137*17+83*79-58*17 làm ơn giúp em với ạ! Gấp ạ!
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Bài 79:
\(2Fe+3Cl_2\rightarrow\left(t^o\right)2FeCl_3\\ Cu+Cl_2\rightarrow\left(t^o\right)CuCl_2\\ Đặt:n_{Fe}=a\left(mol\right);n_{Cu}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}56a+64b=60\\33,6a+22,4b=28\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,5\\b=0,5\end{matrix}\right.\\ \Rightarrow\%m_{Cu}=\dfrac{64.50\%}{60}.100=\approx53,333\%\)
Chọn B
Bài 80:
\(M+Cl_2\rightarrow\left(t^o\right)MCl_2\\ ĐLBTKL:m_M+m_{Cl_2}=m_{MCl_2}\\ \Leftrightarrow2,42+m_{Cl_2}=9,5\\ \Leftrightarrow m_{Cl_2}=7,08\left(g\right)\\ \Rightarrow n_{Cl_2}=\dfrac{7,08}{71}=\dfrac{177}{1775}\left(mol\right)\\ \Rightarrow n_M=n_{Cl_2}=\dfrac{177}{1775}\left(mol\right)\\ \Rightarrow M_M=\dfrac{2,42}{\dfrac{177}{1775}}\approx24,268\left(\dfrac{g}{mol}\right)\\ \Rightarrow M:Magie\left(Mg\right)\\ \Rightarrow ChọnB\)
x−1189+x−1387+x−1585+x−1783=4x−1189+x−1387+x−1585+x−1783=4=>(x−1189−1)+(x−1387−1)+(x−1585−1)+(x−1783−1)=0=>(x−1189−1)+(x−1387−1)+(x−1585−1)+(x−1783−1)=0=>x−10089+x−10087+x−10085+x−10083=0=>x−10089+x−10087+x−10085+x−10083=0=>(x−100)(189+187+185+183)=0=>(x−100)(189+187+185+183)=0=> x-100 =0 => x=100Vậy nghiệm là 100
ta có 0=\(\frac{x-11}{89}-1+\frac{x-13}{87}-1+\frac{x-15}{85}-1+\frac{x-17}{83}-1=0\)
0=\(\frac{x-11-89}{89}+\frac{x-13-87}{87}+\frac{x-15-85}{85}+\frac{x-17-83}{83}\)
0=\(\frac{x-100}{89}+\frac{x-100}{87}+\frac{x-100}{85}+\frac{x-100}{83}\)
0=(x-100)(\(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\))
vì \(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\)khác 0 suy ra x-100=0
x=100
10.
\(\dfrac{sin3x-cos3x}{sinx+cosx}=\dfrac{3sinx-4sin^3x-\left(4cos^3x-3cosx\right)}{sinx+cosx}\)
\(=\dfrac{3\left(sinx+cosx\right)-4\left(sin^3x+cos^3x\right)}{sinx+cosx}\)
\(=\dfrac{3\left(sinx+cosx\right)-4\left(sinx+cosx\right)\left(sin^2x+cos^2x-sinx.cosx\right)}{sinx+cosx}\)
\(=\dfrac{3\left(sinx+cosx\right)-4\left(sinx+cosx\right)\left(1-sinx.cosx\right)}{sinx+cosx}\)
\(=\dfrac{\left(sinx+cosx\right)\left(3-4+4sinx.cosx\right)}{sinx+cosx}\)
\(=-1+4sinx.cosx\)
\(=2sin2x-1\)
11.
\(tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right)\dfrac{1+cos\left(\dfrac{\pi}{2}+x\right)}{sin\left(\dfrac{\pi}{2}+x\right)}=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right).\dfrac{1+sin\left(-x\right)}{cos\left(-x\right)}\)
\(=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right).\dfrac{1-sinx}{cosx}=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right)\dfrac{sin^2\dfrac{x}{2}+cos^2\dfrac{x}{2}-2sin\dfrac{x}{2}cos\dfrac{x}{2}}{cos^2\dfrac{x}{2}-sin^2\dfrac{x}{2}}\)
\(=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right).\dfrac{\left(cos\dfrac{x}{2}-sin\dfrac{x}{2}\right)^2}{\left(cos\dfrac{x}{2}-sin\dfrac{x}{2}\right)\left(cos\dfrac{x}{2}+sin\dfrac{x}{2}\right)}\)
\(=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right).\dfrac{cos\dfrac{x}{2}-sin\dfrac{x}{2}}{cos\dfrac{x}{2}+sin\dfrac{x}{2}}\)
\(=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right).\dfrac{cos\left(\dfrac{x}{2}+\dfrac{\pi}{4}\right)}{sin\left(\dfrac{x}{2}+\dfrac{\pi}{4}\right)}\)
\(=tan\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right).cot\left(\dfrac{\pi}{4}+\dfrac{x}{2}\right)\)
\(=1\)
137 x 17 + 89 x 79 - 58 x 17
= ( 137 x 17 ) + ( 89 x 79 ) - ( 58 x 17 )
= 2329 + 7031 - 986
= 8374