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make-r-the-subject-of-the-formula-y-pr-m-p-3-1-3-2-find-r-if-y-8-m-1-p-3-




Question Number 171437 by solomonwells last updated on 15/Jun/22
make r   the subject of the formula    y=(((pr)/m)  − (p^3 /1))^(−3/2)     find r if y=−8   ,  m=−1,  p=3
makerthesubjectoftheformulay=(prmp31)3/2findrify=8,m=1,p=3
Answered by alephzero last updated on 15/Jun/22
y = (((pr)/m)−p^3 )^(−3/2)   ⇒ y^(−2/3)  = ((pr)/m)−((mp^3 )/m)  ⇒ y^(−2/3)  = ((pr−mp^3 )/m)  ⇒my^(−2/3)  = pr−mp^3   ⇒ pr = my^(−2/3) +mp^3   ⇒ r = ((my^(−2/3) +mp^3 )/p)
y=(prmp3)3/2y2/3=prmmp3my2/3=prmp3mmy2/3=prmp3pr=my2/3+mp3r=my2/3+mp3p
Commented by alephzero last updated on 17/Jun/22
y = −8, m = −1, p = 3  ⇒ r = ((−(−8)^(−2/3) −3^3 )/3) =  = −(((((−8)^2 ))^(1/3) −27)/3) = −((((64))^(1/3) −27)/3) =  = −((4−27)/3) = ((27−4)/3) = ((23)/3) = 7(2/3)
y=8,m=1,p=3r=(8)2/3333==(8)23273=643273==4273=2743=233=723
Answered by elviselloin719A last updated on 18/Jun/22
Ans: 7.667
Ans:7.667

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