The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. Find dR/dM. This derivative, as a function of M, is called the sensitivity of the body to the medicine.

Answers

Answer 1

Answer:

The derivative is [tex]\frac{dR}{dM} = CM - M^2[/tex]

Step-by-step explanation:

From the question we are told that

The equation representing the reaction is [tex]R = M^2 (\frac{C}{2} - \frac{M}{3} )[/tex]

Generally this equation can be represented as

[tex]R = \frac{C M^2}{2} - \frac{M^3}{3}[/tex]

Generally [tex]\frac{dR}{dM}[/tex] as a function of M is mathematically represented as

[tex]\frac{dR}{dM} = 2 * \frac{C M^{2 - 1 }}{2} + 3 * \frac{M^{3-1}}{3}[/tex]

=> [tex]\frac{dR}{dM} = CM - M^2[/tex]


Related Questions

-4(7a + 5) = -160

What does A = to? :)

Answers

Answer:

a=5

Step-by-step explanation:

first, let's distribute on the left side.

-4(7a+5)=-160

-28a-20=-160   distribution

-28a=-140   adding 20 on both sides

a=5     dividing by -28 on both sides

there's your answer!

QUESTION 2
84 is 30% of what number?

Answers

Answer: 280

Step-by-step explanation:

100/30=3.(3)

3.(3)*84=280

Answer:

280

Step-by-step explanation:

Which angle is a vertical angle with Angle EFD?

Answers

Answer:

Angle AFB

Step-by-step explanation:

A survey in 2012 indicated that college freshmen carry a mean credit card debt of $611 but the median of their credit card debt is $47. Create a data set of five freshmen students so that the data set has a mean and median that is the same as that of the surveyed college freshmen. , , , ,

Answers

Answer:

$27, $30, $47, $1093, $1851

Step-by-step explanation:

The median is the middle number and the mean is the average. When averaging all the numbers above, you get 611 and the middle number is 47.

The possible data set is $27, $30, $47, $1093, and $1851.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

To create a data set of five freshmen students with the same mean and median as the surveyed college freshmen:

Arrange the five numbers in ascending order to create the data set.

For example, one possible data set is:

$27, $30, $47, $1093, $1851

The mean of this data set is (28+  40 + 47 + 1090 + 1850) / 5 = $611, which is the same as the mean of the surveyed college freshmen.

The median of this data set is 47, which is also the same as the median of the surveyed college freshmen.

Therefore, $27, $30, $47, $1093, and $1851 are the points of the data set.

To learn more about the mean;

brainly.com/question/13451489

#SPJ2

hi please help ): picture is included

Answers

Answer:

a

Step-by-step explanation:

the over all total equals 200 and you can not subtract the 2 variables to get the total you have to add them


What is the solution to the following equation?
X-3(2x-8)= -25
A. X= 11

B. X= 14

C. X=10

D. x=5

Answers

Answer: X-3(2x-8)= -25

A. X= 11

B. X= 14

C. X=10

D. x=5

Step-by-step explanation:

if 300 apples cost 17600 how much does 1 apple cost​

Answers

Answer:

58.67 17600/ 300 = 58.67

Kimora drove with frankie to her mothers house which is 310 miles away. If it took them 6 hours, what was their average speed ?​

Answers

Answer:

51.6 was the average speed

Step-by-step explanation:

speed= distance/time

what is the rule for that​

Answers

Answer:

The constant rule being followed is that the sum of x and y in every case is 5

Since the sum of x and y is 5, we can say that the value of y is 5-x

So we can define a function for this rule:

f(x) = 5 - x

Answer:

y = -x + 5

Step-by-step explanation:

From the table we see that:

1. It is linear relationship as the difference in values change in linear increment2. Rate of change is - 1 as y-values drop by 1 unit3. y-intercept is 5 as per the first row (0, 5)

Considering the above observations we can put equation:

y = - x + 5

A line has a slope of -2/3 and passes through the point -3 and eight what is the equation of the line

Answers

Answer:

Y=-2/3x+10

Step-by-step explanation:

We have the slope -2/3, so we can find the y intercept by plugging in the given coordinate (-3,8). if y=mx+b, 8=-2/3(-3)+b. If you simplify the equation, you would get 8=-2+b, and then you would get 10=b. 10 would then be the y intercept.

How many atoms is 4.00 grams of iron
(Fe)?

Answers

Answer:

226

Step-by-step explanation:

Please first to answer will get brainliest

The water level of a tank every minute since it began filling is indicated by segments A,B,C on the graph below

Put the segments in the correct order from least to greatest rate of increase in water level

Answers

A then C then B

I hope this helps!

B, C, A because A is the steepest line, meaning it fills up the quickest and B is the least quick because it has the least steep line according to the graph.

Hope this helped!

PLS HELP ASAP
Explain how to estimate the product of 12 x 6. Use complete sentences in your answer.


