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Levart [38]
3 years ago
5

10 points slope of (-2,-4) and (6,7) (explain)

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

11/-8

Step-by-step explanation:

-2-6=-8

-4-7=11

then flip

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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
Yesterday, 20 guests at a hotel called for room service, and 60 guests did not call for room service. What percentage of the gue
Neko [114]

33.3% is the answer, I think

20/60 ---> 1/3, covert this to a percentage and it equals 33.3%

6 0
2 years ago
A bag contains 15 15 red candies, 15 15 yellow candies, and 15 15 blue candies. what is the probability of randomly choosing two
Wittaler [7]
Based on my calculations, this would be 10%.
4 0
3 years ago
Read 2 more answers
The city library donated some children’s books to Mr.
azamat

According to the statement 160 books were given to the class.

The correct option is C.

<h3>What is linear equation?</h3>

One or two variables make up a linear equation. Neither the numerator nor the denominator of a fraction can be a variable in a linear equation raised to a power higher than 1. All of the points on a coordinate grid sit on the same line when you identify the values that together make a linear equation true and plot those values.

<h3>According to the given information:</h3>

Let the no. of students be s:

Let the no. of books be b:

Given that there will be 20 books left after each student selects 4 books,

b = 4s + 20

And the remaining students take 5 books each, therefore b=5(s3), even if 3 pupils choose not to take a book.

comparing the value b

4s+20=5(s−3)

4s+20=5s−15

s=20+15

s=35

To do this, change the value of s in b=4s+20 to what is shown below:

b=4(35)+20

b=140+20

b=160

160 books were given to the class.

To know more about linear equation visit:

brainly.com/question/766814

#SPJ4

5 0
1 year ago
A competition problem requires one hour to fully develop (write, proofread, edit, and typeset). This problem is then given to 30
Vsevolod [243]

Answer:

1250

Step-by-step explanation:

30,000/24

divide both sides by 24 to get 1250.

5 0
3 years ago
Read 2 more answers
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