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1 Kai is tired because he stayed up late watching TV
2 Since I have a broken leg, I fell over while I was playing basketball
3 Sehun is going to be late for school as the bus is late
4 Because Lisa was careless, she broke the cup
5 Rose wants to go home since she feels sick
6 Jimin is hungry as he hasn't eaten all day
7 Since plastic bags are very hard to dissolve, they will cause pollution
8 People reuse and recycle bottles and cans as they want to reduce garbage
9 The sea is becoming increasingly polluted since people drop garbage into the sea
10 We shouldn't throw trash onto the water as polluted water can directly do harm to people's health and kill fish
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Bài 33:
a: \(x^2-3x+2=\left(x-2\right)\left(x-1\right)\)
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bài 1:
\(\left\{{}\begin{matrix}x+y=57\\4x-2y=6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}4x+4y=228\\4x-2y=6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}6y=234\\x+y=57\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=39\\x=18\end{matrix}\right.\)
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Câu 2.
Nhiệt lượng bếp tỏa ra trong thời gian \(t=3min=180s\) là:
\(Q=UIt=RI^2t=60\cdot2,5^2\cdot180=675000J\)
Câu 3.
\(I_{Đ1}=\dfrac{U_{Đ1}}{R_{Đ1}}=\dfrac{6}{6}=1A\)
\(I_{Đ2}=\dfrac{U_{Đ2}}{R_{Đ2}}=\dfrac{1,5}{8}=\dfrac{3}{16}A\)
\(I_b=I_{Đ1}-I_{Đ2}=1-\dfrac{3}{16}=\dfrac{13}{16}A\)
\(R_b=\dfrac{U_b}{I_b}=\dfrac{1,5}{\dfrac{13}{16}}=\dfrac{24}{13}\Omega\)
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h: \(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{9\cdot10}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{9}-\dfrac{1}{10}\)
\(=1-\dfrac{1}{10}=\dfrac{9}{10}\)
m: \(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\)
\(=\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}\)
\(=\dfrac{1}{2}-\dfrac{1}{8}=\dfrac{3}{8}\)
Câu 6: Câu nói của Nhím đối với Thỏ "Thế thì gay go đấy! Trời rét, không có áo khoác thì chịu sao được" thể hiện thái độ cảm thông, xót xa của Nhím trước tình cảnh thiếu thốn của Thỏ. Qua đó chúng ta có thể thấy Nhím là người giàu lòng nhân ái, yêu thương với những hoàn cảnh khó khăn