Mathematics College

A simplified model for the concentration (micrograms/milliliter) of a certain slow-reacting antibiotic in the bloodstream t hours after injection into muscle tissue is given by
f(t) = t2 ·e−t/16, t ≥ 0.
When will there be maximum concentration?
In the units given, how much is the maximum concentration?
When will the concentration dip below a level of 20.0?
Estimate from a graph when the concentration function changes concavity

Answers

Answer 1

Answer:

A) T = 24

b) 77.953

c)  t > 63.78 , t < 5.6

d) (7.029,27.5) and (40.97,55.23)

Step-by-step explanation:

Given

F(t) = t^2 e^-t/12, t ≥ 0

a) time for maximum concentration

  t = 24

b) determine maximum concentration at maximum time

F(24) = 77.953

c) determine when the concentration will dip below the level of 20.0

when t > 63.78 , t < 5.6

d) concentration function changes concavity  ( estimated from a graph )

(7.029,27.5) and (40.97,55.23)

attached below is the detailed solution

A Simplified Model For The Concentration (micrograms/milliliter) Of A Certain Slow-reacting Antibiotic

Related Questions

If prepresents the number of pizzas ordered, and srepresents the number of slices per pizza, then what does ps ⋅ repre

Answers

Answer:

Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.

Step-by-step explanation:

A waffle house offers 19 different types of syrups. If a customer can choose any number of syrups to have with their waffle, how many syrup combinations are possible? Please show work

Answers

Answer:

Step-by-step explanation:

they all just have 19 or less

Match each complex number with its corresponding distance to the origin.

Answers

Answer:

no

Step-by-step explanation:

bc im better

Convert 32/5 to a mixed number.

Answers

Answer:

6 2/5

Step-by-step explanation:

6×5= 30 + 2= 32

I hope this helps in any way.

The mixed form of the factor 32/5 will be 6²/₅.

To convert the fraction 32/5 to a mixed number, we need to find the whole number part and the fractional part.

Divide the numerator (32) by the denominator (5) to find the whole number part. In this case, 32 divided by 5 equals 6 with a remainder of 2.

The quotient, 6, represents the whole number part of the mixed number.

The remainder, 2, represents the numerator of the fractional part.

The denominator remains the same.

Putting it all together, the mixed number representation of 32/5 is 6 and 2/5.

So, 32/5 is equal to 6 and 2/5.

To know more about mixed numbers follow

https://brainly.com/question/18120044

#SPJ6

y = 3x - 4
y =- 1x +4

Answers

I’m thinking this is a systems of equations so here’s how you do it. Hope it helps!!!!

convert to slope form: 3x-4y=8 then graph the line on the grid.​

Answers

Answer: 3/4

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

HOPE THIS HELPS :)

Write the equation in slope-intercept form that passes through (-1,-7) and (1,3)

Answers

Answer:

y= -2x + 5

Step-by-step explanation:

Using the two points you get the slope: -2

Using the slope and one of the given points, you can find out the y-intercept, which is 5  

IT IS FOR 100 POINTS
Which description is paired with its correct expression?

four less than the quotient of a number cubed and seven, increased by three; 4 minus StartFraction n cubed Over 7 EndFraction + 3 five times the difference of a number squared and six; 5 (6 minus n squared) nine more than the quotient of six and a number cubed, decreased by four; 9 + StartFraction n cubed Over 6 EndFraction minus 4 twice the difference of nine and a number squared; 2 (9 minus n squared)

Answers

Answer:

See below

Step-by-step explanation:

I think it’s four less than the quotient of a number cubed and seven, increased by three

I hope you get this right!

Answer:

I think it’s four less than the quotient of a number cubed and seven, increased by three

Step-by-step explanation:

hope this helps

which equation can be used to find 60 percent of 50?​

Answers

Answer:

the answer is [c]

60 percent as a decimal is 0.6 (60/100) so to find 60 percent of 50 you do 50 * 0.6 and you’ll get 30

Joyce paid $60.50 for an item at the store that was 45 percent off the original price. What was the original price?

