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\(=\dfrac{1}{2}\left(\dfrac{2}{15}+\dfrac{2}{35}+\dfrac{2}{63}+\dfrac{2}{99}+\dfrac{2}{143}\right)\)
\(=\dfrac{1}{2}\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{13}\right)\)
\(=\dfrac{1}{2}\cdot\dfrac{10}{39}=\dfrac{5}{39}\)
\(\dfrac{-1}{9}.\dfrac{-3}{5}+\dfrac{5}{-6}.\dfrac{-3}{5}-\dfrac{7}{2}.\dfrac{3}{5}\\=\dfrac{1}{9}.\dfrac{3}{5}+\dfrac{5}{6}.\dfrac{3}{5}-\dfrac{7}{2}.\dfrac{3}{5}\\ =\dfrac{3}{5}\left(\dfrac{1}{9}+\dfrac{5}{6}-\dfrac{7}{2}\right)\\ =\dfrac{3}{5}.\dfrac{-23}{9}\\ =-\dfrac{23}{15}\)
\(=\dfrac{3}{7}\left(\dfrac{15}{13}-1-1\right)=\dfrac{3}{7}\cdot\dfrac{-11}{13}=-\dfrac{33}{91}\)
\(\Leftrightarrow\left(-240\right):x=80\\ \Leftrightarrow x=-3\)
\(\dfrac{1}{5}:x=\dfrac{7}{35}+\dfrac{5}{35}\)
\(\dfrac{1}{5}:x=\dfrac{12}{35}\)
\(x=\dfrac{1}{5}:\dfrac{12}{35}\)
\(x=\dfrac{1}{5}\times\dfrac{35}{12}\)
\(x=\dfrac{7}{12}\)
\(\Rightarrow2^{x+3}.2^4=2^6\\ \Rightarrow2^{x+3}=2^2\\ \Rightarrow x+3=2\\ \Rightarrow x=-1\)
2x+3. 42 = 64
2x+3 . 24 = 26
=> 2x+3 = 22
x + 3 = 2
x = 2 - 3 = -1
\(c,135.3^2-3^2.130\\ =3^2\left(135-130\right)\\ =9.5=45\)