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AnnZ [28]
3 years ago
13

Leyla drops a penny from a height of 150 m. How long will it take the penny to hit the ground?

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0
The h(t) at a certain period when the penny is dropped in the ground is zero. Substituting the known values in the equation will give us an expression of,
                                   0 = -4.9t² + 0 + 150
v₀ is zero in the assumption that the dropping is free. Solving for t of the equation,
                                          t = 5.53 seconds 
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Show all work to identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
Nina [5.8K]

Using the asymptote concept, it is found that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<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{5x}{x - 25}

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

#SPJ1

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If 5% of my stock is $70,000 what would 100% be?
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Answer:

never did this with big numbers but i will try lol! okay so  the word "is" means the number after that with be of the top. And the word "of" (and the nummber after that) will always be on the bottom. so remember is/of

Step-by-step explanation:

5% so you will have 5/100

IS $70,000 (70,000 will be on the top of your fraction)

and you know what ill just give you the dang answer LOL!

is your answer 1,400,000? if so thats the answer

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What is the domain and range of the graph?
I am Lyosha [343]

Answer:5/8

Step-by-step explanation:

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