WRITER
I need a written response pls not just the answer

Answers

Answer:

  10×6 with 20% added = 60+12 = 72

Step-by-step explanation:

There are several ways to estimate the product of these numbers. One way is to round 12 to 10, then multiply 10×6 to get 60 as an estimate. You know this estimate is low, because you rounded down from 12 to 10. You know that a better estimate will be about 20% higher, because 12 is 20% higher than 10.

The product can be computed mentally by recognizing that 12 is 6×2, so the product will be 6²×2. Most schools have you memorize your times tables at least through 10×10, so you already know that 6² is 36. Doubling that value (to 72) gives you the value of 6×12.

Another way to estimate the product is to round 12 to 10 and 6 to 5. Again, you know each of these "stand-in" values needs to be increased by 20% to match the real values. Then the product estimate is 10×5 = 50, and you judge that to be low by 20% +20% = 40%. 40% more than 50 gives you a refined estimate of 70, but you know that, too, is low by a small amount. (Percentage changes can only be added accurately when they are very small. The true error is 44%, which is 20%+20%+(20%)(20%).)

A candy store makes 6 1/2 pounds of fudge in 1/4 hr how many pounds of fudge can the store make in 1 hr

Answers

Answer:

26 lbs

Step-by-step explanation:

there are four 1/4 hours in an hour  1/4 x4=1 hour

6 1/2 x4= 26 lbs in an hour

how many centiliters are in 3 quarts?

Answers

Answer:

283-284

The real answer is like 283.906

Solve for x: x + b = C​

Answers

Answer:

x=C-b

Step-by-step explanation:

Subtract b from both sides to get x alone.

Could anybody help with this question? My teacher didn’t give a review so I’m not sure what to do. Any help is appreciated!

Answers

Answer: 6

Step-by-step explanation: set the equations equal to each other then solve. plug that number into the equation for AB

how many inches smaller is a 13.26 inch worm than a 14.13 inch worm

Answers

.87 jsjsjdjdjdnwnwkoadodjdhjejeieisosossosjdjdjeiwiisjddjdjdididid

__,__,__,89,115,141 so

Answers

Answer:

11, 37, 63, 89, 115, 141

Step-by-step explanation:

Subtract 89 from 115 and you get 26.

Subtract 115 from 141 and you get 26.

Its a pattern, subtract 26 from 89 and you get 63, keep subtracting 26.

Answer:

11, 37, 63, 89, 115, 141

Step-by-step explanation:

Every time you proceed right you add 26 to the last number.

Every time you go left you take away 26 from the last number

Hope this helps:)

(just add until 89 is 115 and add the answer to 115 and see if the answer adds up)

The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

x: ____ 1____ 2____ 4____ 8____ 16

p(x): _0.05_ 0.15__ 0.25__0.30__ 0.25

E(X) : Σ[(X). P(X)]

Σ(1*0.05) + (2*0.15) + (4*0.25) + (8*0.30) + (16 * 0.25)

= 7.75

B)

E(x) = u = 7.75

Var(X) = E[(x - u)²*p(x)] = (1 - 7.75)^2 * 0.05 + (2 - 7.75)^2 * 0.15 + (4 - 7.75)^2 * 0.25 + (8 - 7.75)^2 * 0.30 + (16 - 7.75)^2 * 0.25 = 27.7875

C)

Standard deviation (s)

s = √Var(x)

s= √27.7875

s = 5.271

D)

VAR(X) = E(X²) - (E(X))²

E(X²) = Σx²*p(x)

E(X²) = Σ(1^2 * 0.05 + 2^2 * 0.15 + 4^2 * 0.25 + 8^2 * 0.30 + 16^2 * 0.25) = 87.85

V(X) = E(X^2) - (E(X))^2 = 87.85 - 7.75^2 = 27.7875

You want to estimate the number of students in your middle school who play video
games. Which of the following would represent a random, valid sample?
O 10 students from your homeroom class
O Your 5 best friends at the lunch table
100 randomly selected people from your apartment complex
O 100 students selected randomly as their enter your middle school in the morning

Answers

Answer:

100 students selected randomly as their enter your middle school in the morning

Step-by-step explanation:

Answer:

C (100 students selected randomly from your middle school)

Step-by-step explanation:

The first one is wrong because its only 10 people from your homeroom.

The next one is also wrong sense its only 5 people who could also share the same interests as you.

The next one is wrong because its not from their middle school

That leaves us with the last one, its selected randomly with a lot of people involved from their middle school.

for a repair job an electrician charges an hourly rate of d dollars plus a flat fee of 50 the electricion charged a total if 114 for a 4-hour repair job. Part B. What is the value of D

Answers

Answer:

B. 4d + 50 = 114

Step-by-step explanation:

Given parameters:

Hourly rate = $d/hr

Flat fee = $50

Charge for the 4hrs = $114

Number of hours = 4hrs

To find d;

    Total cost  = $114;

             $114  = Flat fee + (rate per hour x number of hours)

            $114 = $50 + 4d

The value of d can be calculate using;

           4d + 50 = 114

The value of d is 4d + 50 = 114

Which single transformation can be applied to the graph of y = 72 StartRoot x EndRoot to produce the graph of y = 9 StartRoot x EndRoot?
- vertical translation
- vertical compression
- horizontal translation
- horizontal compression

Answers

Answer:

vertical....

