Answer:
19.44 hours, about 19 hours 26 minutes
Step-by-step explanation:
The exponential equation that describes your caffeine level can be written as ...
c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg
We want to find t for c(t) = 10, so ...
10 = 120(0.88^t)
10/120 = 0.88^t . . . . . . . divide by 120
log(1/12) = t·log(0.88) . . . take logarithms
t = log(1/12)/log(0.88) ≈ 19.4386
It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.
Answer:
6748'
Step-by-step explanation:
The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.
a^2 = b^2 +c^2 -2bc·cos(A)
a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)
a^2 = 45,535,553.83
a ≈ 6748.004
The longer diagonal is about 6758 feet long.
A computer drawing program generally has more steps compared to using a compass and straightedge, although not by much. In a computer drawing program, you can erase an error within a click of a button, compared to having to manually perfect and erase your work when using a compass and straightedge. Also, you immediately have access to an online drawing program as long as you have Internet connection and a computer compared to having to go out and buy a new compass and straightedge. Other than that, they're generally the same despite being different mediums.
Hope this helps!
Answer:
it is still 200
Step-by-step explanation:
because you have to times both of them and if you times 100x200=200 please let me no if this wrong
