What are the first six numbers of the Fibonacci sequence?; What is the value of Fibonacci 6?; What is the 63rd term of the Fibonacci sequence?; What is the 12th term of the Fibonacci sequence 1 1 2 3?

Answers

Answer 1

The solutions for all three questions regarding the Fibonacci sequence are given below.

The Fibonacci sequence can be defined as a set of integers that form a sequence that follows one rule ie., every number is the sum of the preceding two numbers. The first six numbers of the Fibonacci sequence are =  1, 1, 2, 3, 5, 8.

The 63rd term of the Fibonacci sequence is  4052739537881. The 12th number in this sequence is 144. This can be found out using the formula -

= [tex]F_{n-1}[/tex] +  [tex]F_{n-2}[/tex]

Here, if we know the values of the preceding two numbers, we can easily find out the value of any number in the Fibonacci sequence.

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Related Questions

The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°

Answers

The temperature on the second day is 11°.

How to calculate the temperature?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Temperature is a unit used to express hotness or coldness on any of a number of scales, including Fahrenheit and Celsius. The direction that heat energy will spontaneously flow depending on temperature.

Let the temperature on the second day be x.

Based on the information, temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up.

-4 + x = 7

Collect the like terms

x = 7 + 4..

x = 11

The temperature is 11°

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The temperature cooled by 4° on the first day of the year together on the 1st 2 days of the year the temperature heated up 7°. What is the Temperature on tue second day?

Bones from the skeleton of a fish have lost 22 percent of their carbon-14. Note that for carbon-14,the constant of proportionality is approximately k = 0.000124. Estimate the age of the bones: Round to the nearest tenth of ayear. Answer How to enter your answer Keypad years

Answers

The age of the bones from the skeleton of s fish is 2000 years.

The formula to be used for calculation of age is-

ln (N/No) = - kt, where N/No represents remaining time, k represents constant of proportionality and t refers to the age or time period.

The remaining time = 100 - 22

Remaining time = 78% or 0.78

Keep the values in mentioned formula to find the time.

ln 0.78 = - 0.000124t

Keeping the value of ln 0.78 on Left Hand Side of the equation

- 0.248 = - 0.000124t

Negative sign will be cancelled as it is present on both sides of the equation

t = 0.248/0.000124

Performing division on Right Hand Side of the equation

t = 2000

Hence, the age is around 2000 years.

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which is not true about the pascals triangle

Answers

The statement which not true about the Pascal’s Triangle is that it is not symmetrical.

What are the correct statements about Pascal’s Triangle?

It is symmetrical.The first diagonal is all 1’s.The second diagonal is the counting numbers.Any number in the triangle is the sum of the two numbers directly above it.Each row adds to a power of 2.The first and last numbers of a row are always 1.The nth row gives the coefficients in the expansion of (x+y)^n.

Pascal's Triangle presents us how many ways heads and tails can combine. This can then show us the probability of any combination.

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I need help with this problem

Answers

Step-by-step explanation:

of the following is the correct arrangement of the following atoms in order of DECREASING first ionization energy?

O>Te>Se>Po

Po>Te>Se>O

O>Se>Te>Po

Po>Se>Te>O

what is the value of the estimated standard error for the following set of d-scores? scores: 2, 2, 10, 2. a) 3 b) square root 3 c) 4 D) 2

Answers

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

The standard error of a statistic is the standard deviation of the sample distribution, or a close approximation of that standard deviation. A statistic that is the sample mean is referred to as having a "standard error of the mean."

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean.

Consider the following set of D scores,

2, 2, 10, 2

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 2 + 2 + 10 + 2

We can sum or difference of the coefficients,

∑D = 4 + 10 + 2

∑D = 14 + 2

∑D = 16

Then,

∑D² = 2² + 2² + 10² + 2²

∑D² = 4 + 4 + 100 + 4

∑D² = 8 + 100 + 4

∑D² = 100 + 12

∑D² = 112

So,

The formula for the standard score is given as:

SS = ∑[tex]D^{2}[/tex] - (∑D*∑D) / n

SS = 112 - [ (16)² /4 ]

SS = 112 - [ 256 /4 ]

SS = 112 - 64

SS = 48

Then,

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{SS}{n-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{4-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{3} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{16}[/tex]

[tex]S_{D}[/tex] = 4

Therefore,

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

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Chris and Layla bought new fish for their home aquariums. Chris bought 4 guppies and 3 platys for a total of $25.80. Layla bought 4 guppies and 2 platys for a total of $22.92. Find the price of a guppy and the price of a platy.

