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maksim [4K]
1 year 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]1 year 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]1 year ago
7 0
Please let me know if you have any questions!

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The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
BaLLatris [955]
For product A, the product is increasing, for the bigger the number you plug into x (due to the fact that the numbers become bigger because of the time: year 1, year 2, etc)
Product A is 82% change rate, while 
product B is 983.45/4 = 245.8625,  1756.16/3 = <span>585.3867</span>
Product B is 245.8625/585.3867
product B is 42% change rate

Product A change rate is higher than Product B by 40%

hope this helps
3 0
2 years ago
Triangle A and triangle B are drawn on the grid. Describe fully the single transformation which maps triangle A onto triangle B.
madam [21]

Answer:

Step-by-step explanation:

Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.

7 0
1 year ago
What is the constant of the polynomial 2x3 - 8x2 + 3x - 7
Firlakuza [10]

Answer:

-7

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A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

8 0
1 year ago
MISSY SAYS THAT 5/6 EQUALS 6 DIVIED 5 IS SHE CORRECT? WHY ORWHY NOT.
ale4655 [162]
It’s 5 divided by 6 bc the 5 is the numerator, no she is not correct.
7 0
1 year ago
Read 2 more answers
A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
elena-14-01-66 [18.8K]

Answer:

dx/dt  =  0,04 m/sec

Step-by-step explanation:

Area of the circle is:

A(c) =π*x²      where   x is a radius of the circle

Applying differentiation in relation to time we get:

dA(c)/dt   =  π*2*x* dx/dt    

In this equation we know:

dA(c)/dt  = 0,5 m²/sec

And are looking for dx/dt then

0,5  = 2*π*x*dx/dt    when the area of the sheet is 12 m²  (1)

When  A(c) = 12 m²      x = ??

A(c)  =  12  =  π*x²      ⇒    12  =  3.14* x²    ⇒  12/3.14  =  x²

x²  = 3,82     ⇒   x  = √3,82    ⇒  x = 1,954 m

Finally plugging ths value in equation (1)

0,5  = 6,28*1,954*dx/dt

dx/dt  =  0,5 /12.28

dx/dt  =  0,04 m/sec

7 0
1 year ago
Read 2 more answers
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