Which function models the relationship
between the concentration of the
medication in milligrams, p(t), and the
number of hours since the medication
was taken, t?

Answers

Answer 1

Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.

The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and  the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.

\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp    tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs

P(t) = 25.5( 1-16.2%)ˣ

= 25.5((100 - 16.2)/100)ˣ

= 25.5(83.8/100)ˣ

P(t) = 25.5(0.838)ˣ

Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.

To know more about concentration check the below link:

https://brainly.com/question/29151650

#SPJ1

Complete question:

9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.

Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?


Related Questions

What is the greatest common factor of 20 and 55?

Answers

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

If B = -q – 1 and C = q – 8, find an expression that equals 3B + 3C in
standard form.

Answers

Answer:

-27

Step-by-step explanation:

just did it

is -1/4 less than negative 3/4 use the number line to explain your answer PLEEAAAASSSEEE HELP MEEEEEE​

Answers

Answer:

yes because you got to tink about measuring stuff if you measure 1/4 it would be less than if you measure 3/4 because its closer to 4/4 whcich equals 1 so yes it is less than 3/4

Step-by-step explanation: Brainliest Please

Determine the surface area of a rectangular prism with the following dimensions:
Length = 4 cm, Width = 2 cm, Height = 3
A.52 sq. cm
D.20 sq.cm
d. 290 sq. cm
B.104 sq.cm

Answers

Answer:

A. 52 sq. cm

Step-by-step explanation:

surface area of a rectangular prism = 2(LW + WH + LH)

where

L = 4cm

W = 2cm

H = 3cm

plugin values into the formula:

As = 2(4*2 + 2*3 + 4*3)

As = 52 sq. cm

Answer:

A.52 sq. cm

Step-by-step explanation:

Given: l = 4 cm, w = 2 cm, h = 3 cm

Surface area of a rectangular prism

=2(l*w + w*h+h*l)

= 2(4*2 + 2*3 + 3*4)

= 2(8 + 6 + 12)

= 2*26

= 52 sq. cm

Kelly opened a simple interest account with deposit of $2200. At the end of 4 years, the balance of the account was $2200. What is the annual interest rate on the account.

Answers

The simple interest formula is:

I = P R T, where I is the interest earned, P is the principal, R is the insterst per year and T is the time in years

If the initial deposit is $2,200 and after 4 years the balance is still $2,200, then the interest rate is zero

say we have x ~ uniform(0, 1) and y ~ uniform(0, 1). what is the expected value of the minimum of x and y?

Answers

The expected value of the minimum of two independent uniformly distributed random variables x and y between 0 and 1 is 1/4. It is found by integrating over the two possible triangles and averaging the results.

Let M be the minimum of x and y. We can find the expected value of M by integrating over all possible values of x and y:

E(M) = ∫∫ min(x,y) f(x,y) dxdy

where f(x,y) is the joint probability density function of x and y.

Since x and y are independent and uniformly distributed between 0 and 1, their joint probability density function is:

f(x,y) = 1, for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1

and zero otherwise.

Therefore, we have:

E(M) = ∫∫ min(x,y) f(x,y) dxdy

= ∫∫ min(x,y) dxdy, for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1

To evaluate this integral, we can split the region of integration into two parts: the triangle where x ≤ y and the triangle where x ≥ y. In each part, we can express the minimum of x and y as a function of one of the variables:

For x ≤ y:

E(M) = ∫∫ min(x,y) dxdy = ∫0^1 ∫x^1 x dy dx

= ∫0^1 (x - x^2/2) dx = 1/3

For x ≥ y:

E(M) = ∫∫ min(x,y) dxdy = ∫0^1 ∫0^y y dx dy

= ∫0^1 y^2/2 dy = 1/6

Therefore, the expected value of the minimum of x and y is:

E(M) = 1/3 * (area of triangle where x ≤ y) + 1/6 * (area of triangle where x ≥ y)

= 1/3 * 1/2 + 1/6 * 1/2

= 1/4

Hence, the expected value of the minimum of x and y is 1/4.

know more about joint probability density function here: brainly.com/question/31129873

#SPJ11

100 points help is needed

100 points help is needed

Answers

Answer:

Plane LTXPlane XTVPlane LTV

Step-by-step explanation:

Just Plot the points the which are present in plane.Don't copy the points pair

Lyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the perimeter of the towel? (1 point)

Lyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the

Answers

Answer:

8 meters

Step-by-step explanation:

To find the perimeter follow these steps:

1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters

2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters

3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters

Have a fantastical day!

