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The climate of a place is predicted with the help of weather reports collected in the past(a) 24 hours (b) Couple of months (c) One year (d) 25 years at least

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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The climate of a place is predicted with the help of weather reports collected in the past-Ans- Option (d) 25 years at least.

Solve the following:

If $x^{2}+\\frac{1}{x^{2}}=3,$ find a) $ x-\\frac{1}{x}$b) $x+\\frac{1}{x} $

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Solution: a)$(x - \frac{1}{x} )^{2} = x^{2} + \frac{1}{x}^{2} - 2 \times x \times \frac{1}{x}$ = $x^{2} + \frac{1}{x}^{2} - 2 $= $3 - 2$ = 1 So ,$(x - \frac{1}{x} ) $= 1 or -1 (b)$(x + \frac{1}{x} )^{2} = x^{2} + \frac{1}{x}^{2} + 2 \times x \times \frac{1}{x}$ = $x^{2} + \frac{1}{x}^{2} + 2 $= 3 + 2 = 5 So ($x + \frac{1}{x}$ ) = √5√5√5 or -√5

Given $(x^{2}+y^{2})$=74 and xy =35, find the value of:a) x+yb) x-y

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Given $(x^{2} + y^{2})$ = 74; xy = 35 To find: a) $x+y$b)$x-y$Solution:a)$(x + y ) ^ {2} = x^{2} + y^{2} + 2xy$= $74 + 2(35)$= $74 + 70 = 144$So $x + y$ = 12 or -12 b) $(x - y ) ^ {2} = x^{2} + y^{2} - 2xy$ = $74 - 2(35) = 74 - 70 = 44$ $x - y$ = 2 or -2

How do we get food?

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Our primary sources of food are plants and secondary animals. We get most of our food from plants & animals. Thus there are two kinds of food, 1. Plant-based food, From plants, we get food from different parts such as roots, leaves, stems, flowers, and fruits.  For example-  vegetables, ... Read More

Why does Light get reflected?

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Light gets reflected or Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. Diffuse reflection is when light hits an object and reflects in lots of ... Read More

Aloe vera is a creeper, climber herb, or shrub?

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Aloe vera is a herbaceous plant or herb (like flowers or grass).It is a succulent plant species of the genus Aloe. Succulents are those plants that store water in their leaves, that are typically thicker than other plants.

How and where silk is made? Explain the different types of silk.

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Silk is a natural fiber that is made by the silkworm ‘Cocoon’. As it’s a strong fiber, it is mainly used in the textile industry. The production of silk and rearing of silkworms is called sericulture.It is known as ‘Resham’ in the northern part of India, and ‘Pattu’ in southern ... Read More

What is the sorting of groups?

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Tutorialspoint

Updated on 10-Oct-2022 09:38:06

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Sorting of objects into groups with each group having its own characteristic properties is called Classification of Objects.We classify objects because it gives us the following advantages:1. Classification of objects makes it easier to locate and identify with them.2. We can get an idea of the properties of other members ... Read More

Rationalise the following:
$\\frac{3+√5}{3-√5}$

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Tutorialspoint

Updated on 10-Oct-2022 09:38:05

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Given:  $\frac{3+√5}{3-√5}$To do: Rationalize the given numberSolution:$\frac{3+√5}{3-√5}$ [Multiply and divide by $3+\sqrt{5}$]=$\frac{3+√5}{3-√5}  \times  \frac{3+√5}{3+√5}$  Numerator- $(a+b)(a+b)=(a+b)^2$Denominator- $(a-b)(a+b)=a^2-b^2$=$\frac{(3+√5)^{2}}{3^{2}-√5^{2}}$ = $\frac{3^{2} + 2 \times 3 \times  √5 + (√5)^2} {9 - 5}$ = $\frac{9 +6√5 + 5}{4}$ = $\frac{14 + 6√5}{4} $ = $\frac{7+3√5}{2}$ Ans

Why mitochondria is known as the powerhouse of the cell?

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Tutorialspoint

Updated on 10-Oct-2022 09:38:05

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Mitochondria are double membrane-bound cell organelles found in most eukaryotic organisms with a typical size of 0.75-3 μm². They are commonly referred to as the ‘powerhouse of the cell’, as they produce the energy necessary for the cell's survival and functioning. The amount of mitochondria in a cell depends on how much ... Read More

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