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Notation for mathematical statements
Consider the mathematical statements: 2. $n(n+1)$ is divisible by 2. 2. $3^{2n}-1$ is divisible by 8. 3. $n^2-n+41$ is a prime integer. 4. If a set S contains n distinct objects, then the number of subsets of S is $2^n$. All these statements are concerned with natura..
Solution
% 0% transparent;"> we -1 3 o __ A 3 cos = 0 => cos8= - / -1 3-\ / - -1.4 V 4 sin I cos -j = sin I sin I = K '..
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Example: 72% of 25 teachers are of mathematics subject. How many teanhers are of other subject i.e., not mathematics?
Solution: 72% of 25 teachers are of mathematics subject Therefore, (100 - 72)%, i.e, 28% of 25 teachers are of other subject. Thus, their number = 28% of 25 = ( $\frac{28}{100}$ x 25) = 7 teache..
Adsorption from solutions
;">ii. Increase in temperature decreases the extent of adsorption % (x\ iii. The extent of adsorption ~ is related to the concentration ('c' molar) of the solution through the mathematical formula. -=k.c,/n m where c = equilibrium concentration of the solution when ads..
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math age word problems
Age Word Problems 4:A father and his son are 36 years and 6 years old respectively. In how many years will the father be thrice as old as his son? Solution: We have to find the number of years in which, father will be thrice as old as his son. Let us set up an equation. Let x b..
Importance of studying Chemistry
guiding Questions What is science? How is science different from non-science disciplines? What is ^ chemistry? What does it do? What are laws of nature? What is an experiment? Why r is it important to conduct experiments in science? What is a hypothesis? How is it Qiffererit from spec..