The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with half-life of approximately 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 the time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?

Answers

Answer 1

Answer:

I know the answer and the answer is 11 AM

Answer 2

Answer: 9 PM. 9-> 80 mg, 10->40mg, 11->20 mg

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A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease. The percent decrease was approximately 25%. The percent decrease was approximately 33%. The percent decrease was approximately 50%. The percent decrease was approximately 66%.

Answers

66% It is 66% because 203 is less than half of 605. So, you would add that together. 203+203=406 Thats not even close to 605 so now you add almost half so that would be about 66%

Answer:

Decrease was 66%

Step-by-step explanation:

What is d= when 4+3d=19

Answers

the answer is 5

4+3d=19
you would subtract 4 from both side which would leave you with this
3d=15
the tou would divide each side by 3 which would then be
d=5

subtractivesubtract 4from both sides and u will get3d=15 then u divide 3by both sides and u will get d=5

Locate 11/3 on a number line

Answers

Draw a number line with three notches for each number.

1 2       3    4    5
l--l--l--l--l--l--l--l--l--l--l--l--l

11/3 is equal to 3 2/3, so it would be two notches past 3, on the notch indicated with arrows below.

1 2       3 ↓ 4    5
l--l--l--l--l--l--l--l--l--l--l--l--l
      ↑

11/3 would be closlely to 3.5 because it is 3.66667

Please explain how you got the answer, i dont understand the subject

Answers

Answer:

y=mx+c

We have to find the value of m and c.

Let's substitute the value of x and y from the table.

When x=1, y=15,

15= m(1)+c

m +c= 15 ------(1)

Now substitute another set of x and y values.

When x=2, y=24,

24= m(2)+c

2m +c= 24

c= 24 -2m ------(2)

Let me rewrite the two equations so that it is clearer for you to see.

m + c= 15 -----(1)

c = 24 -2m -----(2)

subst. (2) into (1):

m+ 24-2m= 15

-m= 15-24 (bring constants to 1 side, m terms to the other)

-m= -9 (simplify)

m= 9 ( divide by -1 throughout)

subst. m=9 into (2):

c= 24 -2(9)

c= 24-18

c= 6

Thus, the equation is y=9x+6.

When the cat is 3 years old, x=3.

When x=3,

y= 9(3)+6

y= 33.

Hence, the cat is 33 years old in human years.

The surface area of a cube is 294 cm2. Which statements are true about the same cube measured in square millimeters? Choose all answers that are correct. A. The number representing the surface area would decrease. B. The number representing the surface area would increase. C. The actual surface area would decrease. D. The actual surface area would increase. E. The actual surface area would stay the same.

Answers

To check whether the statements are correct, we need to convert cm to mm.

surface area of a cube = 6 a²
294 cm² = 6 a²
294 cm² / 6 = a²
49 cm² = a²
√49 cm² = √a²
7cm = a

1 cm = 10 mm
7 cm = 70 mm

Surface area of a cube = 6a²
= 6 * (70mm)² = 6 * 4,900mm² = 29,400mm²

B. The number representing the surface area would increase.
E. The actual surface area would stay the same.

a composite figure is formed by combining a square and a triangle its total area is 32.5 ft2 the area of the triangle is 7.5 ft2 what is the length of each side of the square

Answers

The length of each side of the square is 5ft

Area of a composite function

Area of the composite figure = area of square + area of a triangle

Substitute the given information

32.5 = Area of square + 7.5

Area of square = 32.5 - 7.5

Area of squar = 25.0 ft^2

Since Area of square = L^2

L = 5ft

Hence the length of each side of the square is 5ft

Learn more on area of composite shapes here: brainly.com/question/8408690

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