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.
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 .
Contains elements carbon, hydrogen and oxygen, the empirical formula of butanedion is C2H3O and its molar mass is 86.09% find its empirical formula
Answer:
Molecular formula = C₄H₆O₂
Explanation:
Given data:
Empirical formula of butanedion = C₂H₃O
Molar mass of butanedion = 86.09 g/mol
Molecular formula butanedion = ?
Solution:
Formula:
Molecular formula = n(empirical formula)
n = molar mass of compound / empirical formula mass
empirical formula mass = 2×12 +1.008×3 +1×16 = 43.024
n = 86.09 / 43.024
n = 2
Molecular formula = n (empirical formula)
Molecular formula = 2 (C₂H₃O)
Molecular formula = C₄H₆O₂
An aluminium atom has a mass number of 27 and a proton number of 13. How many neutrons does this aluminium atom contain?
Explanation:
14 neutrons
Explanation: The mass number is the total number of protons and neutrons in a nucleus. The atomic number is the number of protons in the nucleus. →27−13=14 neutrons!
3.6 x 10-6 in standard notation.
Answer: 0.000036
Explanation:The standard form is just the normal method of depicting a number. To get from scientific notation to standard form, you would multiply the number from the scientific notation by the increasing / decreasing factor (10n). When the factor decreases, the 10 is raised to a negative power and the decimal moves to the left n amount of times (example the
10−5 moves your decimal in 3.6 over to the left 5 times leaving you with 0.000036). The opposite is true for increasing factors.
3.6 x 10⁻⁶ in standard notation is 0.0000036.
Standard notation refers to the conventional symbols, terms, and formats used to represent mathematical, musical, scientific, or other technical concepts.
Scientific notation is a way to express very large or very small numbers using powers of 10. It is commonly used in scientific and mathematical calculations to represent numbers that are too big or too small to be conveniently written in standard decimal notation.
To convert a number in scientific notation to standard notation, multiply the coefficient by the power of 10.
In 3.6 x 10⁻⁶, the coefficient is 3.6 and the exponent is -6.
To convert it to standard notation:
3.6 x 10⁻⁶ = 0.0000036
To learn more about the standard notation, follow the link:
https://brainly.com/question/29069315
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What happens to the tape at the closer markers compared to the markers that are further away?
Is fire considered matter
Answer:
Fire is a state of matter
Explanation:
Fire is the fourth state if matter called plasma fire is one of thr naturally occuring plasmas we have in existance on earth!
Write the difference between isomerism and allotropy with one example each.
Answer:
hope it helps ..
Explanation:
Allotropes can be defined as different types of compounds made out of the same single element but in different chemical formulas and different arrangements. Isomers can be defined as the chemical compounds that have a similar molecular formula but with different structural formulae. Graphite and Diamond.
The Periodic Table of elements is arranged by:
O atomic mass
O number of neutrons
O number of electrons
O atomic number
Option D, atomic number is the correct answer
Answer:
D. Atomic Number
Explanation:
All of the elements in the periodic table are arranged according to their atomic number.
Science Graded Assignment Help. Extra points! Due by: 29th of October
Volume measurement is the best way to measure dry ingredients that may be too small to weigh accurately.
Answer:
uhhh hi
Explanation:
Summarize why error is important.
Answer:
To say to you that you've made a mistake
Explanation:
What is the first state of matter
Answer:
Plasma
Explanation:
Estimated to be 99.999% of the visible universe, cosmic plasma may be considered to be the first state of matter, that preceded the other states of matter in the history of the evolution of the Universe.
6. In our modern times, the atom can be subdivided into
A.) protons and electrons, only
B.) protons and neutrons, only
C.) protons, neutrons, and electrons, only
D.) neutrons and electrons, only
Answer:
C.) protons, neutrons, and electrons, only
Explanation:
According to the modern atomic theory, we can distinguish 2 parts in an atom:
The nucleus, where is the majority of the mass of the atom, that is, protons and neutronsThe external shell, where are the electrons.In a neutral atom, there are the same number of protons (positive charges) as electrons (negative charges).
During which phase of the moon do neap tides occur?
A: full
B: gibbous
C: new
D: quarter
Plz I need help I think it’s A plz tell me before time runs out
IT IS NOT A
the full moon is incorrect I just don know the right answer sorry
which natural disaster is most unpredictable?
Answer:
Explanation:
Earthquakes
Earthquakes: Nature's most unpredictable and one of her most devastating natural disasters.
Answer:
Earthquake
Explanation:
Because we have not discovered any high techto predict it, In 2011 a 9.0 earthquake hit the coast of Sendai they had no warning
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?
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
Math and science skills
Please answer
1.
|Predict|
2.
|Use variables|
3.
|Plan and conduct investigations|
4.
Draw conclusions
5.
Hypothesize
6.
Measure
7.
Classify and order
8.
Record and display data
9.
|Use time and space relationships|
10.
Use numbers
Answer:6
Explanation:
If a cube has an edge length of 0.843 cm what is the volume of the cube? (Answer should be 3 decimal places)
Answer:
0.600
Explanation:
Hope this helps!