Answers

Solving system of equations we get price of the guppy is  $4.29 and  platy is $ 2.88.

How to Find the price of a guppy and the price of a platy ?A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

Let

price of guppie  = x

price of platy = y.

Chris bought 4 guppies and 3 platys for a total of $25.80.

i. e.

4x + 3y = 25.80-----------1

Layla bought 4 guppies and 2 platys for a total of $22.92.

4x + 2y = 22.92-----------------2

equation  1 - 2

then we get

y = 2.88

put y = 2.88 in to equation 1

4x + 3 ( 2.88) = 25.80

then we get

X = 4.29

price of the guppy is  $4.29.

price of the platy is $ 2.88.

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Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36

Answers

The sigma notation is:

Σ (6 to k=1) k²

Given:

The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.

Typically, a sum of several terms is represented by the symbol "sigma." Typically, this symbol is accompanied by an index that changes to include all terms that must be taken into account while calculating the sum.

use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36

⇒ 1+4+9+16+25+36

⇒ 1² + 2² + 3² + 4² + 5² + 6²

⇒ Σ (6 to k=1) k²

Hence we get the required answer.

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QUESTION 12/15 Which tools would you use to make Chart 1 look like Chart 2? Select all that apply.

Answers

The tool that is used to make Chart1 look like Chart2 is data lables .

What are Charts ?

Charts can be defined as graphical way that represents data elements.

the forms of charts are tables and graph .

From the attachment we can see that both the charts are circle graphs .

and the chart2's data label is visible and chart's 1 data label is not visible .

The data label of chart1 needs to be visible for both the chart to look alike .

Therefore , the tool that is used to make both the charts lookalike is data labels .

The given question is incomplete , the complete question is

Which tools would you use to make Chart 1 look like Chart 2 ?

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choose r for a qualification for a member of the house of representatives, s for a qualification for a senator, or b for both.

Answers

Qualifications for members of house of representatives and senate

r ;- Be a resident of the state from which they are elected, be at least 25 years old, and have been citizens for at least 7 years.

s ;- Be a resident of the State from which he or she is elected, at least 30 years old, and a citizen for at least 9 years.

Given,

The House of Representatives is the lower body of the United States Congress, and the United States Senate is its upper chamber. The United States' national bicameral legislature is made up of them all. Washington DC

Then,

Qualification for a member of the house of representatives, r ;-

Be a resident of the state from which they are elected, be at least 25 years old, and have been citizens for at least 7 years.

Qualification for a senator, s ;-

Be a resident of the State from which he or she is elected, at least 30 years old, and a citizen for at least 9 years.

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The differential treatment of individuals or groups without reference to behavior, qualifications, or other legal factors, resulting in a difference in outcome, is known as discrimination. Discrimination can occur based on various factors such as race, gender, age, religion, disability, or nationality.

There are different forms of discrimination, including: 1. Direct discrimination: This occurs when someone is treated less favorably because of a specific characteristic or attribute. For example, if an employer refuses to hire someone solely based on their gender, it would be considered direct discrimination. 2. Indirect discrimination: This happens when a seemingly neutral policy, criterion, or practice puts individuals with a particular characteristic at a disadvantage. For instance, if a job requires a height requirement that disproportionately affects a certain racial group, it would be considered indirect discrimination.

3. Systemic discrimination: This refers to discrimination that is built into the structures, policies, and practices of an organization or society. It may be unintentional but still leads to unequal outcomes. An example is when certain communities consistently receive lower funding for education compared to others, leading to systemic disadvantages for students in those areas.

Discrimination can have negative impacts on individuals and society as a whole, perpetuating inequality and hindering social progress. It is important to promote equality, fairness, and inclusivity to create a just and equitable society.

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on the 9th of february 2012, the heights of the water in the bristol channel in cardiff, uk were as follows. low tide was 1.2 m at 2:00 am and high tide was 12.4 m at 7:56 am. assuming sinusoid periodicity, estimate the height of the water at sunset (5:16 pm on that day). give your answer as a decimal (in metres) rounded to 1 decimal place.

Answers

It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

What is the period of the sinusoidal signal?

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Are all sinusoidal sequences periodic?

