a,Đổi: 3 lít nước = 3 kg nước

Nhiệt lượng cần thiết để đun sôi 3 lít nước:

Q=m.c.Δt= 3.4200.(100-22) = 982800 (J)
b, Nhiệt lượng bếp điện cần toả:

\(H=\dfrac{Ai}{Atp}.100\%\Rightarrow Atp=\dfrac{Ai.100\%}{H}=\dfrac{982800.100\%}{85\%}=1156235,3\) (J)

Thời gian đun sôi:

Q = P.t \(\Rightarrow\) t = \(\dfrac{Q}{P}=\dfrac{1156235,3}{1200}\approx\)963,5 giây\(\approx\)16 phút

c,Đổi: 1200W = 1,2kW

Số đếm công tơ điện của bếp điện nếu sử dụng 2h trong 365 ngày: 1,2.2.365= 876 (kWh)

Số tiền phải trả:1800. 876 =15768000(đồng)

Câu 10: B

B

a.

Với \(m=-1\) pt trở thành: \(x^2+4x-2=0\)

\(\Delta'=4+2=6>0\) nên pt có 2 nghiệm pb:

\(x_1=-2+\sqrt{6}\) ; \(x_2=-2-\sqrt{6}\)

b.

\(\Delta'=\left(m-1\right)^2-\left(m^2-3\right)=-2m+4\ge0\Rightarrow m\le2\)

Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=2\left(m-1\right)\\x_1x_2=m^2-3\end{matrix}\right.\)

\(x_1\left(x_1-x_2\right)+x_2^2=33\)

\(\Leftrightarrow x_1^2+x_2^2-x_1x_2=33\)

\(\Leftrightarrow\left(x_1+x_2\right)^2-3x_1x_2=33\)

\(\Leftrightarrow4\left(m-1\right)^2-3\left(m^2-3\right)=33\)

\(\Leftrightarrow m^2-8m-20=0\Rightarrow\left[{}\begin{matrix}m=10>2\left(loại\right)\\m=-2\end{matrix}\right.\)

a) \(\dfrac{A}{x-3}=\dfrac{y-x}{3-x}\left(Đk:x\ne3\right)\)

\(A=\dfrac{\left(x-3\right)\left(y-x\right)}{3-x}=x-y\)

b) \(\dfrac{5x}{x+1}=\dfrac{Ax\left(x-1\right)}{\left(1-x\right)\left(x+1\right)}\left(Đk:x\ne\pm1\right)\)

\(A=\dfrac{5x\left(1-x\right)\left(x+1\right)}{x\left(x-1\right)\left(x+1\right)}=-5\)

c) \(\dfrac{4x^2-5x+1}{A}=\dfrac{4x-1}{x+3}\left(Đk:x\ne-3;A\ne0\right)\)

\(A=\dfrac{\left(4x^2-5x+1\right)\left(x+3\right)}{4x-1}=\dfrac{\left(x-1\right)\left(4x-1\right)\left(x+3\right)}{4x-1}\)

    \(=\left(x-1\right)\left(x+3\right)=x^2+2x-3\)

1 Facsimile was invented by Alexander Bain

2 Ha Long Bay was recognized as one of the world's seven wonders

3 Can garbage be used to make compost?

4 Romeo and Juliet was written by Shakespeare in 1592 

5 Did the Wright brothers build the first plane in 1903?

6 Our factory doesn't produce this kine of paper

7 People have used ball point pens for many years

7 Whitcomb L.Judsin invented the zipper in 1893

Lời giải:
\(\frac{1}{110}+\frac{1}{132}+\frac{1}{156}+...+\frac{1}{342}+\frac{1}{380}=\frac{1}{10\times 11}+\frac{1}{11\times 12}+...+\frac{1}{19\times 20}\)

\(=\frac{11-10}{10\times 11}+\frac{12-11}{11\times 12}+...+\frac{20-19}{19\times 20}=\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}+...+\frac{1}{19}-\frac{1}{20}\)

\(=\frac{1}{10}-\frac{1}{20}=\frac{10}{200}=\frac{1}{20}\)

Đáp án A.

1 A

2 D

3 A

4 C

5 C

6 A

7 A

8 B

9 D

10 A

11 D

12 D

13 C