PLEASE HELP Air pressure decreases exponentially with increases in elevation. The air pressure, . (in atm units) at a given elevation, X, (in meters) can be modeled using equation where is the decay constant
At an elevation of 5486 m where the air pressure is 0.5 atm, what is the value of k?
In( 5486)
0.5
OB (0.5)
5486
Ock-In ( 56
OD & - - In
& # - In ( 90 s)

The value of k is 2

Step-by-step explanation:

The polynomial remainder theorem

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

The function:

has a factor of (x+6).

Applying the polynomial remainder theorem for r=-6, substitute x=-6

Operating:

If x+6 is a factor, then the remainder is zero:

36 -18k=0

Subtracting 36:

-18k=-36

k=-36 / (-18)=2

k=2

The value of k is 2