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2 years ago

The constraints of a problem are graphed below. What are vertices of the feasible region?

Mathematics

1 answer:

OleMash [197]2 years ago

8 0

Answer:

(0,0),(0,15),(20,25),(40,0)

Step-by-step explanation:

we know that

The feasible region is a quadrilateral

Let

A,B,C and D the vertices of the feasible region

see the attached figure

Observing the graph we have that

The coordinates of point A are (0,0)

The coordinates of point B are (0,15)

The coordinates of point C are (20,25)

The coordinates of point D are (40,0)

therefore

The answer is

(0,0),(0,15),(20,25),(40,0)

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Identify the conclusion of the conditional statement.

gogolik [260]

<h2>Answer:</h2>

The conclusion of the given conditional statement is:

You live in Arizona

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is a statement in which with the help of some valid hypothesis we can reach to a valid conclusion.

The conditional statement is written in the form:

If p then q

where p is the hypothesis of the statement

and q is the conclusion of the statement.

We are given a conditional statement as:

If you live in Phoenix, then you live in Arizona.

Here

Hypothesis-- You live in Phoenix

and Conclusion-- You live in Arizona

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3 years ago

Read 2 more answers

- If you divide a number by four and then add six, you<br> get eighteen. What is the number?

stiks02 [169]

Answer:

Step-by-step explanation:

Create an equation to represent this, where x is the unknown number.

$\frac{x}{4}$ + 6 = 18

Solve for x, by first subtracting 6 from both sides:

$\frac{x}{4}$ = 12

Multiply each side by 4:

x = 48

So, the number is 48

8 0

3 years ago

Read 2 more answers

PLEASE HELP, IM TIMED!!!!!!

Andru [333]

Answer:A,B,E

Step-by-step explanation:

7 0

3 years ago

Solve the equation <br> Answer options : y= 576 <br> Y= 16<br> Y=4 <br> Y=2

Maru [420]

Answer:

I believe the correct answer is option B

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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

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

5 0

3 years ago