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3 years ago

Can some please help me with this one it would be much appreciated

Mathematics

1 answer:

kherson [118]3 years ago

7 0

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.

Step-by-step explanation:

Given

$r=9$ mi

Ф = 60°

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9

lorasvet [3.4K]

Using the asymptote concept, we have that:

The vertical asymptote is x = 9.

The horizontal asymptote is y = 3.

The end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{3x}{x - 9}$

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3$

Hence, the end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0

2 years ago

21) PLEASE HELP WITH QUESTION. WILL MARK BRAINLIEST + POINTS.

LenKa [72]

8
Suppose f(x) = ----------
sqrt(x)
8
What if we let x = 16 (just an example)? We'd get f(16) = ------------- = 2.
sqrt(16)

What if we let x = g(x) = 2x+4?

We'd get the following:

8
f(g(x)) = -------------- = y
sqrt(2x+4)

So...the correct answer is the fourth one.

5 0

3 years ago

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o

natita [175]

Answer:

$x\geq 29,000$ and $x\leq 41,000$

Step-by-step explanation:

Let

x -----> the altitude of a commercial aircraft

we know that

The expression " A minimum altitude of 29,000 feet" is equal to

$x\geq 29,000$

All real numbers greater than or equal to 29,000 ft

The expression " A maximum altitude of 41,000 feet" is equal to

$x\leq 41,000$

All real numbers less than or equal to 41,000 ft

therefore

The compound inequality is equal to

$x\geq 29,000$ and $x\leq 41,000$

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval ------> [29,000,41,000]

5 0

3 years ago

The chart shows Daniela’s run through her race.

Nutka1998 [239]

So it would be c the

8 0

3 years ago

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data.

professor190 [17]

Answer:

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data in millions of dollars. Given that these are the top 10 salaries, do we know anything about the salaries of TV personalities in general? Are such top 10 lists valuable for gaining insight into the larger population?

38.438.4 35.335.3 35.935.9 26.126.1 15.115.1 13.313.3 11.211.2 10.710.7 9.59.5 8.28.2

Step-by-step explanation:

8 0

3 years ago