Grafting is a horticultural technique in which tissues of plants are joined so as to continue their growth together. The upper part of one plant, also known as the scion, is joined to the lower part, called the rootstock, of another plantIt is done to fulfil a variety of purposes like to repair injured trees, to produce dwarf trees and shrubs, to strengthen plants' resistance to certain diseases, to retain varietal characteristics, to adapt varieties to adverse soil or climatic conditions, to ensure pollination, to produce more trees in a short period of time.Below is an image of different methods ... Read More

1) Given: Sonu buys $40$ kg of wheat at Rs $12.50$ per kg and $30$ kg of wheat at Rs $14$ per kg.To find: We have to find at what rate per kg should sonu sell the mixture to gain 5% on the whole.Solution:Weight of wheat 1 bought = $40$ kgCP of wheat 1 per kg = Rs $12.50$Weight of wheat 2 bought = $30$ kgCP of wheat 1 per kg = Rs $14$Total cost price of $40 + 30$ or 70 kg wheat = $40(12.50) + 30(14)$ = $Rs 500 + Rs420 = Rs 920$ Profit per cent = 5%SP = $\frac{CP(100 ... Read More

Endocrine- The endocrine system is a system of hormones and glands of the body that produces hormones and secretes them directly into the bloodstream. Exocrine-  The exocrine system is a system of hormones and glands that secrete chemical substances through ducts or tubes outside the body or onto another surface within the body.  The difference between the Endocrine system and Exocrine system are: Endocrine Exocrine 1. Do not have ducts. 1. Have ducts.2. Secrets Hormones. 2. Secrets a variety of things such as sweat, enzymes, mucus.3. Secrete into the blood or lymph nodes. 3. Secrete onto an epithelial surface.4. Located ... Read More

Solution: 1). $66(y^{4} -5y^{3}-24y^{2}) +6y(y-8)$= $66y^{2}(y^{2} -5y-24) +6y(y-8)$ = $66y^{2}(y-8)(y + 3) + 6y(y -8)$ = $6y(y-8)[11y(y+3) + 1]$ = $6y(y - 8)(11y^{2} + 33y + 1)$  2) $36mn(25m^{2} - 49n^{2})+ 4mn(5m + 7n)$ = $36mn(5m + 7n)(5m - 7n)+ 4mn(5m + 7n)$ = $4mn(5m + 7n)[9(5m - 7) + 1]$ = $4mn(5m + 7n)(45m-62)$  3)$x(x+2)(x+4)(x+6) + x(x+ 2)$ = $x(x+2)[(x+4)(x+6) + 1]$ = $x(x+2)(x^{2} + 10x + 25)$ 

Aluminium foil is used to make aseptic packaging, hence enables storage of perishable goods without refrigeration. Aluminium foil provides a complete barrier to light, oxygen, moisture and bacteria. This is why Aluminium foil is used extensively in food and pharmaceutical packaging. 

Given: A regular polygon's interior angles measure 108°To find: How many sides does this polygon hasSolution:The sum of interior angles of a regular polygon of n sides is $(n-2)\times180°$ If each of the interior angles is 108°, then are n interior angles Sum of interior angles =>$108n = (n-2)180$Solving for n    =$180n - 108n$ = $72n = 360$ =>$n = \frac{360}{72} = 5$ So the given regular polygon is a pentagon as it has five equal sides.

Given: An urn contains 10 red and 8 white ballsOne ball is drawn at random To find:  Find the probability that the ball drawn is white. Solution:Number of red balls = 10 Number of white balls = 8 Total number of possible events = 18 Number of favourable events, the event of drawing a white ball = 8 So probability of drawing a white ball = $\frac{Number\ of\ favourable\ events}{Number\ of\ possible\ events}$ = $\frac{8}{18}$ = $\frac{4}{9}$ AnswerTherefore the probability of drawing a white ball is $\frac{4}{9}$

Solution:A convex polygon is a simple polygon (not self-intersecting) in which no line segment between any two points on the boundary ever goes outside the polygon. This applies to quadrilaterals also as they are also polygons with four sides.  A rectangle is a quadrilateral as it has four sides. A rectangle is a convex quadrilateral because no line segment between any two points on its boundary goes outside the rectangle. No diagonal of a rectangle lies outside the rectangle.

The Metal Age is divided into three stages: the Copper Age, the Bronze Age and the Iron Age.During the Metal Ages, people made a variety of metal objects.

Advantages of friction: Friction enables us to walk easily.It becomes possible to transfer one form of energy to another.Objects can be piled up without slipping.Vehicles can be stopped by applying brakes because of frictionDisadvantages of friction:It always resists the motion, so energy is wastedIt causes wear and tear of machines.A lot of heat and sound are generated in machines due to friction