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:
Explanation:
\(n=f(t)= \frac{a}{(1+be^{-.9t})}\)
At t = 0
30 = \(\frac{a}{1 + b }\)
30 + 30 b = a
\(\frac{dn}{dt} =f(t)= \frac{-.9abe^{-.9t}}{(1+be^{-.9t})^2}\)
For t = o
\(\frac{dn}{dt} =f(t)= \frac{.9ab}{(1+b)^2}\)
given
24 = \(\frac{.9ab}{(1+b)^2}\)
24 = \(\frac{30\times.9b }{1+b}\)
24 = 27b / 1 + b
24 + 24 b = 27 b
24 = 3 b
b = 8
a = 30 + 30 x 8 = 270
\(n=f(t)= \frac{a}{(1+be^{-.9t})}\)
Put t = infinity
n = a = 270
So at infinite time yeast population will stabilise at number 270 .
Related Questions
What Element am I?
I have 6 Valence Electrons.
I am in the third row.
My atomic mass is less than Selenium , but it is more than Oxygen. I need the answer ASAP
Answers
Answer:
The correct answer is - sulfur.
Explanation:
In the periodic table, there are 18 groups and 7 rows or periods arranged according to their atomic number or electronic configuration. In the question, it is mentioned that the desired element atomic mass is less than the atomic mass of the selenium which is 78.96, and more than oxygen which is 15.99 with 6 electron valence and present in the third row.
As it has 6 valency of electron it must be in the 16 group of the table that comprises the 6 valency and as it is located in the 3rd row it must be sulfur that also has an atomic mass between selenium and oxygen.
In an oxidation-reduction reaction, oxidation is what happens when a reactant
loses electrons
. Reduction occurs when a reactant
gains electrons
in the reaction.
Answers
2. why is it not possible to make a standardized solution of sodium hydroxide by directly determining the mass solid sodium hydroxide?
Answers
It is not possible to make a standardized solution of sodium hydroxide by directly determining the mass of solid sodium hydroxide because sodium hydroxide is hygroscopic, which means it readily absorbs moisture from the air. This property makes it difficult to accurately determine the exact mass of pure sodium hydroxide without it being contaminated by water.
When sodium hydroxide comes into contact with moisture, it undergoes a chemical reaction called hydrolysis, where it reacts with water to form sodium hydroxide solution. This reaction can occur even at normal atmospheric conditions, leading to the formation of a solution with a different concentration than the one intended.
To create a standardized solution, it is necessary to precisely measure the amount of sodium hydroxide and water separately, ensuring that the exact amount of solute (sodium hydroxide) is dissolved in the exact amount of solvent (water). This allows for accurate determination of the concentration of the resulting solution.
However, if you do have solid sodium hydroxide and need to make a standardized solution, you can still do so by employing indirect methods.
One common approach is to use a primary standard, such as an acid of known concentration (e.g., hydrochloric acid), to titrate against the sodium hydroxide solution. By measuring the amount of acid required to neutralize the sodium hydroxide, you can calculate the concentration of the sodium hydroxide solution.
Overall, the hygroscopic nature of sodium hydroxide makes it challenging to directly determine the mass of solid sodium hydroxide accurately, necessitating alternative methods for preparing standardized solutions.
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Convert 7.5 pounds into kilograms. (1 pound = 454 g, 1kg = 1000 g )
Answers
What molecule(s) could diffuse across the plasma membrane? question 31 options: disaccharides fe2 tryptophan amino acid ch4
Answers
The molecule that could diffuse across the plasma membrane is methane (CH4).
What is diffusion?Diffusion is the movement of fluids or substances from regions of high concentration toward regions of lower concentration.
The plasma membrane is the semipermeable membrane that surrounds the cytoplasm of a cell. The semipermeability means that it allows some molecules through but blocks other substances.
The semipermeable plasma membrane readily allows the passage of small hydrophobic and polar molecules.
Therefore, the molecule that could diffuse across the plasma membrane is methane (CH4).
