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3 years ago

A 50- centimeter piece of wire in bent into a circle. What is the area of this circle

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

50cm would be the circumference.

Formule for circumference is:

C=2(pi)r

Solve for radius:

50=2(pi)r

r=50/2(pi)

r=7.96

Use this to solve for area

A=(pi)r^2

A=(pi)(7.96)^2

A=199cm

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how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extr

yuradex [85]

Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

Computation:

Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

x = 4.5 L

Amount water added = 4.5 L

6 0

3 years ago

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. 1 if she eats 2 servings of granola, how many c

Minchanka [31]

700 calories

1750 divided by 5 is 350

multiply that by two and you get 700

6 0

4 years ago

Read 2 more answers

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

4 years ago

Select the correct answer.

NeX [460]

Answer:

C. Wright Mills

Step-by-step explanation:

was the American sociologist who strongly criticized the structural functionalist approach to sociology.

8 0

2 years ago

Anyoneeee??????????

leva [86]

Your answer will be D

As y = -(x+2)(x-1)

Thus the external negative sign will flip the positive 2 into a negative & negative 1 into a positive; Resulting, y=(x-2)(x+1)

7 0

3 years ago

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