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3 years ago

11

Keisha spent 45 minutes at soccer practice on Monday and n minutes on Tuesday write an expression that represents the number of

minutes she practiced soccer

2 answers:

Vlad1618 [11]3 years ago

3 0

It would be 45+n as an expression

valkas [14]3 years ago

3 0

45+n=total number of minutes Keisha practiced soccer on Monday and Tuesday.

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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

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

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3 years ago

The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of

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Answer:

4

Step-by-step explanation:

devide 144 by 9

get 16

The base squared is 16

find the root of 16

get 4

4 is your awnser

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2 years ago

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The answer is easy
So we need to fund m2NLM
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2 years ago

Help and plz show work! No links! Hurry!!!!!

malfutka [58]

Answer:

good you got the answer

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write out steps on how to solve 21.4divided by 4.75

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

21.4÷4.75

First- you have to move the decimal placement two times to the right
Second- you have to put the number 21.4 under the dividing box
Third- put the number 4.75 out to the left of the decimal box
Fourth- when that's all completed you have to multiply the 475. until you get clos to the number 2140.
Fifth- once done you have to subtract the multiplied number that you get you then subtract it from 2140
Sixth- you keep on doing the fifth step until you get a reasonable answer
Seventh- you write the answer down
Eighth- there is no eighth step so you can stop reading this answer

Your welcome from Stonestreet181 and have a good day

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3 years ago