Concert 5/11 to a decimal using long division.

Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

Answer:

2.2

Step-by-step explanation:

so you do it like this:

Since the fraction is 5/11 you take the demoniator which is 11 and you divide it by 5.

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Please explain for what values of x is function g(x) continuous if it is defined by.

Bond [772]

Using the continuity concept, it is found that the function is continuous for all real values.

<h3>What is the continuity concept?</h3>

A function f(x) is continuous at x = a if it is defined at x = a, and:

$\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)$

In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.

Then:

$f(0) = 0^2 - 1 = -1$ .

$\lim_{x \rightarrow 0^-} = \lim_{x \rightarrow 0} x^2 - 1 = 0^2 - 1 = -1$ .

$\lim_{x \rightarrow 0^+} = \lim_{x \rightarrow 0} \frac{1}{x - 1} = \frac{1}{0 - 1} = -1$ .

The 3 values are equal, hence the function is continuous at x = 0 and for all real values.

More can be learned about the continuity of a function at brainly.com/question/24637240

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5 0

2 years ago

The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level

Paul [167]

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}$