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3 years ago

. What is the equation for the asymptote of the function f(x)=2^x?

1 answer:

4 0

The functin f(x) = 2^x is an exponential function.

It does not have vertical asymptotes because the function is defined for all the real values.

To find the horizontal asymptotes calculate the limits when the function grows positively and negatively.

The limif of 2^x when x goes to + infinity is infinity so there is not asymptote to this side.

The limit of 2^x when x goes to - infinity is 0, so y = 0 is an asymptote.

Answer: the equation for the asymptote is y = 0.

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How do you solve q-12=1

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Add 12 to both sides of the equal sign, then simplify.

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On a given day 32 out of 220 people were selected for

Lena [83]

Answer:74

Step-by-step explanation: first you need to find the ratio so divide 220 by 32 to get 6.875 then didvide 510 by that same number and you will get 74. 18181818 but 74 because you can’t have a fraction of a person

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3 years ago

An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

$\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85$

Therefore, the height of the airplane above the tower is 1,819.85 feet.

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3 years ago

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

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3 years ago

The product of 3p and q - 3.

shusha [124]

The product of 3p and q-3 would be put in to equation form like this: 3p(q-3)

To find your answer. You have to distribute the 3p to by individually multiplying it by q and -3

It should now look like this: $3pq -9p$

So your answer is: $3pq -9p$

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4 years ago