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2 years ago

Find the vertical, horizontal, and slant asymptotes, if any for y=x^3/ (x-2)^4

1 answer:

7 0

This has both a horizontal and a vertical asymptote. There are no slant (oblique) asymptotes cuz the degree of the numerator is not higher than that of the denominator. If the degree of the numerator is less than the degree of the denominator, which is our case here, then the horizontal asymptote is 0. But we also have a vertical asymptote, which occurs where the denominator = 0. We all know that we break every rule known to mankind if we try to divide by 0, so there also a vertical asymptote at x = 2.

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HELP!

Iteru [2.4K]

Divide the length of the wall by 2 to find the center:

11/2 = 5.5 feet.

Divide the length of the shelf by 2 to find the center of the shelf:

2.5 / 2 = 1.25

Subtract the center of the shelf from the center of the wall:

5.5 - 1.25 = 4.25 feet.

7 0

3 years ago

The point (-3/5,y)in the third quadrant corresponds to angle θ on the unit circle.

anastassius [24]

The given point (-3/5 , y) lies in the third quadrant.
It is also given that the point lies on a unit circle.

For a point (x,y) lying on a unit circle a and y are defined as:

x = cos θ
y = sin θ

So, we can say for the point (-3/5 , y) the value -3/5 is equal to cos θ

sec θ is the reciprocal of cos θ.

So, sec θ = -5/3

$cot\theta= \frac{cos\theta}{sin\theta}$

Using Pythagorean identity we can first find sin θ.

$sin \theta = - \sqrt{1- cos^{2}\theta } \\ \\ 
sin\theta= \sqrt{1-( -\frac{3}{5})^{2} }=- \frac{4}{5}$

Since the point lies in 3rd quadrant, both sin and cos will be negative.

So, now we can write:

$cot\theta= \frac{ \frac{-3}{5} }{ \frac{-4}{5} } \\ \\ 
cot\theta= \frac{3}{4}$

Answers:
sec θ = -5/3
cot θ = 3/4

8 0

3 years ago

Read 2 more answers

Based on a survey, when 1009 consumers were asked if they are comfortable with drones delivering their purchases, 42% said yes

Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

$P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}$

Using the values, we get:

$P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002$

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0

3 years ago

Find the missing side using the pythagorean theorem.<br> 9 in<br> 12 in<br> x =

Nikolay [14]

Answer:

225 in

Step-by-step explanation:

7 0

2 years ago

Which equation has no solution?

san4es73 [151]

Answer:

Step-by-step explanation:

hope this helps

4 0

2 years ago