We are given:
\(\displaystyle{t}={t}{0}+{\left({\frac{{{k}}}{{{2}}}}\right)}{w}\)
Subtract t0 from both sides:
\(\displaystyle{t}-{t}{0}={t}{0}+{\left({\frac{{{k}}}{{{2}}}}\right)}{w}-{t}{0}\)
\(\displaystyle{t}-{t}{0}={\left({\frac{{{k}}}{{{2}}}}\right)}{w}\)
Multiply both sides by \(\frac{2}{k}\)
\(\displaystyle{\left({t}-{t}{0}\right)}{\frac{{{2}}}{{{k}}}}={\left({\frac{{{k}}}{{{2}}}}\right)}{w}\cdot{\left({\frac{{{2}}}{{{k}}}}\right)}\)
\(\displaystyle{\frac{{{2}{\left({t}-{t}{0}\right)}}}{{{k}}}}={w}\)
\(\displaystyle{w}={2}\frac{{{t}-{t}{0}}}{{k}}\)
Question
t=t0+(frac{k}{2})w, for w
Answers (1)
2021-02-26
Relevant Questions
asked 2021-05-26
Solve for w:
\(\displaystyle{t}={t}_{{0}}+{\frac{{{k}}}{{{2}}}}{w}\)
\(\displaystyle{t}={t}_{{0}}+{\frac{{{k}}}{{{2}}}}{w}\)
asked 2021-08-09
Solve:
\(\displaystyle{\frac{{{3}{k}}}{{{2}}}}+{\frac{{{9}{k}-{5}}}{{{6}}}}={\frac{{{11}{k}+{8}}}{{{k}}}}\)
\(\displaystyle{\frac{{{3}{k}}}{{{2}}}}+{\frac{{{9}{k}-{5}}}{{{6}}}}={\frac{{{11}{k}+{8}}}{{{k}}}}\)
asked 2021-08-13
How do I solve this equation?
\(\displaystyle\frac{{2}}{{{2}{w}-{3}}}=\frac{{{w}-{2}}}{{{3}{w}-{7}}}\)
asked 2021-05-16
How do I solve this equation?
\(\displaystyle\frac{{2}}{{{2}{w}-{3}}}=\frac{{{w}-{2}}}{{{3}{w}-{7}}}\)
