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2 years ago

Convert the following improper fractions into mixed numbers. 3 1/4

Mathematics

1 answer:

lara [203]2 years ago

8 0

Answer:

7 and 3/4

Step-by-step explanation:

31/4=7-3

the remainder is 3/4

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Lerok [7]

Answer:

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.

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2 years ago

H(x) = x -2<br> g(x) = 2x² – 3x<br> Find h(g(-2))

emmasim [6.3K]

Answer:

h[g(-2)] = 12

Step-by-step explanation:

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3 years ago

Read 2 more answers

What number do 7 6 3 and 5 go into(lcm)

laila [671]

Answer:

210

Step-by-step explanation:

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2 years ago

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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:

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