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Mathematics 16 Online
OpenStudy (brinazarski):

6=14.7e^-0.0000385h

OpenStudy (brinazarski):

How do you solve this? :(

OpenStudy (anonymous):

is the h a unit of measurement?

OpenStudy (brinazarski):

Yup

OpenStudy (brinazarski):

The air pressure p(h) (in lb/in2) at an altitude of h feet above sea level may be approximated by the following formula. At approximately what altitude h is the air pressure 6 lb/in2? (Round to the nearest foot.)

OpenStudy (anonymous):

ok, take divide both sides by 14.7 and take the natural log (ln) of both sides to get h= #

OpenStudy (brinazarski):

wait... so ln(6/14.7)=-0.0000385h?

OpenStudy (anonymous):

yes

OpenStudy (brinazarski):

But then you run into the same problem... e^x = 6/14.7

OpenStudy (brinazarski):

Until you solve for x, you can't solve for h

OpenStudy (jdoe0001):

\(\bf \large 6=14.7e^{-0.0000385h} \quad ?\)

OpenStudy (brinazarski):

mhmm

OpenStudy (anonymous):

try getting a number for ln(6/14.7) [my calc says -0.896088024556635] and then divide by -0.0000385

OpenStudy (brinazarski):

Oh...

OpenStudy (anonymous):

FYI h is not a unit of measurement, it is the variable

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