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

What does it mean for an element to be oxidized?

A. The element is a spectator ion in a chemical reaction.

B. The element has gained one or more electrons in a reaction.

C. The element has lost one or more electrons in a reaction.

D. The element has bonded to another element with opposite charge​

Answers

Answer:

B

Explanation:

Oxidation occurs when an atom molecule or ion loses one or more electrons in a chemical reaction when oxidation occurs the oxidation state of the chemical species increases oxidation doesn't necessarily involve oxygen originally the term was used when oxygen caused electron loss in a reaction hope this helped. :)

An element is oxidized when It has loses one or more electrons in a chemical reaction. Therefore, Option (C) is correct.

What is Oxidation ?

The loss of electrons, gain of oxygen or loss of hydrogen will be considered as Oxidation.

The gain of electrons, loss of oxygen or gain or hydrogen will be considered as the Reduction.

Rusting is one of the popular example of oxidation.

Therefore, An element is said to be oxidized when It has lost one or more electrons in a reaction.

Hence , Option (C) is correct.

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3. Students were measuring distances and found one to be 2.04 m. When they asked the teacher if their measurement was correct, the teacher said, “Actually, it is 2.16 m.” What is the percent error?

Answers

Answer:

5.56

Explanation:

Helpppp
4. This group of substances tend to be malleable, ductile, and have relatively high melting points.
They are
(2 Points)
A.noble gases
B.nonmetals
C.metals
D.halogens

Answers

Answer:

The answer is metals

The metric unit of force is the Newton (N) , which is kg⋅m/s2 .
Convert 10 kg⋅cm/s2 to Newtons.

OPTIONS:
A. 1×10−1 N
B. 1×10−2 N
C. 1×10−5 N
D. 1×10−6 N

Answers

Answer:

1×10^-1 N

I took the quiz

Answer:

A

Explanation:

I just took the test.

Is this a chemical reaction? Explain your reasoning. (Will give brainliest)

Answers

yes , this is a reaction.

in this sodium hydroxide reacts with copper sulfate


7. The density of gasoline is 0.70 g/cm². How many cm of gasoline have a mass of 80
g?
A 875 cm3
B 88 cm3
C 1,143 cm3
D 114 cm3

Answers

Answer Is C 1,143

Explanation:

what is the density of an object with a mass of 100 grams and a volume of 50 cm​

Answers

Answer:

2

Explanation:

because 100÷50=2m÷v=d

What is an indicator? What does it tell you about solutions?

Answers

Answer:

Pure water is neutral, and so is petrol. An indicator is a substance that changes colour when it is added to acidic or alkaline solutions. You can prepare homemade indicators from red cabbage or beetroot juice - these will help you see if a solution is acidic or alkaline.

I need help with my chemistry homework

Answers

Speed in excess of 100 km/h, which is 208.8 km / h

Further explanation  

Linear motion consists of 2: constant velocity motion with constant velocity and uniformly accelerated motion with constant acceleration  

• An equation of uniformly accelerated motion  

[tex]\large {\boxed {\bold {x=xo+vo.t+\frac {1} {2} at ^ 2}}}[/tex]

vt = vo + at  

vt² = vo² + 2a (x-xo)  

x = distance on t  

vo / vi = initial speed  

vt / vf = speed on t / final speed  

a = acceleration  

I think it's not chemistry but physics

Known

Δx = 290 m

vf = 0⇒stop

Δt = 10 s

We use the formula in the question

[tex]\tt \Delta x=\dfrac{1}{2}(vf+vi)\Delta t\\\\290=\dfrac{1}{2}(0+vi).10\\\\vi=58~m/s=\boxed{\bold{208.8~km/h}}[/tex]

1. An atom has 6 protons, 6 neutrons, and 6 electrons. What is the charge of the
atom's nucleus?

A.+6
B.+12
C.-6
D.-18

Answers

Answer:

+6

+6

+6

+6

+6

+6answer given

thanks

Which hypothesis is testable using a scientific experiment?
A. A fried egg is better than a hard-boiled egg.
B. Brown eggs are more attractive than white eggs.
C. Eggs with large yolks are more expensive than eggs with small
yolks.
D. You can boil an egg faster at high altitudes than at sea level.

Answers

D is the only testable hypotheses using a scientific experiment

what is the mass of an atom if it has 11 protons, 12 neutrons, and 11 electrons

A,22, B.23, C34, D 11

Answers

Answer:

23, B

Explanation:

The mass of an atom is determined by the number of Protons + Neutrons. Here, if we assume the units is AMU (Which means the mass unit for a proton and neutron would be basically 1), the answer would be 11 + 12 = 23 AMU, which is B.

