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2 years ago

6. Matthew paid a total of 568.00 for 8 pepperoni pizzas. What is the unit rate, in dollars, for a

Mathematics

2 answers:

AfilCa [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Solnce55 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

cs i said so.

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Which of the following statements it’s true?

guapka [62]

Answer:

Step-by-step explanation:

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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

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The integrating factor 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

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

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3 years ago

What is a coordinar plane

Mars2501 [29]

The plane determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the coordinate plane can be specified by an ordered pair of numbers.

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2 years ago

There are 5 red pens and 10 black pens in a cup. If a person randomly selects 3 of them, what is the probability that they're al

kolbaska11 [484]

Answer:

option a)

0.286

Step-by-step explanation:

Given that,

number of red pens in cup = 5

number of black pens in cup = 10

number of pen randomly selected = 3

There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.

probability of having all red pens = (5/15 x 4/14 x 3/13)

= 2/91

probability of having all black pens = (10/15 x 9/14 x 8/13)

= 24/91

probability that all pen are of same colour = 24/91 + 2/91

= 2/7

≈ 0.286

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3 years ago

Find the equation of the line specified. The line passes through the points

marishachu [46]

Answer:

Step-by-step explanation:

substitute (2,1) and (5,4) into each equation

2-1=1 and 5-4=1 so c is correct

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3 years ago

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