Since the amount if Caffeine decreases by 12% an hour, that is the same as a multiplier of 0.88 per hour.
r = ln 0.88 = -0.117833371
10 = 120 e^-0.117833371t
10/120 = e^-0.117833371t
0.8333 = 10/120
ln0.8333 = -2.48490665 so
e^-2.48490665 = e^-0.117833371t and so
-2.48490665 = -0.117833371t
-2.48490665/-0.117833371 = t
21.08830995 hrs = t
thus 21 hrs is your best answer.
Answer:
the graph is in the picture
Answer:
The correct answer is 30 miles.
Step-by-step explanation:
Porter is driving due east to point, say B, from his initial point, say A, for about 20 miles. Therefore AB = 20 miles.
He is driving due south to point, say C, from B, for about 23 miles. Therefore BC = 23 miles.
Therefore the distance between A and C is given by the Pythagoras theorem,
⇒ AC = = = 30.479 miles ≈ 30 miles.
Therefore Porter is 30 miles away from his initial point, to the nearest hundredth of a mile.
Answer: B
Step-by-step explanation:
A) False. Rotations do not preserve parallelism.
B) True. Rotations are rigid motions and thus preserve angle measure.
C) False. A rotation that changes the location of every point except for the center of rotation.
$2.06 per pound. Divide $8.24 by 4.