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Tcecarenko [31]

3 years ago

13

Each letter of the word "rainbow" has been written on a separate slip of paper and put into a box. Find the probability of selec

ting a slip of paper with a vowel on it, replacing it, then selecting the letter w?

1 answer:

prohojiy [21]3 years ago

3 0

Hshshshajhehwjqjwjehe

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Evaluate f(−3) for f(x)=2x2−x+5.

Natasha2012 [34]

Answer: -4

Step-by-step explanation:

2(-3)*2-(-3)+5= -4

7 0

3 years ago

Solve each linear system by Elimination. 2x + 3y =2, 4x-2y=4

KonstantinChe [14]

Answer:

Step-by-step explanation:

First, we will eliminate the x, so we multiply the first one by 2.

4x+6y=4

4x-2y=4

So, we have y=0, and we put that in the equations, so x is 1

7 0

2 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

<em>P(0) = 0 and P(50) = 1,500,000 </em>

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

so

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

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

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

5 0

3 years ago

The are of a rectangle is 24 square inches. The length is 6 inches and the width is w inches. How much longer is the length than

WINSTONCH [101]

Answer:

W = 4inches

Length is 2 inches longer then the width

Step-by-step explanation:

6x4=24inches

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3 years ago

Sharoda works at Diamond Jewellers. Her basic week of

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52-40 is 12 hours of overtime

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