A liquid always do not mix readily with another liquid, and do not compress in normal conditions except under extremely high pressures. These properties make a liquid suitable for applications like hydraulics.
A liquid always do not mix readily with another liquid, and do not compress in normal conditions except under extremely high pressures. These properties make a liquid suitable for applications like hydraulics.
A chemical equation describes what happens in a chemical reaction. The equation identifies the reactants (starting materials) and products (resulting substance), the formulas of the participants, the phases of the participants (solid, liquid, gas), and the amount of each substance. Balancing a chemical equation refers to establishing the mathematical relationship between the quantity of reactants and products. The quantities are expressed as grams or moles.Atomic Number Atomic Mass And Mass NumberEducational Videos2015-03-25 | Follow us at: plus.google.com/+tutorvista
The number of protons in the nucleus of an atom determines an element's atomic number. In other words, each element has a unique number that identifies how many protons are in one atom of that element. For example, all hydrogen atoms, and only hydrogen atoms, contain one proton and have an atomic number of 1. All carbon atoms, and only carbon atoms, contain six protons and have an atomic number of 6. Oxygen atoms contain 8 protons and have an atomic number of 8. The atomic number of an element never changes, meaning that the number of protons in the nucleus of every atom in an element is always the same.The CellEducational Videos2014-03-12 | Check us out at http://biology.tutorvista.com/cell.html The cell is the functional basic unit of life. It was discovered by Robert Hooke and is the functional unit of all known living organisms. It is the smallest unit of life that is classified as a living thing, and is often called the building block of life.Some organisms, such as most bacteria, are unicellular (consist of a single cell). Other organisms, such as humans, are multicellular. (Humans have about 100 trillion or 1014 cells; a typical cell size is 10 µm; a typical cell mass is 1 nanogram. The largest cells are about 135 µm in the anterior horn in the spinal cord while granule cells in the cerebellum, the smallest, can be some 4 µm and the longest cell can reach from the toe to the lower brain stem (Pseudounipolar cells).) The largest known cells are unfertilised ostrich egg cells which weigh 3.3 pounds. In 1835, before the final cell theory was developed, Jan Evangelista Purkyně observed small "granules" while looking at the plant tissue through a microscope. The cell theory, first developed in 1839 by Matthias Jakob Schleiden and Theodor Schwann, states that all organisms are composed of one or more cells, that all cells come from preexisting cells, that vital functions of an organism occur within cells, and that all cells contain the hereditary information necessary for regulating cell functions and for transmitting information to the next generation of cells. The word cell comes from the Latin cellular, meaning, a small room. The descriptive term for the smallest living biological structure was coined by Robert Hooke in a book he published in 1665 when he compared the cork cells he saw through his microscope to the small rooms monks lived in.
Binary operation is the one of the operations which is used in the mathematics. A binary operation on A is a rule that we have to assigns to every pair of elements of A a unique element of A. We are using the addition and multiplication of real numbers these are the examples of binary operations.
The trigonometric function is the calculation of triangle. Using the formula of trigonometric function formula we can solve the exercises of trigonometric function. The learning of trigonometric function is based on six basic functions they are, sine, cosine, tangent, secant, co-secant and co-tangent.
Mean definition : The mean is the most common of the given numbers and same as average, and it often referred to simply as the average for the given numbers. The term "mean" or "arithmetic mean" is defined in mathematics to it from other averages such as the median and the mode.
There are various operations on sets like union of sets , intersection of sets ,difference of two sets , symmetric difference of sets and complement of a set .
Vectors: A vector is a leaning quantity; it has magnitude and the direction. Velocity, force and displacement these are the examples for vectors. Vectors are represented using the arrow above the letters like Vec (a). Normally a vector needs two main things which are magnitude and direction.
Scalars: Scalars have no direction associated to them, it has only magnitude. Time, temperature, mass and energy these are the example for scalars. It has only magnitude there is no direction in this. Vectors and Scalars are represented using number lines.
