4. The distance from lan's home to the museum
1 answer:
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The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.
Step-by-step explanation:
The given is,
A new virus with a decay rate of 19% per hour
They start with 300 viruses
Step:1
Formula to calculate the viruses at decay rate,
............................(1)
Where, y - No of viruses after given time
A - Viruses at initial stage
r - Decay rate
t - No. of hours
From the given,
A = 300
r = 19% per hour
t = 7 hours
Equation (1) becomes,
Viruses of 7 hours ≅ 69 viruses
( or )
Step:1
For 1st hour,
= (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )
= (300)-(300 × 0.19)
= 300 - 57
= 243
For 2nd hour,
= (243)-(243 × 0.19)
= 243 - 46.17
= 196.83
For 3rd hour,
= (196.83)-(196.83 × 0.19)
= 196.83 - 37.39
= 159.4323
For 4th hour,
= (159.4323)-(159.4323 × 0.19)
= 159.4323 - 30.2921
= 129.1402
For 5th hour,
= (129.1402)-(129.1402 × 0.19)
= 129.1402 - 24.5366
= 104.6035
For 6th hour,
= ( 104.6035)-( 104.6035 × 0.19)
= 104.6035 - 19.8747
= 84.7288
For 7th hour,
= (84.7288)-(84.7288 × 0.19)
= 84.7288 - 16.0984
= 68.63 viruses
Result:
The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.
The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3
Option A is the correct answer.
<h3>What are Function?</h3>Function are mathematical statement which links an independent variable to dependent variable.
It always comes with a defined domain and range.
The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is
This function can also be written as
Vertical asymptotes are defined when the denominator of a rational function tends to zero.
To find the equation/s let the denominator equal zero.
Denominator tends to zero for x = -2 and x = +2
Horizontal Asymptote is when the function f(x) is tending to zero.
for x = +∞ and x = - ∞
Let the rational function where and a and b are degree of numerator and denominator.
If a < b , then the y axis y = 0 is a horizontal asymptote.
If b = a then horizontal asymptote is the line y = p/q
Here the value is b = 2 and a = 2
Since b = a the horizontal asymptote is the line
y = m/n where m = 3 and n = 1
Therefore y = 3
So , vertical asymptotes x = - 2, 2
Horizontal asymptotes y = 3
Option A is the correct answer.
To know more about Function
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