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4 years ago

Which of the following are vertical asymptotes of the function y=3cot(1/2x)-4? A. 3pi B. 2pi C. pi/2 D. 0

Mathematics

2 answers:

Rina8888 [55]4 years ago

5 0

Answer:

B and D

Step-by-step explanation:

puteri [66]4 years ago

4 0

A vertical asymptote occurs when function limit goes to infinity.

cot is reciprocal of tangent.

cot = 1/tan, Find where tan = 0, since 1/0 goes to infinity.

tan(a) = 0 when a = 0,pi

Now Apply coefficient inside cot function.
x/2 = 0,pi
x = 0, 2pi

Therefore, vertical asymptotes occur when x = 0 or 2pi

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o

kaheart [24]

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064$

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

4 0

3 years ago

Pedro goes to the town carnival. It costs $9 to enter

TEA [102]

Answer:

c=4n+9/ Pedro played 12 games at the carnival.

Step-by-step explanation:

After writing the equation( c= 4n+9) you would place 57 in the c variable and solve for n.

57=4n+9

48=4n

12=n

6 0

3 years ago

How do you estimate 403,446 396,755

Nostrana [21]

403446 is around 400000 so you round that up in your head. 396755 is close to 400000 so you round that up in your head to. Then you add them together to get 800000, which you can do in your head.

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3 years ago

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ratelena [41]

Answer:

4/5

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