One of Camille’s graduation gifts is a trip on Amtrak from his home in Atlanta to New York to visit a cousin. Camille is afraid he may experience motion sickness so he has decided to take 50 mg of dimenhydrinate (which will help prevent motion sickness) before boarding Amtrak. Suppose that 85% of this medication remains in the bloodstream after 1 hour. Represent the amount of dimenhydrinate in Camille’s bloodstream for the first 4 hours of taking the drug. Let t be the number of hours after reaching its peak level of 50 mg. Explain how you determined the amount of dimenhydrinate in Camille’s bloodstream.

Answers

Answer 1

Answer:

26.10 mg

Step-by-step explanation:

Initial amount of drug = 50 mgRemains after each hour = 85%Time = t

This relationship can be shown as a function:

y(t) = 50(0.85)^t

After 4 hours remaining drug in blood:

y(4) = 50(0.85)^4 = 50(0.522) = 26.10 mg

Related Questions

Arms Race. A simplified mathematical model for anarms race between two countries whose expenditures fordefense are expressed by the variables x1t2 and y1t2 is:___________

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : The speed of  e^-5t  is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞

Step-by-step explanation:

attached below is a detailed solution of the problem

The speed of  e^-5t  is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞

NEED HELP FAST
The height of a soccer ball that was kicked up into the air is given by the equation \displaystyle h(t)=-16t^2+352th(t)=−16t

2

+352t where t is the time in seconds after the ball was kicked.


The ball reaches a maximum height of ________

feet.

It will take the ball __________

seconds to reach its maximum height.

The ball will reach the again after _______

seconds. .

Answers

i think it will take the ball

80% of the 400 pieces of art at the Classical Art Museum are paintings. How many pieces of art are paintings?
GIVING BRAINLIEST idk whats it called =_=
WITH ALOT OF POINTZ

Answers

Answer:

320 pieces are paintings

Step-by-step explanation:

Hope i helped : )

Answer:

320

Step-by-step explanation:

% means out of 100 so 80% is 80 out of 100 also known as 80/100

80/100 times 400

32000/100

320

What is the equation of the line that passes through the points (0, 3) and
(5.-1) written in slope-intercept form? Answer plz

Answers

first you must find the slope, by using the equation y2-y1/x2-x1
then you plug the slope and one of the given points into the equation
y-y1=m(x-x1)
so the answer is
y-3=-4/5(x-0)

How can you use multiplication to help you divide 6,000 by 20?

Answers

Answer:

20 x ___ = 6000

Step-by-step explanation:

Thats how you use multiplication

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

This can help divide 6,000 by 20 by basically reversing the equation:
20 x ____ = 6,000
When finding out the number that goes in the blank will be the answer to 6,000 divided by 20. Therefore you will be able to find out if you want to multiply which two numbers multiply to get 6,000 or you can find out what 6,000 divided by 20 is. There are many ways you can use this completed/equation

Need math help asap, an explanation would also be much appreciated, thanks.

Answers

Use the angle bisector theorem. In this case, it says

3 / (8 - y) = 9 / y

Solve for y :

3y = 9 (8 - y)

3y = 72 - 9y

12y = 72

y = 6

Triangle abc is similar to triangle def. which proportion can be used to find the length of DE on centimeters (please leave a small explanation)

Answers

Answer: DE=12

Step-by-step explanation:

ABC similar to DEF

That means that AB corresponds to DE , AC to DF and BC  to EF

So AB/DE=AC/DF=BC/EF=5/15=3/9=1/3

So 4/DE=1/3

=>DE=12

Answer:=

Its A = 4/3=DE/9

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event if you get exactly 6 heads

Answers

Answer:

3/4

Step-by-step explanation:

If you flip it 8 times then and get heads 6 times then your probability would be 6/8 but simplified down to 3/4

It takes 24 minutes for a pump to empty a tank. A larger pump can empty the tank in half the time. How long would it take to empty the tank with both pumps operating?

Answers

I think it’s 6 minutes

Pls help thank you :)

Answers

Answer:

points= (0,4) (1,-4) (-1,4) and make the line

Step-by-step explanation:

i just know

Y - intercept of the line y = 3/4x +2

Answers

Answer:

Step-by-step explanation:

3/4

Help please this is due soon

Answers

Answer:

98

Step-by-step explanation:

Answer:  C) 98 inches

=====================================================

There are two ways to find the answer

-----------------------

Method 1

Multiply the length and width by the scale factor

10*3.5 = 35

4*3.5 = 14

The new larger rectangle is 35 inches by 14 inches

Add up the four sides: 35+14+35+14 = 98

The perimeter of the larger rectangle is 98 inches

-----------------------

Method 2

We can use the formula P = 2(L+W) to get the perimeter of the original rectangle

P = 2(10+4)

P = 2*14

P = 28

The original rectangle has perimeter 28 inches.

Or you could note how 10+4+10+4 = 28

Multiply this with the scale factor to get 28*3.5 = 98 inches

(HELP THIS IS TIMED!)
Which situations can represent the expression n+2? Check all that apply.

Ramya's grade increased by two points

the difference between Escher's highest score and two

the number of chapters Wally read plus two more

two fewer than the maximum number of absences Ellie is allowed

two added to Allison's age.

the sum of Mikel's height and two

Answers

Answer:

1,3,5,6

Step-by-step explanation:

Sorry I didn't get to this in time, but if you see this, please give me brainliest, apariently I need it to get to the next answer. Thank you for your time.

