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3 years ago

Can someone help me solve. I'm not sure if I did it right.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

5 0

Answer:

X≤-8

Step-by-step explanation:

First use distributive property on right side so 37+3x<=-8-3x-3 so 37+3x<=-3x-11 so 6x<=-48 so X≤-8

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Write an equation to represent the following situation. Justin wants to earn 500 minutes on Khan Academy He currently has 120 mi

Alisiya [41]

Answer:

500=120+60

Variable would either be M or D For 60

Step-by-step explanation:

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3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

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3 years ago

The students claims that the model accurately describes the motion of the galaxies in the universe what evidence from the model

alexandr402 [8]

Answer: As the dough rises, the distance between the raisins increases, indicating that the galaxies are moving apart.

Step-by-step explanation:

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2 years ago

Can someone help me with this question?

Ilia_Sergeevich [38]

Step-by-step explanation:

hope it helps, I have chegg and they seem to have more answers and a lot of topics. you can scan your books bar code and get end of chapter questions

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2 years ago

What is the zero of the following function, f(x) = –(2/7) x − 10?

Stels [109]

Answer:

Step-by-step explanation:

the zeros of a function f are found by solving the equation f(x) = 0. Example 1. Find the zero of the linear function f is given by. f(x) = -2 x + 4 I hope this helps.

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3 years ago