1.111.... so just right 1.2
Answer:
Step-by-step explanation:
You subtract 310 from 25 and get 285 then you multiply 285 x 21 and I believe that should solve this equation.
A= 16777216
B= 279936
C= 32768
D= 49
Hey there!
Write a proportion. 8/5=32/x. Cross multiply. You get 8x=160. You have to isolate x, so divide each side by 8. X=20. Since x is by itself, you have your answer. The answer is B. Another way to do this is to see how much it takes to get from 8 to 32. You would multiply by 4. So multiply 5 by 4 to get 20.
I hope this helps!
Answer:
,
, ![\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B2%5Ccdot%20t%7D%7B4%5Ccdot%20r%5E%7B2%7D-t%5E%7B2%7D%2B5%5Ccdot%20s%5E%7B2%7D%7D)
Step-by-step explanation:
We proceed to derive each expression by rule of chain. Let be
,
,
and
:
![\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr} }{x+2\cdot y + 3\cdot z}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bdr%7D%20%3D%20%5Cfrac%7B%5Cfrac%7Bdx%7D%7Bdr%7D%2B2%5Ccdot%20%5Cfrac%7Bdy%7D%7Bdr%7D%20%2B3%5Ccdot%20%5Cfrac%7Bdz%7D%7Bdr%7D%20%20%7D%7Bx%2B2%5Ccdot%20y%20%2B%203%5Ccdot%20z%7D)
![\frac{dx}{dr} = 2\cdot r](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdr%7D%20%3D%202%5Ccdot%20r)
![\frac{dy}{dr} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdr%7D%20%3D%200)
![\frac{dz}{dr} = 2\cdot r](https://tex.z-dn.net/?f=%5Cfrac%7Bdz%7D%7Bdr%7D%20%3D%202%5Ccdot%20r)
![\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bdr%7D%20%3D%20%5Cfrac%7B8%5Ccdot%20r%7D%7B%28r%5E%7B2%7D%2Bt%5E%7B2%7D%29%2B2%5Ccdot%20%28s%5E%7B2%7D-t%5E%7B2%7D%29%2B3%5Ccdot%20%28r%5E%7B2%7D%2Bs%5E%7B2%7D%29%7D)
(1)
![\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds} }{x+2\cdot y + 3\cdot z}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bds%7D%20%3D%20%5Cfrac%7B%5Cfrac%7Bdx%7D%7Bds%7D%2B2%5Ccdot%20%5Cfrac%7Bdy%7D%7Bds%7D%20%2B3%5Ccdot%20%5Cfrac%7Bdz%7D%7Bds%7D%20%20%7D%7Bx%2B2%5Ccdot%20y%20%2B%203%5Ccdot%20z%7D)
![\frac{dx}{ds} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bds%7D%20%3D%200)
![\frac{dy}{ds} = 2\cdot s](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bds%7D%20%3D%202%5Ccdot%20s)
![\frac{dz}{ds} = 2\cdot s](https://tex.z-dn.net/?f=%5Cfrac%7Bdz%7D%7Bds%7D%20%3D%202%5Ccdot%20s)
![\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bds%7D%20%3D%20%5Cfrac%7B10%5Ccdot%20s%7D%7B%28r%5E%7B2%7D%2Bt%5E%7B2%7D%29%2B2%5Ccdot%20%28s%5E%7B2%7D-t%5E%7B2%7D%29%2B3%5Ccdot%20%28r%5E%7B2%7D%2Bs%5E%7B2%7D%29%7D)
(2)
![\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt} }{x+2\cdot y + 3\cdot z}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%5Cfrac%7Bdx%7D%7Bdt%7D%2B2%5Ccdot%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%2B3%5Ccdot%20%5Cfrac%7Bdz%7D%7Bdt%7D%20%20%7D%7Bx%2B2%5Ccdot%20y%20%2B%203%5Ccdot%20z%7D)
![\frac{dx}{dt} = 2\cdot t](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%202%5Ccdot%20t)
![\frac{dy}{dt} = -2\cdot t](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D%20-2%5Ccdot%20t)
![\frac{dz}{dt} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdz%7D%7Bdt%7D%20%3D%200)
![\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B2%5Ccdot%20t%7D%7B%28r%5E%7B2%7D%2Bt%5E%7B2%7D%29%2B2%5Ccdot%20%28s%5E%7B2%7D-t%5E%7B2%7D%29%2B3%5Ccdot%20%28r%5E%7B2%7D%2Bs%5E%7B2%7D%29%7D)
(3)