C=5/12.17+3/34.10+7/60.9+8/27.35
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, (-123) -|-13| +(-7)
= (-123) -13+(-7)
= -136 + (-7)
= -143
b, 35- (4.52 - 5.23) + 2019
= 35- (4. 25 - 5.8) + 2019
= 35- ( 100 - 40) + 2019
= 35 - 60 +2019
= -25 + 2019
= 1994
c, 75+ (-20) +(-30)
= 55 + (-30)
= 25
d, 135. 27- 27.35 +150
= 27.(135 - 35) +150
= 27. 100+ 150
= 2700 + 150
= 2850
e, (8-5)3 + 77 : 75 + 2019
= 33 +( 77 : 75 ) + 2019
= 33 +72 + 2019
= 27 + 49 + 2019
= 76 + 2019
= 2095
g, 737737. 255 - 255255. 737
= 737. 1001. 255 - 255. 1001. 737
=[( 737. 255) - (255. 737)] .1001
= 0. 1001
= 0
h, 45-|-15| : 3
= 45 - 15 : 3
= 45 - 5
= 40
f, 160 : {|-17| + [32 . 5-(14+ 211 : 28)]}
= 160 : { 17 +[ 9 . 5- (14 + 23)]}
= 160 : { 17 +[ 9 . 5- (14 + 8)]}
= 160 : [17 +( 9 . 5- 22)]
= 160 : [17 +( 45- 22)]
= 160 : ( 17 + 23)
= 160 : 40
= 4
![](https://rs.olm.vn/images/avt/0.png?1311)
đề sai thì phải
\(A=\frac{10}{2\cdot12}+\frac{2}{3\cdot5}+\frac{3}{5\cdot8}+\frac{1}{2\cdot3}+\frac{5}{12\cdot17}+\frac{6}{17\cdot23}+\frac{7}{23\cdot30}\)
\(A=\frac{1}{2}-\frac{1}{12}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{2}-\frac{1}{3}+\frac{1}{12}-\frac{1}{17}+\frac{1}{17}-\frac{1}{23}+\frac{1}{23}-\frac{1}{30}\)
\(A=\frac{1}{2}+\frac{1}{2}-\frac{1}{8}-\frac{1}{30}\)
\(A=\frac{101}{120}\)
\(A=\frac{1}{2.12}+\frac{2}{3.5}+\frac{3}{5.8}+...+\frac{7}{23.30}\)
\(=\frac{1}{2}-\frac{1}{12}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...-\frac{1}{23}+\frac{1}{23}-\frac{1}{30}\)
\(=\frac{1}{2}+\frac{1}{2}-\frac{1}{8}-\frac{1}{30}=1-\frac{19}{120}=\frac{101}{120}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{4}C=\frac{9}{16\cdot25}+\frac{3}{25\cdot28}+\frac{6}{28\cdot34}+\frac{6}{34\cdot40}\)
\(\frac{1}{4}C=\frac{1}{16}-\frac{1}{25}+\frac{1}{25}-\frac{1}{28}+\frac{1}{28}-\frac{1}{34}+\frac{1}{34}-\frac{1}{40}\)
\(\frac{1}{4}C=\frac{1}{16}-\frac{1}{40}\)
\(C=\frac{3}{20}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tìm x
a,\(\frac{5}{4}x=\frac{2}{3}-1,5=\frac{2}{3}-\frac{3}{2}=\frac{4}{6}-\frac{9}{6}=\frac{-5}{6}\)
\(x=\frac{-5}{6}:\frac{5}{4}=\frac{-5}{6}.\frac{4}{5}=\frac{5.\left(-1\right).2.2}{2.3.5}=\frac{-2}{3}\)
b, \(\frac{2}{7}x-\frac{3}{2}x=\frac{-21}{4}.\frac{2}{7}=\frac{-3}{2}\)
\(x.\left(\frac{2}{7}-\frac{3}{2}\right)=\frac{-3}{2}\)
\(x.\frac{-17}{14}=\frac{-3}{2}\)
