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lorasvet [3.4K]
2 years ago
11

17% of a city's population watch a local cable station. if 20,508 people watch the local cable station, how many people live in

that city? (round to the nearest whole number)
Mathematics
1 answer:
AveGali [126]2 years ago
6 0
The answer would be 120,635 people live in that city. Let me know if you want me to elaborate.
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A rare book was purchased for $200 and then it was sold for $400. What percent increase was that
hram777 [196]

Answer:

100% increase

Step-by-step explanation:

8 0
2 years ago
use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle
Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

\int_C9y^3dx-9x^3dy

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2

\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2

\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy

⇒ -27\int\int_D(x^2 + y^2)dx dy

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta

⇒ -27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta

⇒ -27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta

⇒ -27\int\limits^{2\pi}_0 (16/4) d\theta

⇒ -108\int\limits^{2\pi}_0 d\theta

⇒ -108[2\pi - 0]

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

#SPJ4

3 0
1 year ago
The length of the hypotenuse of a 30-60-90 triangle is 28 m. Find the length of the side opposite the 30 angle
____ [38]
The answer is 14 m

<span>In a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter leg (a) which is the opposite to the 30 angle:
</span>

c = 2a


We have c = 28 m

So: 28 = 2a

      a = 28 / 2 

     a = 14 m

7 0
3 years ago
Read 2 more answers
a moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. for a job of how many ho
nirvana33 [79]
800+16x=720+21x
80+16x=21x
80=5x
X=16
So 16 hours :)
3 0
3 years ago
6. Write an algebraic expression for the word phrase 5 times the product of x and y
Lena [83]

Answer:

5+x=y ,x-y=5,y-x=5,5-x=y,y+5=x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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