As a pharmacist, you are responsible for knowing about medication dosage, and how long a dose stays in the patient's system. Let's look at an example of a common medication, called ibuprofen. When a patient takes a 400 mg dose of ibuprofen, it releases into the bloodstream at a certain rate, and then decreases over time. The function that models this concentration of medicine over time is complex and looks like this:
P(t) = 0.5t++3.45t³ - 96.65t² + 347.7t, when 0 ≤ t ≤ 6 . In this function above, P(t) is the amount of medication (in mg) in the blood stream at time t (in hours). When put into a graphing software, it looks like this

1.How long does it take for the medicine to hit its peak concentration in the bloodstream?Using graphing calculator
(Must be exact values)

2. What is the peak concentration of the medicine in the bloodstream?

Answer:

The ratio of votes is 5:1

Step-by-step explanation:

Here, we want to find the ratio of votes

From the question, candidate B received 5 times of what candidate A received

so lest day candidate B received 25, candidate A will receive 5

So the ratio of votes for B to A will be ;

25 : 5

To the smallest term, this is 5:1

The nearest cent is 814.45

Answer:

x=4 and y=3

Step-by-step explanation:

Ah Algebra...

2x-3y=-1

y=x-1

Let's solve your system by substitution.

2x−3y=−1; y=x−1

Rewrite equations:

y=x−1;2x−3y=−1

Step: Solve

y= x−1

Step: Substitute x−1 for y in 2x−3y=−1:

2x−3y=−1

2x−3(x−1)=−1

−x+3=−1(Simplify both sides of the equation)

−x+3+−3=−1+−3(Add -3 to both sides)

−x=−4−x−1=−4−1

(Divide both sides by -1)

x=4

Step: Substitute4forxiny=x−1:

y=x−1

y=4−1

y=3(Simplify both sides of the equation)

Answer:

x=4 and y=3

Hope this helps :)

Stay Cold,

Brook

Answer:

(4,3)

Step-by-step explanation:

Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.

[tex]2x - 3(x - 1) = - 1[/tex]

Now simplify for x.

[tex]2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4[/tex]

Now with that, insert the x value in for x in the second equation.

[tex]y = (4) - 1 \\ y = 3[/tex]

Now the correct answer is (4,3)

Answer:

Reflection over the y-axis

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because everything is the opposite with negatives

Answer:

The answer would be 42 .

Step-by-step explanation:

Good luck ^.^

Answer:

84%

Step-by-step explanation:

Given that :

Number that prefers digital copy = 4

Number who prefers hard copy = 21

Total number of samples =

(digital + hard copy) = 25

Percentage who prefers hard copy :

(Number who prefer hard copy / total number of samples) * 100%

(21 / 25) * 100%

0.84 * 100%

= 84 %

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

[tex]2x-3y = 19[/tex]

Step-by-step explanation:

In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:

[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]

Answer:

you did this to me too lol

Step-by-step explanation:

jjdfksljdkfj JFKLJSDK djfa

Answer:

[tex]A' = (-4,4)[/tex]

Step-by-step explanation:

Given

[tex]A = (-2,2)[/tex]    [tex]B = (1,3)[/tex]       [tex]C = (1,0)[/tex]

[tex]k =2[/tex] --- scale factor

Required

Determine A'

This is calculated as:

[tex]A' = A * k[/tex]

[tex]A' = (-2,2) * 2[/tex]

[tex]A' = (-2 * 2,2 * 2)[/tex]

[tex]A' = (-4,4)[/tex]

Answer:

c

Step-by-step explanation:

mass= kg

v=m/s

k =kg×(m/s)²

k unit =kg×m²/s²

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:25

Step-by-step explanation:

divide 75 by 6 then multiply by 2

Answer:

There are no questions attached.

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

Answer:

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary

Answer:

no

Step-by-step explanation:

[tex]4y + 4 = 4 (y + 1)[/tex]

[tex]2y+2 = 2 (y + 1 )[/tex]

Answer:

70

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

x=-5

k=6x+100

6X-5=-30

k=-30+100

100-30=100+-30=70

k=70

Also I did it on Khan :)

Answer:

6.6

Step-by-step explanation:

For this problem, you need to add 5 to the given equation, by replacing "c" with "5"

1.8(5)-2.4

= 6.6

Answer:

x = 14

Step-by-step explanation:

30 = 3x - 12 (vertically opp)

30 + 12 = 3x

42 = 3x

42÷3 = x

14 = x

Answer:

Here is the the real answer

3.4 yd3

Answer:

62 degrees

Step-by-step explanation:

If two angles are complementary, it means that their sum is 90degrees

Hence if m<a and m<b are complementary, then;

m<a + m<b = 90

Given

m<a = 28degrees

Required

m<b

Substitute into the formula as shown;

28 + m<b = 90

m<b = 90 - 28

m<b = 62degrees

Hence the measure of angle b is 62 degrees

Answer:

Angle B: 62

Step-by-step explanation:

90 degrees minus angle a, (28 degrees) to get 62 degrees.

Answer:

isosceles

Step-by-step explanation:

An Isosceles triangle that has two sides of equal length.

Answer:

It is equilateral and acute

Equilateral because it has all sides equal

And

Acute because it has all angle inside 90 degree

Answer:

14a-2

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The slope increases from left to right.

Answer: Positive Slope

Step-by-step explanation:

If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative

Answer:

1. D. Wiley has to defeat the Hairy Man three times to make him go away.

2. A. Wiley gets out of the tree without being hurt by the Hairy Man.

3. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

4. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

5. The most important lesson Wiley learns in "Wiley, His Mother, and the Hairy Man" is, 'It is better to be a clever person than a strong one.' Option C.

6. They confront the that their partner/friend giles corey died becasue he was phused over to confessed to witchcraft.

Step-by-step explanation:

1. "Wiley, His Mother, and the Hairy Man" is a musical play that has it depends on an oral established story of the South of the United States.

Wiley is the hero of the play as he is the character that endures the principle struggle, against his adversary the Hairy Man, and furthermore on the grounds that the play is centered around his contention as well as on Wiley's association with his mother.

3. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

4. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

5. "Wiley, His Mother, and the Hairy Man" is a short story for children with a beautiful message. The story depicts how Wiley deals with a Hairy man who was quite dangerous to be handled alone and who used to steal baby. One day it so happens that, when Hairy man was about to steal a baby, Wiley changed that baby for a pig, thus defeating the Hairy man.

This way Wiley learned a lesson that its always better to be a clever person than a strong one. Wiley's smartness helped him to save the life of a baby.

6. I just learned that last week

Answer:

4/-2 = -2/1 = -2

y = -2x - 16