Question

Solve for t.
(100-t)^-4
I know it is simple but I completely blanked out on how to solve these. Dx

Answer 1

I'm not sure what you mean by solve since then isn't an equation.

Answer 2

You can solve equations.
But there is no equation is what I'm saying.

Answer 3

sorry typo!!

Answer 4

I will it from the start since it deals with "weird" decimals. It should read:
.1=.4-(3.9x10^-7)(100-t)^-5
**just realized I wrote -4 instead of -5...its been one of those days

Answer 5

\[0.1=0.4-(3.9 \cdot 10^{-7})(100-t)^{-5}\]

Answer 6

first thing i would do is subtract 0.4 on both sides

Answer 7

yes! and we gotta solve for t

Answer 8

\[0.1-0.4=-(3.9 \cdot 10^{-7})(100-t)^{-5}\]

Answer 9

After finding the difference of 0.1 and 0.4
I would then divide both sides by -(3.9*10^(-7))

Answer 10

do that for me and let me know what you have

Answer 11

**769230.77=(100-t)^-5

Answer 12

ok

Answer 13

\[0.1-0.4=-0.3\\-\frac{-0.3}{3.9 \cdot 10^{-7}}=\frac{3}{39} 10^{7}=\frac{1}{13}10^7 \\ \frac{13}{10^{7}}=(100-t)^5\]

Answer 14

so raise both sides to the 1/5th power

Answer 15

this is so we cancel that exponent 5 thing

Answer 16

okay got that
but how do we get rid of that 5 exponent?

Answer 17

1/5*5=1

Answer 18

oh!

Answer 19

\[(\frac{13}{10^{7}})^\frac{1}{5}=(100-t)^{5\cdot \frac{1}{5}}\]

Answer 20

so t=99.934?

Answer 21

looks good
\[t=100-(\frac{13}{10^7})^\frac{1}{5}\]

Answer 22

what an ugly answer

Answer 23

right?
its for a mixing problem so it makes sense lol

Answer 24

i guess there are no pretty answers in the real world

Answer 25

you answer like all of my questions. I am so grateful!! lol

Answer 26

its np

Answer 27

are you a mathematician or a prof???

Answer 28

i have taught a little