have x^2 - 5x - 6 = 0. By factoring or using the quadratic formula, we can determine the solution(s) to the equation.

To write exponents in Microsoft Word, you can use the superscript feature. Simply select the number or letter you want to raise to an exponent, go to the "Home" tab, and click on the "Superscript" button (usually represented by a small "x^2" icon). This will format the selected text as a superscript, indicating it is an exponent.

A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.