The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function а n = f(t) = 1 + be-0.90 where t is measured in hours. At time t = 0 the population is 30 cells and is increasing at a rate of 24 cells/hour. Find the values of a and b. a = b = According to this model, what happens to the yeast population in the long run? O The yeast population will shrink to 0 cells. The yeast population will stabilize at 270 cells. The yeast population will stabilize at 135 cells. The yeast population will stabilize at 8 cells. O The yeast population will grow without bound.

Answers

Answer 1

Answer:

Explanation:

[tex]n=f(t)= \frac{a}{(1+be^{-.9t})}[/tex]

At t = 0

30 =  [tex]\frac{a}{1 + b }[/tex]

30 + 30 b = a

 [tex]\frac{dn}{dt} =f(t)= \frac{-.9abe^{-.9t}}{(1+be^{-.9t})^2}[/tex]

For t = o

[tex]\frac{dn}{dt} =f(t)= \frac{.9ab}{(1+b)^2}[/tex]

given

24 = [tex]\frac{.9ab}{(1+b)^2}[/tex]

24 = [tex]\frac{30\times.9b }{1+b}[/tex]

24 = 27b / 1 + b

24 + 24 b = 27 b

24 = 3 b

b = 8

a = 30 + 30 x 8 = 270

[tex]n=f(t)= \frac{a}{(1+be^{-.9t})}[/tex]

Put t = infinity

n = a = 270

So at infinite time yeast population will stabilise at number 270 .


Related Questions

If a box of 500 washers weighs 125.0g how many boxes would you have if you have 18.0kg of washers? How many washers would this be?

Answers

Answer:

144 boxes, 72,000 washers

Explanation:

I'm not sure if this is right but convert the 18kg to g and then divide it by the grams. You get 144 and then multiply it by 500 for the total number of washers

What is the independent variable in this experiment?

Answers

Answer:

D

Explanation:

because it was the variable that was changed in the experiment. distance was controlled and speed changed with time.

how much electrons are present in MnO4-

Answers

The correct answer is 5

The first ionization energy of fluorine and iodine

Answers

Answer:

The most electronegative atom, fluorine, is assigned a value of 4.0, and values range down to cesium and francium which are the least electronegative at 0.7. First Ionization Energy of Iodine First Ionization Energy of Iodine is 10.4513 eV.

Explanation:

How does bacteria from a fecal transplant help the patient with an C. difficile infection?

Answers

Answer:

difficile infection. By reintroducing a healthy diversity of bacteria, fecal transplantation can re-establish colonization resistance to prevent C. difficile from gaining a foothold and becoming a dominant organism in the environment of the gut.

Explanation:

A procedure calls for 0.250 kg of sugar. Your balance is in ounces. What mass in ounces should be weighed out on this balance?

Answers

Answer:

8.81849

Explanation:

i believe the whole number would be this but usually i round to the second decimal point, i dont know if you could do that in chemistry tho

PLEASE SOMEONE HELPP

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Answer:

D

Explanation:

What is often added to the water used when reacting the group 1 metals with
water?
Universal indicator
An acid
An alkali
Oil
What is produced when sodium reacts with water?
Sodium oxide and water

Answers

Answer:

an acid.

sodium oxide and water

why is diamond hard​

Answers

The outermost shell of each carbon atom has four electrons. In diamond, these electrons are shared with four other carbon atoms to form very strong chemical bonds resulting in an extremely rigid tetrahedral crystal. It is this simple, tightly-bonded arrangement that makes diamond one of the hardest substances on Earth.

Answer: Diamond is hard due to its giant covalent lattice and it has many strong covalent bonds.

Explanation:

Which is a homogenous mixture?


1. ceasar salad

2. pre-cooked pizza

3. coffee in a cup

4. different color beads in a bowl

Answers

Answer:

ceasar said is a homogeneous mixture

Answer:

ceasar salad

how would you differentiate between acid and bases if the list of their chemical formula is given to you​

Answers

To determine whether a substance is an acid or a base, count the hydrogens on each substance before and after the reaction. If the number of hydrogens has decreased that substance is the acid (donates hydrogen ions). If the number of hydrogens has increased that substance is the base (accepts hydrogen ions).
CAN U HEP ME I HAVE A WLEEP APRAFOY AR I CANT GETA WRIS ODNIT PLEASE HWLP

If a cube has an edge length of 0.843 cm what is the volume of the cube? (Answer should be 3 decimal places)

Answers

Answer:

0.600

Explanation:

Hope this helps!

A sample of gas has a volume of 526 mL at 346 mmHg and 35.0°C. Determine the moles of gas.​

Answers

Answer:

The moles of gas is 0.009474 moles.

Explanation:

Given that,

Volume = 526 mL

Pressure = 346 mmHg

Temperature = 35.0°C

We need to calculate the moles of gas

Using formula of ideal gas

[tex]n=\dfrac{PV}{RT}[/tex]

Where, P = pressure

V = volume

R = gas constant

T = temperature

Put the value into the formula

[tex]n=\dfrac{\dfrac{346}{760}\times0.526}{0.08206\times(35+273)}[/tex]

[tex]n=0.009474\ moles[/tex]

Hence, The moles of gas is 0.009474 moles.