Step-by-step explanation:

NawfSide 38 Baby

Answer:

B vertical compression

Step-by-step explanation:

edge :)

Which are correct representations of the inequality -3(2x - 5) < 5(2-x)? Select two options. A)x< 5
B)-6x - 5 < 10-X
C)-6x + 15 < 10 - 5x
D)6 -3 1 2 3 5 6 7
E)-7-6 --5 4 3 2 1 1 2 3​

Answers

Answer:

C and D or 3 and 4 0-0

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

EDG 2021

There are 450 cars in the car lot about 28% of them are hybrid cars. About how many cars are hybrid cars? Explain your reasoning.

Answers

Answer:

there are 126 hybrid cars.

Step-by-step explanation:

28% of 450 is 126

ta-daaa

72 red roses, 60 pink roses, and 48 yellow roses. What is the greatest number of bouquets that the florist can make if no roses are left over?

Answers

Answer:

12 bouquets

Step-by-step explanation:

Determine what the greatest common factor is in this case...

72/12 = 6 red roses

60/12 = 5 pink roses

48/12 = 4 yellow roses

As you can see the greatest common factor is 12. Therefore the greatest number of bouquets that the florist can make if no roses are left over should be 12 bouquets.

What is the slope of the line represented by the equation y = 4/5x - 3?
-3
-4/5
4/5
3

Answers

Answer:

4/5 is the slope of the line represented by the equation y = 4/5x - 3

The slope of this equation is 4/5

Write the equation of the line that passes through (-1,2) and (4,-2)

Answers

I think it’s y=-4/5+6/5

You earn $9.50 per hour at your summer job. Write and solve an inequality to find the number of hours you need to work to buy a camera that costs $247. define the variable. create an inequality. Solve.

Answers

Let
h
represent hours worked.
Now, we know the pay for one hour of work is
$
9.50
. So, the amount of pay for
h
hours worked is given by
9.50
h
.
Furthermore, since we're saving for a camera that costs
$
247
,
we want at LEAST
$
247
(but it's okay if we have more). So, we'll be using

in the inequality.
So, our inequality is
9.50
h

247

To solve, we simply divide both sides by
9.50
:
h

247
9.50

h

26

You need to work at least
26
hours to buy the digital

Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
Plzzzzzz hellp
Pllllzzzz

Answers

Answer:

Maggie is 7 years old

Step-by-step explanation:

Attached is an image that explains the question. Hope this helps!

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Giwe two Escample of translucentObject What was the relationship between the Venetians and the Ottomans? which word would best introduce a counter claim?A additionally B Although C furthermore D Eventually In the chemical equation CH4 + 02 CO2 + H2O, what are considered the reactants?CH4, CO202, H20CO2, H2OCH4, 02 Help me pls i give brainliest Do some research on Freud's dream analysis. Why did Freud want to analyze people's dreams? In your answer be sure you explain what "repression" and the "unconscious mind" are. A recipe requires 3/4 of a cup of milk for every 1 1/2 cups of flour how many cups of milk are needed for each cup of flour -12x+(-4)=56-2.1x+(-3.9)=10.8 Show work please 100 points plus brainliest How did climate change during the Mesolithic Era impact early peoples? What is the value of x in the equation? 7x+3=4x-9 Hi it will be so nice if u could help me thx! What was the name of the convention where the Constitution was written? (Book)a.the continental congress b.congress c.the constitutional convention 1. List and explain four factors (natural, political, social, or economic) that may impact diffusion 1. Neanderthals were killed off by Homo erectus. True or false Count and fill in the missing numbers...., 44, 45, 46, 47, 48, What is the denotation of the word "crowed" as it is used in the excerpt below?pls hurry i'll give brainlest I need help ASAP!!!!! 60 POINTS!!!10. Which of the following tables represents a function where f(4) = 6 and f(1) = 4 ?A. x... f of x... zero... two.... four... six... six... eight... A. B. x... f of x... negative one... negative four... zero... zero... two... eight... B. , , ,C. x... f of x... negative four... negative ten... negative one... negative four... six.... ten.... C. , ,D. Read the passage from Sugar Changed the World.Sugar is a taste we all want, a taste we all crave. People throughout the planet everywhere have been willing to do anything, anything at all, to get that touch of sweetness. We even know exactly how thrilling it was to taste sugar for the first time. When the Lewis and Clark Expedition met up with the Shoshone, who had little previous contact with Old World products, Sacagawea gave a tiny piece of sugar to a chief. He loved it, saying it was "the best thing he had ever tasted." Sugar created a hunger, a need, which swept from one corner of the world to another, bringing the most terrible misery and destruction, but then, too, the most inspiring ideas of liberty.Sugar changed the world.We begin that story with a man who could never know enough.How does the conclusion of the prologue support the authors purpose? Select two options.It introduces the topic that will be addressed next.It provides information about the authors.It states why the topic is relevant to readers.It cites sources the authors used in the text.It explains how the authors came to study the subject.