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Are my answers correct?
Answers
Answer: yes
Explanation: its common sense
Why do you think many metals are good at conducting electricity?
Hurry, please!!!
Answers
CHEMISTRY 50 POINTSS!!
The electron configuration of an element is shown below.
1s2 2s2 2p6 3s2 3p6
Name the group this element belongs to in the periodic table and explain your answer.
Based on the electron configuration, write one chemical property of this element.
Answers
Answer: Group 18, non-reactive noble gas
Explanation:
This electron configuration denotes the elements Argon. It is at the end of the 3p subshell and we can tell this because it says 6 for the value in 3p. This element is in group 18 and something important about that group is that they are typically non-reactive gases, because they have a full electron shell.
Group 18
non-reactive noble gas
Could anyone just suggest questions to practice using Faraday's Law?
Answers
Answer:
just to get points
Explanation:
You're paid $25 per hour for your job. How much would you earn in cents per second?
Answers
Answer:
0.694 cents per second
Explanation:
25x100=2500 cents per hour, 2500/60 = 41.67 per minute and 41.67/60=0.694 cents per second
When alkaline hydrolysis was first invented what jobs were people hiring to do?
Answers
When alkaline hydrolysis was first invented, people were hired for various roles related to the process and implementation of this technology. Some of the jobs that emerged include Chemical engineers, Technicians and operators, Waste management specialists, Scientists and researchers.
Chemical engineers: These professionals played a crucial role in developing and optimizing the alkaline hydrolysis process. They were responsible for designing the equipment, developing the necessary chemical reactions, and ensuring the efficient operation of the system.
Technicians and operators: Skilled technicians and operators were hired to operate and maintain the alkaline hydrolysis equipment. They were trained to monitor the process parameters, handle the chemicals involved, and ensure the proper functioning of the system.
Waste management specialists: With the introduction of alkaline hydrolysis as a method for disposal of organic waste, specialized professionals in waste management were employed to oversee the proper handling and treatment of the waste materials. They were responsible for implementing safety protocols, managing waste streams, and complying with environmental regulations.
Scientists and researchers: Alkaline hydrolysis required scientific expertise for continuous improvement and innovation. Scientists and researchers were hired to study the process, analyze the results, and explore potential applications in various fields such as biofuel production and chemical synthesis.
Overall, the introduction of alkaline hydrolysis created employment opportunities for professionals in engineering, chemistry, waste management, and research, among others, as this technology gained recognition and adoption.
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how many d-electrons are associated with the central metal ion in the complex: na2[cdcl4]? group of answer choices
Answers
The number of d-electrons associated with the central metal ion in the complex is 10.
In the complex Na2[CdCl4], the central metal ion is Cd (Cadmium).
Cadmium is in group 12 of the periodic table and has the electron configuration [Kr] 4d10 5s2.
The oxidation state of cadmium in the complex Na2[CdCl4] is;
Na2[CdCl4]
+2 + x + 4(-1) = 0
x = +2
Therefore, the central metal ion in the complex Na2[CdCl4] is Cd2+.
Since it forms a complex with a -2 charge, it loses 2 electrons from the 5s orbital.
Therefore, Cd2+ has a d10 electron configuration, meaning that all of its d orbitals are completely filled with electrons.
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The following statements concern techniques used in the Titrationsexperiment. Select all the correct answers below.
a. If you rinse your buret with DI water, butdo not condition with the titrant solution, the effect is...
a decrease in the volume of the titrantrequired to reach the end point.
an increase in the volume of the titrantrequired to reach the end point.
an underestimation of the number ofmoles of analyte present.
an overestimation of the number of molesof analyte present.
Answers
During a Titration experiment, it is crucial to follow proper procedures and take necessary precautions to ensure accurate and reliable results.
In a titration experiment, there are several factors that can influence the results. Here, we will discuss two statements: an increase in the volume of the titrant required to reach the end point, and an overestimation of the number of moles of analyte present.
