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3 years ago

What is the answers for expanded form 72.3 7.023 0.723

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

look below

Step-by-step explanation:

72.3 = 70 + 2 + .3

7.023 = 7 + .02 + .003

.723 = .7 + .02 + .003

Hopefully this helps you :)

pls mark brainlest ;)

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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

Graph this inequality on the number line.<br><br> x ≤ 2.6

pantera1 [17]

x ≤ 2.6 would look like this on the number line, the 2.6 part would be shaded in as well and not left open since x is less than OR EQUAL to 2.6

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2 years ago

Find the quotient of and express it in the simplest form

nirvana33 [79]

Answer:

No answer can be found

Step-by-step explanation:

There isn't any value to find and express in simplest form lol.

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2 years ago

There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write

ryzh [129]

Answer:

Step-by-step explanation:

f(x) =10 (20)=200

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2 years ago

Which of the following is a correct name for plane R below? * Which of the following is a correct name for plane R below? * plan

olga_2 [115]

Answer:

Plane SPT and Plane SPV

Step-by-step explanation:

A plane is defined by the set of three points lying on the same (two dimensional) surface.

A plane 'R' has been given in the picture.

Points lying on this plane or surface are S, P, T and V.

Therefore, possible names may be,

SPT, STV, SPV, PTV

From the given options names of the plane R will be,

Plane SPT and Plane SPV,

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3 years ago