Answer:

B) 23

Explanation:

Relative Mass = number of protons + number of neutrons

Relative Mass = 11 + 12

Relative Mass = 23

Calculate the volume of a rock that has a mass of 24 g and a density of 8 g/mL

Answers

Answer:

24g÷8g/ml=3

volume =3

2. Mixtures can be solid, liquid or gas. It can be homogeneous or
heterogeneous and are made up of two or more components. Which of
the following mixtures where components are not visible??​

Answers

Answer:

A solution is a special type of homogeneous mixture where the ratio of solute to solvent remains the same throughout the solution and the particles are not visible with the naked eye, even if homogenised with multiple sources.

Explanation:

Mixtures can be either homogeneous or heterogeneous': a mixture in which constituents are distributed uniformly is called homogeneous, such as salt in water, otherwise it is called heterogeneous, such as sand in water.

Which of the following occurs when a liquid becomes a gas

Answers

Answer:

Boiling occurs when a liquid changes to a gas below its surface as well as at the surface. The temperature at which a liquid boils is called its boiling point. The opposite of vaporization is called condensation. Sublimation occurs when the surface particles of a solid gain enough energy that they form a gas.Boiling occurs when a liquid changes to a gas below its surface as well as at the surface. The temperature at which a liquid boils is called its boiling point. The opposite of vaporization is called condensation. Sublimation occurs when the surface particles of a solid gain enough energy that they form a gas.Boiling occurs when a liquid changes to a gas below its surface as well as at the surface. The temperature at which a liquid boils is called its boiling point. The opposite of vaporization is called condensation. Sublimation occurs when the surface particles of a solid gain enough energy that they form a gas.Boiling occurs when a liquid changes to a gas below its surface as well as at the surface. The temperature at which a liquid boils is called its boiling point. The opposite of vaporization is called condensation. Sublimation occurs when the surface particles of a solid gain enough energy that they form a gas.

Which of these processes are chemical reactions? Type the correct answer in each box.
Boiling an egg
Crushing spices
veges rotting
chopping veges
dew forming

Answers

boiling an egg

hope this helps

what are the strengths and weaknesses of the Mendeleev periodic table?

Answers

Answer:

Advantages:

1. Grouping of elements. He generalized the study of the elements then known to a study of mere 8 groups.

2. Gaps for undiscovered elements. Mendeleev left some gaps in his periodic table. These gaps were left for subsequent inclusion of elements not known at that time. He correctly thought that such elements would be discovered later.

3. Prediction of properties of undiscovered elements. He predicted the properties of then unknown elements om the basis of properties of elements lying adjacent to the vacant slots.

4. Incorrect masses corrected. He was able to correct the values of atomic mass of elements like gold and platinum by placing these elements strictly on the bases of similarities in their properties.

Disadvantages:

1. Anomalous pairs: Argon with atomic mass 39.9 precedes potassium with atomic mass 39.1.

Cobalt with atomic mass 58.9 precedes nickel with atomic mass 58.6.

Tellurium with atomic mass 127.6 precedes iodine with atomic mass 126.9.

2. Position of isotopes: According to Mendeleev's periodic law, isotopes of an element must be given separate places in the periodic table since they have different atomic masses. But they were not assigned separate places.

3.Grouping of chemically dissimilar elements: Elements such as copper and silver bear no resemblance to alkali metals but they have placed in separate groups.

4.Separation of chemically similar elements: Elements that are chemically similar, such as gold and platinum have been placed in separate groups.

5.Electron arrangement: It does not explain the electron arrangement of elements.

6. Position of Hydrogen: It was not given in a fixed position.Explanation:

The Mendeleev periodic table has strengths in its predictive power, organization of elements, and observation of periodic trends. However, it has weaknesses in incomplete representation, limited understanding of atomic structure, and challenges in placing rare earth elements.

The Mendeleev periodic table, developed by Dmitri Mendeleev in the 19th century, laid the foundation for the modern periodic table. It has several strengths and weaknesses, which are outlined below:

Strengths of the Mendeleev periodic table:

Predictive Power: One of the major strengths of the Mendeleev periodic table is its ability to predict the existence and properties of yet-to-be-discovered elements. Mendeleev left gaps in the periodic table, accurately predicting the properties of elements that were later discovered and filled in those positions.

