Rhizobium is a genus of Gram-negative soil bacteria found in the root nodules on leguminous plants. These bacteria live in symbiotic relationship with legumes. Rhizobium fixes the atmospheric nitrogen and fixes it on to the plant, allowing it to grow in soil low in nitrogen.

Given : The diameter of the roller(d) $=0.5 m$. The length of the roller(h) $=1.5 m$. To do : We have to find the number of revolutions by the roller to cover the area of 264 sq m. Solution : Radius $= \frac{d}{2} = \frac{0.5}{2}$ Area covered by the roller ... Read More

Given :The given term is $\sqrt[3] {23 \times 343}$.To do :We have to evaluate the given expression.Solution :$\sqrt[3] {23 \times 343}$We know that, $343 = 7 \times 7 \times 7 = 7^3$So, $\sqrt[3] {23 \times 343} = \sqrt[3] {23 \times 7^3}$$ = \sqrt[3] {23} \times \sqrt[3] {7^3}$$ =  \sqrt[3] {23} \times 7$$ = 7 \sqrt[3] {23}  $Therefore, the value of $\sqrt[3] {23 \times 343}$ is $7 \sqrt[3] {23} $.23×343−−−−−−−√323×3433 sqrt[3]{23times 343}

• Papyrus is a writing material of ancient times and also the plant from which it was derived, Cyperus papyrus, also called paper plant.• The papyrus plant was long cultivated in the Nile delta region in Egypt • It was collected for its stalk or stem, whose central pith was cut ... Read More

Hypotenuse : In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum ... Read More

Electronic devices are components for controlling the flow of electrical currents for the purpose of information processing and system control. Examples include transistors and diodes.These are usually small and can be grouped together into packages called integrated circuits.

Given :The given number is 1000.To do :We have to find the factors of the given number.Solution :$1000=1\times 2\times 2\times 2\times 5\times 5\times 5$$=1\times 1000$$= 2\times 500$$= 4\times 250$$= 5\times 200$$=8\times 125$$=10\times 100$$=20\times 50$$=25\times 40$Therefore,Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500 and 1000.

Given :The length and breadth of a rectangular field are in the ratio 9:5.Area of the field $=14580$ sq m.Cost of fencing per meter $=₹3.25$.To do :We have to find the cost of fencing the rectangular field.Solution :Let the length and breadth of the field be 9x and 5x respectively.Area ... Read More

Estimation of multiplication :To estimate the result of multiplication (product), round the numbers to some close numbers that you can easily multiply mentally. One method of estimation is to round all factors to the biggest digit (place value) they have.In order to estimate products, we round the given factors to ... Read More

Given :The algebraic expressions are given.To do :We have to find which of the given expressions is not a polynomial.Solution :Polynomials: Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power. $x^{2}+\sqrt{2} x+3$, $x^{3}+3 x^{2}-3$, $6 x+4$ are polynomials.$x^{2}-\sqrt{2 x}+6$ in ... Read More