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\(n_{Fe_3O_4}=\dfrac{8}{232}=\dfrac{1}{29}\left(mol\right)\)
\(Fe_3O_4+8HCl\rightarrow FeCl_2+2FeCl_3+4H_2O\)
\(\dfrac{1}{29}.......\dfrac{8}{29}................\dfrac{2}{29}\)
\(m_{HCl}=\dfrac{8}{29}\cdot36.5=10.06\left(g\right)\)
\(m_{FeCl_3}=\dfrac{2}{29}\cdot162.5=11.21\left(g\right)\)
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3. are there any eggs?-No, there aren't some
4.is there any salt?- yes, there is any
5.are there any carrots?-yes, there are some
6.are there any apples?-no there aren't some
7.is there any suger?-yes, there is any
8.are there any cakes?-no there aren't some
9.is there any butter?-no. there isn't any
10. is there any mineral water?- yes. there is any
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Bài 1:
a) \(=\dfrac{\sqrt{5}.\sqrt{7}}{5}=\dfrac{\sqrt{35}}{5}\)
b) \(=\dfrac{\left|y\right|}{\sqrt{3}}=\dfrac{\sqrt{3}y}{3}\)
c) \(=\dfrac{\sqrt{2}}{\sqrt{t}}=\dfrac{\sqrt{2t}}{t}\)
d) \(=\sqrt{\dfrac{7p^2-3p^2}{7}}=\sqrt{\dfrac{4p^2}{7}}=\dfrac{2\left|p\right|}{\sqrt{7}}=\dfrac{-2\sqrt{7}p}{7}\)
Bài 2:
a) \(=\dfrac{\sqrt{21}-\sqrt{15}}{3}\)
b) \(=\dfrac{10\left(4+3\sqrt{2}\right)}{16-18}=-20-15\sqrt{2}\)
c) \(=\dfrac{\left(3\sqrt{10}-5\right)\left(6+\sqrt{10}\right)}{36-10}=\dfrac{18\sqrt{10}+30-30-5\sqrt{10}}{26}=\dfrac{13\sqrt{10}}{26}=\dfrac{\sqrt{10}}{2}\)
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\(a) Mg + 2CH_3COOH \to (CH_3COO)_2Mg + H_2\\ n_{H_2} = n_{Mg} = \dfrac{9,6}{24} = 0,4(mol)\\ V_{H_2} = 0,4.22,4 = 8,96(lít)\\ b) n_{(CH_3COO)_2Mg} = n_{Mg} = 0,4(mol)\\ m_{Muối} = 0,4.142 = 56,8(gam)\\ c) n_{CH_3COOH} = 2n_{Mg} = 0,8(mol)\\ m_{dd\ CH_3COOH} = \dfrac{0,8.60}{6\%} = 800(gam)\\ d) C_2H_5OH + O_2 \xrightarrow{men\ giấm} CH_3COOH + H_2O\\ n_{C_2H_5OH} = n_{CH_3COOH} = 0,8(mol)\\ m_{C_2H_5OH} = 0,8.46 = 36,8(gam)\)
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Gọi O là trọng tâm tam giác ABC.
Dựng hình bình hành ABCE.
Ta có \(\overrightarrow{MA}+\overrightarrow{MB}+\overrightarrow{MC}=3\overrightarrow{MO}\).
\(\overrightarrow{MA}-\overrightarrow{MB}+\overrightarrow{MC}=\overrightarrow{BA}+\overrightarrow{MC}=\overrightarrow{CE}+\overrightarrow{MC}=\overrightarrow{ME}\).
Từ đó \(T=3MO+3ME\ge3OE\).
Dấu bằng xảy ra khi và chỉ khi M là giao của OE và AC, tức M là trung điểm của AC.
Vậy...
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a: \(A=\sqrt{x^2+2x+5}=\sqrt{x^2+2x+1+4}\)
=>\(A=\sqrt{\left(x+1\right)^2+4}>=\sqrt{4}=2\)
b: \(B=\sqrt{x^2-4x+4+1}=\sqrt{\left(x-2\right)^2+1}>=1\)