Giải giúp mk với cần gấp
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Câu 1.
Công suất của bếp điện:
\(P=\dfrac{U^2}{R}=\dfrac{220^2}{48,4}=1000W\)
Câu 2.
a)Đổi: \(341mA=341\cdot10^{-3}A\)
Điện trở đèn: \(R=\dfrac{U}{I}=\dfrac{220}{341\cdot10^{-3}}\approx645,16\Omega\)
Công suất đèn: \(P=U.I=220\cdot341\cdot10^{-3}=75,02W\)
b)Điện năng tiêu thụ của đèn: \(A=UIt=Pt=75,02\cdot30\cdot4\cdot3600=32408640J=9,0024kWh\)
Số đếm tương ứng của công tơ điện là 9,0024 số điện.
Bài 2 tính công thực hiện của bạn nhân 4 chứ không phải nhân 24 nhé.
a: \(=\dfrac{1}{3}-\dfrac{17}{6}+\dfrac{4}{3}=\dfrac{5}{3}-\dfrac{17}{6}=\dfrac{10-17}{6}=\dfrac{-7}{7}\)
b: \(=\dfrac{5+6}{12}=\dfrac{11}{12}\)
c: \(=\dfrac{-12+7}{28}\cdot\dfrac{28}{15}=\dfrac{-5}{15}=\dfrac{-1}{3}\)
d: \(=\dfrac{2}{3}+\dfrac{1}{5}-\dfrac{4}{15}=\dfrac{10+3-4}{15}=\dfrac{9}{15}=\dfrac{3}{5}\)
e: \(=\dfrac{-3}{16}\left(\dfrac{8}{15}+\dfrac{7}{15}\right)-\dfrac{5}{16}=\dfrac{-3-5}{16}=\dfrac{-1}{2}\)
f: \(=\dfrac{-20}{23}-\dfrac{2}{23}+\dfrac{2}{3}+\dfrac{2}{5}+\dfrac{7}{15}\)
\(=-1+\dfrac{10+6+7}{15}=\dfrac{-15+23}{15}=\dfrac{8}{15}\)
g: =5/7(5/11+2/11-14/11)
=-7/11*5/7=-5/11
h: =-5/7(10/13+3/13)+1+5/7
=-5/7+1+5/7
=1
i: \(=\dfrac{7}{4}\left(\dfrac{29}{5}-\dfrac{9}{5}\right)+3+\dfrac{2}{13}=7+3+\dfrac{2}{13}=10+\dfrac{2}{13}=\dfrac{132}{13}\)
5.
\(n_{Na}=a\left(mol\right)\)
\(Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)
\(a...............a.....0.5a\)
\(m_{\text{dung dịch sau phản ứng}}=23a+500-0.5a\cdot2=22a+500\left(g\right)\)
\(m_{NaOH}=40a\left(g\right)\)
\(C\%_{NaOH}=\dfrac{40a}{22a+500}\cdot100\%=20\%\)
\(\Rightarrow a=2.8\)
\(b.\)
\(n_{H^+}=10^{-3}\cdot V\cdot\left(1+0.5\cdot2\right)=2\cdot10^{-3}V\left(mol\right)\)
\(\Rightarrow n_{NaOH}=2\cdot10^{-3}V=2.8\left(mol\right)\)
\(\Rightarrow V=1400\)
ĐK: \(\left\{{}\begin{matrix}x\ne-y\\y\ge\dfrac{3}{2}\end{matrix}\right.\).
\(\left\{{}\begin{matrix}\dfrac{2x-y+3}{x+y}=1\\2x-\sqrt{2y-3}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{2x-y+3}{x+y}-1=0\\2x-\sqrt{2y-3}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{2x-y+3}{x+y}-\dfrac{x+y}{x+y}=0\\2x-\sqrt{2y-3}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x-y+3-x-y=0\\2x-\sqrt{2y-3}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-2y+3=0\\2x-\sqrt{2y-3}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-\left(2y-3\right)=0\\2x-\sqrt{2y-3}=0\end{matrix}\right..\)
Đặt a = x, b = \(\sqrt{2y-3}\).
Hệ phương trình trở thành: \(\left\{{}\begin{matrix}a-b^2=0\\2a-b=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=b^2\\2b^2-b=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=b^2\\b\left(2b-1\right)=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=b^2\\\left[{}\begin{matrix}b=0\\b=\dfrac{1}{2}\end{matrix}\right.\end{matrix}\right.\left\{{}\begin{matrix}\left[{}\begin{matrix}a=0\\a=\dfrac{1}{4}\end{matrix}\right.\\\left[{}\begin{matrix}b=0\\b=\dfrac{1}{2}\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}x=0\\x=\dfrac{1}{4}\end{matrix}\right.\\\left[{}\begin{matrix}y=\dfrac{3}{2}\\2y-3=\dfrac{1}{4}\end{matrix}\right.\end{matrix}\right.\left\{{}\begin{matrix}\left[{}\begin{matrix}x=0\\x=\dfrac{1}{4}\end{matrix}\right.\\\left[{}\begin{matrix}y=\dfrac{3}{2}\\2y=\dfrac{13}{4}\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}x=0\\x=\dfrac{1}{4}\end{matrix}\right.\\\left[{}\begin{matrix}y=\dfrac{3}{2}\\y=\dfrac{13}{8}\end{matrix}\right.\end{matrix}\right..\)
Vậy hệ phương trình có nghiệm (x;y) \(\in\) \(\left\{\left(0;\dfrac{3}{2}\right),\left(\dfrac{1}{4};\dfrac{13}{8}\right)\right\}\).
Hết: \(3,25\times15+4,75\times15=15\times\left(3,25+4,75\right)=15\times8=120\left(m.vải\right)\)
A=B:C
\(B=\dfrac{x}{x^2-4}+\dfrac{x}{2-x}+\dfrac{1}{x+2}=\dfrac{x}{\left(x-2\right)\left(x+2\right)}-\dfrac{2}{x-2}+\dfrac{1}{x+2}\)
\(B=\dfrac{x-2\left(x+2\right)+\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{x-2x-4+x-2}{\left(x-2\right)\left(x+2\right)}=\dfrac{-6}{\left(x-2\right)\left(x+2\right)}\)
\(C=\left(x-2\right)+\dfrac{10-x^2}{x+2}=\dfrac{x^2-4+10-x^2}{x+2}=\dfrac{6}{x+2}\)
\(A=B.\dfrac{1}{C}=\dfrac{-6}{\left(x-2\right)\left(x+2\right)}.\dfrac{\left(x+2\right)}{6}\)
a)
\(A=\left\{{}\begin{matrix}\left|x\right|\ne2\\\dfrac{1}{2-x}\end{matrix}\right.\)
\(A\left(\dfrac{1}{2}\right)=\dfrac{1}{2-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{2}}=\dfrac{2}{3}\)
\(A\left(-\dfrac{1}{2}\right)=\dfrac{1}{2+\dfrac{1}{2}}=\dfrac{2}{5}\)
b) \(A< 0\Rightarrow2-x< 0\Rightarrow x>2\)