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PTHH: \(Al_2O_3+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\)
Ta có: \(\left\{{}\begin{matrix}m_{H_2SO_4}=588\cdot5\%=29,4\left(g\right)\Rightarrow n_{H_2SO_4}=\dfrac{29,4}{98}=0,3\left(mol\right)\\n_{Al_2O_3}=\dfrac{20,4}{102}=0,2\left(mol\right)\end{matrix}\right.\)
Xét tỉ lệ: \(\dfrac{0,2}{1}>\dfrac{0,3}{3}\) \(\Rightarrow\) Al2O3 còn dư
\(\Rightarrow n_{Al_2\left(SO_4\right)_3}=0,1\left(mol\right)=n_{Al_2O_3\left(dư\right)}\)
\(\Rightarrow C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,1\cdot342}{20,4+588-0,1\cdot102}\cdot100\%\approx5,72\%\)
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\(d,ĐK:x\ge1\\ PT\Leftrightarrow\sqrt{x-1}=2+\sqrt{x+1}\\ \Leftrightarrow x-1=2+x+1+4\sqrt{x+1}\\ \Leftrightarrow4\sqrt{x+1}=-4\Leftrightarrow x\in\varnothing\left(4\sqrt{x+1}\ge0\right)\\ g,ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow x+\sqrt{2x-1}+x-\sqrt{2x-1}+2\sqrt{\left(x+\sqrt{2x-1}\right)\left(x-\sqrt{2x-1}\right)}=2\\ \Leftrightarrow2x+2\sqrt{x^2-2x+1}=2\\ \Leftrightarrow\sqrt{\left(x-1\right)^2}=\dfrac{2-2x}{2}=1-x\\ \Leftrightarrow\left|x-1\right|=1-x\\ \Leftrightarrow\left[{}\begin{matrix}x-1=1-x\left(x\ge1\right)\\x-1=x-1\left(x< 1\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\left(tm\right)\\x\in R\end{matrix}\right.\)
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Bài 3.
Định luật ll Niu-tơn:
\(\overrightarrow{F}+\overrightarrow{F_{ms}}=m\cdot\overrightarrow{a}\)
\(\Rightarrow F-F_{ms}=m\cdot a\)
Gia tốc vật:
\(a=\dfrac{F-F_{ms}}{m}=\dfrac{4,5-\mu mg}{m}=\dfrac{4,5-0,2\cdot1,5\cdot10}{1,5}=1\)m/s2
Vận tốc vật sau 2s:
\(v=a\cdot t=1\cdot2=2\)m/s
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Bài 2:
a: \(\Leftrightarrow4x^2-20x+25-4x^2+12x=0\)
=>-8x=-25
hay x=25/8
1.
a) x (x - 5) + (x + 3)(x - 3)=
= x^2 - 5x + (x + 3)(x - 3)
= x^2 - 5x + x^2 - 9
= x^2 + x^2 - 5x - 9
= 2x^2 - 5x - 9.
b. không thể nhìn thấy hết bài được. Nó bị mất dấu!!
c. (20x^2 + 7x - 6) : (5x - 2)
= (5x - 2) (4x + 3) : (5x - 2)
= 4x + 3.
2.
a. (2x - 5)^2 - 4x (x - 3)= 0
-8x + 25= 0
-8x + 25 - 25= 0 - 25
-8x= -25
-8x : 8= -25 : 8
x = 25/8
Vậy x= 25/8
b. 2(x - 5) - x^2 - 5x= 0
-10x= 0
-10x : (-10)= 0 : (-10)
x= 0
Vậy x= 0
c. Lí do cũng giống câu b bài 1.
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a) điện trở tương đương của đoạn mạch
Rtđ = R1 + R2 =10 + 20= 30 (Ω)
Cường độ dòng điện chạy qua đoạn mạch
I = \(\dfrac{U}{Rtđ}=\dfrac{6}{30}=0,2\left(A\right)\)
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Bài 1:
a: Thay x=9 vào B, ta được:
\(B=\dfrac{2\cdot3+1}{3+2}=\dfrac{7}{5}\)
b: \(P=A:B\)
\(=\dfrac{2\sqrt{x}+1}{x-1}\cdot\left(\sqrt{x}-1\right)\cdot\dfrac{x+2}{2\sqrt{x}+1}=\dfrac{x+2}{\sqrt{x}+1}\)
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\(A=x^2-4xy+4y^2+2x-4y+1+y^2+2y+1+2008\)
\(A=\left(x-2y\right)^2+2\left(x-2y\right)+1+\left(y+1\right)^2+2008\)
\(A=\left(x-2y+1\right)^2+\left(y+1\right)^2+2008\ge2008\)
\(\Rightarrow A_{min}=2008\Leftrightarrow\left\{{}\begin{matrix}x-2y+1=0\\y+1=0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=-3\\y=-1\end{matrix}\right.\)
~REWRITE SENTENCE~
1Thousand of football fans are attracted by the football match.
2:The books are arranged into sections by the librarian.
3:That letter was written by Tom.
4:Those posters are painted last week.
5:The gate was painted by the boys.
6:The lesson is explained by the teacher.
7:The patients were examined by the doctor
8:EG is spoken all over the world.
9:The second goal was scored by TOM
10:That dog was named KIKI