Let us consider P(x) is polynomial with any degree. The degree of P (x) (polynomial) is less than or equal to one. Then let us consider 'a' is real number. If P(x) is divisible by the binomial (x-a) then the remainder is P (a).
An equation which has only one variable and its degree (power) is 1 called a simple equation. A linear equation with only one variable is of the form ax + b = 0. A linear equation includes two variables is in the formation of ax + by + c = 0. Here the variables x and y, and the constants are a, b, c. When two variables in the linear equations are satisfied by the same pair of values of the variables, the equations are called simultaneous linear equations.
A conjecture remains a conjecture until it is proved or disproved. If we limit our conjecture only with natural numbers, then there is a method to prove that the statement is true in come particular cases and the method is called as principle of mathematical induction.
Circle is defined as set of all the points that have same distance. Circle is one of the most important geometrical shapes. The common equation of the circle is (x-h)^2 + (y-k)^2 = r^2, where(h,k) are the center coordinates and r is the radius. Using the equation of a circle we can find the radius and center point of any circle..
Parabola is a set of all points are the same distance from a fixed line called as directrix and fixed point but not on the directrix. Equation of a parabola open towards with values increasing about x axis is given by y^2 = 4ax.
A conjecture remains a conjecture until it is proved or disproved. If we limit our conjecture only with natural numbers, then there is a method to prove that the statement is true in come particular cases and the method is called as principle of mathematical induction
Indefinite integral is one of the important part in calculus. Indefinite integral is also known as anti derivative of the function. Anti derivative of the function f(x) is denoted as F(x). Indefinite integral is used to for finding the areas and volume of the certain region. In this we integrate the function with out limits.
A hyperbola is a conic section obtained on slicing a double napped cone by a plane parallel to the axis of the cone. The locus of a point from a fixed point is at a constant ratio and it is greater than one of its distance from a fixed line is called a Hyperbola.
Exponential and logarithmic functions is some variables in the exponents of arithmetic value, we determine to exponents by use the logarithmic functions. In common exponential function will be similar to e^x = b. We need to get the x value signify we take logarithmic on both side of the equation.
Venn diagrams are used to compare or identify the characteristic between two or more items(place, people, objects, things, idea, character, etc).The most important characteristic is the pictorial representation of the information. Especially for children's to identify the variations easily the Venn diagrams is to be used. The most commonly used shape used shape for Venn diagrams is circle.
Function is a relation between output and input. Output depents upon input. As the input of a function changes the output also changes.Let a function is f(a)=b then a is the input and b is the output. Set of all input is domain and set of all output is range or co-domain. Function is defined as follows, Function is a relation between domain and range. Considering two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a function.
The product of vector is also called as cross product in math. This is binary operation and the new vector is produced by the cross product of two vectors. The new vector is perpendicular to the other vectors. We can represent the cross product by the symbol 'x'. Consider the cross product as A x B.
Arithmetic progression is a sequence of numbers in which the successive terms increase or decrease by a constant number. 1,4,7,10 ............ is an arithmetic progression where successive terms increase by a constant number 3. Similarly 100, 96,92,...... is an arithmetic progression where successive terms decrease by a constant number 4. The constant number is called the common difference (d).
Arithmetic progression means that the sequence of numbers with the difference between the successive numbers of the sequence is always constant.arithmetic progression is also known as arithmetic sequence.
The argand plane, or the complex number plane, consists of a standard real number line, as the horizontal x-axis, and an imaginary number line as the y-axis. The x-axis is represented by the symbol Re The y-axis being the imaginary number line is represented by the symbol Im and is perpendicular to the x-axis. In other words, in an argand plane, the real number axis is orthogonal to the imaginary number axis.
The definition of differentiation is "rate of change of input". The Process of differentiation is called integration. For example, f(x) is a function, The integration of given function can be expressed as integral f(x) dx. Here, f(x) is a continuous function.