1. An increase in the volume of the titrant required to reach the end point: This can occur due to various reasons, such as a low concentration of the titrant or a slow addition of the titrant. To ensure accurate results, it is crucial to use the correct concentration of the titrant and to add it at an appropriate rate.
An increase in titrant volume can lead to inaccurate results, as the endpoint may be surpassed, causing over-titration.
2. An overestimation of the number of moles of analyte present: This error can arise due to several factors, such as inaccuracies in the initial measurements of the analyte, errors in the titration procedure, or issues with the detection of the endpoint.
To minimize overestimation, ensure that the initial measurements are accurate, follow the proper titration procedure, and use appropriate indicators or detection methods to identify the endpoint accurately.
In summary, during a titration experiment, it is crucial to follow proper procedures and take necessary precautions to ensure accurate and reliable results. This includes using the correct concentrations, adding titrants at appropriate rates, ensuring accurate initial measurements, and employing suitable endpoint detection methods.
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What do you think
about the Civil Rights
Movement?
Answers
which object would require the most amount of energy, or force, to set it to motion?
a. school bus
b. refrigerator
c. microwave
d. houseplant
Answers
Explanation: a school bus is huge and heavy there for setting it in motion would take a lot of work
Rank the following aqueous solutions from lowest predicted boiling point to highest: In the case of solutions containing aqueous ions, assume there is no ion clustering in the solution:
1. 1.67 mCHOH
2. 0.530 mNa2SO4
3. 0.475 mK3PO4
4. 0.907 mKBr
5. 0.722 mNH4NO3
a. highest
b. lowest
Answers
The order of the aqueous solutions from the lowest boiling point to the highest highest is :
NH₄NO₃ < Na₂SO₄ < CH₃OH < KBr < K₃PO₄
The highest the concentration of the solute particles , the higher the boiling point.
The dissociation of the K₃PO₄ is :
K₃PO₄ ---> 3K⁺ + PO₄³⁻
The molarity of the K₃PO₄ = 0.475 M
The molarity of the ions = 4 × 0.475 M
The molarity of the ions = 1.9 M
Thus the K₃PO₄ is the highest boiling point.
The order of the boiling point from the lowest to the highest boiling point is as follows :
NH₄NO₃ < Na₂SO₄ < CH₃OH < KBr < K₃PO₄
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Is the ability to burn a physical or chemical property?
Answers
Answer: This is the process of chemical change. Examples of chemical properties are flammability (a material's ability to burn in the presence of oxygen) and reactivity (how easily a material combines chemically with other materials).
Explanation: Chemical properties are properties that can be measured or observed only when matter undergoes a change to become an entirely different kind of matter. They include reactivity, flammability, and the ability to rust. ... Flammability is the ability of matter to burn. Burning of wood is a chemical change as new substances which cannot be changed back (e.g. carbon dioxide) are formed. For example, if wood is burned in a fireplace, there is not wood anymore but ash. ... Special details which do not change in a substance without new substances being formed are called physical properties.
Answer:
chemical property
Explanation:
How can I solve this using a T chart
Answers
Answer:
The answer to your question is given below
Explanation:
The balanced equation for the reaction is given below:
2KClO₃ —> 2KCl + 3O₂
From the balanced equation above,
2 moles of KClO₃ decomposed to produce 2 moles of KCl and 3 moles of O₂.
Next, we shall determine the number of mole of KClO₃ that will decompose to produce 9 moles of O₂. This can be obtained as follow:
From the balanced equation above,
2 moles of KClO₃ decomposed to produce 3 moles of O₂.
Therefore, Xmol of KClO₃ will decompose to produce 9 moles of O₂ i.e
Xmol of KClO₃ = (2 × 9)/3
Xmol of KClO₃ = 6 moles
Thus, 6 moles of KClO₃ is needed for the reaction.
