The volume of microbial culture is observed to increase according to the formula
V(m^3)=e^t
where t is time in seconds
a,calculate the expression for V(in^3) in terms of t(minute)
b,

Answers

Answer 1

The expression of V(m³)=e^(t(s)) to make V in in³ and t in minutes is;

V(in³) = (¹/₆₁₀₂₄)a[tex]e^{\frac{1}{60}bt(h)[/tex]

We are given that;

Volume of microbial culture is observed to increase according to the formula;

V = e^(t)

where;

t is in seconds

V is in m³

We want to now express V in in³ and t in minutes.

Now, from conversions;

1 m³ = 61024 in³

Also; 1 second = 1/60 minutes

according to formula for exponential decay, we know that;

V = ae^(bt)

Thus, we have;

61024V = ae^(¹/₆₀b(t(h))

V(in³) = (¹/₆₁₀₂₄)a[tex]e^{\frac{1}{60}bt(h)[/tex]

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Related Questions

A student borrows $60,000 for business school at 6.5% stated annual interest with equal monthly payments over 10 years. Consider this as a loan with no payments or interest during school so that the problem structure is equivalent to a standard loan received one period before the first payment. How much is the monthly payment?

Answers

Answer:

  $681.29

Explanation:

The amortization formula seems to apply. The monthly payment on a loan of P at rate r for t years is ...

  A = P(r/10)/(1 -(1 +r/12)^(-12t))

For the given loan parameters, the monthly payment is ...

  A = $60,000(0.065/12)/(1 -(1 +0.065/12)^(-12·10)) ≈ $681.29

The monthly payment is $681.29.

NO LINK plsssss just answer

1. What are some pendulum wave characteristics?

2. What are waves characteristics?

3. List characteristics that they both share

Answers

Answer:

Explanation:

The current standard for recovery only equipment is sae

Answers

Explanation:

I think is SAE standard J2810

How to find Catenary length in sag

Answers

Answer:

buter uwu heheheheh joke

how to study thermodynamics?​

Answers

It is study of the relationships between heat, temprature, work and energy

Thermodynamics is one of the few engineering courses that I would say are more conceptual than computaional. I can not emphasise how important it is to fully understand thermodynamic terminology and process. Once you understand those any problems can be easily worked out.

What I recommend is that you go through you thermodynamics book and read it carefully highlighting the important points and summarizing them in a spare notebook. The first few chapters are full of indroductory concepts such as the state of a system, processes, closed and open systems, etc. That I reccomend you memorize(with understanding ofcourse) as these are carried on all throughout.

As chapters get more complex I recommend flow charts and mind maps with as much condensed information as possible.
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The separation and purification process is used for which of the following purposes?
Household cleaning
Developing vaccines
Identifying chromosomes
Documenting chemical reactions

Answers

The separation and purification process is used for DEVELOPING VACCINES. The development of vaccines must follow strict guidelines.

A vaccine is a biological preparation used to protect against harmful diseases (e.g., viruses) in a simple and safe manner.

Vaccine purification is a strict process consisting of clarification, concentration and chromatography in order to separate the extract that contains the active principle of the vaccine.

The techniques used for vaccine filtration include membrane filtration, depth filtration and centrifugation.

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When is the output of a NAND-gate HIGH?​

Answers

Answer:

In digital electronics, a NAND gate (NOT-AND) is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results.

what's make oil boil?​

Answers

Answer: So long as the oils form a stable solution, you know that their chemical potentials (and hence vapor pressures) are lower in the mixture than they are separately. Hence the boiling point (the temperature where the total vapor pressure is 1 atmosphere) is raised above the value of the lowest of the constituents

All forms of energy can be transformed into what form of energy, often times as waste?

Answers

I think thermal energy. It tends to be the final form off all energy equations in physics.

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what was the main drawback of ford's assembly line
A.)the cars broke down quickly
B.)production of the cars required many hours of labor
C.) The cars required a lot of fuel to run
D.)production was not flexible​

Answers

Answer:

D. Im pretty sure at least. you're welcome

Cellular network towers are configured in such a way so that they avoid what type of problem?

Answers

avoiding OVERLAP issues

Answer:

They are configured this way to avoid overlap issues.

