CPhill

5.3^2.5  =  about 64.668

x^2 - 12x + 36     this is a perfect square trinomial.....it factors as

(x - 6) (x - 6)   =

(x - 6)^2

Think about this........84 cups / 4cups = 21 times as many

So.......we should be able to make 21 times as many loaves with 84 cups as with 4 cups.......so

21 * 6    = 126 loaves  can be made

Area = 2 * s² * ( 1 + √2)  where s is the side length  =

2 * 18² * ( 1 + √2)  = about  1564.41 units^2

-x/3+x/4-x/6=1/10       multiply through by the common denominator of 3,4,6 and 10, i.e., 60

-20x  + 15x - 10x  =  6      combine like terms

-15x   = 6          divide both sides by -15

x = 6 / -15     =     -2 / 5

Note, 9/2 in   = 4.5 in

V_cylinder   = pi * r^2 * h   =   pi * (3)^2 * 4.5  = about 127.23 in^3

I'm assuming this is

2x - 8           3x

-------      =   ----                       cross-multiply

  4                 5

5(2x - 8)  = 4 * (3x)       simplify

10x - 40   = 12x          subtract 10x from both sides

-40   = 2x      divide both sides by 2

-20   = x

We can find the common ratio, thusly

18* r^2   = 8    rearrange as

r^2  = 8/18

r^2  = 4/9      take the positive root of both sides

r = 2/3

So.........the length of the second arc  = 18 (2/3)   = 12 ft

It is not geometric......for it to be geometric, the ratio between successive terms must be equal

So .......

Ratio of second term to the first term  = -4 / 2      = -2

But

Ratio of the third term to the second term  = -16/-4 =  4

5^-6  = 1/5⁶   = 1/5³ * 1/5³  = 1/125 * 1/125  = 1/15625   or   0.000064  as mathismeh said