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Vsevolod [243]
3 years ago
7

What is the exact quotient in decimal form of 1÷6

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

0.1666667

Step-by-step explanation:

Since the sequence of 6's is infinite, we just round it to 7.

We get 0.1666666667

or 0.166666666666...

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For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

#SPJ1

5 0
2 years ago
When a conditional and it’s converse are true, you can combine them a true ____.
Viktor [21]

Answer:

I think B. but thats me

Step-by-step explanation:

8 0
4 years ago
Sue chooses a dress to wear when she goes out with her parents, but she can wear it only if her parents approve. The probability
Sophie [7]
12%

40% = 0.4
30 = 0.3

0.3 x 0.4 = 0.12

0.12 = 12%

4 0
3 years ago
What will be the value of his account in 5 years if he does not make any additional deposits or withdrawals?​
marishachu [46]

Answer:

$5,805.92

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP!
RUDIKE [14]

3x^2 + 23x - 8 can be factored into (3x - 1)(x + 8). To double-check, you can multiply the terms together again using FOIL: first, outside, inside, last.


(3x)(x) + (3x)(8) + (-1)(x) + (-1)(8)


3x² + 24x - x - 8


3x² + 23x - 8


Check.

8 0
3 years ago
Read 2 more answers
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