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3 years ago

8

Please help me... triangle congruence

2 answers:

faltersainse [42]3 years ago

8 0

Answer:

SSS conguent

hope it helps

serious [3.7K]3 years ago

7 0

Answer:

SSS congret

Step-by-step explanation:

i really hope it helped!

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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

Help with this pls and thank u

stira [4]

Answer:

where is the question plsss tell me what you ask

8 0

3 years ago

An employee at a department store is stocking cell phone cases. He has a box of 80 cases. Among the 80 cases, 40 are black, 10 a

Salsk061 [2.6K]

Answer:

$\sf \dfrac{203}{4108}$

As a decimal = 0.05 (nearest hundredth)

Step-by-step explanation:

$\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}$

First pick:

$\sf \implies P(pink)=\dfrac{30}{80}$

As the case is NOT replaced, second pick:

$\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}$

As the case is NOT replaced, third pick:

$\sf \implies P(pink)=\dfrac{29-1}{79-1}=\dfrac{28}{78}$

Therefore,

$\sf \implies P(pink \ and \ pink \ and \ pink)=\dfrac{30}{80} \times \dfrac{29}{79} \times \dfrac{28}{78}=\dfrac{203}{4108}$

Answer as a decimal = 0.05 (nearest hundredth)

6 0

2 years ago

An adult takes 400mg of vitamin c. Each hour, the amount of vitamin c in the person’s system decreases by about 29%. How much vi

nekit [7.7K]

Answer:

1

Step-by-step explanation:

5 0

3 years ago

Solve the equation: 5/6x - 10 = 1/3(x - 15)

Harlamova29_29 [7]

Answer:

X =10

Step-by-step explanation:

If you have a scientific calculator that can help you a lot.

I will upload a picture you can follow to solve this problem.

4 0

3 years ago