Answers

Answer:

27.23

Step-by-step explanation:

60.50 divided by .45

Which equation should be used to find the missing value in __+ 3.2=7.8

Answers

Answer: 7.8 - 3.2

Step-by-step explanation: Doing this will get you the blank answer

Today I am trying to change peoples' days for the better. Say something nice in the comments, or answer this "question", whether it's an inspirational quote, poem, picture, or simple 'hi'. I want to make your day, so answer this question, and take my points. Keep Shining!!! Love you all :)

Answers

Answer:

Hello! Thank you a lot! My nice thing would have to be keep going even when things get hard. We all have something unique about us and were all on a journey to figure out what that is. Don't let anyone take away what makes you unique.

Step-by-step explanation:

Please answer all three and I am giving brain thing and Max points

Answers

Answer: its a blank page

Step-by-step explanation:

Please help me, I don’t know how to solve for x on this one

Answers

Use trigonometry to solve for x.

The tangent function is defined to be opposite side divided by the adjacent side.

tan(78) = x/10

tan(78)(10) = x

47.0463010948 = x

We now round off to two decimal places. In other words, we round off to the nearest tenths.

47.05 = x

Done!

find the difference in altitude between a mountain that has an altitude of 4878 feet and a desert valley that is 428 feet below sea level.

Answers

Answer:

4450 I think

Step-by-step explanation:

4878-428=4450

The difference in altitude and desert valley is 53.06 feet.

What is Integer?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

The desert valley that is 428 feet below sea level is (-428).

and, altitude of 4878 feet  is (+4878) feet.

So, the difference is

= 4878 - (428)

= 4878 + 428

= 5306 feet

Hence, the difference is 5306 feet

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ2

hey! how are y'all? tell me about your day:)

Answers

hey! i’m doing okay , hmm i didn’t do much today’s besides go to school obviously

Answer:

Hi, I'm doing good, just bored

52 songs on 4 cds
ASAPAPAAPAPAPA

Answers

Answer:

Is it a question

Step-by-step explanation:

Seriously!!!

4. What is the solution to the system of equations?

5. What is the solution to the system of equations?

6. Explain how to solve the previous problem # 5

Photo is attached

Answers

Answer:

5 and 6

Step-by-step explanation:

Ethan can jog 6,000 feet in 4 minutes. If he jogs at the same rate, how many feet can he jog in 10 minutes?

Answers

Answer:

12k in 8 minutes, 18k in 12. it would be 15k if you take away 2 minutes.

Step-by-step explanation:

simplify expressions with distribution
8x – 6(-6x + 4)

Answers

Answer:

44x-24

Step-by-step explanation:

Distribute

Answer:5

Explanation:8x-6=6x+4

8x-6x=6+4

2x=10

x=5

Please help
TIME REMAINING
57:49
What is the lowest value of the range of the function
shown on the graph?

-♾
-2
0
3

Answers

Answer:

it looks like its negative 2

Answer:

it's -2.

you probably don't want a explanation but in case someone asks you about it just tell them that "range" is the area from up to down and they're asking for the lowest value.

Evan has $0.45 worth of pennies and nickels. He has a total of 21 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Evan has.​

Answers

6 nickels and 15 pennies
6 nickels and 15 pennies

5/9y = 25 was is y ​

Answers

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

y = 45

All you have to do is divide 132,000 by 53%.. =69,960

Answers

Answer: 69,960  divide  132,000 by 53%  you get 69.960

Step-by-step explanation:

 

Grace has 2 quartera . Jen have 4 dimesss were ans 1 nickels. Keesha has 3 dimes and 3 nickels. Terry has 1 quarters , 1 dime

Answers

What is this supposed to mean? And what is the question? If I read it correctly, Grace has 50 cents, Jen has 45 cents, Keesha has 45 cents and terry has35 cents

Wich one is SAS
Please helpppp

Answers

Answer: AD=DC

Step-by-step explanation:

If the two variables in a given theory move in the same direction, which type of relationship do they share?
A negative
B. positive
C. neutral
D.l inverse​

Answers

Using proportionality of variables, it is found that they are classified as positive, hence option B is correct.

What is the proportionality of variables?When two variables move in the same direction, their relation is called direct or positive.When two variables move in the different directions, their relation is called inverse or negative.If they are independent, they are neutral.

In this problem, they move in the same direction, thus they are classified as positive and option B is correct.

More can be learned about proportionality of variables at https://brainly.com/question/1266676

Answer:

positive

Step-by-step explanation:

Write 35/12 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answers

2.9167 is 35/12 as a decimal
hope this helps :)

Answer:

2.9167

Step-by-step explanation:

i just calculated it i guess

Find the slope of each graph. Express the answer in simplest form.Please show graph ​

Answers

Answer:

Step-by-step explanation:

rise over run. the slope is -3 for 10.

