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dimulka [17.4K]
4 years ago
12

PLZ HELP! Need this QUICK! Thx so much! (

Mathematics
1 answer:
Semenov [28]4 years ago
5 0

Answer:

2, 5, 8

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 assum
Ivan

Answer:

Differential equation

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

Solution

y=\frac{1}{1+4e^{-0.327t}}

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

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

Solving the differential equation

\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}

Initial conditions:

y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48

The rumor reaches 80% at 8.48 days.

8 0
3 years ago
Fernando bought 8 pints of milk. How many fluid ounces of milk did Fernando buy?
nordsb [41]

Answer: 128 fluid ounces

Step-by-step explanation:

First and foremost, we need to realize that:

1 pint = 16 ounces

Therefore, since Fernando bought 8 pints of milk, to convert it to ounces, we just have to multiply 16 by 8. This will be:

= 16 ounces × 8

= 128 ounces

3 0
4 years ago
Read 2 more answers
Is 18×<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1" title=" \frac{4}{5} " alt=" \frac{4}{5} "
Elden [556K]
Fraction means  a part of something

we see
18 times a fraction is bigger or smaller or equal to 18

18 times a fraction means take a part ouf of 18
in this case
18 times 4/5=72/5=14.4
14.4 is less than 18
when  you take a fraction of something, it becomes smaller, like if you take a slice of pizza or a fraction of the pizza, it becomes smaller

lesss
8 0
3 years ago
What is the least number of party favors Madison should make
Tatiana [17]
The correct answer is b.24
3 0
3 years ago
Read 2 more answers
Can someone help me with this question?
meriva
Whenever you have __% more of something and want to find the new value, first convert the percent to a decimal. Then multiply the original value by (1.00+that decimal). 

You have 6480 kg of sugar. 75%=0.75. If you want 75% more sugar, you would want 6480*(1.00+0.75) = 6480*(1.75) = 11,340 kg of sugar.
5 0
3 years ago
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