10(−7y−2z)+4z−2(−8z+6y) simplfy

Answers

Answer: -82y

-70y - 20z + 4z + 16z - 12y

-82y + 0

= -82y

Which set of side lengths will NOT form a triangle?

10 in., 13 in., 18 in.
6 in., 10 in., 10 in.
4.5 in., 6.5 in., 11 in.
8.5 in., 12.5 in., 16.5 in

Answers

Answer:

d

Step-by-step explanation:

i just feel it

a simply supported beam carries a uniform load
w=104kN/m at its middle third if L = 10 m determine the absolute
value of the maximum moment in kN-m

Answers

When a simply supported beam carries a uniform load of 104 kN/m over a length of 10 m, the absolute value of the maximum moment is 1300 kN-m.

The maximum moment in a simply supported beam carrying a uniform load can be determined using the formula:

Mmax = \((w * L^2) / 8\)

where Mmax is the maximum moment, w is the uniform load, and L is the length of the beam.

In this case, the uniform load is given as w = 104 kN/m, and the length of the beam is L = 10 m.

Plugging these values into the formula, we have:

Mmax = \((104 * 10^2) / 8\)

Simplifying the equation:

Mmax = (104 * 100) / 8

Mmax = 1300 kN-m

Therefore, the absolute value of the maximum moment in this beam is 1300 kN-m.

To summarize, when a simply supported beam carries a uniform load of 104 kN/m over a length of 10 m, the absolute value of the maximum moment is 1300 kN-m.

Learn more about absolute value from given link: https://brainly.com/question/12928519

#SPJ11

Find the slope of the line that goes through the points (3,5) and (-1, 4).

Answers

The answer is 1/4.
Explanation:
Slope formula: m = y2 - y1/ x2 - x1
m = 4 - 5/ -1 - 3
m = -1/-4
2 negatives make a positive so you get an answer of:
m = 1/4

find an antiderivative of 7x4 2x6x7 in the variable x where x≠0.

Answers

An antiderivative of the function \(7x^4 * 2x^6 * x^7\) is \((7/9) * x^{18} + C.\)

To find an antiderivative of the function \(f(x) = 7x^4 * 2x^6 * x^7,\) we can use the power rule for integration.

The power rule states that the antiderivative of \(x^n\) with respect to x is \((1/(n+1)) * x^{n+1} + C,\) where C is the constant of integration.

Applying the power rule to each term in the function, we have:

\(\int\(7x^4 * 2x^6 * x^7) dx = 7 * 2 * \int\(x^4 * x^6 * x^7) dx\\= 14 \int\(x^{4+6+7} dx\\= 14 \int\(x^{17} dx\\= 14 * (1/18) * x^{18} + C\\= (7/9) * x^{18} + C,\)

where C is the constant of integration.

Therefore, an antiderivative of the function \(7x^4 * 2x^6 * x^7\) is \((7/9) * x^{18} + C.\)

To learn more about antiderivative

brainly.com/question/3508174

#SPJ4

I need help on this question ASAP please

I need help on this question ASAP please

Answers

A) (3,-5)

Go over to the right 3 and down 5

B) (-4,-1)

Go over to the left 4 and down 1

Answer:

A - (3, -5)

B - (-4, -1)

Step-by-step explanation:

A - (3, -5)

B - (-4, -1)

Factor the following quadratic:
y=3x^2-13x-10

Answers

Answer:

(3x+2)(x−5)

Step-by-step explanation:

Factor 3x2−13x−10

3x2−13x−10

=(3x+2)(x−5)

Whats the slope using Rise/Run?
Thanks

Whats the slope using Rise/Run? Thanks

Answers

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

a knife set is on sale for $36, the set was on sale for 25% OFF. what was the original total price of the knife set?

Answers

The original price was $48

If 75% was 36, divide it by three to get 12 then multiply 12 by 4 to get 100% = 48

Using only numbers in the following list,
29
17
38
71
35
63
24
write down
a)
two numbers that add up to 100
b)
two numbers which differ by 46
c)
a multiple of 9​

Answers

Answer:

100=29+71

46= 63-17

63

12. A five-question multiple-choice quiz has five choices for each answer. What is the
probability of correctly guessing at random exactly one correct answer? Exactly two
correct answers? Exactly three correct answers? (Hint: You could let any two digits
represent correct answers, and the other digits represent wrong answers.)

