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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The other factor is 50
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Answer:

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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:

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Answers

Answer:

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Explanation:

solution:

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The code to

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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?

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Answer:

  $681.29

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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

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First step : Determine the Total impedance

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

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Next step : Determine the current in the circuit

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

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    = ( 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.

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Answer:

the answer is Letter C

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