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tamaranim1 [39]
3 years ago
10

Help me out & I'll give Brainliest.

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

6+ 2

Step-by-step explanation:

x= 6

y= 2

hope it helps !!

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A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t
sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

\frac{dy}{dt}\ \alpha\  y(1-y)

\frac{dy}{dt}=ky(1-y)

where k is the constant of proportionality, dy/dt =  rate at which the rumor spreads

b)

\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}}  =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\

y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days

5 0
3 years ago
FIRST TO ANSWER WILL GET BRAINLIEST!
Marta_Voda [28]

Answer:

I think your answer would be 12x - 2

If this is wrong then im sorry

7 0
3 years ago
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3.5821568896×10−10 What does this equal?
lana [24]

Answer:

25.821568896

Step-by-step explanation:

3 0
3 years ago
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Graph the system of linear equations.<br> y = x + 5 and y = 2x + 2.
Oxana [17]
Graph using y=mx+b. The point of intersection is (3,8)

4 0
3 years ago
In a basketball game 15 of 20 foul shots that Michelle attempted were successful. What percent of her shots were not successful?
mestny [16]
<u>Work 1:</u>
   Successful Percent:

     15 divided by 20 equals .75
     .75 times 100 is equal to 75
     75%
   Not successful Percent:
     
100% minus 75% equals 25%
     <em>25%</em>
<u>Work 2:</u><u />
     20 minus 15 equals 5
     5 divided by 20 is equal to .25
     .25 times 100 is equal to 25
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