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3 years ago

Plato math algebra 2

Mathematics

2 answers:

Bas_tet [7]3 years ago

8 0

Answer:

do you have algebra 2 for plato as well

Step-by-step explanation:

wel3 years ago

3 0

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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

Grant spent 2.50,$4.00,$4.25, and $3.25?On breakfast one week.The next week he spent $6 more in total for the 4 breakfasts than

masha68 [24]

We have been given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast in one week. The next week he spent $6 more in total for the 4 breakfasts than the week before. We are asked to find increase in the mean of second week.

Since Grant spent $6 more than last week, we will divide 6 by 4 to get how much mean of second week breakfast expenditures increased with respect to first week expenditures.

$\text{Mean increase in second week breakfast expenditure}=\frac{6}{4}$

$\text{Mean increase in second week breakfast expenditure}=1.5$

Therefore, mean of second week breakfast expenditure will be $1.5 more than first week.

3 0

2 years ago

4/5 y = 8 , how do we solve pls help fast its urgent, I will mark u brainliest

Butoxors [25]

Answer:

y = 10

Step-by-step explanation:

4/5 y = 8

4/5 y * 5/4 = 8 * 5/4 multiply by reciprocal

y = 10

4 0

3 years ago

Read 2 more answers

Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receiv

hram777 [196]

Answer:

P(N = n) = $(1-P)^{n-1} \times P$

Step-by-step explanation:

to find out

Find the PMF PN (n)

solution

PN (n)

here N is random variable

and n is the number of times

so here N random variable is denote by the same package that is N (P)

so here

probability of N is

P(N ) = Ф ( N = n) .................. 1

here n is = 1, 2,3, 4,...................... and so on

so that here P(N = n) will be

P(N = n) = $(1-P)^{n-1} \times P$

4 0

2 years ago

A Baker decorates 42 cupcakes in 30 minutes she decorates cupcakes at a constant rate how many cupcakes can the baker decorate p

Morgarella [4.7K]

The baker can decorate
42/30,
which would mean 42 cupcakes in 30 minutes,
and then you would get
1.4 cupcakes per minute.

Hope this helps and have a nice day:)

8 0

3 years ago

Read 2 more answers