Harrison has 80 CDs in his music collection.

If 30% of the CDs are country music and 50% are pop music, how many CDs are other types of music?

Answers

Answer:

THE ANSWER IS 9 CDS THANK ME LATER

Step-by-step explanation:

Consider random samples of size 50 from a population with proportion 0.35.
Find the mean and standard error of the distribution of sample proportions.
Round your answer for the mean to two decimal places, and your answer for the standard error to three decimal places.

Answers

Answer:

The mean is  [tex]\mu_{\^ p } = p = 0.35[/tex]    

The standard error  is  [tex]SE = 0.06745[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  50  

    The population proportion is [tex]p = 0.35[/tex]

Generally given that the sample size is large enough , then the mean of the distribution is  mathematically represented as

          [tex]\mu_{\^ p } = p = 0.35[/tex]    

Generally the standard error of the distribution is mathematically represented as

        [tex]SE = \sqrt{\frac{p (1- p )}{n} }[/tex]

=>     [tex]SE = \sqrt{\frac{0.35 (1- 0.35 )}{50} }[/tex]

=>     [tex]SE = 0.06745[/tex]

Help please idk what to do

Answers

Answer:

The parallel slopes are the same as the regular slopes. The perpendicular slopes are equal to -1 * (1/slope)

Step-by-step explanation:

Answer:

For Parallel slop is the same. For perpendicular int is opposite reciprocal.

Step-by-step explanation:

For example, the parallel slope of 3 is 3 and perpendicular is -1/3

Which of the ratios below is equivalent to 2:1? Select all that apply.

A) 6:4
B) 8:4
C) 10:5
D) 6:12
E) 6:3

Answers

The ratios below that are equivalent to 2:1 is 8:4, 10:5 and 6:3. That is options B, C, and E.

To find the ratio of a given two quantities how many times one quantity is greater or smaller than the other.

Therefore in option B, when 8:4 is simplified by division,

8/4 = 2/1 = 2:1

Therefore, in option C, when 10:5 is simplified by division,

10/5 = 2/1 = 2:1

Therefore, in option E, when 6:3 is simplified by division, 6/3 = 2/1 = 2:1

Therefore, the ratios below that are equivalent to 2:1 is 8:4, 10:5 and 6:3.

Learn more about ratio here:

https://brainly.com/question/2328454

help plsplspls asap !! :)

Answers

Answer:

lets just say the f stands for 1 and 1 times negative 4 is negative 4

and 5 will stay 5 the equation would be -4/5 so after u divide the 4 and the five you get negative 1

The answer will be -1

Quickest to answer is brainliest!​

Answers

Answer: 60%, 0.599, 2/3

Step-by-step explanation:

Answer:Second one

Step-by-step explanation:

the sum of 2 numbers is 60. one number is 4 times as large as the other. what are the numbers?

Answers

48 and 12... 12x4= 48 and 48+12=60 hope this helped

Solve for X
x+3 1/3=8 1/2

Answers

Answer:x= 31/6

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

Please please help me

Answers

Answer:

2a squared - 4a

Step-by-step explanation:

12 a^2 - 3a - 10a^2 - a

12 - 10 = 2

-3 - 1 = -4

2a^2 - 4 a

it’s c 2a^2 - 4a (need more characters)

Anton bought a picnic cooler . His total bill with tax was $7.95. He paid 6% sales tax. How much did he pay for the cooler alone without the tax?
A.) 1269
B.) 57.95
C.) 7.95
D.) %50

Answers

The Answer to your question is c

find the value of x the missing leg​

Answers

Answer:

the answer is 17

wlecome

Step-by-step explanation:

Answer:

the answer would be

Step-by-step explanation:i hope this helped

is 12 a direct variation ​

Answers

Answer:Yes

Step-by-step explanation:

A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 10) units and a width of 14 units. What will be the perimeter of both the rectangle and square?

A. 34 units
B. 60 units
C. 64 units
D. 2 units

Answers

Answer:

the answer is d(2 units)

Answer:

C 64 units

Step-by-step explanation:

P = 2L + 2W

square

2(8x) + 2(8x) = 16x + 16x = 32x.  

rectangle

2(4x + 10) + 2(14) = 8x + 20 + 28= 8x + 48

32x = 8x + 48

-8x    -8x

24x = 48

divide both sides by 24

x = 2

P = 32(2) = 64

Kenny reads 4/7
pages in 2/3 minutes. How many pages can he read in 1 minute?

Answers

Answer:

6/7

Step-by-step explanation:

75% of the apple pies are sold on Tuesday and the remainder with thrown out if 12 apple pies were sold on Tuesday then how many worth grown out

Answers

Answer:

75 % of 12 = (75 * 12 ) / 100 = 9 were sold

12 - 9 = 3 were thrown out

Step-by-step explanation:

Michael makes a deposit of $800 in his bank account. Two years later, he had a total of $832 in his account. What is the interest rate on his savings account?

Answers

It is a 2:50 since intrest in a month

Which of the ratios below is equivalent to 4:1? Select all that apply.

A) 12:3
B) 24:6
C) 8:4
D) 16:4
E) 10:6

Answers

Answer:

A B and D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

divide by 3

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