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Câu 3:
a: \(\left(x+2\right)^2=x^2+4x+4\)
b: \(\left(x+3\right)^2=x^2+6x+9\)
c: \(\left(x-3\right)^2=x^2-6x+9\)
d: \(\left(x-7\right)^2=x^2-14x+49\)
e: \(x^2-6x+9=\left(x-3\right)^2\)
f: \(x^2-8x+16=\left(x-4\right)^2\)
g: \(=\left(x-10\right)\left(x+10\right)\)
h: \(=\left(x-11\right)\left(x+11\right)\)
a) Hiệu suất thụ tinh của trứng và tinh trùng lak 100%
-> Số trứng tham gia thụ tinh : 16 trứng
Số tinh trùng tham gia thụ tinh : 16 tinh trùng
b) Số tb sinh tinh : 16 : 4 = 4 (tb) (mak mik hỏi tí lak chữ "tg" sau chỗ tb sinh tinh lak viết tắt j v mik ko đọc đc)
c) Kỳ sau giảm phân II :
Số NST : 2n đơn = 16 NST
Số tâm động: 2n = 16 tâm động
Số cromatit : 0 cromatit
2:
a: =(1+căn 3)^2-5
=4+2căn 3-5
=2căn 3-1
b: \(=\sqrt{\dfrac{125}{7}\cdot\dfrac{35}{81}}=\sqrt{\dfrac{625}{81}}=\dfrac{25}{9}\)
c: \(=\left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right)-\sqrt{6}+\sqrt{2}\)
=2-căn 6+căn 2
3:
a: \(=\dfrac{2\sqrt{3}+3\sqrt{3}-\sqrt{3}}{\sqrt{3}}=2+3-1=5\)
b: \(=\dfrac{6\sqrt{2}+7\sqrt{2}-5\sqrt{2}}{\sqrt{2}}=13-5=8\)
c: \(=\dfrac{12-10+8}{2}=5\)
d: \(=\sqrt{\dfrac{1}{5}:5}-\sqrt{\dfrac{9}{5}:5}+\sqrt{5:5}\)
=1/5-3/5+1
=3/5
Bài 1:
(1) \(4Al+3O_2\xrightarrow[]{t^o}2Al_2O_3\)
(2) \(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)
(3) \(AlCl_3+3KOH\rightarrow3KCl+Al\left(OH\right)_3\downarrow\)
(4) \(Al\left(OH\right)_3+3HCl\rightarrow AlCl_3+3H_2O\)
(5) \(2Al\left(OH\right)_3\xrightarrow[]{t^o}Al_2O_3+3H_2O\)
(6) \(Al\left(OH\right)_3+NaOH\rightarrow NaAlO_2+2H_2O\)
(7) \(Al_2O_3+2NaOH\rightarrow2NaAlO_2+H_2O\)
(8) \(Al+NaOH+H_2O\rightarrow NaAlO_2+\dfrac{3}{2}H_2\uparrow\)
(9) \(2Al_2O_3\xrightarrow[criolit]{đpnc}4Al+3O_2\)
Bài 2:
PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)
a_______a_______a_____a (mol)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
b_______b________b____b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}56a+24b=21,6\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,3\cdot56}{21,6}\cdot100\%\approx77,78\%\\\%m_{Mg}=22,22\%\end{matrix}\right.\)
Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{Mg\left(OH\right)_2}=n_{Mg}=0,2\left(mol\right)\\n_{Fe\left(OH\right)_2}=n_{Fe}=0,3\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{kết.tủa}=m_{Fe\left(OH\right)_3}+m_{Mg\left(OH\right)_2}=0,3\cdot107+0,2\cdot56=43,3\left(g\right)\)
Theo các PTHH: \(n_{H_2SO_4\left(p/ứ\right)}=0,5\left(mol\right)\) \(\Rightarrow n_{H_2SO_4\left(ban.đầu\right)}=0,5\cdot120\%=0,6\left(mol\right)\)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,6\cdot98}{10\%}=588\left(g\right)\)
Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{MgO}=n_{Mg}=0,2\left(mol\right)\\n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=0,15\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{chất.rắn}=m_{MgO}+m_{Fe_2O_3}=0,2\cdot40+0,15\cdot160=32\left(g\right)\)
1b)
Song song => (d): x-y +a =0
Vì d đi qua C(2;-2) => 2- (-2)+a=0
<=>a=4
=> d: x-y+4=0
Bài 2:
a: =>168x+20=6x-21
=>162x=-41
hay x=-41/162
b: \(\Leftrightarrow2\left(3x-8\right)=3\left(5-x\right)\)
=>6x-16=15-3x
=>9x=31
hay x=31/9
c: \(\Leftrightarrow4\left(x^2+8x-20\right)-\left(x+4\right)\left(x+10\right)=3\left(x^2+2x-8\right)\)
\(\Leftrightarrow4x^2+32x-80-x^2-14x-40-3x^2-6x+24=0\)
=>12x-96=0
hay x=8
2) So sánh:
a) \(3^{24}=\left(3^6\right)^4=729^4< 3125^4=\left(5^5\right)^4=5^{20}\)
c) \(\left(\frac{1}{2}\right)^{300}=\left(\frac{1}{2^3}\right)^{100}=\left(\frac{1}{8}\right)^{100}>\left(\frac{1}{9}\right)^{100}=\left(\frac{1}{3^2}\right)^{100}=\left(\frac{1}{3}\right)^{200}\)
b) \(17^{20}=\left(17^4\right)^5>\left(3^4\right)^5=81^5>71^5\)
d) \(\left(\frac{1}{3}\right)^{75}=\left(\frac{1}{3^3}\right)^{25}=\left(\frac{1}{27}\right)^{25}< \left(\frac{1}{25}\right)^{25}=\left(\frac{1}{5^2}\right)^{25}=\left(\frac{1}{5}\right)^{50}\)
e) \(2^{27}=\left(2^3\right)^9=8^9< 9^9=\left(3^2\right)^9=3^{18}\)
g) \(32^9=\left(2^5\right)^9=2^{45}=2^{13}.2^{32}=2^{13}.\left(2^4\right)^8=2^{13}.16^8< 2^{13}.27^8=2^{13}.3^{24}\)
\(< 2^{13}.3^{26}=\left(2.3^2\right)^{13}=18^{13}\)
3) Tìm \(x\), biết:
a) \(\left(\frac{3}{4}\right)^x=\frac{2^8}{3^4}\)
\(\Leftrightarrow\left(\frac{3}{4}\right)^x=\left(\frac{4}{3}\right)^4\)
\(\Leftrightarrow\left(\frac{3}{4}\right)^x=\left(\frac{3}{4}\right)^{-4}\)
\(\Leftrightarrow x=-4\)
b) \(\left(x-2\right)^8=\left(x-2\right)^6\)
\(\Leftrightarrow\left(x-2\right)^6\left[\left(x-2\right)^2-1\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\\left(x-2\right)^2=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=3,x=1\end{cases}}\).
c) \(\left(1,78^{2x-2}-1,78^x\right)\div1,78^x=0\)
\(\Leftrightarrow1,78^{x-2}-1=0\)
\(\Leftrightarrow1,78^{x-2}=1,78^0\)
\(\Leftrightarrow x-2=0\)
\(\Leftrightarrow x=2\).
d) \(5^{\left(x-2\right)\left(x+3\right)}=1\)
\(\Leftrightarrow\left(x-2\right)\left(x+3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x+3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=-3\end{cases}}\)
e) \(2021^{x^2+3x-4}=1\)
\(\Leftrightarrow x^2+3x-4=0\)
\(\Leftrightarrow\left(x+4\right)\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=0\\x-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-4\\x=1\end{cases}}\)