exponential growth formula

Let us learn about exponential growth formula

Exponential growth (including exponential decay) occurs when the growth rate of a mathematical function is proportional to the function's current value. In the case of a discrete domain of definition with equal intervals it is also called geometric growth or geometric decay (the function values form a geometric progression).

A function is said to be Exponential growth that including exponential decay when the growth rate of that mathematical function is proportional to the function's current value. In a discrete domain of definition with equal intervals of the function is called as geometric growth or geometric decay. The exponential growth model is also called as the Malthusian growth model.

Exponential Growth Formula:

Exponential formula defines the X as exponentially on time t.

X(t) = a . b^(t/r)

"a" denotes the initial value

a = x,

X(0) = a,

b= a

It denotes the positive growth of the factor, t = time required

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factors of 25

Let us learn about "factors of 25"

A factor of a number is an exact divisor of that number. In other words, a factor of a number is that number which completely divides the number without leaving a remainder. Each of the numbers 1, 2, 3, 4, 6 and 12 is a factor of 12. However, none of the numbers 5, 7, 8, 9,10 and 11 is a factor of 12.

A natural number is called a prime or a prime number if it has exactly two distinct natural number divisors. Natural numbers greater than 1 that are not prime are called composite. Therefore, 1 is not prime, since it has only one divisor, namely 1. However, 2 and 3 are prime, since they have exactly two divisors.In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. Numbers that are not prime is called composite. 20 is a composite number. Examples of prime numbers are 2, 3, 5, 7, 11 and 13.

Prime Factors of 25

The Factors are numbers you multiply to get other number. For instance, the factors of 30 are 6 and 5, because 6×5 = 30. Some numbers are more than one factor (more than one way of being factorization). For instance, 15 can be factored as the 1×15, 3×5, or 5×3.

The number that can only be factor as 1 times itself is called prime. The few prime’s numbers are 2, 3, 5, 7, 11, and 13. The number 1 is not regard as to a prime, and is usually not included in factorizations.

Prime factors of 25 – Example problems:

Problem 1:

Find the prime factors of 25

Solution:

Prime factors of 25

25 = 5 * 5

= 5² = Prime factors of 25 = 5²

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Triangle rectangle

Let us learn about "triangle rectangle"

As per the basic geometry, the area of a triangle is defined as half the product of its base and height. Similarly the formula for the area of a rectangle is the product of its base (length) and height (width).

This gives an indication that a relation is possible between the area of any triangle inscribed in a rectangle. After a closer study it has been established that the area of a triangle as half a rectangle. The triangle may be the any triangle inscribed inside the rectangle

A rectangle is placed inside an isoceles right triangle in such a way that the two vertices of the rectangle lie on the hypotenuse, and the other two vertices lie on the legs.

The area of the triangle is 2 square units, and the area of the rectangle is one quarter of that.

The rectangle, like the square, is one of the most commonly known quadrilaterals. It is defined as having all four interior angles 90° (right angles).

Properties of a rectangle

• Opposite sides are parallel and congruent Adjust the rectangle above and satisfy yourself that this is so.
• The diagonals bisect each other
• The diagonals are congruent

In our next blog we shall learn about "volume of a rectangle"

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Factors of 28

Hi Friends, Good Morning!!!

Let us learn about "Factors of 28"

Like concepts presented throughout the Montessori classroom, even those more abstract concepts of Mathematics have been made concrete for the children in our classrooms. Beginning with simple number concepts like understanding quantity and identifying numerals, the Math materials include advanced presentations in cubing numbers, factors, fractions, and mathematical operations.

Factors of 28:

Factors are the numbers used for dividing the given number exactly (with remainder 0).

For all the numbers 1 and the number itself will be definitely be a factor

There is a difference between factor and prime factor

In Prime factor the factor will be off only prime

But when finding the normal factor the factors are the possible multiples of the number

PRIME NUMBER

Prime numbers are divisible by 1 and the number itself. those numbers are called prime numbers.

