A supervising physician tasks you with preparing a 0.3mg dose of epinephrine for a 32-year old male patient experiencing symptoms of anaphylaxis moments after receiving an intradermal allergy injection. Epinephrine is available as a 1:1000 solution in a 30ml vial containing 1mg/ml. calculate the correct dose to be administered to your patient.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

-3.5 is the distance.

i've had this question so choose the one in the absolute value sign.

the graph is negative for all real values of x where   -6 < x < -2.

step-by-step explanation:

this refers to the values of f(x) in the area below the x-axis.