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jarptica [38.1K]
3 years ago
6

It took Eduardo 8 hours to drive from buffalo, NY to new York city, a distance of about 400 miles. Find his average speed.

Mathematics
1 answer:
Liula [17]3 years ago
6 0
50 mph

Hope this helped!
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24 times *blank* =6<br><br> Someone please answer this I need help
kozerog [31]

Answer:

0.25

Step-by-step explanation:

0.25 x 24 = 6

3 0
2 years ago
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
2 years ago
-6-2b=-8. What's the answer
Ksivusya [100]

Answer: B = 1

Step-by-step explanation: The first step is to add 6 to both sides of the equation to get -2b = -2

You then divide both sides by negative 2 so you can get a positive

dividing both sides by negative 2 will leave you with 1b = 1

so

b = 1

8 0
2 years ago
What is 1*10^-4*4*10^4 answer in scientific notation
Elanso [62]

Answer: 4

Step-by-step explanation:

yes

7 0
3 years ago
Solve the equation for y <br><img src="https://tex.z-dn.net/?f=8%20%3D%203x%20%2B%206y" id="TexFormula1" title="8 = 3x + 6y" alt
Shalnov [3]

move variable to the left side and change its sign

-3x+8=6y

Move constant to the right side and change its sign

-3x=6y-8

Divide both sides of the equation by -3

x=-2y+8/3


7 0
3 years ago
Read 2 more answers
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