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maksim [4K]
2 years ago
11

The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of appro

ximately 6 hours. That is, every 6 hours, the amount of caffeine in the body decreases by 50%. Charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at that time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?
A. 5 am

B. 11 am

C. 11:30 am

D. 12 pm

Mathematics
2 answers:
yarga [219]2 years ago
7 0
After 6 hours the amount of caffeine 40 mg. After another 6 hours the amount of caffeine is 20 mg. It takes 12 hours for the total amount of caffeine to drop down to 20 mg. the answer is 11 am -B. Hope this helps!
Pachacha [2.7K]2 years ago
7 0
Please let me know if you have any questions!

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Now imagine that instead of walking along the path 1→2→3→4→1, ann walks 80 meters on a straight line 33∘ north of east starting
stealth61 [152]

Answer:

Anna's walk  as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j} and refer attachment.

Step-by-step explanation:

Let the origin be the point 1 from where Ann start walking.

Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,

Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)

Ann walk as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}

Thus, Anna's walk  as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}

 




7 0
2 years ago
Read 2 more answers
PLEASE HELPPPPPP!!!!!!! A group of 40 trees in a forest are not growing properly. A botanist determines that 34 of the trees hav
mixas84 [53]
It’s an 6 out of 40 percent probability or 27% chance out of 100%
7 0
2 years ago
the population of two towns were equal in a particular year. subsequently the population of one town increases by 8 % and the po
VashaNatasha [74]
Ooh, this is a tough one. I'll try my best to answer. 

Ok, for the town that decreased in population it would of gone to <span>21551.38 citizens. For the one that increased in population by 8% it would be </span><span>24761.16.

Hope that helps!</span>
8 0
2 years ago
9 days ago the area covered by a mold and a piece of bread with three square inches today the mold covers 9 square inches find t
Kazeer [188]

9 days ago, the mold covered an area of 3in^{2}.

Today (after 9 days), the mold covers an area of 9in^{2}.

<em>What is the increase in area?</em> It went from 3 to 9. So the increase is 9-3=6 in^{2}.

Now, we need to find <em>rate of change</em>. It means to find  how much the area increased every day over the past 9 days. We simply divide <em>the increase (6)</em> by the <em>total number of days (9)</em> to find the rate per day. So we have,

\frac{6}{9} =\frac{2}{3}  in^{2}

ANSWER: Change of Rate = \frac{2}{3} in^{2} per day

6 0
2 years ago
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A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as
lorasvet [3.4K]

8 x 12 = 96

136-96 =40

40/4 = 10

 each girl averages 10 points

4 0
2 years ago
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