Next, we shall determine the number of mole KCl that will be produced by the decomposition of 6 moles of KClO₃. This can be obtained as follow:
From the balanced equation above,
2 moles of KClO₃ decomposed to produce 2 moles of KCl.
Therefore, 6 moles of KClO₃ will also decompose to produce 6 moles of KCl.
Finally we shall represent the reaction in a chart as illustrated below:
2KClO₃ —> 2KCl + 3O₂
6 moles —> 6 moles | 9 moles
draw an atomic model from1 to 20 elements with their symbol valency and electronic configuration
Answers
Answer:
MARK AS THE BRAINLIEST ANSWER
Explanation:
BRAINLIEST
little help plz? Determine which of the following is the correct equilibrium expression for the chemical reaction: Answer choices are below.
Answers
Answer:
Kc = [CaO] [O2] / [CaCO3]
Explanation:
Equilibrium constant, Kc is simply defined as the ratio of the concentration of products raised to their coefficient to the concentration of the reactants raised to their coefficient.
Thus, we can write the equation for the equilibrium constant, Kc for the reaction given in the question above as follow:
CaCO3(s) <==> CaO(s) + O2(g)
Kc = [CaO] [O2] / [CaCO3]
Question 2 Multiple Choice Worth 3 points)
(02.04 MC)
Which of the following is a reasonable ground-state electron configuration?
O 1s21p62d2
O 1s22s42p6
O 1s22s22p6
O 1s22s22d6
Answers
Answer: Answer is: 1s22s22p5.
1) Electron configuration 1s²1p⁶2d², this is not reasonable because 1p and 2d oritals do not exist.
2) Electron configuration 1s²2s⁴2p⁶, this is not reasonable because s orbitals only contain 2 electrons.
3) Electron configuration 1s²2s²2p⁵ is of an element fluorine. Fluorine (F) has atomic number 9, which means it has 9 protons and 9 electrons.
4) Electron configuration 1s²2s²2d⁶, this is not reasonable because 2d orbitals do not exist.
Without consulting Appendix B, arrange each group in order of decreasing standard molar entropy (S°). Explain.(b) Hexane (C₆H₁₄ ), benzene (C₆H₆), cyclohexane ( C₆H₁₂)
Answers
C6H14 > C6H12 > C6H6 Standard molar entropy has to do with the number of atoms that are present in each of the species. The greater the number of atoms possessed by the species, the higher the value of the standard molar entropy due to a greater number of vibration modes.
Keep in mind that while all solids are made of metals and that entropy reduces in the following order: gas, liquid, solid, molar entropy increases from top to bottom in a group as the size of the metal increases, so Ba > Ca > Mg.
Benzene (C6H6), cyclohexane (C6H14), and hexane (C6H12).
If all are liquid, the molar entropy falls as the compound's size rises.
Hexane comes before cyclohexane and benzene.
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The following properties are either physical or chemical. Which one is different from the
rest based on those two categories?
Answers
A substance's ability to be observed or measured without altering its identity is referred to as its physical property. How successfully a substance can undergo a specific chemical transition is determined by its chemical characteristic.
What separates chemical characteristics from physical characteristics?A substance's ability to be observed or measured without altering its identity is referred to as its physical property. Physical characteristics might include things like color, density, hardness, melting, and boiling points, among other things. How successfully a substance can undergo a specific chemical transition is determined by its chemical characteristic.
What can be categorized into groups based on their chemical and physical traits?Based on their physical and chemical properties, materials can be grouped. Matter is anything that has mass and space. It is possible to mix any solid, liquid, and gas. When a substance changes from one state of matter to another without changing its chemical composition, a physical transition takes place.
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Describe one way in which advances in space technology have improved our understanding of objects in space.
Answers
Answer:
Technology helps us in many ways.
Explanation:
We can now research the world even more effectively and at a higher level of sophistication thanks to technological advancements. Telescopes, on the other hand, enable us to peer into the far corners of the universe and detect very large objects such as stars. Electron microscope enable us to see smaller objects such as cells and organisms.
