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\(PTK_x=2\cdot56+\left(32+16\cdot4\right)a=400\\ \Rightarrow96a=288\\ \Rightarrow a=3\)
Do đó CTHH \(X:Fe_2\left(SO_4\right)_3\)
Vì \(SO_4\left(II\right)\Rightarrow Fe\left(III\right)\)
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(=\frac{16}{32}+\frac{8}{32}+\frac{4}{32}+\frac{2}{32}+\frac{1}{32}\)
\(=\frac{31}{32}\)
Ta có: \(n_{CH_3COOH}=\dfrac{60}{60}=1\left(mol\right)\)
a, PT: \(2CH_3COOH+K_2CO_3\rightarrow2CH_3COOK+CO_2+H_2O\)
_________1____________________1_________0,5 (mol)
b, VCO2 = 0,5.22,4 = 11,2 (l)
c, mCH3COOK = 1.98 = 98 (g)
Bạn tham khảo nhé!
a) PTHH: 2CH3COOH + K2CO3 → 2CH3COOK + CO2↑ + H2O
b) nCH3COOH = \(\dfrac{m}{M}=\dfrac{60}{60}=1\left(mol\right)\)
Theo PTHH: nCO2 = \(\dfrac{1}{2}\).nCH3COOH = 0,5 (mol)
=> VCO2 (đktc) = n.22,4 = 0,5.22,4 = 11,2 (lít)
c) Theo PTHH: nCH3COOK = nCH3COOH = 1 (mol)
=> mCH3COOK = n.M = 1.98 = 98 (g)
Mặc dù hơi muộn nhưng mà chúc bạn thi đạt kết quả tốt nha ^_^
\(5^{11}và7^7=\left(5.7\right)^4và\left(7.5\right)^2=35^4>35^2\)
a: Bảng tần số:
| Thời gian | 15 | 17 | 18 | 19 | 20 | 23 |
| Tần số | 1 | 3 | 2 | 1 | 6 | 5 |
Lớp 8A có 18 bạn nam
Mốt của dấu hiệu là 20
b: thời gian trung bình là;
\(\dfrac{15\cdot1+17\cdot3+18\cdot2+19\cdot1+20\cdot6+23\cdot5}{18}\simeq19,78\)
d: Thời gian chạy của bạn đó là;
20*19-19,78*18=23,96(giây)
\(=\left(\dfrac{\sqrt{5}\left(\sqrt{3}-2\right)}{\sqrt{3}-2}+\dfrac{\sqrt{6}\left(\sqrt{3}+\sqrt{2}\right)}{\sqrt{3}+\sqrt{2}}-\dfrac{\sqrt{6}-\sqrt{5}}{\left(\sqrt{6}-\sqrt{5}\right)\left(\sqrt{6}+\sqrt{5}\right)}\right):\sqrt{\dfrac{5}{2}}\)
\(=\left(\sqrt{5}+\sqrt{6}-\sqrt{6}+\sqrt{5}\right):\dfrac{\sqrt{5}}{\sqrt{2}}\)
\(=2\sqrt{5}.\dfrac{\sqrt{2}}{\sqrt{5}}=2\sqrt{2}\)
a) Ta có: \(\left(\dfrac{\sqrt{15}-\sqrt{20}}{\sqrt{3}-2}+\dfrac{3\sqrt{2}+2\sqrt{3}}{\sqrt{3}+\sqrt{2}}-\dfrac{1}{\sqrt{6}+\sqrt{5}}\right):\sqrt{\dfrac{5}{2}}\)
\(=\left(\sqrt{5}+\sqrt{6}-\sqrt{6}+\sqrt{5}\right):\dfrac{\sqrt{10}}{2}\)
\(=2\sqrt{5}\cdot\dfrac{2}{\sqrt{10}}=2\sqrt{2}\)
`#040911`
`b)`
\(A=\dfrac{1}{1\times3}+\dfrac{1}{3\times5}+\dfrac{1}{5\times7}+...+\dfrac{1}{19\times21}\)
`=`\(\dfrac{1}{2}\times\left(\dfrac{2}{1\times3}+\dfrac{2}{3\times5}+\dfrac{2}{5\times7}+...+\dfrac{2}{19\times21}\right)\)
`=`\(\dfrac{1}{2}\times\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{19}-\dfrac{1}{21}\right)\)
`=`\(\dfrac{1}{2}\times\left(1-\dfrac{1}{21}\right)\)
\(=\dfrac{1}{2}\times\dfrac{20}{21}\\ =\dfrac{10}{21}\\ \text{ Vậy, A = }\dfrac{10}{21}\)
Bài 3:
a: \(M=\left(6x-2\right)^2+\left(5x-2\right)^2-\left(4-12x\right)\left(2-5x\right)\)
\(=\left(6x-2\right)^2-2\left(6x-2\right)\left(5x-2\right)+\left(5x-2\right)^2\)
\(=\left(6x-2-5x+2\right)^2=x^2\)
b: \(N=\left(x^2+9x+1\right)^2+9\left(1-6x+9x^2\right)-6\left(3x-1\right)\left(x^2+9x+1\right)\)
\(=\left(x^2+9x+1\right)^2-2\left(x^2+9x+1\right)\left(9x-3\right)+\left(9x-3\right)^2\)
\(=\left(x^2+9x+1-9x+3\right)^2=\left(x^2+4\right)^2=x^4+8x^2+16\)
c: \(P=\left(3x^3+3x+1\right)\left(3x^3-3x+1\right)-\left(3x^3+1\right)^2\)
\(=\left(3x^3+1\right)^2-9x^2-\left(3x^3+1\right)^2\)
\(=-9x^2\)
d: \(Q=\left(a^2+4a+4\right)^2-\left\lbrack2\left(a^2-4\right)^{}\right\rbrack^2+4\left(a-2\right)^4\)
\(=\left(a^2+4a+4\right)^2-4\left(a^2+4a+4\right)\left(a^2-4a+4\right)+4\left(a^2-4a+4\right)^2\)
\(=\left(a^2+4a+4-2a^2+8a-8\right)^2=\left(-a^2+12a-4\right)^2\)
Bài 5:
a: \(A=-2x^2+3x-5\)
\(=-2\left(x^2-\frac32x+\frac52\right)\)
\(=-2\left(x^2-2\cdot x\cdot\frac34+\frac{9}{16}+\frac{31}{16}\right)=-2\left(x-\frac34\right)^2-\frac{31}{8}\le-\frac{31}{8}\forall x\)
Dấu '=' xảy ra khi \(x-\frac34=0\)
=>x=3/4
b: \(B=\frac12x^2+x-1\)
\(=\frac12\left(x^2+2x-2\right)\)
\(=\frac12\left(x^2+2x+1-3\right)=\frac12\left(x+1\right)^2-\frac32\ge-\frac32\forall x\)
Dấu '=' xảy ra khi x+1=0
=>x=-1
d: D=(x-1)(x+2)(x+3)(x+6)
\(=\left(x^2+5x-6\right)\left(x^2+5x+6\right)=\left(x^2+5x\right)^2-36\ge-36\forall x\)
Dấu '=' xảy ra khi \(x^2+5x=0\)
=>x(x+5)=0
=>x∈{0;-5}




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