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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The variable p varies inversely as the square of q. When p = 36, q = 25.
When p = 4, q=
When q = 10, p =

Answers

Answer:

p=4: q = 75q=10: p = 225

Step-by-step explanation:

You want to know various values of p and q when p varies inversely as the square of q, and p=36 when q=25.

Variation

A formula describing the variation of one variable with another will generally have a constant of variation, which we choose to represent here by the letter k.

Since p varies inversely as the square of q, the formula can be written as ...

  [tex]p=\dfrac{k}{q^2}[/tex]

Multiplying by q² gives us a way to find the value of k from known values of p and q:

  k = p·q²

  k = 36·25² = 22500 . . . . . . using the given values of p and q

We can also rearrange the formula to give q as a function of p:

  q = √(k/p)

Table of values

We are interested in q for p=4, and in p for q=10.

  q = √(22500/4) = 75

  p = 22500/10² = 225

When p=4, q = 75When q=10, p = 225

if opposite angles of a quadrilateral are supplementary then the quadrilateral is a parallelogram? true or false?

Answers

False. If opposite angles of a quadrilateral are supplementary then the quadrilateral is not a parallelogram.

What are supplementary angles?

Two angles are said to be supplementary angles if their sum is equal to 180 degrees.

What are the angle properties of a parallelogram?

In a parallelogram the sum of adjacent angles is equal to 180 degrees which means that the adjacent angles are supplementary. Whereas, the opposite angles in a parallelogram are congruent (equal). Hence, the statement is false.

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Mr. Freeze is a freelance ice artist who creates ice sculptures. He is paid $30 per pound of ice he uses. Last week it took him 73 hours to sculpt 5 sculptures weighing a total of 530 pounds. Based on this, what is his approximate hourly wage?

Answers

Answer:

$217.81/hr

Step-by-step explanation:

The 5 sculptures contain 530 lbs of ice, which Nr. Freeze sells at $30/lb:

His total income is:  (530 lbs)*($30/lb) = $1590

The sculptures required 73 hours to create.  Mr Freeze's hourly wage is therefore ($1590/73 hr) = $217.81/hr (!)

Roberto's employer offers a sliding paid vacation. when he started work, he was given three paid days of vacation. For each six-month period he stays at the job, his vacation is increased by two days. Let x represent the number of 6-month periods worked and y represent the total number of paid vacation days. Write an equation that modes the relationship between these two variables.

Answers

Answer:

telecomunication of te following

The wholesale price for a shirt is 5.50. A certain department store marks up the wholesale price by 90%. Find the price of the shirt in the department store.
Round your answer to the nearest cent, as necessary.

Answers

The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

What is the Wholesale price?

The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.

Given:

The wholesale price for a shirt is $5.50,

The markup price  = 90%

Calculate the markup price as shown below,

The markup price  = 90% of $5.50

The markup price  = 90 / 100 × 5.50

The markup price  = $4.95

Calculate the price of the shirt as shown below,

The price of a shirt = The markup price  + The wholesale price of the shirt

The price of a shirt =  $5.50 + $4.95

The price of a shirt =  $10.45

Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

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Vinnie's Mini-Golf hosts children's birthday parties. Parents can reserve the party room for kids to eat pizza and cake after playing golf. The total price for a party with c children is 8.5c + 35 dollars. Mrs. Kim scheduled her son's party for 8 children.

What price will Mrs. Kim pay for her son's party?

Answers

Mrs Kim will pay 103 dollars for her son's party.

What is a substitution method?

The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

Given, the total price for the party with c children = 8.5c + 35 dollars

For 8 children, c = 8 then,

Total price = 8.5*8 + 35 = 103 dollars

Hence, Mrs Kim will pay 103 dollars for her son's party.

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farrow co. expects to sell 150,000 units of its product in the next period with the following results.

Answers

Farrow co has to accept the offer.

Given that,

In the upcoming time frame, Farrow Co. anticipates selling 150,000 pieces of its product, with the following outcomes.

The calculation of the total combined net income is displayed below:

           Normal Volume         Additional Volume              Total

Sales    $2,250,000                  $180,000                           $2,430,000

                                                   (15,000 × $12)

Costs and expenses:    

Direct materials $300,000           $30,000                         $330,000

Direct labor  $600,000                   $60,000                         $660,000

Overhead     $150,000                    $22,500                          $172,500

                                                  ($150,000 × 15%)

Selling expenses $225,000                                            $225,000

Administrative expenses $385,500 $64,500                          $450,000

Total costs and expenses $1,660,500 $177,000          $1,837,500

Incremental income (loss) from new business $589,500 $3,000 $592,500  

Therefore, the company should accept the offer      

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Can a triangle have sides with the given lengths? 11, 12, 15

Answers

Yes because yessssss
I think it 11 or maybe 15

a grocery store is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts. a random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box. the sample results are given below. brand a brand b mean

Answers

Therefore ,Based on this sample, of 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

What is  confidence interval ?

