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2 years ago

Bill measures the circumference of a circular fish pond to be 28 ft.

2 answers:

5 0

9ft? to get the circumference, we multiply the diameter to pi, so all we need to do is divide 28 ÷ π, and round.

son4ous [18]2 years ago

5 0

9ft because to get circumference you multiply by π (pi or 3.14) so to get circumference you just do it the other way around like: 28 ➗π (3.14) = 8.91710... Which rounds to 9. So, the diameter is 9ft. I hope I helped and just message me if you need anything else!

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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

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

5 0

3 years ago

El diámetro de la ranura de la parte superior de un recipiente metálico es de 1.94 in ¿Cuál

zzz [600]

49.276 mm, (25.4 mm•x in) es la ecuación para convertir las pulgadas a milímetros

5 0

3 years ago

The motives for developing calculus in the 1700s were: A. problems in physics. B. problems in biology. C. problems in psychology

IRINA_888 [86]

Answer:

the answer is A

Step-by-step explanation:

5 0

2 years ago

Find the equation of the line passing through the points (3,-2) and (4,6) in slope intercept form.

noname [10]

Hey!

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They already give us the slope, so we can solve the y-intercept.

We can use (3, -2).

y = 8x + b

-2 = 8(3) + b

-2 = 24 + b

-2 - 24 = 24 + b - 24

-26 = b

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Hence, the answer is $\Large\boxed{\mathsf{y~=~8x~+~-26}}$

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Hope This Helped! Good Luck!

4 0

3 years ago

What is 142.34 divided by 24? And show work

max2010maxim [7]

142.34 divide by 24 will give you the answer of 593.083 ----> 

24 x 5 will equal 120 which is close to 142 then subtract 120 by 142 which will give you 22 then bring down the 3 and you will have 223 which 24 x 9 will give you 216 then subtract 223 -216 which gives you 74 then 24 x 3 = 72 then you add a decimal then a zero which is 20 then add another zero which is 200 then multiply 24 by 8 which is 192 and then subtract 200 by 192 and get 72 and then your answer will keep on going.

4 0

3 years ago