Periodic Trends: The Mendeleev periodic table organizes elements in a way that allows for the observation of periodic trends. Elements within the same group (vertical column) exhibit similar chemical properties and have similar valence electron configurations. This periodicity helps in understanding the behavior and reactivity of elements.

Classification of Elements: The Mendeleev periodic table classifies elements based on their atomic number and chemical properties. It provides a systematic arrangement of elements, allowing scientists to organize and study them more efficiently.

Weaknesses of the Mendeleev periodic table:

Incomplete Representation: The Mendeleev periodic table, when initially proposed, had gaps for undiscovered elements. While Mendeleev made accurate predictions, some of the gaps were filled in later with elements that did not necessarily match the properties initially predicted. This incomplete representation can be seen as a weakness.

Limited Understanding of Atomic Structure: At the time of Mendeleev's development of the periodic table, the understanding of atomic structure was incomplete. The periodic table was based on elemental properties without the knowledge of atomic numbers or the electron configuration of elements. This limitation hindered the ability to explain certain observed trends and properties accurately.

Lack of Internal Structure: The Mendeleev periodic table did not provide a detailed understanding of the internal structure of atoms or the arrangement of electrons in energy levels. It primarily focused on organizing elements based on their chemical properties and atomic weights, lacking the underlying atomic structure information.

Rare Earth Element Placement: Mendeleev faced challenges in placing the rare earth elements in the periodic table. Initially, he grouped them together as a separate series, but later refinements led to the placement of the rare earth elements within the main body of the table. The difficulty in organizing these elements reflects a weakness in the early understanding of their properties and arrangement.

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6. What is one way a star with much more mass than the sun can end up?
white dwarf
red giant
neutron star
red dwarf

Answers

Red dwarf is the answer

Answer:

neutron star

Explanation:

A massive star (More massive than the star) will undergo a supernova explosion. If the remnant of the explosion is 1.4 to about 3 times as massive as our Sun, it will become a neutron star. The core of a massive star that has more than roughly 3 times the mass of our Sun after the explosion will do something quite different

if the gas has a volume of 20 L at a temperature of 25 Celsius what is the volume of the gas when it is heated to 100°C if the pressure remains constant

Answers

Answer:

i have no idea

Explanation:

lol

Answer:

this has to do with gas law

Explanation:

Charles law

v1=20

T1=25

V2=?

T2=100

hence V1/T1=V2/T2

V2=V1*T2/T1

V2=20*25/100

V2=5

How do homes lose thermal energy?
I need TWO reasons on why we want to reduce the thermal loose.​

Answers

Answer:

Poorly insulated attics, windows not being insulated in the winter

Explanation:

One reason is so we do not get cold in the winter and the reason we have a home is to protect us from the weather or put a shelter above us. Second reason is so we don't get hypothermia in the winter time.

I think colloids are
heterogeneous
because ____________
___________________​

Answers

the particles do not dissolve completely..

find the oxidation number of carbon in MgCO3​

Answers

Answer: +2

Explanation: Formula of oxide is MgO, because oxidation state of Mg in MgCO3 is +2.

12. A 100.00-gram sample of naturally occurring boron
contains 19.78 grams of boron-10 (atomic mass =
10.01 atomic mass units) and 80.22 grams of
boron-11 (atomic mass = 11.01 atomic mass units).
Which numerical setup can be used to determine the
atomic mass of naturally occurring boron?
A) (0.1978)(10.01) + (0.8022)(11.01)
B) (0.8022)(10.01) + (0.1978)(11.01)
C) (0.1978)(10.01)/(0.8022)(11.01)
D) (0.8022)(10.01)/(0.1978)(11.01)

Answers

It’s A) (0.1978)(10.01) + (0.8022)(11.01)

Relative and average atomic mass both describe properties of an element related to its different isotopes. Out of these two Relative atomic mas is more accurate. Therefore option A is correct option.

What is mass?

Mass defines the quantity of a substance. It is measured in gram or kilogram. Average mass is the mass of atoms of an element that are isotopes. It can be calculated by multiplying mass of a isotope to natural abundance of that isotope.

Mathematically,

average atomic mass=  ∑(relative abundance x mass of isotope)

average atomic mass boron= (relative abundance boron-10  x mass of isotope boron-10)+(relative abundance boron-11  x mass of isotope boron-11 )

average atomic mass boron=(0.1978)(10.01) + (0.8022)(11.01)

Therefore option A is correct option.

