What is the value of AAA when we rewrite \left(\dfrac{2}{3}\right)^{x+4}-\le ft(\dfrac{2}{3}\right)^{x}( 3 2 ) x+4 −( 3 2 ) x left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, plus, 4, end superscript, minus, left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, end superscript as A\cdot \left(\dfrac{2}{3}\right)^{x}A⋅( 3 2 ) x A, dot, left parenthesis, start fraction, 2, divided by, 3, end fraction, right parenthesis, start superscript, x, end superscript ?

the answer is $42.96

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

b. 18

step-by-step explanation:

so the equation for this is:

ab^2=ac⋅ad

ab being the top length of 6 and ac being the length of 2 and ad being the length of x. let's plug into the equation:

6^2 = 2x

now lets just solve for x:

36 = 2x

18 = x

i hope that !