Albuterol is used to calm bronchospasm. It has a biological half-life of 7 hours and is normally inhaled as a 1.25 mg dose. (Note: Use the concepts of half-life or doubling time. The biological half-life of a substance is the amount of time it takes for the physiologic or radiologic activity of that substance to reduce by half.)

Required:
a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.
b. How much albuterol is left in the body after 24 hours?

Answers

Answer 1

Answer:

a. N(t) = 1.25 (1/2)^t/7

b. 0.1160933038mg.

Step-by-step explanation:

The formula for half life =

N(t) = No(1/2)^t/t½

Where N(t) = Amount of Substance left

No = Initial amount not Substance

t = time after t years

t½ = Half life of the substance

From the question:

No = 1.25mg

t½ = 7 years

a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.

N(t) = No(1/2)^t/t½

No = 1.25mg

t½ = 7 years

N(t) = 1.25 (1/2)^t/7

b. How much albuterol is left in the body after 24 hours?

Using the model in the above question

N(t) = 1.25 (1/2)^t/7

N(t) = 1.25(1/2)^24/7

N(t) = 1.25(0.5)^3.4285714286

N(t) = 0.1160933038mg

Therefore, the quantity of albuterol left in the body after 24 hours is 0.1160933038mg.


Related Questions

Help me solve this problem

0.0002 x 0.004

Answers

Answer:

0.00000008

So this is the answer.

what is 5 OVER 3 divided by 7 pls help me

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Answer:

0.23809523809 hope that helps

I’m pretty sure it’s 5/21.
5/3/7 the decimal is 0.238

What number meets the following characteristics, is rational, less than 0, greater than negative 4, and is not an integer NEED ANSWER FAST

Answers

Answer: - 3/4

Step-by-step explanation:

It fits

So let's narrow it down.

Less than 0, greater than -4

That gives us three whole numbers, -3, -2, and -1.

So that does not really narrow it down, because all of those aren't integers and are rational.

Any other information?

help find the equation of the tangent line please (calculus)

Answers

The tangent line to f(x) at x = c has slope equal to the derivative at c, or f'(c).

We have

f(x) = 3 - 2 x + 7 x²

so that

f'(x) = -2 + 14 x

The slope is 5 for

-2 + 14 x = 5   ==>   14 x = 7   ==>   x = 1/2

Now, f (1/2) = 15/4, so the tangent line has equation

y - 15/4 = 5 (x - 1/2)   ==>   y = 5 x + 5/4

find X in the ratio 1:3 = 9:x​

Answers

Answer:

27

Step-by-step explanation:

9*3=27

since it's always 3 times the amount of the left side we would just multiply 9 by 3

The required value of x would be 27 in the given ratio 1:3 = 9:x​.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio is given in the question as follows:

1:3 = 9:x​

We have to determine the value of x in the given ratio.

As per the question, we have

1:3 = 9:x​

⇒ 1/3 = 9/x

Apply the cross-multiplication,

⇒ x = (3) × (9)

Apply the multiplication operation, and we get

⇒ x = 27

Therefore, the required value of x would be 27.

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Ok now what do I press?

Answers

Answer:

Notification

Step-by-step explanation:

ic
Solve the inequality 2x + 8 < 5x - 4.
Ox>4
Ox> 1
Ox<1
Ox<4
HELP ASAP

Answers

Answer:

2x + 8 < 5x - 4.

Step-by-step explanation:

it equals

x>4

{10, 12, 14, 16, 18, ...} What is the formula ?

Answers

Answer:

10 + 2x

Step-by-step explanation:

we you started with 10 and you're adding 2 everytime

x = the number of times you do this

10 + 2x

Answer:

2n + 8

=> 10, 12 , 14, 16, 18, 20, 22, 24, ...

12) 36 gallons is equal to how many quarts? 4 qt=1 gallon*

Answers

Answer:

144

Step-by-step explanation:

36 x 4

Answer:

144

Step-by-step explanation:

1 gallon 4

36 gallon 4*36 =144

20/3 = ?/6 what is the answer to the question mark

Answers

Answer:

40. 3*2 is equal to 6 so 20*2 equals 40

The value of the missing number in the equation is 40.

What is the value of the missing number?

Given the equation in the question:

20/3 = ?/6

Let x represent the missing number:
Hence:

20/3 = x/6

To solve for x, we cross-multiply and simplify:

20/3 = x/6

Cross multiplying, we get:

3 × x = 20 × 6

Multiply 3 and x:

3x = 20 × 6

Multiply 20 and 6:

3x = 120
Divide both sides by 3:

x = 120/3

x = 40

Therefore, the value of x is 40.

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0
87
B
o
93
с
S
e e e
0
11
o
79
CLEAR ALL
Given that:
AB CD
mZLRB = (7x + 10)
mZRSC = +(81+5)
Find mZARL in degrees

Answers

Answer:

i need points

Step-by-step explanation:

plz thanks

The cost for decorations and the disc jockey for the senior class dance was $500. The class members sold 325 tickets and made a profit of $2,750. If x represents the price of each ticket sold, which equation could be used to find x?