A substance has an atomic number of 80 and a mass number of 178. How many protons does this atom have? How many neutrons does it have? How did you determine this? Write your answer in ACES format.
Answer:
Cite (source and evidence):
Explain:
Summarize:
Answer:
This atom has 80 protons and 98 neutrons.
Explanation:
All atoms are composed of a central nucleus in which there are positively charged particles, the protons, and neutrally charged particles, the neutrons, around which other negatively charged particles, called electrons, move.
The atomic number, identified with the letter Z, indicates the number of protons that are present in the nucleus of an atom. The atomic number defines the electronic configuration of the atom and allows the ordering of the different chemical elements in the periodic table.
If a substance has an atomic number of 80, this atom has 80 protons.
The mass number indicates the total number of particles in the nucleus, that is, the sum of protons and neutrons.
mass number = number of protons + number of neutrons
In this case you know that the mass number is 178 and number of protons is 80. Then
number of neutrons=mass number - number of protons
number of neutrons= 98
So this atom has 98 neutrons.
What unit do we measure force in?
Answer: Newton
Explanation:
The SI unit of force is the newton, symbol N. The base units relevant to force are: The metre, unit of length — symbol m. The kilogram, unit of mass — symbol kg.
PLEase help i will give brainliest
Consider the information provided in experiment #3 Figure 2. Three different variables are compared for C3H8 (propane) and H2O (water). The strength of the intermolecular forces are responsible for the behavior of the two compounds.
Identify the intermolecular force for the two compounds.
Which one is stronger?
Explain how the strength of intermolecular forces plays a role in at least two of the properties (volatility, boiling point, or surface tension) for C3H8 (propane) and H2O (water).
Cite evidence from the data to explain your reasoning.
Experiment #3: The student follows study #2 with a comparison of propane (C3H8) and water. Volatility is the tendency for a substance to vaporize and it was found that propane vaporizes quickly while water vaporized slowly. Surface tension is a physical property equal to the amount of force per unit area necessary to expand the surface of a liquid. It is this phenomenon which allows a water strider or lizard to run across the surface of water.
Answer:
what kind of school u doin? lol
What are covalent bonds
Answer:
A covalent bond, also called a molecular bond, is a chemical bond that involves the sharing of electron pairs between atoms. These electron pairs are known as shared pairs or bonding pairs, and the stable balance of attractive and repulsive forces between atoms, when they share electrons, is known as covalent bonding
How many atoms are present in 48.60 g ofMg
Answer: Explanation:
There are 6.02 x 10^23 atoms in 1 mol.
Which model represents an element?
Answer: Water. Earth. Fire. Air.
Explanation: the four nations lived together in harmony. Then, everything changed when the Fire Nation attacked. Only the Avatar, master of all four elements, could stop them, but when the world needed him most, he vanished. A hundred years passed and my brother and I discovered the new Avatar, an airbender named Aang. And although his airbending skills are great, he has a lot to learn before he's ready to save anyone. But I believe Aang can save the world."
What is the total number of protons, electrons, and neutrons found in one atom of
iron, Fe, with a mass number of 56?
Answer:
The most common atom of iron has 26 protons and 30 neutrons in its nucleus
which in the following best describe carbon
a high density
b. ductile
c. Conductive
d. brittle
HELPP PLEASE
Isotopes have different number of........... *
Protons
Electrons
Neutrons
Protons and Neutrons
Answer:
neutrons. they have the number of protons and electrons
What are some of the regulations about cell phone waste?
Are the regulations the same everywhere, which countries have different regulations?
New technology to reduce waste?
Pls and thank you!
What are some of the regulations about cell phone waste?
In general, companies take part in the responsibility of taking back the e-waste resulted from their products.
Are the regulations the same everywhere, which countries have different regulations?
In 2005, two important directives were published in the European Union. The first stipulates that: 1) all manufacturers selling electrical and electronic equipment in and to EU countries label the equipment to inform customers that it must be recycled and 2) make sure that their products are properly disposed of or recycled after the life cycle. The second requires manufacturers to eliminate or minimize the use of lead, mercury, hexavalent chromium, cadmium, polychrome and diphelin biphenyl ethers in electrical and electronic equipment sold in the EU after 1 July 2006.
New technology to reduce waste?
Companies are trying to reduce the amount of resources needed in order to create their products. One alternative is the modular smarthphones, which aims to reduce the amount of e-waste of the phone by only upgrading a few elements of hardware.
Which particle changes to create a new element?
A.proton
B.neutron
C.electron
Answer: A
Explanation:
what kind of rock requires heat and pressure to form?
A-sedimentary rock
b-igneous rock
c-clastic rock
d-metamorphic rock
Answer:
Sedimentary rock can change into metamorphic rock or into igneous rock. ... Igneous rock forms when magma cools and makes crystals. Magma is a hot liquid made of melted minerals. The minerals can form crystals when they cool.
Explanation:
answer: d-metamorphic rock