Answer:

-3/1

Step-by-step explanation:

Two complementary angles are congruent. Which equation gives the measure in degrees, d, of each angle? (Imagine math)

Answers

Answer:

sksi

Step-by-step explanation:

Answer:

5x-8x=y

Step-by-step explanation:

Other Questions
2. Did President Polk overstep his power by declaring war on Mexico? Shouldthe US have stayed out of the dispute? 47,52,57,62what's next? Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = (x + 3)(2x 2) Officials are looking into three different ski accidents. The accidents happened when three skiers (all with the same mass) were skiing across the flat, snowy ground. They were each bumped by another skier, but not all from the same direction. These skiers changed speed as a result of being bumped. Use the information in the diagram to answer.Which skier(s) experienced the strongest force when bumped? How do you know?aThe skiers in the yellow and purple sweaters; both gained the same force as they sped up, but the skier in the red sweater lost force and slowed down.bThe skier in the yellow sweater experienced the strongest force because he has the fastest ending speed.cAll three skiers experienced the same strong force because they changed speed by the same amount.dThe skier in the red sweater because it takes a stronger force to slow something down than to speed it up. Plz answer You will get 26 points!Which correctly lists the three processes that are affected by freeze and thaw cycles? creep, landslide, and deposition deposition, creep, and weathering landslide, slump, and deposition slump, weathering, and creep A window washer cleaned 28 windows in 4 hours. At this rate, how many windows did he clean in 9 hours?if u can answer quickly that would be great! 15 points and (This question do not for Beginner) Please help me!1. How do metamorphic and igneous rocks become sedimentary rocks?2. Where does the energy for high temperatures and pressures come from?3. Where does the energy for melting come from? Explain why these are the products based on trends in the periodic table (the number ofvalence electrons, electronegativity, etc.) for:CH4 + O2 ------------> CO2 + H2O Turn your face towards the sunLet the shadows fall behind youDon't look back, just carry onAnd the shadows will never find youTurn your face towards the sunLet the shadows fall behind youDon't look back, just carry onAnd the shadows will never find youLost in the rock and rollGot lost in a promise of a love I never knowShadows chase me far from homeI remember when my heart was filled with goldAnd you know I've been burnedI've been burned I've been burnedYou've seen me lose controlIt's not worth it's not worth it's not worthMy soulTurn your face towards the sunLet the shadows fall behind youDon't look back, just carry onAnd the shadows will never find youLost my faith and trustYou and I know gold don't turn to rustI still swear that we can reignLike the kings and queens of better yesterdaysDon't you know I've been burnedI've been burned I've been burnedYou've seen me lose controlIt's not worth it's not worth it's not worthMy soulTurn your face towards the sunLet the shadows fall behind youDon't look back, just carry onAnd the shadows will never find youWhere you gonna go where you gonna go where you gonna run toWhen you get to the edge of the nightIts time you face the skyTurn your face towards the sunLet the shadows fall behind youFirst person to get it right, brainliest. Good luck! John is a 32 year old swimmer. His resting heart rate is 52. He would like to workout between 70% and 80% of his heart rate reserve. What is John's target heart rate range? When an object transfers energy to another object, does it always transfer all of its energy? What is one element a topographic map shows? Air flow Climate People Relief help me pls in your math class there are 2 Boys for every 3 girl.which of the following be the ratio of Boys and girl in the class? We are excited about the big. Action verb or are linking verb At the time President Kennedy took office, people with disabilitiesO had limited access to phone booths and bathrooms.were frequently ridiculed and locked away in institutions.were subjected to eugenics laws in some states.O had achieved full equality with other Americans. Describe the location of a proton within an atom. Compare the mass of a proton in regard to other subatomicparticles.Need help ASAP please Can be" is a form of be true or false Roots of plants and trees contribute to the____ of rocks.A.) Chemical weatheringB.) DepositingC.) Eroding D.) Physical weathering If A4BC - AAVW, find the values of x and y. 18 The Holcombe family went out to dinner. The meal cost $54.65. The sales tax is 8% of the meal. The tip was 18% of the meal and tax. There are 5 people in the Holcombe family. What was the cost per person for the meal, including sales tax and tip? A $10.93 B $13.77 C $13.93 D $16.77