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Anni [7]
3 years ago
6

Find two consecutive integers whose sum is 93. (Show work)

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.

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It is a straight line


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3 years ago
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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
12x^3-11x^2+9x+18 divided by 4x+3
atroni [7]
12x^3-11x^2+9x+18 divided by 4x+3

put he division into fraction

12x^3-11x^2+9x+18/4 x +3

reduced fraction by 2

12x^3-11x^2+9x+9/2 x +3

calculate sum

12x^3-11x^2+27/2 x +3
that is your answer ^

hope this helps :)
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2 years ago
Complete the conversion <br> 45 ft = ____yd
ASHA 777 [7]

Answer:

15 yards

Step-by-step explanation:

5 0
2 years ago
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sveta [45]

Answer:

N< 10 and N>4

Step-by-step explanation:

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+2. +2 ÷3. ÷3

6n - 7 > 17. =. 6n > 24. =. N > 4

+7. +7. ÷ 6. ÷ 6

8 0
3 years ago
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