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Leya [2.2K]
3 years ago
14

in a talent competition, half of the contestants are eliminated in each round. At the end of the nth round, 32 contestants remai

n. If there were 1,024 contestants at the start of the competition, what is the value of n?
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
 Here, first tern is 1024, common ratio = 1/2 and last term = 32

32 = 1024((1/2)^n
(1/2)^n = 32/1024 = 1/32
(1/2)^n = (1/2)^5

Therefore, n = 5
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(5x10^7)(6x10^4) in scientific notation
Ratling [72]

Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Step-by-step explanation:

5 0
3 years ago
When the polynomial is written in standard form, what are the values of the leading coefficeient and the constant? 5x + 2 - 3x2
Elina [12.6K]

Answer:

The leading coefficient is -3

The constant is 2

Step-by-step explanation:

The standard form of a polynomial is the descending order, that means that it must be written according from its higher power, down straight to the coefficient with no variable.

Hence, the leading coefficient is the one that is next to the highest exponent of the polynomial, in this case: =3x2.

The second term is 5x

And the last is 2. the constant

7 0
3 years ago
Identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
AnnyKZ [126]

Using it's concepts, it is found that for the function f(x) = \frac{5x}{x - 25}:

  • The vertical asymptote of the function is x = 25.
  • The horizontal asymptote is y = 5. Hence the end behavior is that y \rightarrow 5 when x \rightarrow \infty.

<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. They also give the end behavior of a function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}

For the vertical asymptote, it is given by:

x - 25 = 0 -> x = 25.

The horizontal asymptote is given by:

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

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

#SPJ1

8 0
1 year ago
A = 9 m, b = 4 m and c = 13 m for the triangle shown below.
maw [93]
The answer is 9 shown below a b c triangle shown below ⬇️
7 0
2 years ago
A transformation T: (x, y) (x + 3, y + 1). For the ordered pair (4, 3), enter its preimage point. (-1, 2) (1, 2) (7, 4)
Aleksandr-060686 [28]

Answer:

(1,2)

Step-by-step explanation:

we know that

The rule of the transformation is equal to

(x, y)  ------> (x + 3, y + 1)

Pre-image -----> Image

(x, y)  ------> (4, 3)

so

x+3=4 ----> x=4-3=1

y+1=3 ---> y=3-1=2

therefore

The pre-image is the point (1,2)

6 0
3 years ago
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