(1-1/2)x(1-1/3)x(1-1/4)x...x(1-1/100)
Ai nhanh nhất mình tick cho
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các bạn giải ra từng bước giúp mình, mình đang cần gấp
a) 3/7 + 4/9 + 4/7 + 5/9
= ( 3/7 + 4/7 ) + ( 4/9 + 5/9 )
= 7/7 + 9/9
= 1 + 1
= 2
b)1/5 + 4/10 + 9/15 + 16/20 + 25/25 + 36/30 + 49/35 + 64/40 + 81/45
= 1/5 + 2/5 + 3/5 + 4/5 + 5/5 + 6/5 + 7/5 + 8/5 + 9/5
= ( 1/5 + 9/5 ) + ( 2/5 + 8/5 ) + (7/5 + 3/5 ) + ( 4/5 + 6/5 ) + 5/5
= 2 + 2 + 2 + 2 + 1
= 2 x 4 + 1
= 8 +1
= 9
c) 1/8 + 1/12 + 3/8 + 5/12
= ( 1/8 + 3/8 ) + ( 1/12 + 5/12)
= 4/8 + 6/12
= 1/2 + 1/2
= 2/4 = 1/2
mỏi tay rồi
d; (1 - \(\dfrac{1}{2}\)) x (1 - \(\dfrac{1}{3}\)) x (1 - \(\dfrac{1}{4}\)) x ... x ( 1 - \(\dfrac{1}{100}\))
= \(\dfrac{1}{2}\) x \(\dfrac{2}{3}\) x \(\dfrac{3}{4}\) x \(\dfrac{3}{4}\) x ... x \(\dfrac{99}{100}\)
= \(\dfrac{1}{100}\)
=> 5 chia het cho x+1
=> x+1 E U(5) ={-1;1;5;-5}
=> xE { -2;0;4;-6}
Do (x+1)(y+2)=5
=> 5 cung chia het cho y+2
=> y+2 E U(5)={-1;1;5;-5}
=> y E{ -3;-1;3;-7}
\(\Rightarrow\frac{x+1+y+2+z+3}{3+4+5}\)
\(\Rightarrow\frac{24}{12}=2\)
\(\frac{x+1}{3}=2\Rightarrow x=5\)
\(\frac{y+2}{4}=2\Rightarrow y=6\)
\(\frac{z+3}{5}=2\Rightarrow z=7\)
(2xX+14)+260=160:10+260
(2xX+14)+260=276
2xX+14=276-260
2xX+14=16
2xX=16-14
2xX=2
x=2:2=1
nếu đúng thì ks cho mình nha
( 2 x X + 14 ) + 65 x 4 = ( 20 + 140 ) : 10 + 260
( 2 x X + 14 ) + 260 = 276
2 x X + 14 = 276 - 260
2 x X + 14 = 16
2 x X = 16 - 14
2 x X = 2
X = 2 : 2
X = 1
(1-1/2) x (1-1/3) x .... x (1-1/100)
= 1/2 x 2/3 x ... x 99/100
= 1x2x...x99/2x3x..x100
= 1/ 100
a, \(\frac{3}{5}+25-\frac{1}{5}\)
\(=\left(\frac{3}{5}-\frac{1}{5}\right)+25\)
\(=\frac{2}{5}+25\)
\(=25\frac{2}{5}\)
\(=25,4\)
b, \(13.3.32,27+67,63.39\)
\(=39.32,27+67,63.39\)
\(=39\left(32,37+67,63\right)\)
\(=39.100\)
\(=3900\)
c, \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)....\left(1-\frac{1}{100}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}......\frac{99}{100}\)
\(=\frac{1}{100}\)
Ta có 1-1/2 =1/2
1-1/3=2/3
1-1/4=3/4
.......
1- 1/100=99/100
=> P= 1/2x2/3x3/4x....x99/100
= ( 1x2x3x...x 99)/ (2x3x4x...x100)
=1/1000
Nguyen thi lan huong sai roi phai bang1/100 moi dung