Answers

Answer: Yes

Step-by-step explanation: Because of the gravity of the earth

write the equation in slope intercept form
(-2,6) with a slope of -1/4

Answers

Answer: y=-1/4x+11/2


Billy saw 6 tigers and 9 lions at the zoo. What is the ratio of tigers to lions that Billy saw, and what is the
significance of this ratio?
A. 1:3, because the cats Billy saw were in groups of threes
B. 2:3, because Billy saw two-thirds as many tigers as lions
C. 2:3, because two-thirds of the cats Billy saw were tigers
D. 1:3, because Billy saw 3 fewer tigers than lions at the zoo

Answers

Answer:

D

Step-by-step explanation:

The correct ratio is 1;3 so that eliminates B and C. The problem doesn't state anything about Billy seeing groups of tigers so D is the only logical answer.

B is the correct answer

1/7 x g = 1


what's g

Answers

g
=
7
x
That’s the answer

Answer:

or,1/7divide by 1 =g

or, 1and 1 cut remember 7 =g

therefore value of g is 7.

Step-by-step explanation:

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent. QUICKLY!
WILL GIVE BRAINLIST

Answers

Answer:

4x-6

Step-by-step explanation:

Two times 2 equals 4 and 2 times 3 equals 6

4x-6
Hope this helps !!

.
Greg ran 12 miles a day on 18 different days last month. How many miles did he run?

Answers

Answer: 216

Step-by-step explanation:

12 x 18 = 216

I need the answer ASAP

Answers

Answer:

top right

Step-by-step explanation:

The principal roots of
a number are​

Answers

Answer:

Step-bvery nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √x, where the symbol √ is called the radical sign or radix. For example, the principal square root of 9 is 3, which is denoted by √9 = 3, because 32 = 3 ⋅ 3 = 9 and 3 is nonnegative.y-step explanation:

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

Answers

Answer:

2=1.0247 The termite population doubles in ñ 29.226 days.

Step-by-step explanation:

How to Multiply this equation -3(-6r+6)

Answers

Answer:

18r - 18

Step-by-step explanation:

-3(-6r+6)

Multiply -3 by -6r = 18r *Negative times a negative equals a positive.

Secondly, multiply -3 times 6 = -18

Combine and check your work.

18r - 18

Two functions are defined as shown.

f(x) = f(x) equals negative StartFraction 1 Over 2 EndFraction x minus 2. x – 2

g(x) = –1

Which graph shows the input value for which f(x) = g(x)?

A coordinate grid with two lines. One line labeled f(x) passes through (negative 2, 3), (0, 1), and point (2, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (3, negative 1).

A coordinate grid with two lines. One line labeled f(x) passes through (negative 4, 0), point (negative 2, 0), and (0, negative 2). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (3, negative 1).

A coordinate grid with two lines. One line labeled f(x) passes through (negative 4, 1), (negative 2, 0), and point (1.5, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (1.5, negative 1).

Answers

Answer:

its graph two trust also pls brainiest

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

K = -1, f(x) = x -3x+2
I am a bit confused the question says: use the remainder theorem and synthetic division to find f(k).

Answers

Answer:

f(k) = 6

Step-by-step explanation:

See attachment:

Which pair of angles must be supplementary
1 and 5
5 and 3
4 and 5
4 and 1​

Answers

Two Angles are Supplementary when they add up to 180 degrees. You didnt add a picture but choose the angles that create a straight line, kind of like if you were doing a puzzle.

The supplementary angle pairs are: angles 4 and 5

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. Which means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

We know that Two Angles are Supplementary when they add up to 180 degrees.

In the given diagram , the pair of angles must be supplementary that are:

angles 1 and 8

angles 2 and 7

angles 4 and 5

angles 3 and 4

angles 1 and 2

angles 7 and 8

angles 3 and 6

angles 5 and 6

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3. Julio's dad bought 10 dozen potatoes. The potatoes were equally
divided into 6 bags. How many potatoes are in each bag?

Answers

Answer:

20 potatoes in each bag

Step-by-step explanation:

10 x 12 = 120

120 / 6 = 20

20 potatoes . 10*12=120, 120 divided by 6 is 20

f (x) = -4x + 4
f(2)=

Answers

Substitute x = 2 as we get

f(2) = -4(2)+4 = -8+4 = -4

Therefore, f(2) = -4

Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign.

Answers

Answer:

6.2%

Step-by-step explanation:

got the wrong answer and this was the right one omm

Which is greater 728.307 or 729.07

Answers

Answer:

729.07

Step-by-step explanation:

Answer:

729.07 is the greater number between the two.

Step-by-step explanation:

Suppose you deposit 1000 ​$ in a savings account that pays interest at an annual rate of ​4%. If no money is added or withdrawn from the​ account, answer the following questions.

How much will be in the account after 3 ​years?
b. How much will be in the account after 16 ​years?
c. How many years will it take for the account to contain 1,500 ​$​?
d. How many years will it take for the account to contain 2000​$​?


Some one please helppppppp mee

Answers

Answer:

a. 1124.86

b.  1872.98

c. 10.35

d. 17.7

Step-by-step explanation:

use the formula A(t) = a (1+r)^t

Andrew has 20 more goldfish than Todd .together they have 80 goldfish how many goldfish does each boy have

Answers

Answer:

Andrew 50

todd 30

Step-by-step explanation:

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