Answers

Answer:

20%

Step-by-step explanation:

Solve 77 = -7x using one step equations

Answers

Answer:

x=-11

Step-by-step explanation:

Divide both sides by -7, and you get -11

Answer:
77= -7x
77/-7= x
-11=x
X=-11
Explain: you have to pass the -7 to the other side dividing

Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,2) f(x)= Question Help: −b Video

Answers

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

Learn more about logarithms here:- brainly.com/question/30226560

#SPJ11

Which of the following is NOT an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 15, 9, 3, -3, -9
C. 2, 4, 8, 16, 32
D. 1, 2, 3, 4, 5

Answers

Answer:

C. 2, 4, 8, 16, 32

Step-by-step explanation:

C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.

the number which best completes the sequence below is: 2 9 5 13 10 19 17

Answers

The number which best completes the sequence is 31.

To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:

1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31

However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.

The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.

To know more about sequence, visit:

https://brainly.com/question/30262438

#SPJ11

find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​

Answers

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

For more question on cosine visit:

https://brainly.com/question/30766161

#SPJ8

Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Ian is bisecting line segment cd. First, ian places the compass on point d and opens it to a width larger than half of the segment. What is the next step?.

Answers

The next step to bisect the line segment CD is to make an arc above the line as well as an arc below the line.

How to cut a line segment in half is as follows:

Place the compass at point D.

Set the compass to be just a little bit longer than half the length of the line segment.

Draw arcs above and below the line.

• Do the same thing by keeping the compass at C point while maintaining the same compass width.

Draw the line segment that passes through the points where both arcs crosses each other.

Hence, after keeping compass on point D, the next step will be to draw an arc above and below the line segment.

To learn more about line segment click here https://brainly.com/question/3931855

#SPJ4

many years ago it used to cost more to call people long distance. Let’s say the first 5 minutes cost 4 dollars, but the. every minute after that cost $0.50 per minute. how much would it have cost for a 20 minute phone call?

Answers

Answer:

Step-by-step explanation

it would be 80$ for a 20 minute phone call.

Answer:

Step-by-step explanation:

5=4

6=4.50

7=5

8=5.50

9=6

10=6.50

11=7

12=7.50

13=8

14=8.50

15=9

16=9.50

17=10

18=10.50

19=11

20=11.50

Basinwide hydraulic analyses are important for detention/retention pond design because Group of answer choices
a) Hydrograph delay is an unimportant consideration for downstream flooding impacts
b) Pond outflows from multiple subareas are likely to decrease downstream flooding when hydrographs are combined

Answers

Basinwide hydraulic analyses are important for detention/retention pond design because pond outflows from multiple subareas are likely to decrease downstream flooding when hydrographs are combined. Therefore, we can say that option (b) is correct.

Basinwide hydraulic analyses are crucial for stormwater management practices, specifically for detention/retention pond design. The reason behind this is that detention/retention ponds outflow from multiple subareas and the hydrographs from these areas are combined before it enters downstream. By having detention/retention ponds, the water runoff is held back, which minimizes the downstream flood.

Additionally, it also lowers the peak flows of the stormwater runoff.

In contrast to the primary belief that hydrograph delay is an unimportant consideration for downstream flooding impacts, it is the opposite. It is very important, and pond hydrographs' efficiency is significant to detain the stormwater runoff. The primary reason is that it takes time for the hydrograph to develop fully and peak out, reducing the flow downstream.

The conclusion is that basinwide hydraulic analyses are important for detention/retention pond design because pond outflows from multiple subareas are likely to decrease downstream flooding when hydrographs are combined.

To know more about hydrographs, visit:

https://brainly.com/question/32220553

#SPJ11

There are 9 chocolate bars in a bag of Halloween candy. The bag is dropped and 5 of the chocolate bars break. You take one random chocolate bar out, eat it and take another out. What is the probability that neither of these were broken?

Answers

Answer:

Below

Step-by-step explanation:

4 out of 9 are not broken    first bar not broken chance is then 4/9

  now there are   8 bars left and 3 are not broken    so for the second bar thee is a 3/8 chance of not being broken

4/9 * 3/8 = 12/72 =   1/6

Answer:

it's below because

Step-by-step explanation:

1/6 !!!!!!!!!!!!!!

How do you define Finite Math?

Answers

Finite math is the part of mathematics where we have models and analysis techniques that can be applied in real life.

Some examples of topics that are included in Finite Math are probability, matrix algebra, linear programming and finance.

I need help ASAP I will give brainlist!

I need help ASAP I will give brainlist!

