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Archy [21]
3 years ago
5

Cellular phone service that charges per-minute will charge $5 for 50 minutes. How much would 1599 minutes cost?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

$159.9

Step-by-step explanation:

5/50=.10 cents

.10•1599=159.9

Answer $159.90

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Evaluate the limit with either L'Hôpital's rule or previously learned methods.lim Sin(x)- Tan(x)/ x^3x → 0
Vsevolod [243]

Answer:

\dfrac{-1}{6}

Step-by-step explanation:

Given the limit of a function expressed as \lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3}, to evaluate the following steps must be carried out.

Step 1: substitute x = 0 into the function

= \dfrac{sin(0)-tan(0)}{0^3}\\= \frac{0}{0} (indeterminate)

Step 2: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the function

= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ sin(x)-tan(x)]}{\frac{d}{dx} (x^3)}\\= \lim_{ x\to \ 0} \dfrac{cos(x)-sec^2(x)}{3x^2}\\

Step 3: substitute x = 0 into the resulting function

= \dfrac{cos(0)-sec^2(0)}{3(0)^2}\\= \frac{1-1}{0}\\= \frac{0}{0} (ind)

Step 4: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 2

= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ cos(x)-sec^2(x)]}{\frac{d}{dx} (3x^2)}\\= \lim_{ x\to \ 0} \dfrac{-sin(x)-2sec^2(x)tan(x)}{6x}\\

=  \dfrac{-sin(0)-2sec^2(0)tan(0)}{6(0)}\\= \frac{0}{0} (ind)

Step 6: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 4

= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ -sin(x)-2sec^2(x)tan(x)]}{\frac{d}{dx} (6x)}\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^2(x)sec^2(x)+2sec^2(x)tan(x)tan(x)]}{6}\\\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^4(x)+2sec^2(x)tan^2(x)]}{6}\\

Step 7: substitute x = 0 into the resulting function in step 6

=  \dfrac{[ -cos(0)-2(sec^4(0)+2sec^2(0)tan^2(0)]}{6}\\\\= \dfrac{-1-2(0)}{6} \\= \dfrac{-1}{6}

<em>Hence the limit of the function </em>\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3} \  is \ \dfrac{-1}{6}.

3 0
3 years ago
Determine whether the situation calls for a survey, an observational study, or an experiment.
antoniya [11.8K]

Answer:

The answer is "experiment."

Explanation:

When it comes to finding out whether a new reading program can increase reading comprehension, an experiment is important. <em>This procedure is being used in order to validate a hypothesis, particularly in a research study.</em> In the situation above, you have to validate whether a new reading program can increase the reading comprehension or not.

The experiment consists of the <em>independent, dependent and controlled variables.</em> The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.

The<u> dependent variable above is the reading comprehension, </u>while the <u>new reading program is the independent variable. </u>Examples of controlled variables are the<u> age</u>s of the participants. The age directly affects the reading comprehension, thus it has to be considered.

4 0
3 years ago
The graph of f(x) is shown.
Aleks04 [339]

Answer:

IDK if you still need this but it's A

Step-by-step explanation:

I just took the quiz and got it right :)

3 0
3 years ago
Read 2 more answers
34x−5=4 x = <br> im confused
IRINA_888 [86]

Answer:

9/34

Step-by-step explanation:

Let us move all the numerical values to one side:

34x= 4+5

34x = 9

x=9/34

<em>I hope this helps! :)</em>

8 0
3 years ago
If s ( x ) = 2 - x² and t ( x ) = 3x, what is s ( t ( -7 ) )?
ankoles [38]

Answer:

s (t (-7))=?

Step-by-step explana

s (t (-7))=  -7s t

5 0
3 years ago
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