tui ko thấy dấu đấy:v

Tóm tắt

`m_1=0,5kg`

`c_1=380J//kg.K`

`t_1=80^o C`

`t_2=15^oC`

`c_2=4200J//kg.K`

`t=20^oC`

`m_2=???kg`

Giải

Nhiệt lượng của miếng đồng tỏa ra là

`Q_1=m_1 c_1 (t_1 -t)=0,5*380*(80-20)=11400(J)`

Nhiệt lượng của nước thu vào là

`Q_2=m_2 c_2 (t-t_2 )=m_2 * 4200(20-15)=21000m_2 (J)`

Áp dụng phương trinh cân bằng nhiệt

`Q_1=Q_2

`<=>11400=21000m_2`

`<=>m_2=0,542(kg)`

`2x*(-x)=-2x^2`

`(4-2/7xx3):1/3`

`=(4-6/7)xx3`

`=(28/7-6/7)xx3`

`=22/7xx3`

`=66/7`

\(\left(\dfrac{\sqrt{x}}{\sqrt{x}-3}-\dfrac{2\sqrt{x}+6}{x-9}\right):\dfrac{x-2\sqrt{x}}{\sqrt{x}-3}\left(x>3;x\ne9\right)\)

\(=\left(\dfrac{\sqrt{x}}{\sqrt{x}-3}-\dfrac{2\sqrt{x}+6}{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}\right):\dfrac{\sqrt{x}-3}{x-2\sqrt{x}}\)

\(=\left(\dfrac{\sqrt{x}\left(\sqrt{x}+3\right)}{\left(\sqrt{x}-3\right)\left( \sqrt{x}+3\right)}-\dfrac{2\sqrt{x}+6}{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}\right)\cdot\dfrac{x-2\sqrt{x}}{\sqrt{x}-3}\)

\(=\dfrac{x+3\sqrt{x}-2\sqrt{x}-6}{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}\cdot\dfrac{\sqrt{x}-3}{x-2\sqrt{x}}\)

\(=\dfrac{\sqrt{x}\left(\sqrt{x}+3\right)-2\left(\sqrt{x}+3\right)}{\sqrt{x}+3}\cdot\dfrac{1}{x-2\sqrt{x}}\)

\(=\dfrac{\left(\sqrt{x}-2\right)\left(\sqrt{x}+3\right)}{\sqrt{x}+3}\cdot\dfrac{1}{\sqrt{x}\left(\sqrt{x}-2\right)}\)

\(=\dfrac{1}{\sqrt{x}}\)

`3/2+3/6+3/12+...+3/(99*100)`

`=3(1/(1*2)+1/(2*3)+1/(3*4)+...+1/(99*100))`

`=3(1/1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100)`

`=3(1/1-1/100)`

`=3(100/100-1/100)`

`=3*99/100`

`=297/100`

`7,48+7,48xx2+7,48xx7`

`=7,48xx(1+2+7)`

`=7,48xx10`

`=74,8`

chiều cao số âm=))