Giúp mình câu 1, 3, 4, 9, 10 với ạ
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A) \(x-\dfrac{2}{3}=\dfrac{4}{5}\\ x=\dfrac{4}{5}+\dfrac{2}{3}\)
\(x=\dfrac{22}{15}\)
b)\(\dfrac{7}{9}-x=\dfrac{1}{3}\\ x=\dfrac{7}{9}-\dfrac{1}{3}\\ x=\dfrac{4}{9}\)
C)\(x:\dfrac{2}{3}=\dfrac{9}{8}\\ x=\dfrac{9}{8}x\dfrac{2}{3}\\ x=\dfrac{3}{4}\)
1)\(\dfrac{2}{9}+\dfrac{-3}{4}+\dfrac{5}{30}\)
\(=\dfrac{2.20}{9.20}+\dfrac{-3.45}{4.45}+\dfrac{5.6}{30.6}\)
\(=\dfrac{40}{180}+\dfrac{-135}{180}+\dfrac{30}{180}\)
\(=\dfrac{40+\left(-135\right)+30}{180}\)
\(=\dfrac{-65}{180}\)
\(=\dfrac{-13}{36}\)
2)\(\dfrac{-7}{12}-\dfrac{11}{18}\)
\(=\dfrac{-7.3}{12.3}-\dfrac{11.2}{18.2}\)
\(=\dfrac{-21}{36}-\dfrac{22}{36}\)
\(=\dfrac{-21-22}{36}\)
\(=\dfrac{-43}{36}\)
3)\(\dfrac{7}{8}-\dfrac{-5}{16}\)
\(=\dfrac{7.2}{8.2}-\dfrac{-5}{16}\)
\(=\dfrac{14}{16}-\dfrac{-5}{16}\)
\(=\dfrac{14-\left(-5\right)}{16}\)
\(=\dfrac{19}{16}\)
4)\(\dfrac{3}{8}-\dfrac{-9}{10}-\dfrac{5}{16}\)
\(=\dfrac{3.10}{8.10}-\dfrac{-9.8}{10.8}-\dfrac{5.5}{16.5}\)
\(=\dfrac{30}{80}-\dfrac{-72}{80}-\dfrac{25}{80}\)
\(=\dfrac{30-\left(-72\right)-25}{80}\)
\(=\dfrac{77}{80}\)
cÂU 9.
\(I=\dfrac{\xi}{r+R_N}=\dfrac{20}{5+10}=\dfrac{4}{3}A\)
\(P_R=I^2_R\cdot R=\dfrac{4}{3}\cdot10=\dfrac{40}{3}W\)
\(P=\xi\cdot I=20\cdot\dfrac{4}{3}=\dfrac{80}{3}W\)
\(H=\dfrac{R}{r+R}=\dfrac{10}{5+10}=\dfrac{2}{3}\approx66,67\%\)
6. Egypt is believed to be the driest country in the world.
7. The Taj is said to have been built with blind people who couldn't see how beautiful it is.
8. He is alleged to have kicked a policeman.
9. The train was supposed to arrive at 11.30.
10. The two injured men are thought to have been repairing overhead cables.
\(8,\\ A=\left\{0;1;2;3\right\}\\ B=\left\{0;1;2\right\}\\ A\cap B=\left\{0;1;2\right\}\\ A\cup B=\left\{0;1;2;3\right\}\\ A\B=\left\{3\right\}\\ B\A=\varnothing\\ 9,\\ A=\left\{0;1;2;3;4\right\}\\ B=\left\{5;6\right\}\\ A\cap B=\varnothing\\ A\cup B=\left\{0;1;2;3;4;5;6\right\}\\ A\B=\left\{0;1;2;3;4\right\}\\ B\A=\left\{5;6\right\}\)
Câu 1.a)Công suất toả nhiệt trên điện trở: \(P=\dfrac{U^2}{R}=\dfrac{6^2}{15}=2,4W\)
b)Nhiệt lượng toả ra sau 1h là: \(Q=RI^2t=\dfrac{U^2}{R}\cdot t=\dfrac{6^2}{15}\cdot1\cdot3600=8640J\)
Câu 3.a)Công suất của nguồn: \(P=\xi\cdot I=5\cdot0,8=4W\)
b)Dùng acquy trên thắp sáng đèn trong thời gian là:
\(W=\xi It\Rightarrow t=\dfrac{W}{\xi\cdot I}=\dfrac{2,7\cdot10^6}{5\cdot0,8}=675000s=187,5h\)
Câu 4.a)Cường độ dòng điện mạch chính: \(I=\dfrac{\xi}{R+r}=\dfrac{12}{5+3}=1,5A\)
Hiệu điện thế mạch ngoài: \(U_N=I\cdot R=1,5\cdot5=7,5V\)
b)Công suất mạch ngoài: \(P=U\cdot I=7,5\cdot1,5=11,25W\)
Hiệu suất nguồn: \(H=\dfrac{U}{\xi}\cdot100\%=\dfrac{7,5}{12}\cdot100\%=62,5\%\)
Câu 10. CTM: \(\left(R_1//R_2\right)ntR_3\)
a)\(R_{12}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{2\cdot3}{2+3}=1,2\Omega\)
\(R_{tđ}=R_{12}+R_3=1,2+1,8=3\Omega\)
b)\(I_3=I=\dfrac{U}{R_{tđ}}=\dfrac{9}{3}=3A\)
\(U_1=U_2=U_{12}=U-U_3=9-3\cdot1,8=3,6V\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{3,6}{2}=1,8A\)
\(I_2=\dfrac{U_2}{R_2}=\dfrac{3,6}{3}=1,2A\)