Write an argument for the people of Westfield identifying the reddish-brown substance
Answers
Answer:
lol
Explanation:
what compounds form when DMSO reacts with oxygen
Answers
Dimethylsulfide forms when DMSO reacts with oxygen.
What are oxidation reactions?
Oxidation reactions are reactions in which a compound or element reacts with oxygen to form an oxidized product.
In an oxidation reaction, the oxidation number of one of the compound that reacts increases.
In the reaction of DMSO with oxygen, dimethylsulfoxide is oxidized to dimethylsulfide.
In conclusion, the oxidation of dimethylsulfoxide yields an oxidized product.
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How many liters of wine can be held in a wine barrel whose capacity is 30.0 gal? You had been given a new penny to test if it is made up of pure copper or not. You measured the mass of the penny which was 2.49 g. You then find that the penny displaces 0.349 cm3 of water. Is the penny made of pure copper? (Density of pure copper = 8.96 g/cm3)
Answers
The first step in this calculation is to know how many liters is equal to 1 gallon, and the value is 3.785 liters, so now we have to make the following calculation:
1 gal = 3.785 Liters
30.0 gal = x Liters
x = 3.785 * 30.0
x = 114 Liters
What could happen if a person conducts an investigation but doesn't follow the steps of
the scientific method?
Answers
The action of investigating something or someone; formal or systematic examination or research.
There are five main steps involved in the scientific method: stating the problem, forming the hypothesis, collecting the data by observing and experimenting, interpreting these data, and drawing conclusions.Define a Question to Investigate. As scientists conduct their research, they make observations and collect data. ...Make Predictions. Based on their research and observations, scientists will often come up with a hypothesis. ...Gather Data. ...Analyze the Data. ...Draw Conclusions.Scientific investigation is a quest to find the answer to a question using the scientific method. In turn, the scientific method is a systematic process that involves using measurable observations to formulate, test or modify a hypothesis. Finally, a hypothesis is a proposed explanation for some observed phenomenon, based on experience or research.Scientific investigation is what people like you and me use to develop better models and explanations for the world around them.
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Pls help it's urgent list the 118 element and their uses
Answers
Oganesson is a synthetic chemical element with the symbol Og and atomic number 118
Oganesson (Og), a transuranium element that occupies position 118 in the periodic table and is one of the noble gases.
A very radioactive metal that has only ever produced a small number of atoms. It is currently only utilised for research. It plays no recognised biological function.
What is an element ?A chemical element is a species of atoms, including the pure substance made entirely of that species, that have a specific number of protons in their nuclei. Chemical elements, unlike chemical compounds, cannot be reduced by any chemical reaction into simpler molecules.
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Add the missing words !! (Provided is the lines and it signifies the number of words) 1.) It is the composition of all compounds -> _ _ _ _ _ 2.) It describes the crystals of ionic solids -> _ _ _ _ _ 3.) What is shared unequally in a polar bond? -> _ _ _ _ _ _ _ _ 4.) Number of shared electrons in N2 -> _ _ _ 5.) What happens to electrons in the formation of ionic bonds? -> _ _ _ _ _ _ _ _ 6.) What are these intermolecular forces that caused low melting and boiling points? -> _ _ _ _ 7.) What must be added to break bonds? -> _ _ _ _ _ _
Answers
Answer:
1. Atoms
3. Electrons
4. 3 pairs
5. Complete transfer of electrons
6. London dispersion forces
7. Energy
Explanation:
Atoms are the building block from which a compound is formed so we can say that composition of compounds depends on type of atoms. Electrons are shared unequally in a polar bond due to difference in electronegativity values of bonded atoms. There are 3 pairs of electrons are shared in nitrogen molecule. The transfer of electrons occurs from one atom to another in the formation of ionic bonds. London dispersion forces are the intermolecular forces that is responsible for the low melting and boiling points of a molecule or compound. Energy is needed to break the bonds that is present between the two bonded atoms.