\(x=\frac{-3}{2}:\frac{-17}{14}=\frac{-3}{2}.\frac{14}{-17}=\frac{21}{17}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Chỉ cần để các thừa số ra ngoài rồi nhân các số mà bằng khoảng cách của mẫu lên tử là giải được
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm
12.65 x X+X x 27.35=9
780 x X+X x 945 = 9
( 780+945 ) x X = 9
1725 x X = 9
X = 9:1725
X = \(\frac{9}{1725}\)
X = \(\frac{3}{575}\)
Vậy X = \(\frac{3}{575}\)
# Chúc bạn học tốt #
Xx(12,65+27,35)=9
Xx 40 =9
=>X=9:40
X=0,225
Còn câu kia thì mình chịu,sorry nhé
Học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
A=3.4.\(\frac{1}{10^8}\)=\(\frac{12}{10^8}\)
B=34.\(\frac{1}{10^9}\)=\(\frac{34}{10^9}\)
Ta có: A=k.B\(\Rightarrow\)\(\frac{12}{10^8}=k.\frac{34}{10^9}\)=>k=\(\frac{12}{10^8}:\frac{34}{10^9}\)=\(\frac{12}{10^8}.\frac{10^9}{34}\)=\(\frac{60}{17}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa:
\(B=\frac{5}{2.7}+\frac{5}{7.12}+\frac{5}{12.17}+\frac{5}{17.22}+\frac{5}{22.27}\)
Trả lời
\(B=\frac{5}{2.7}+\frac{5}{7.12}+\frac{5}{12\cdot17}+\frac{5}{17\cdot22}+\frac{5}{22\cdot27}\)
\(\Rightarrow B=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+\frac{1}{12}-\frac{1}{17}+\frac{1}{17}-\frac{1}{22}+\frac{1}{22}-\frac{1}{27}\)
\(\Rightarrow B=\frac{1}{2}-\frac{1}{27}\)
\(\Rightarrow B=\frac{25}{54}\)
Vậy B=\(\frac{25}{54}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
96. Tần số góc:
\(\omega=\dfrac{2\pi}{T}=\dfrac{2\pi}{\pi}=2\left(rad/s\right)\)
Cơ năng của con lắc:
\(E=\dfrac{1}{2}m\omega^2A^2=\dfrac{1}{2}\cdot0,2\cdot2^2\cdot0,04^2=6,4\cdot10^{-4}J=64\cdot10^{-5}J\)
`=>A`
97. Cơ năng của con lắc:
\(E=\dfrac{1}{2}kA^2=\dfrac{1}{2}\cdot100\cdot0,04^2=0,08J\)
Động năng của con lắc tại `x=2cm`
\(E_đ=E-E_t=0,08-\dfrac{1}{2}\cdot100\cdot0,02^2=0,08-0,02=0,06J\)
`=>D`
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(A=3,4\cdot10^{-8}\)
\(=3,4\cdot10\cdot10^{-9}\)
\(=34\cdot10^{-9}\)
=B
Vậy: A=B
`Answer:`
\(C=\frac{5}{12.17}+\frac{3}{34.10}+\frac{7}{60.9}+\frac{8}{27.35}\)
\(=\frac{5}{12.17}+\frac{3}{17.2.2.5}+\frac{7}{20.3.9}+\frac{8}{27.35}\)
\(=\frac{5}{12.17}+\frac{3}{17.20}+\frac{7}{20.27}+\frac{8}{27.25}\)
\(=\frac{1}{12}-\frac{1}{17}+\frac{1}{17}-\frac{1}{20}+\frac{1}{20}-\frac{1}{27}+\frac{1}{27}-\frac{1}{35}\)
\(=\frac{1}{12}-\frac{1}{35}\)
\(=\frac{23}{420}\)