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Question Number 188786 Answers: 1 Comments: 1

Question Number 188776 Answers: 3 Comments: 1

Prove that n^2 +3n+2 is divisible by 2 for any n∈Z

$$\mathrm{Prove}\:\mathrm{that}\:{n}^{\mathrm{2}} +\mathrm{3}{n}+\mathrm{2}\:\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{2} \\ $$$$\mathrm{for}\:\mathrm{any}\:{n}\in\mathbb{Z} \\ $$

Question Number 188774 Answers: 1 Comments: 0

Question Number 188775 Answers: 1 Comments: 0

how is solution 72.5gr of the [C_3 H_6 O] how many Molecule of [H] exist?

$${how}\:{is}\:{solution} \\ $$$$\mathrm{72}.\mathrm{5}{gr}\:\:\:{of}\:{the}\:\left[{C}_{\mathrm{3}} {H}_{\mathrm{6}} {O}\right]\:{how}\:{many}\:\mathrm{Molecule}\:{of}\:\left[{H}\right]\:{exist}? \\ $$

Question Number 188771 Answers: 0 Comments: 1

Question Number 188761 Answers: 0 Comments: 1

How we can use the polynomial in daily life? please tell me an example!

$${How}\:{we}\:{can}\:{use}\:{the}\:{polynomial}\:{in}\: \\ $$$${daily}\:{life}?\:{please}\:{tell}\:{me}\:{an}\:{example}! \\ $$

Question Number 188759 Answers: 3 Comments: 0

Question Number 188758 Answers: 3 Comments: 0

the sum of the first three terms of an AP is 21 and the sum of the first five terms is 55. find. (1) the first term (2) common difference (3) the sum of the first ten term of the sequence

$${the}\:{sum}\:{of}\:{the}\:\:{first}\:{three}\:{terms} \\ $$$${of}\:{an}\:{AP}\:{is}\:\mathrm{21}\:{and}\:\:{the}\:{sum}\:{of}\:{the} \\ $$$${first}\:\:{five}\:{terms}\:{is}\:\mathrm{55}.\:{find}. \\ $$$$\left(\mathrm{1}\right)\:{the}\:{first}\:{term} \\ $$$$\left(\mathrm{2}\right)\:{common}\:{difference} \\ $$$$\left(\mathrm{3}\right)\:{the}\:{sum}\:{of}\:{the}\:{first}\:{ten}\:{term} \\ $$$${of}\:{the}\:\:{sequence} \\ $$$$ \\ $$

Question Number 188755 Answers: 0 Comments: 2

Question Number 188753 Answers: 1 Comments: 0

x^2 − y^2 = 2023 x, y ∈ N How many pair of (x, y)

$$\:{x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:=\:\mathrm{2023}\:\:\:\:\:\:\:\:\:{x},\:{y}\:\in\:\mathrm{N} \\ $$$$\:\mathrm{H}{ow}\:{many}\:{pair}\:{of}\:\left({x},\:{y}\right) \\ $$

Question Number 188752 Answers: 1 Comments: 1

Question Number 188730 Answers: 2 Comments: 2

let p(x) = (5/3)−6x−9x^2 and Q(y) = −4y^2 −4y+((13)/2) if there exist unique pair of real number (x,y) such that p(x)×Q(y) = 20 then find the value 6x+10y = ?

$$\:\:\mathrm{let}\:{p}\left({x}\right)\:=\:\frac{\mathrm{5}}{\mathrm{3}}−\mathrm{6}{x}−\mathrm{9}{x}^{\mathrm{2}} \:\mathrm{and}\:{Q}\left({y}\right)\:=\:−\mathrm{4}{y}^{\mathrm{2}} −\mathrm{4}{y}+\frac{\mathrm{13}}{\mathrm{2}} \\ $$$$\mathrm{if}\:\mathrm{there}\:\mathrm{exist}\:\mathrm{unique}\:\mathrm{pair}\:\mathrm{of}\:\mathrm{real}\:\mathrm{number} \\ $$$$\:\left({x},{y}\right)\:\mathrm{such}\:\mathrm{that}\:{p}\left({x}\right)×{Q}\left({y}\right)\:=\:\mathrm{20}\:\mathrm{then} \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{6}{x}+\mathrm{10}{y}\:=\:? \\ $$

Question Number 188726 Answers: 0 Comments: 2