Explanation:

Special impact sockets and extensions are easily
identified because they are:
(A) chrome.
(B) aluminum.
(C) flat black
Durant la sto
(D) hard rubber.
les

Answers

Answer:

C

Explanation:

they are flat black

innovative ideas for civil engineering individual project? I'm running out of time. Need to submit and get approval for this. Please help me and give me a new title to research.
For an egsample- Investigation of replacing Ricehusk instead of Sand in C30, Like wise​

Answers

Answer:

Top Final year projects for civil engineering students

• Geographic Information System using Q-GIS. ...

• Structural and Foundation Analysis. ...

• Construction Project Management & Building Information Modeling. ...

• Tall Building Design. ...

• Seismic Design using SAP2000 & ETABS.

Explanation:

Hope it's help

Write matlab code for motion of a car first order system

Answers

Answer:

Vehicle Dynamics for use with MATLAB/Simulink (VDMS) is a lumped-parameter, 15 degrees-of-freedom vehicle simulation program that reads input files containing chassis, suspension kinematics and compliances, tire, driveline, and aerodynamic inputs.

Explanation:

hope it helps you

The example of using biotechnology in heart surgery is used to illustrate which of the
following points?
Even advances in biotechnology cannot save every life.
There are many life-saving benefits of biotechnology.
The ethical issues in biotechnology do not apply to surgical fields.
The cost of advances in biotechnology is too high to make this care available to
all.

Answers

Answer:

There are many life-saving benefits of biotechnology.

Explanation:

1. Declare a variable named num with an
initial value of 0. Create a while loop that
will print "Keep going" as long as the value
of num is less than 5. Use window.alert()
for displaying the output.
2. Create a function named showProd that
returns the product of n1 and n2.
3. Using the new keyword, create an array
named info with three (3) values: your first
name, your nickname, and your last name.

Answers

The code to

Declare a variable and increment with a while loop until the variable is not less than 5Create a function that returns the product of two numbersUses the new keyword to create an array

were written in JavaScript and are found in the attached images

Declaring a variable

The first code declares a variable called num and gives it an initial value of 0. It then enters a while loop that lauches a message box (using window.alert) to print the message "Keep going" as long as num remains less than 5.

If nothing is done within the loop to increment num towards the value 5, the loop will go on endlessly notifying the user to "Keep going".

So, an increment of 1 was added to the loop body to increment the variable num. This makes sure the loop terminates.

Creating a function that returns the product of two numbers

Here, a function was created that receives two arguments (n1  and n2), then returns the product (n1 * n2)

Declaring an Array

This last code segment creates an array using the new keyword. The new keyword is generally used in constructing objects.

In this case the object constructed is an array having three strings;

my first namemy nickname, andmy last name

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determine the values of the forces acting at A and B for the forces system​

Answers

Answer:

You forgot the image and or example. I mean the answer could be anything right now.

Discuss what is an ore.

Answers

Answer:

a naturally occurring solid material from which a metal or valuable mineral can be profitably extracted.

Explanation:

yw

Answer:

Ore is an accumulation of any mineral mixed with other elements. The mineral content of an ore must be in sufficient concentration to make its extraction commercially and economically viable.

Hope it helps.

If you have any query, feel free to ask.

Determine the mass density of an oil if 0.3 tonnes of the oil occupies a volume of 4m.

Answers

Answer:

Do you mean 4m^3 and 3.0 tones?

Explanation:

solution:

Mass = m = 3.0 tones

- 1 ton = 1,000 kg

= 3.0 × 1,000

= 3,000 kg

volume = v = 4m^3

Required:

Mass density of oil = p = ?

We know that;

[tex]p = \frac{mass}{volume} = \frac{m}{v} = \frac{3000}{4} = 750kg |m^{3} ans [/tex]

The answer is:

750kg / m^3

For flow of a liquid metal through a circular tube, the velocity and

temperature profiles are u(r)=2Um[1-(r/ro)2] and T(r) - Ts

= C2 [1 – (r/r0)2],respectively, where C2 is constant. What is the value of the Nusselt

number NuD at this location?

Answers

Answer:

Known: Form of the velocity and temperature profiles at a particular axial location for flow in a circular tube. Find: Nusselt number at the prescribed.

Explanation:

A stress of 2500 psi is applied to a polymer serving as a fastener in a complex assembly. At a constant strain, the stress drops to 2400 psi after 100 h. If the stress on the part must remain above 2100 psi in order for the part to function properly, determine the life of the assembly.

