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2 years ago

In the diagram below, NO is parallel to K L. If KN = 7, NO = 10, and

Mathematics

1 answer:

Vesnalui [34]2 years ago

3 0

<h3>Answer: 14</h3>

=====================================================

Work Shown:

$\frac{\text{KM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{\text{KN}+\text{NM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{7+x}{x} = \frac{15}{10}\\\\10(7+x) = 15x\\\\$

$70+10x = 15x\\\\70 = 15x-10x\\\\5x = 70\\\\x = \frac{70}{5}\\\\x = 14\\\\\text{NM} = 14$

Side note: The triangles are similar, which allows us to set up the proportion in step 1.

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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

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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

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The <em>integrating factor </em>is

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Multiplying both sides of the equation by the integrating factor

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Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

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But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

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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

PLS HELP ! Will give brainliest

Darina [25.2K]

Answer:

Step-by-step explanation:

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$ax^{2} + bx +c = 0$

Using this information and the information provided in the image we can plug in the quadratic equation values in the image to form the quadratic formula.

$\frac{-(-20)±\sqrt{(-20)^{2} - 4(16)(-6) } }{2(16)}$

That would be the correct order for the values.

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3 years ago

since this was my first time you guys are in for a treat .... FREE POINTS answer question " 1+0 " don't for get to friend me :)

ollegr [7]

Answer:

Step-by-step explanation:

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3 years ago

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Morgarella [4.7K]

Hey there,
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3 years ago

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WARRIOR [948]

Answer:

My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.

Step-by-step explanation:

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3 years ago

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