Answers

Answer:

First answer choice

Step-by-step explanation:

Bob has less than 5 cats.

Therefore he does not have more cats.

With this information you a, b, c, and f.

And since he also can't have an equal amount of cats, that gives you a, and f.

But it can't be less than or equal to stated earlier.

Therefore you get answer choice a!

Other Questions
Of the smoothie sold yesterday at Isaac's smoothie shop 1/4 we're banana and another 2/3 were strawberry What fraction of smoothies were either banana strawberry? CHANGE THE FOLLOWING ACTIVE VOICE INTO PASSIVE VOICE 1 HE WILL SPEND ALL THE MONEY.2 HE HELPS THE POOR. If the sum (3x ^ 2 - 2x + 12) + (x ^ 2 + 8x - 2) is multiplied by 2x ^ 2 what is the result written in standard form ? 3. walker gives a personal account of why clint's disability matters; how does the comic portray his difficulty hearing (particularly in these final issues), and why does this effort matter? Olivia is experiencing hypoglycemia. What is MOST likely the cause of this condition PLSSSSSS HELPPPPP MEEEEEEEPart AWhat is a theme of "The Storyteller?"The tried and true way is usually the best way.Bad behavior is always punished.A story can be judged to be good only if its entire audience is entertained by it.Questioning authority should sometimes be encouraged.Part BHow does Saki develop the theme identified in Part A?He shows how happy the children are when they are able to get away from the aunt.He shows the children, and later the bachelor, criticizing and contradicting the aunt.He shows the children rebelling against the train conductor.He shows the bachelor assuming control over the children.I need help;-; urban bloom, incorporated's books show an ending cash balance of $18,000 before preparing the bank reconciliation. given the bank reconciliation shows outstanding checks of $5,400, deposits in transit of $3,600, nsf check of $180, and interest earned on the bank account of $18, the company's up-to-date ending cash balance equals: multiple choice The Tar in cigarettes cause addiction? T or F Viewers think who won the debate?A. No answer text provided.B. JFKC. Nixon Explain why executives who hold stock options prefer stockrepurchases over stock dividends. (3 marks) Randy was playing "Double Heads," a game in which he would flip two coins at a time. He recorded the number of times he flipped two heads at the same time. He flipped the coins 50 times, and there were 20 times when both coins landed heads up, which he recorded as 20/50. How does 20/50 compare to 50%? a company purchased inventory for cash, which will be consumed during future months. which of the following correctly describes the impact of the purchase on the financial statements? group of answer choices operating expenses will increase. total assets will remain unchanged. total assets will decrease. operating income will decrease. 1) ____This letter marks a low latitude climate with alternating seasons of very dry and very wet weather, influenced by the movements of the ITCZ.5) ____This letter in the Western Hemisphere marks a midlatitude climate type in which nearby warm ocean currents provide moisture year-round, hot humid summers are common, and wet winters with some freezing weather occur. Read the body paragraph from an essay on sound effects in film. Stretch a piece of waxed paper until its taut. Next, place it in front of the microphone. Then, pour uncooked rice onto the paper. This results in a sizzling sound that can be used for cooking on a hot stove or frying bacon. To provide a smooth transition at the beginning of the paragraph, what is the most effective sentence to add? For example, its easy to create a sizzling sound. As a result, try creating a sizzling sound. Therefore, you can make a sizzling sound. In conclusion, you can generate a sizzling sound. A school class went on a field trip to see a magician perform there were 17 females 20 males in the class the magicians randomly selected a volunteer from the audience in which had 52 females and 68 males given that the randomly selected audience member is a student from the class which equation can be used to find the probability p that the perdimos also a female?please help does anyone know the answerI ready test... Jim Searcy, a religious prophet who now lives in Cypress, claims that the Prince of Wales is a suspicious person. Therefore, we must conclude that the Prince of Wales is up to no good. PredictionArgument from analogyGeneralizationArgument from AuthorityArgument based on signsCausal inference 7/8 divided by 3/4 simplest form Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. If you mutated the laci gene resulting in a mutant lac repressor protein that could bind to the lac operator but not to allolactose, what would be the consequence for transcription of the lac operon?. Last month when Holiday Creations, Incorporated, sold 39,000 units, total sales were $156,000, total variable expenses were $123,240, and fixed expenses were $39,800. Required: 1. What is the company's contribution margin (CM) ratio? 2. What is the estimated change in the company's net operating income if it can increase sales volume by 575 units and total sales by $2,300?