1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hoochie [10]
3 years ago
14

Carlos has taken an initial dose of a prescription medication.

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

You might be interested in
What is 300 times 500
timama [110]

Answer:

150000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary
tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

M = \frac{x_1 + x_2 + ... + x_n}{N}

The mean absolute deviation is:

MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}

And the population standard deviation is:

PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7

The mean absolute deviation is:

MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6

And the population standard deviation is:

PSD =  \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2

6 0
2 years ago
What operation am I gonna use for both of t hem I'm not sure??
gogolik [260]
Division I'm pretty sure Try that
6 0
3 years ago
The difference of 3 times a number and 15 is no less than the square of the number.
jok3333 [9.3K]

Answer:

(B) The inequality that represents this relationship is 3x  < x^2 +15

Step-by-step explanation:

Let us assume the given number = x

⇒ 3 times the given number = 3 (x)  = 3x

Square of the given number = (x)^2  = x^2

Now, According to the question:

The difference of (3 x) and 15 is no less than x^2

⇒ 3x - 15 < x^2\\ \implies 3x  < x^2 +15

or, 3x  < x^2 +15

Hence, the given inequality is represented as 3x  < x^2 +15

8 0
3 years ago
Read 2 more answers
What is the measure of Angle z?
denis-greek [22]

Answer:

Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56 For the second picture, angle m will be the same as angle z because of the properties involved.

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • juneau has an area of 2,717 square miles. valdez has an area of 222 square miles. what is their combined area?
    6·2 answers
  • What is the precision of 16.2
    6·1 answer
  • Which expression is equivalent to 6 - (-21) ? *<br> O 6-21<br> O 6+21<br> O-21-6<br> 0 -21 +6
    7·2 answers
  • the bakery you choose costs $1,000 per month to rent. the bakery that you almost rented was 1/4 the cost but was much too small.
    10·1 answer
  • I need help asap, please !<br><br> 5+(−3)(6x−5) simplify this
    10·1 answer
  • Find the angle between following linesroot 3x-y=2,x-root 3y=7<br><br>​
    14·1 answer
  • Linda leaves the school to go home. She walks 7 blocks south and then 9 blocks east. how far is Linda from her office?
    14·1 answer
  • How many triangles can you make with two side lengths of 6 inches that meet at a 50 degree angle.
    10·2 answers
  • 3) Nancy is 22 years older than her son Roger. In 8 years Nancy will be 3 times as old as Roger is in 2 years.
    5·1 answer
  • The ratio of the measures of the sides of a triangle is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!