On July 8th, I will be 8.51472x108 seconds old. How old will I be in years? (Assume 365 days in a year.)
step by step

Answers

Answer:

You will be 27 years old (✿◠‿◠)

How to do ionic equations

Answers

Answer:

Write the ionic equation by breaking all the soluble ionic compounds into their respective ions. Each ion should be shown with its charge and an to show that it is present in solution. Use coefficients to show the number of each ion present.

Explanation:

Hope this helps and I hope you have a wonderful day! Spread the love!

Which noble gases is closest to magnesium? On the periodic table? What must happen if a magnesium atom for it to have an electron arrangement similar to that of a noble gas?

Answers

Answer:

Neon and loose electrons

Explanation:

Magnesium has an electron configuration of 2e 8e 2e, and Neon is 2e,8e. For Mg to have a similar electron arrangement it must loose its two valence electrons and make it an ion.

Answer:

Noble neon gas is the closest.

Explanation:

noble Neon  gas

The Magnesium would have to lose two electrons

Which of the following is always involved in a scientific inquiry? A. conducting experiments based on scientific questions B. guessing what would happen instead of doing experiments C. knowing the correct answer before you start D. conducting surveys to ask people's opinions on various subjects​

Answers

Answer:

I'm pretty sure it's a I'd its wrong I'm sorry

Answer:

developing solutions to questions through scientific research

Explanation:

Scientific inquiry involves coming up with questions based on observation and reasoning, conducting experiments based on scientific questions,and developing solutions to questions through scientific research.

If anyone have the answers to this plz tell me

Answers

Explanation:

hey can I please get the passage so that I can help you

How
myny moles are present in 5.6x1022 atoms of Ne? (0.09 moles Ne)
Sot ne10.05

Answers

Answer:

mole = no of atoms/ 6.02E23.... so therefore answer= 5.6E22/6.02E23= 0.093✨

I WILL GIVE YOU BRAINLIEST!!!

which sentence uses emitting correctly

A after emitting his mistake, Charlie vowed to make things better.

B Charlie should be emitting an apology.

C Charlie heard birds emitting a very strange sound.

D the emitting sound of an early moring birds woke charlie.

Answers

Answer:

its either A or C

Explanation:

Q) which sentence uses emitting correctly ?

Answer :(c) Charlie heard birds emitting a very strange sound .

Explanation :

Emitting means ' to give off ' , since birds are giving off a strange sound , we say " Charlie heard birds emitting a very strange sound " .

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(fill in the blank)

Answers

Answer: different

Explanation: There are 20 different amino acids.

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Answers

Answer:

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Explanation:

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Molten rock cools below Earth’s surface.



Chemical changes cause sediment to cement together.



Loose material is compacted by pressure.



Weathering breaks down rock and other material.

i will give brainlest also if this get answer becuase i said this no one should have to say that but i will

Answers

Answer:

Loose Material is compacted by pressure.

state four difference between the series and parallel connection?​

Answers

Answer:

1- The components in a series circuit are arranged in a single path from one end of supply to another end. However, the multiple components in a parallel circuit are arranged in multiple paths where the two end terminals of the battery.

2- In the series circuit, different voltage exists across each component in the circuit. Whereas in the parallel circuit, the same voltage exists across the multiple components in the circuit.

3- The equivalent resistance in case of a series circuit is always more than the highest value of resistance in the series connection. While the equivalent resistance in the parallel circuit is always less than any of the individual resistances in parallel combination.

4- A fault in one of the components of the series circuit causes hindrance in the operation of a complete circuit. As against fault in a single component in a parallel network do not hinder the functioning of another part of the circuit.

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One of the pieces of evidence supporting energy quantization was the line spectra of elements. Why does this demonstrate energy quantization?
a) Photons are packets of energy that act both as a particle and a wave.
b) The spectra is continuous and shows emission at all wavelengths.
c) There are sharp emission lines demonstrating discrete energy levels.
d) All compounds emit light in the ultraviolet and visible regions specifically.​

Answers

Answer:

c) There are sharp emission lines demonstrating discrete energy levels.

Explanation:

When an element emits energy in the form of radiation, it produces a spectrum of colors on a photographic plate. This spectrum can either be continuous or discrete. In continuous spectrum the spectrum continues without any discrimination between two regions. This represents the continuous emission of radiation, and thus the continuous emission of energy without any break.

On the other hand, the line spectrum consists of discrete and sharp lines, which shows the emission of radiation in a certain amount in a certain time, with a break between emission. Hence, the line spectra supports the quantization of energy.

The correct option is:

c) There are sharp emission lines demonstrating discrete energy levels.

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Answers

Answer:

do we have the volume ?

Explanation:

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Answer:

vv

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Point A: Summer

Point B: Fall

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Answer:

C

Explanation:

A homologous series is a group of molecules with the same general formula and the same functional group.

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Answers

Answer:

B

Explanation:

The answer is B, I hope this helps you!

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biochemistry
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Answers

Answer:

It is A: biochemistry

Explanation: i seen there was no answer so i took a chance and surprisingly got it correct

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