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Elden [556K]
3 years ago
9

Please I need help with just 1 and 2 please!!!

Mathematics
1 answer:
jonny [76]3 years ago
7 0
The ratio of girls to boys is:
\frac{number \: of \: girls}{number  \: of \: boys}  =  \frac{10}{15}  =  \frac{2}{3}
the ratio of striped ties to to solid ties is:
\frac{number \: of \: striped \: ties}{number \: of \: solid \: ties} =  \frac{7}{21}   =  \frac{1}{3}
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artcher [175]
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4 years ago
A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 1 1/4 feet long. What is the maximum number of smaller pie
Neko [114]

Answer 4.6 ft

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

<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}

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3 years ago
Which pair of angles are congruent or supplementary
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Angles 1 and 3 are supplementary
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Need help please and thanks
Dennis_Churaev [7]
1 parallelogram
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