Question

Despejar c
$f = \frac{9c}{5} + 2ae$
Despejar c, r, t
$i = \frac{c \times r \times t}{100}$
Despejar t2
$\frac{ {p}^{1} }{ {p}^{2} } = \frac{ {t}^{1} }{t {}^{2} }$
Despejar Vf, Vo, a, e
${v}^{2}f = {vo }^{2} + 2ae$
Despejar n, p
$v = \frac{n \times r \times 7}{100}$
Ayúdenme plox :'v

Answer 1

Respuesta:

1.-

$\mathsf{c=\frac{5f-10ae}{9}}$

2.-

$\mathsf{c=\frac{100i}{rt}}\\\\\mathsf{r=\frac{100i}{ct}}\\\\\mathsf{t=\frac{100i}{cr}}$

3.-

$\mathsf{t=\sqrt{pt}}$

4.-

$\mathsf{v_{f}^{2}=v_{o}^{2}+2ae}\\\\\mathsf{v_{f}=\sqrt{v_{o}^{2}+2ae}}\\\\\mathsf{v_{o}^{2}=v_{f}^{2}-2ae}\\\\\mathsf{v_{o}=\sqrt{v_{f}^{2}-2ae}}\\\\\mathsf{2ae=v_{f}^{2}-v_{o}^{2}}\\\\\mathsf{a=\frac{v_{f}^{2}-v_{o}^{2}}{2e}}\\\\\mathsf{e=\frac{v_{f}^{2}-v_{o}^{2}}{2a}}$

Explicación paso a paso:

1.- Despejando c:

$\mathsf{f=\frac{9}{5}c+2ae}\\\\\mathsf{f=\frac{9c+10ae}{5}}\\\\\mathsf{5f=9c+10ae}\\\\\mathsf{9c=5f-10ae}\\\\\mathsf{c=\frac{5f-10ae}{9}}$

2.- Despejando c,r,t

$\mathsf{i=\frac{crt}{100}}\\\\\mathsf{100i=crt}\\\\\mathsf{c=\frac{100i}{rt}}\\\\\mathsf{r=\frac{100i}{ct}}\\\\\mathsf{t=\frac{100i}{cr}}$

Despejando t²

$\frac{p}{p^{2}}=\frac{t}{t^{2}}\\\\t^{2}p=p^{2}t\\\\t^{2}=\frac{p^{2}t}{p}=pt\\\\t=\sqrt{pt}$

Despejando Vo,Vf,a y e

$v_{f}^{2}=v_{o}^{2}+2ae\\\\v_{f}=\sqrt{v_{o}^{2}+2ae}\\\\v_{o}^{2}=v_{f}^{2}-2ae\\\\v_{o}=\sqrt{v_{f}^{2}-2ae}\\\\2ae=v_{f}^{2}-v_{o}^{2}\\\\a=\frac{v_{f}^{2}-v_{o}^{2}}{2e}\\\\e=\frac{v_{f}^{2}-v_{o}^{2}}{2a}$

Saludos.