All prime numbers have only two factors

The two factors are 1 and the number itself

COMPOSITE NUMBERS

Except prime numbers all the numbers are called composite numbers. But all the composite numbers will be having more than two factors

Given problem is find the factors of 28

Solution:

Factors of 28 are 1, 2, 4, 7, 14, and 28

So for 28 we have 6 factors

28 is a composite number too

In our next blog we shall learn about "trinomial factor calculator"

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perimeter of a triangle

Hi Friends, Good Afternoon!!!

Let us learn "how to find the perimeter of a triangle"

Introduction for perimeter of a triangle

A triangle is a three sided geometry shape which side length is a,b,c, may be this length may varies or may be in equal length.The perimeter(p) of a triangle is defined as the sum of all three sides that is which rounding figures.In case the length sides of a triangle are same then the triangle is equilateral.In this section we have the three sides 4 6 8 we have to find the perimeter of triangle by substitute in formula.

The distance around a closed plane figure is called the perimeter.

Problem

In Triangle STU the given sides are ST =13 cm, TU = 13 cm and US = 15 cm, find the perimeter of a triangle STU.

Solution

P = a + b +c

[Here we know that, (P) is the perimeter of a triangle; a, b and c are the side lengths of the triangle].

As we know that, the sum of the lengths of its sides is called the perimeter of a triangle.

[Here, ST =13 cm, TU = 13 cm and US = 15 cm, now put the values in place of a, b and c, then add the numbers together].

P = (13 + 13 +15) cm

Therefore, perimeter of a triangle (P) = 41 cm

In our next blog we shall learn about "triangles types"

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Molarity Calculator

Hi Friends, Good Afternoon!!!

Introduction to Molarity Calculator:

Molarity Calculator provides all options to calculate like Mass from volume & concentration, Volume from mass & concentration, Molarity from mass and also volume. Finally one can also find easy ways to dilute from a stock solution already available.

A solute dissolves in the solvent. The measure of solute dissolved in specific quantity of solution is called concentration.Molarity is unit of of concentration.Molarity is expressed as moles of solute dissolved in one liter of solution. So if 1 mole of NaCl is dissolved in one liter of solution], it is called 1molar solution of NaCl and denoted as 1M. Molarity is not same as molality.Both the terms differ. As mentioned above the units of molarity are moles/L

Let us consider some problems related to molarity.

Illustrative Problems Related to Molarity Calculations

Find the molarity of 116.8g NaCl dissolved in 1 liter of water. Molar mass of NaCl is 58.4

Step I- Find the number of moles of NaCl in 116.8g

Moles=Mass in g / Molar mass

Moles of NaCl =116.8 / 58.4

Moles=2

Step II Find molarity

Molarity =moles of solute NaCl / Volume of solution in L

=2 /1

Molarity =2 M

To learn more about "molar concentration" please click on the given link.

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7 types of triangle

Hi Friends


Good Afternoon!!! How good are you in Geometry? Its good to see that we have many geometry problem solver these days online. How many tried drawing triangle.

Let us learn about 7 types of triangle.

Triangles are classified in two ways :

(i)On the basis of sides and,

(ii)On the basis of angles.

(i)According to sides

A triangle in which all the three sides are unequal in length is called a scalene triangle.

A triangle in which two of its sides are equal is called an isosceles triangle.

A triangle which has all its three sides equal in length is called an equilateral triangle.

A triangle which has all the three angles acute that is, less than 90, is called an acute angled triangle or acute triangle

A triangle whose one angle is a right angle (that is 90) is called a right angled triangle or right triangle

In case of isosceles triangle, At least two sides congruent that is two sides are equal in measure and the unequal side of the isosceles triangle is referred to as base of the triangle. If third angle is a right angle then the triangle is said to be right isosceles triangle.

Practice makes man perfect, keep practicing to understand better.

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Seven Types of triangle

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Good Afternoon!!!

Triangle

Hi Friends

Good Afternoon!!!

In our previous blog we learned draw angles and now we shall learn about " Triangles"

A triangle is a polygon with three sides.

A triangle is a closed figure formed by joining three non-collinear points.

The symbol for a triangle is /\ Triangle ABC is written as /\ABC.

The three non-collinear points A, B, C in figure forming a triangle ABC are called vertices of /\ABC.

In our next blog we shall learn about Interior of the triangle and Exterior of the triangle. Till then learn about symbols in mathematics.

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