An estimation range for an unknowable parameter is referred to as a confidence interval in frequentist statistics. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals.

Here,

Given: random sample of 100 boxes of each brand

The difference of the means,μhn−μsy had a 90% confidence interval that was calculated as follows: (1.1,2.4).

Therefore,

Based on this sample, we are 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

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8188.8
A new washing machine used 3½ gallons of water per full load to clean clothes. If Sam
washed 3% loads of clothes, how many gallons of water would be used?

Answers

Answer: 13.4 oz
Explanation: you would first convert gallons to oz. Then take that number and times it by the percentage, 3%X448=13.44 fluid ounces

Fill in the missing digits to find the base 2 representation of 59.

Answers

To find the base 2 representation of 59, we need to express 59 as a sum of powers of 2.

The powers of 2 are: 1, 2, 4, 8, 16, 32, 64, 128, etc.

The largest power of 2 that is less than or equal to 59 is 32. The next largest power of 2 is 16. The largest power of 2 that is less than or equal to the remaining value (59 - 32 = 27) is 16. The largest power of 2 that is less than or equal to the remaining value (27 - 16 = 11) is 8. The largest power of 2 that is less than or equal to the remaining value (11 - 8 = 3) is 2. The largest power of 2 that is less than or equal to the remaining value (3 - 2 = 1) is 1.

The base 2 representation of 59 is therefore:

32 + 16 + 8 + 2 + 1

which can be written as:

111011

Therefore, the base 2 representation of 59 is 111011.

Answer:

0111011

Step-by-step explanation:

By doing L.C.M of 59 by 2 only

__2__[_59__

__2__{_29__ ----->remainder=1

__2__{__14__ ----->remainder=1

__2__{__7___----->remainder=0

__2__{__3___----->remainder=1

__2__{__1___------>remainder=1

__2__{__0__------->remainder=1

__2__{__0__------->remainder=0

answer: 0111011

Two mobile phone companies have different data rates. Company A has a rate of
$100 for unlimited data, and Company B has a flat fee of $20 plus $5 per gigabyte of data. The point of intersection between these two linear relations is (16, 100).

What does this point of intersection represent?

a) Both phone companies would charge $16 per gigabyte used with a bill of $100.

b) Both phone companies would charge $100 if the customer used 16 gigabytes of data.

c) Both companies would charge $100 with a flat fee of $16.

d) Both companies would charge $16 per gigabyte if the customer used 100 gigabytes.

Answers

Answer:  Choice B

Explanation:

x = number of gigabytes of data used

y = total price

Company A has the equation y = 100. The x variable is not involved since the cost is $100 no matter what.

Meanwhile, company B has the equation y = 5x+20

The slope of 5 indicates how much per gigabyte is charged. The 20 at the end is the flat fee, aka y intercept.

If we were to graph those equations, then we'd find they intersect at (16,100) as mentioned.

This means x = 16 and y = 100 pair up together.

It further tells us that both companies charge the same ($100) when x = 16 gigabytes of data are used.

This points us to choice B as the final answer.

Find an equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5.

Answers

Equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5 is (x+3)²/25+(y-5)²/16=1

What is Ellipse?

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

Given,

center −3, 5,

Major axis of length 8

Endpoint of minor axis 0, 5.

Standard form of equation for an ellipse with vertical major axis:

(x-h)²/b²+(y-k)²/a²=1, a>b

(h,k)=(x,y) coordinates of center.

(-3, 5) are coordinates of centre

given length of vertical major axis:=8=2a=4

a=4

a²=16

Length of minor axis=b=5

b²=25

Hence,  equation of the ellipse that has center −3, 5, a major axis of length 8, and endpoint of minor axis 0, 5 is (x+3)²/25+(y-5)²/16=1

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what is the result of the following boolean expression, if x equals 5, y equals 3, and z equals 8? not (x < y or z > x) and y < z

Answers

False Reason:...This is false if (x=5)  (y=3). and denotes the requirement that both be true.

