CPhill

Ellipse...the coefficients on x^2 and y^2 are positive,  but are not the same....[if they were the same, we would have a circle ]

Here's the graph.......https://www.desmos.com/calculator/bkj1havuoq

Aw.....it was nothing......(really  !!!  )

Nice answer, BJ.....

The conversion "formula" that she used is

F = 1.8C + 32

4 is correct

But  (-4)*(-4)*(-4)  = -64   .......no good....!!!

Check out the big brain on BJ  !!!

She is correct...it IS betwen 9 and 10 years

Let's see if we can narrow it down a little more.....

500 = 15000(.7)^t      where t is the time to depreciate to $500      ....divide both sides by 15000

1/30  = .7^t       take the log of both sides

log (1/30)  = log.7 ^t      and we can write

log(1/30) = t *  log .7     divide both sides by log.7  and we have

log(1/30) / log. 7  = t = about 9.5 years......

The circumference of the combined circles = 2pi [9 + 4 ] =  26pi cm

So

26 pi  cm = 2 pi r     divide by pi on both sides

26 cm = 2r = diameter of larger circle

By "transform," I assume you mean "expand"  or "simplify"

1. log(3x4) = log 3 + log 4

2. log_4 3=  Tyler,  I'm unsure of what this is .....  I think it's supposed to be  log₄ 3  ...if so...this equals

log3 / log4

3. log3^4=   4 log3

4. log 3/4=  log3  - log 4