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Obi is trying to determine if a powdery, solid substance is an element or a compound. After recording some observations, he strongly heats a sample of the solid over a burner flame. After fifteen minutes, he turns off the flame and allows the sample to cool. He records his final observations in the data table.

Which is the best explanation of his results?

The heating changed some of the sample to gas, causing the mass to decrease without breaking down the sample. Therefore, the original sample is a compound.
The appearance stayed the same, showing that the sample was not broken down by heating. Therefore, the original substance is an element.
The mass decreased during heating and some of the impurities escaped. Therefore, the original substance is an element.
The chemical reaction with acid changed, showing that the sample was broken down by heating. Therefore, the original substance is a compound

Answers

Answer: I am thinking C maybe.

Explanation: I don't if this is right but I think it is C.

Answer:

D

Explanation:

Took the test on edge...

Explain what intermolecular forces are, and how they are easily overcome.

Answers

Explanation:

Intermolecular forces are forces that exist between two or more molecules and they can be overcome at high temperatures.

A dark blue beaker labeled 100 millimeters Y has an arrow leading to a pale blue beaker labeled 99 millimeters H subscript 2 O. This has an arrow leading to a white beaker labeled 99 millimeters H subscript 2 O. Each arrow has a label 1 milliliter over it. The dark blue beaker has a box below it labeled Beaker number 1. The pale blue beaker has a box below it labeled Beaker number 2. The white beaker has a box below it labeled beaker number 3.
Does taking 1 mL of solution Y (pure bleach) out of the first beaker change the solution’s concentration?

What would the concentration of the second beaker be?

If Beaker #2 is a 1% solution of Y, and Beaker #3 is 1/100th of that in the final solution, what percentage solution would Beaker #3 be?

Answers

Answer:

3, 5, 1000

Explanation:

I took the test.

Answer:The first one would be 3

The second is 5

And the last one is 1000

Explanation:

What do these two changes have in common?
using a large magnet to remove pieces of iron from a junkyard
rain forming in a cloud
Select all that apply.
Both are caused by heating.
Both are only physical changes.
Both conserve mass.
Both are chemical changes.

Answers

Answer: Both are only physical changes.

Explanation:

Both are only physical changes.  

• The material, which takes part in the change is structurally similar after and before the change is known as the physical change.  

• The cloud formation is a physical change as when evaporation of water takes place  it goes into the air and produces cloud by the process of condensation. The same water goes back to earth by the process of precipitation and this get repeated again and again.  

• A chemical change takes place when formation of new substance takes place by combining two substances. In the case, when a magnet picks up iron in a junkyard, one is still having an iron and a magnet, no formation of substance is taking place. So it is a physical change.  

Thus, both the given processes are examples of only physical changes.

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Electron Dot Structures

Draw the electron dot structures for the following elements:

Magnesium (Mg)


Lithium (Li)


Argon (Ar)


Carbon (C)


Sulfur (S)


Helium (He)


Aluminum (Al)


Nitrogen (N)


Silicon (Si)


Hydrogen (H)


Calcium (Ca)


Neon (Ne)


Potassium (K)


Boron (B)


Chlorine (Cl)

Answers

Answer:

surf (S)

tide (T)

champion (C)

Explanation:

wag mo nlng pansinin

How many fluorine atoms are present in 6.30 g of C2F4

Answers

Fluorine atoms = 1.517 x 10²³

Further explanation

The mole is the number of particles contained in a substance

1 mol = 6.02.10²³

Moles can also be determined from the amount of substance mass and its molar mass

[tex]\large{\boxed{\boxed{\bold{mol=\frac{mass}{molar\:mass}}}}[/tex]

Proust stated the Comparative Law that compounds are formed from elements with the same Mass Comparison so that the compound has a fixed composition of elements

Mass of F

[tex]\tt mass~F=\dfrac{4.Ar~F}{MW~C_2F_4}\times mass~C_2F_4\\\\mass~F=\dfrac{4.19}{100}\times 6.3=4.788~gr[/tex]

mol of F

[tex]\tt =\dfrac{4.788}{19}=0.252[/tex]

number of Fluorine atoms

[tex]\tt 0.252\times 6.02\times 10^{23}=1.517\times 10^{23}[/tex]

Match each label below with the appropriate term. Note: there may be more than one correct answer.

nonbonding electrons
sigma bond
represents two electrons

Answers

Answer: sigma bond

Represents two electrons

Explanation:

E2020

Answer:

Sigma Bond AND Represents two electrons.

Explanation:

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