Pie chart contains a shape of circle and the circle is split into segment based on the problem. Each segment may be similar or dissimilar. The pie chart is used to demonstrate the connection among percentage with 100% being the whole circle (pie).
Pie chart is in the shape of circular. The circular can be separated into sectors according to their problem. Each sector may be equal or unequal. The pie-chart is able to do effectual method of displaying information in several cases. The pie-chart is also classified as four types like area pie chart, multilevel pie-chart, exploded pie-chart and three dimensional pie-charts. The pie chart is mostly used to explain the relationship between percents with 100% being the entire circle (pie). A pictorial graph is in the shape of a circle, which has segments representing related proportions.
The average or mean is calculated by arranging the values from the set in a particular way and computing a single number as being the average of the set.
Average or measure of central tendency is a single quantity which enables us to know the average character of the data under investigation. It is a single value which is the representative of all the items and which the mind can grasp simply and quickly. Average is the quantity around which the data tends to cluster or accurate.
A frequency polygon is a graphical show of a frequency table. The intervals are exposed on the X-axis and the number of scores in each interval is represented by the height of a point located above the middle of the interval. The points are related so that together with the X-axis they form a polygon.
Let O represent the observer and P be the object. We could observe that object B is below the observer. The Horizontal line passing through O and P is called as line of sight or sight line. Assuming that the observer is standing in a plane surface and te object is in teh plane surface, the amount of declination observed by the observer to the object is called as angle of depression. Suppose if we look at a distant object which is at a lower surface by standing on teh top of a mountain or building, we will obviously look down, that is, angle of depression is the angle measured when the observer's eyes looks down.
Bar graph can be either vertical or horizontal. There may be just one bar or more than one bar for each interval. Sometimes each bar is divided into two or more parts. The data is made up of more than one category. In this section, you will work with a variety of bar graphs. Be sure to read all titles, keys, and labels to completely understand all the data that is presented. The Bar graph examples cover all the types of bar graphs.
A histogram is a method of estimation the probability distribution of an inconsistent, by including the frequencies of numbers into isolated bins, and then plotting the no of members in every bin against the bin number. The histogram is generally but not essentially displayed by a bar diagram where every bar is straight over an interval, with an area equivalent to the frequency of the explanation in the interval. The height of a rectangle is also equivalent to the frequency mass of the interval, which is the frequency separated by the width of the interval. The whole area of the histogram is equivalent to the number of statistics. A histogram may also be standardizing display of relative frequencies. It then explains the amount of cases that fall into every of more than a few categories, with the whole area equivalent to 1.
The geometric solids are the shapes that can be classified as cubes, cone, sphere, rectangular prism, hemisphere, etc. The geometric solid patterns can be explained with their properties.
Cylinder is a three dimensional object. It has the surface in curved shape and also it has two flat surface called base and top of the cylinder. The distance between center of the base and edge of the cylinder is known as radius of the cylinder. The radius of the cylinder is constant.
Cube is one type of three dimensional solid shapes. Its faces are flat surface. The bottom and top faces are known as bases. Faces forming the sides are the lateral faces or lateral surfaces. The corner points of the cube are called vertices. The cube has eight vertices.
Cuboid is a three dimensional solid shape which is bounded by six rectangle faces or sides and 12 edges. In cuboid, we have three dimensions that are length, width and height.
Sphere is three dimensional objects. The sphere looks like round ball. The distance between center and boundary of the sphere is called radius of sphere. It is constant through over the points. By multiplying the radius by 2 we can get the diameter of the sphere.
linear equation is a line graph. A line graph has a simple equation like y= ax+b, y= ax-b or just y= ax
By observing a line graph we can find its linear equation.
To write the linear equation from graphs we can use the slope intercept formula y = mx +c
Sometimes mere observation of a set of coordinates helps us to get the linear equation.
Here let us do 3 graphs, the first is written by mere observation., the second graph is of the form y = k and the third equation is found by using y = mx +c.