1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erica [24]
2 years ago
15

For the rational function f(x)= 5x3-x/2x3 , identify any removable discontinuities.

Mathematics
1 answer:
Ierofanga [76]2 years ago
3 0

Answer:

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.

Step-by-step explanation:

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s rece

You might be interested in
If an elevator travels 5 stories every 6 seconds, how many stories does it travel in 24 seconds?
Rufina [12.5K]
Divide 24 by 6 in order to see how many six second intervals there are. 24/6=4. Multiply 4x5 to show many stories the elevator travels. The answer will be 20 stories.
3 0
2 years ago
Read 2 more answers
On a particular production line,the likelihood that a light bulb is defective is 5%. Ten light bulbs are randomly selected. What
KengaRu [80]

Answer:

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

Step-by-step explanation:

Consider the provided information,

Let X is the number of defective bulbs.

Ten light bulbs are randomly selected.

The likelihood that a light bulb is defective is 5%.

Therefore sample size is = n = 10

Probability of a defective bulb = p = 0.05.

Therefore, q = 1 - p = 1 - 0.05 = 0.95

Mean of binomial random variable: \mu=np

Therefore, \mu=10(0.05)=0.5

Variance of binomial random variable: \sigma^2=npq

Therefore, \sigma^2=10(0.05)(0.95)=0.475

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

5 0
2 years ago
Hank was watching the winter Olympics and was amazed at the distance the ski jumpers were able to travel. By looking at their po
Vilka [71]

Answer:

Leaning forward with the head close to the tips of the skis allows for better aerodynamics

7 0
2 years ago
Can someone help me with this?
aivan3 [116]

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

So

Given

Volume (v) = 57ft³

v =  \frac{4}{3} \pi {r}^{3}

57 =  \frac{4}{3}  \times 3.14 \times  {r}^{3}

57 = \frac{12.56}{3} \times    {r}^{3}

57 = 4.19 \times  {r}^{3}

{r}^{3}  =  \frac{57}{4.19}

{r}^{3}  = 13.6

r =  \sqrt[3]{13.6}

Therefore r = 2.4 ft

I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft

7 0
2 years ago
kyle drew tree line segments with these lenngths: 2/4" , 2/3" , 2/6" list the fractions in order from least to graiter
exis [7]
First you find a common denominator, which is 12 ( as 4,3 and 6 all go into 12). So 2/4 becomes 6/12, as 4 multiplied by 3 is 12 and whatever you do to the denominator you must do to the numerator. Then 2/3 becomes 8/12. And 2/6 becomes 4/12. If you put these in order the answer is:

2/6, 2/4, 2/3

6 0
2 years ago
Other questions:
  • Fred has 36 strawberries and 42 blueberries. He wants to use them to garnish desserts so that each dessert has the same number o
    7·2 answers
  • 30 POINTS, please help me!
    7·1 answer
  • if triangle ABC is an isosceles triangle and triangle DBE is an equilateral triangle, find each missing measure
    7·1 answer
  • Both the numerator and denominator of 18/21 can be divided by ___.
    5·2 answers
  • If I have 5 pears in one box and 2 pears in another box. <br> How many pears do I have altogether?
    5·1 answer
  • Factor. x^2+7x-30 <br> Please show me the answer please
    5·2 answers
  • 2. The director is also interested in the number of ways to choose a lead singer and a backup singer. In how many ways can the d
    15·1 answer
  • If 1.0 euro is equal to 1.07 dollars how many euros is in on dollar
    9·2 answers
  • 4 cm on a map are equal to 6 km in real life. if two points are 16 cm apart on the map, how far apart are they in real life
    12·1 answer
  • Find the mean of each data set.<br> 1.9, 10, 11, 16, 12, 12,14
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!