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makkiz [27]
2 years ago
6

Please help please please help me help please

Mathematics
1 answer:
Alex17521 [72]2 years ago
7 0

Answer:

y = 9/10x - 7/5

Step-by-step explanation:

Slope = 9/10

Point (6,4)

y-intercept = 4 - (9/10)(6) = 4 - 54/10

= - 7/5

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One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the populatio
kenny6666 [7]

Answer:

Therefore , y= \frac{Ae^{kt}}{1+Ae^{kt} }

Step-by-step explanation:

The fraction of population who have heard rumor = y

The  fraction of population who haven't heard rumor = 1-y

The rate of of spread (y'(t)) is proportional to the product of the fraction of population who have heard rumor the fraction of population who have heard rumor.

Therefore

y'(t) ∝ y (1-y)

⇒ y'(t) =k y (1-y)   [ k = constant of proportional]

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

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

Integrating both sides

\Rightarrow \int\frac{dy}{y(1-y)}=\int k \ dt

\Rightarrow \int \frac{dy}{y}+\int\frac{dy}{1-y}=\int k \ dt              [\because \frac{1}{y(1-y}=\frac{1}{y}+\frac{1}{1-y} ]

\Rightarrow  ln \ y- ln \ |1-y| = kt +c      [ c = arbitrary constant]

\Rightarrow ln|\frac{y}{1-y}|=kt +c

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

\Rightarrow \frac{y}{1-y}= Ae^{kt}      [ Here e^c=A ]

\Rightarrow y = Ae^{kt}(1-y)

\Rightarrow y = Ae^{kt}-y Ae^{kt}

\Rightarrow y+y Ae^{kt} = Ae^{kt}

\Rightarrow y(1+Ae^{kt} )= Ae^{kt}

\Rightarrow y= \frac{Ae^{kt}}{1+Ae^{kt} }

Therefore , y= \frac{Ae^{kt}}{1+Ae^{kt} }

5 0
3 years ago
A rectangular parking lot has a perimeter of 310 meters. The length is 5 meters more than 4 times the width. What’s is the lengt
max2010maxim [7]

Answer:

w=30  l=125

Step-by-step explanation:

Perimeter =2l+2w

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4w+5 = length(4 times plus 5 the width)

2(4w+5) + 2w = 310

8w+10 = 2w =310

10w=300

w=30    

30*4=120    120+5=125    l=125

2(125)+ 2(30)=  250+60 =310

4 0
3 years ago
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Volgvan

Answer:

Step-by-step explanation:

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Câu 4.19 . Vi phân cấp hai của hàm L ( x ; y )
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