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3 years ago

Please help! :( i don't know what to do!

Mathematics

2 answers:

tigry1 [53]3 years ago

8 0

Answer:

it is to small to see sorry

Alex_Xolod [135]3 years ago

7 0

Answer:

Step-by-step explanation:

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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.

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

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

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

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

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

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

Use the formula d=rt Find t for r = 48.3 m/h and d = 545.79 m.

djyliett [7]

D = 545.79
r = 48.3

Plug in numbers to corresponding variables

545.79 = t(48.3)

Isolate the t, divide 48.3 from both sides

(545.79)/48.3 = 48.3t/48.3

t = 545.79/48.3
t = 11.3

t = A) 11.3 h

hope this helps

8 0

2 years ago

Which number line represents the expression 7 + (−3) + (−2) +4?

vekshin1

The <u>answer would be 6</u>. The number line which shows you the number 6 or any solution for 6 would be your answer.

3 0

3 years ago

Solve for x<br> Please help

Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

4. By Pythagorean theorem, x^2=81-36=25, x=5

5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4 $\sqrt{2}$ . (the ratio is 1:1: $\sqrt{2}$ by Pythagorean theorem)

6. Like Question #5, the ratio is 1:1: $\sqrt{2}$ since it is an isosceles triangle, the leg is 8.

4 0

3 years ago

a six sided die is rolled 15 times with these results (1,1) (2,3) (3,4) (4,4) (5,1) (6,2) what is the experimental probabilitly

GenaCL600 [577]

Answer:

seems to easy to be true but the answer is 7/12 cause it's a fraction and it can't be simplified

5 0

2 years ago