Answers

Very very hard to answer

Write the Boolean expression of the output (X) for the below Logic Diagram.

Answers

X= A+B.C+D

I hope it helps

A 100 MHz generator with Vg= 10/00 v and internal resistance 50 ohms air line that is 3.6m and terminated in a 25+j25 ohm load

Answers

The value of Vz at point z from the generator  = 17.748 ∠ -107.62°  V

Given data :

Internal resistance = 50 ohms

Vg = 10 ∠ 0° v

length of air line = 3.6 m

Terminating resistance = 25 + j25 Ω

First step : Determine the Total impedance

Total Impedance ( z ) = Rin + Rline + Rl + jXl

                                   = 50 + 50 + 25 + j25  

                                   = 125 + j25  ≈ 127.47 ∠ 11.3°

Next step : Determine the current in the circuit

current ( I ) = Vg / z

                  =  ( 10∠0° v ) / ( 127.47 ∠ 11.3° )

                 = 0.0784 ∠ -11.3  amp

Final step : Determine the value of Vz at point z from the generator

Vz = ( Vg + I * Ri ) - ( RI * I + Rline * I )

    = ( 10∠0° + 0.0784 ∠ -11.3  * 50 ) - ( 25 + j25  + 50 * 0.0784 ∠ -11.3 )

    = -5.37 - j16.91  ≈  17.748 ∠ -107.62°  V

Hence we can conclude that the value of Vz at point z form the generator 17.748 ∠ -107.62°  V

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Hello your question is incomplete below is the complete question

A 100 MHz generator with Vg =10< 0 degree (v) and internal resistance 50-ohm is connected to a lossless 50-ohm air line that is 3.6m long and terminated in a 25+j25 (ohm) load.

Find (a) V(z) at a location z from the generate.

When a tensile specimen is stretched in the plastic region to an engineering strain of 0.2, calculate the amount of cold work percent.

Answers

Answer:

0.2 x 100

Explanation:

Engineering strain is the original crossection/original crossection

cold work percentage is

original crossection/original crossection x 100

9. An automobile's oxygen sensor output needs
to be checked. Technician A uses a digital
voltmeter to check this sensor's output.
Technician B uses an analog ohmmeter to
check this sensor's output. Who is right?
(A) A only.
(B) B only.
(C) Both A and B.
(D) Neither A nor B.

Answers

Answer:

the answer is Letter C

Explanation:

DON'T TRULY TRUST ME PLEASE..

How many shift pulses would be required to serially shift the contents of one five-stage register to another five-stage register

Answers

Answer:

  5

Explanation:

One pulse is required for each bit to be moved.

5 pulses are required.

The product of two factors is 4,500. If one of the factors is 90, which is the other factor?

Answers

The other factor is 50
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Fresh ideas or title to be researched for civil engineering individual final project for diploma students also can extend the topic later while doing degree as well? please help me I'm running out of time...​

Answers

Answer:

What type of projects do civil engineers work on?  

Civil engineers design major transportation projects. Civil engineers conceive, design, build, supervise, operate, construct and maintain infrastructure projects and systems in the public and private sector, including roads, buildings, airports, tunnels, dams, bridges, and systems for water supply and sewage treatment

Explanation:

A periodic digital waveform has a pulse width 25 and a period of 150 . Determine the frequency and the duty cycle

Answers

The frequency  is 6.67 kHz and the duty cycle is:16.67%.

Frequency and duty cycle

Given:

Pulse width=25

Period=150

Frequency:

Frequency=1/(150×10^-6)

Frequency=1/0.00015

Frequency=6.666 kHz

Frequency=6.67 kHz (Approximately)

Duty cycle:

Duty cycle=(25×10^-6)/ (150×10^-6)×100%

Duty cycle=16.67%

Therefore the frequency  is 6.67 kHz and the duty cycle is:16.67%.

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i) A sag vertical curve is to be designed to join a 4% grade to a 2% grade. If the design
speed is 50 mi/h, determine the minimum length of the curve. Assume a = 11 ft /sec2 and
perception-reaction time = 2.5 sec. Consider the following criteria:
a) Stopping sight distance
b) Comfort

Answers

Answer:

=4/5 because I'm not going to go back in a year meaning that they are you are

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