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
Ad libitum [116K]
2 years ago
6

Show that f(x) = 2000x^4 and g(x) = 200x^4 grow at the same rate.

Advanced Placement (AP)
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

The answer is "f(x) \ and \ g(x)\text {are in same rate }".

Explanation:

\to f(x) = 2000x^4\\\\ \to g(x) = 200x^4\\\\

\to \lim_{n \to \infty} \frac{f(x)}{g(x)}=\frac{2000x^4 }{200x^4}=\frac{2000}{200}=10\\\\\to  \lim_{n \to \infty} \frac{f(x)}{g(x)}= m\neq 10

So,f(x) \ and \ g(x) are in the same rate because M=10 is finite.

You might be interested in
John gets a weekly allowance of $20 from his parents. The only thing he has a real interest in buying is a big slice of pizza af
IRISSAK [1]

From the above table we can see the MU from consumption of 6th spice is zero. Therefore, John will consume 5 slices of Pizza.

<h3> If John purchased 8 slices, what total utility would he enjoy?</h3>

When he consumes 8 slices of Pizza then the total utility that he will derive will be:

TU = 20 + 12 + 10 + 6 + 2 + 0- 2 - 6

= 42 utils.

<h3>What is the complete table that shows the marginal utility per dollar for each slice of pizza and each funnel cake?</h3>

See the attached table I in the attached.

<h3>Assuming John’s parents do not allow him to use any savings, what is his optimal consumption bundle of pizza and funnel cakes? </h3>

When John expends all of his income and cannot use his savings, he will maximize his overall utility.

Then he will maximize his TU when the MU/$ of the two commodities are equal. According to the preceding data, the MU/$ is equivalent for the following combinations. See table II in the attached.

From the chart above, we can see that he can spend up to $ 20 if he consumes three pieces of pizza and four funnel cakes.

However, because he cannot spend his funds, he will have fewer than three slices and four funnel cakes.

As a result, he will give up 1 slice of pizza because the third slice provides him a MU of 10 utils and the fourth piece of Funnel cake gives him a MU of 20 utils.

The optimal consumption basket contains two pieces of pizza and four funnel cakes.

<h3>At John’s optimal consumption bundle, what total utility will he gain?</h3>

Total Utility is given as:

(20+12)+(50+40+32+20)

= 32 + 142

= 174 utils.

Learn more about utility at;
brainly.com/question/24922430
#SPJ1

Download xlsx
7 0
2 years ago
Which statement best explains why the governor of Michigan can’t veto a recall?
Inessa [10]
A legislature with 2 parts
6 0
3 years ago
Read 2 more answers
Two lights will be arranged on a two-dimensional plane. The vertical distance between the two lights is stored in the double var
lbvjy [14]

Answer:

double a;

double b;

double distance = Math.sqrt( (Math.pow(a, 2) + Math.pow(b, 2));

System.out.println("The distance is: " + distance);

Explanation:

The code snippet is written in Java.

First, variable a is declared as a type of double and variable b is also declared as a type of double.

The given formula for the distance is:

√(a² + b²)

So we use the inbuilt function of Java to calculate the power and the square root.

Math.sqrt is to find the square root and it returns a value of type double.

Math.pow is use to calculate the value of a² and b².

a² = Math.pow(a, 2)

b² = Math.pow(b, 2)

Then Math.sqrt is applied to the sum of Math.pow(a, 2) and Math.pow(b, 2), the value is assigned to distance of type double.

The value of distance is now displayed to the user:

System.out.println("The distance is: " + distance);

6 0
3 years ago
What is not a characteristic of money
Alex777 [14]
Money is a substance that is acceptable as a medium of exchange for goods and services and can further be used to settle debt.

Money is well defined by its functions and characteristics.

6 0
3 years ago
Prompt Describe each concept listed below. Provide an original example of each concept. Social facilitation
likoan [24]

Answer:

All of these terms are ideas which follow psychological occurances in the real world.

Social facilitation is the factor between the company of other people, and how it mentally benefits the performance of someone else.

For example, when someone is preforming on stage, the social facilitation of the audience will influence them psychologically and will result in a better performance.

Social loafing can be thought of as the trend of lower effort when working in a group, rather than on your own.

For instance, when you are working with your colleagues in a job, social loafing comes into action when you put in less work with the expectation that with more people, others will do their part for you, resulting in less productivity.

Deindividuation happens when someones identity with other people takes over their own identity and awareness of themselves.

This includes actions that you wouldn't take out of this group or community because it can distract you from thinking critically.

Deindividuation in the real world can take the form of events such as protests, riots, mobs, parties and several others, typically involving a crowd or group.

Groupthink culture or groupthink is when individuals are pressured to think the same way by discouraging different ideas or opinions. This can be thought of as individual decision making in a group.

Groupthink can apply to the military as a result of their very strict rules. In the military, people are forced to act without question, and are put through harsh situations in order to prepare them for the seriousness of battle.

The military itself is positive groupthink as it achieves quicker decision making, harmony, less stress, and no arguments to slow them down.

There is also a negative part of groupthink where people will not be open to information that may be better or help improve the situation.

Cultural norms can be refered to as the cultural or social expectations people live by in society.

For instance, Americans are expected to wake up, and attend school or work during the day.

Cultural norms also include morals such as what is acceptable, and what is not.

7 0
3 years ago
Other questions:
  • I have never tried to get back at someone who has hurt me on the job, true or false?
    8·2 answers
  • Nees help pips :€ math and i will give you extra points
    15·2 answers
  • Can someone help me with this
    5·1 answer
  • What is hell and heaven?​
    14·1 answer
  • Why won’t Brainly let me check my notifications
    7·2 answers
  • A librarian is curious about the habits of the library's patrons. He records the type of item that the first 10 patrons check ou
    9·2 answers
  • Describe how historically the political geography of colonialism affected indigenous
    8·1 answer
  • A field of crop plants removes more mineral nutrients from the soil then does a field of native plants. Which of the following i
    13·1 answer
  • In the context of the passage, "coarse" (sentence 1) is best interpreted as
    15·1 answer
  • Which two types of energy are formed by the transformation shown in the photo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!