This is true: (z=8) > (x=5) The entire statement is false because it relies on the and condition rather than the OR condition.

What is an example of a Boolean expression?

A Boolean expression(named for mathematician George Boole) is an articulation that assesses to one or the other valid or misleading. Let's take a look at some examples from common speech: Pink is my favorite color. valid • I'm anxious about PC programming. False This book is a laugh-out-loud good read.

Which three Boolean expressions are there?

There are three fundamental Boolean operators: What's more, OR, and NOT.

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2. The equation and the graph represent two functions. Use the equation
y 4 and the graph to answer the questions, Besson 5-7)
6 7 8 9 10 11 12
a. When x is 4, is the output of the equation or the graph greater?
b. What value for x produces the same output in both the graph and
the equation?

Answers

The equation y = 4 has a greater output at x = 4

The graph and the equation have the same output at x = 6

The greater output at x = 4

From the question, we have

The linear graph The equation y = 4

From the graph, we can see that

When x = 4, the output is 3

The equation y = 4 implies that, the output is always 4 irrespective of the input value

Hence, the equation has a greater output.

The value of x for same output

Here, we have the same parameters above

From the graph, we can see that

When y = 4, the input is 6

The equation y = 4 implies that, the output is always 4 irrespective of the input value

Hence, they have the same output at x = 6

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Determine the Type II error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt. Select the correct answer below:
a.The researchers cannot conclude that greater than or less than 65% of college students will graduate with debt when, in fact, 65% will graduate with debt.
b.The researchers cannot conclude that 65% of college students will graduate with debt when, in fact, more or less than 65% of college students will graduate with debt.
c.The researchers cannot conclude that 65% of college students will graduate with debt when, in fact, 65% of college students really will graduate with debt.
d.The researchers cannot conclude that greater than or less than 65% of college students will graduate with debt when, in fact, greater than or less than 65% of college students will graduate with debt.

Answers

Since type I error is to reject the null hypothesis when null is true that's why the Correct option is C.

The researchers believe that more than or less than 65% of college students will graduate with debt, when in fact, 65% will.

The null hypothesis is true if the experimental result matches the predicted theoretical result. The null hypothesis is disproved and we examine an alternative one if there are any variations in the observed parameters between the samples. The null hypothesis was rejected, which opens the door for additional study but does not imply that the first experimentation was flawed. Usually, the null hypothesis is used to gauge the strength of the evidence.

Hence we get the required answer and the correct option is c.

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Draw a graph with at least 5 nodes and 15 edges.

Answers

It is possible to draw   graph with 5 nodes and 15 edges.

What are nodes and edges?

Nodes are points on graph in where curves, lines or scatters are met.

Edges are curves, lines or arcs presented on the graph connected by one or more nodes.

How to draw graph with nodes and edges?

So as to draw graph using nodes and edges, we have to follow a formula that allow us about how many nodes and edges can be used at a time.

If we have N nodes, then we have N-1 edges available connect directly to other nodes. Therefore, maximum number of edges available in such case for connecting directly or indirectly to the nodes is calculated by the formula below.

Maximum number of edges =N×(N-1), when we have N nodes.

in the question, we are said to draw graph with 5 nodes and 15 edges.

we have maximum number of edges = 5×(5-1) = 20 edges

hence, it is possible to draw graph with 5 nodes and 15 edges.

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Se tiene que f varía directamente con j

Si f=27 cuando j=9

Calcule el valor de j cuando f=9

Answers

Using direct variation, the value of j when f equals 9 is 3

Variations

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

In the question given, we have f varying directly with j

f ∝ j

f = k j

k = f / j

f₁ / j₁ = f₂ / j₂

Substituting the values into the equation;

27 / 9 = 9 / j₂

j₂ = 9 * 9 / 27

j₂ = 81 / 27

j₂ = 3

The value of j₂ = 3

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Translation: We have that f varies directly with j, if f = 27 when j = 9. Calculate the value of j when f = 9

find the future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly. (round your answer to the nearest cent.) $

Answers

The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..

The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

P = PMT× ((1+r)ⁿ −1)/r

where:

P---> Future value of an annuity stream

PMT---->Dollar amount of each annuity payment

r -->Interest rate (also known as discount rate)

n--->Number of periods in which payments will be

We have given that

Present value for an Annuity = $200

compounded rate , r = 13%

but compounded quarterly, then, r = 13%/4

= 0.13/4 = 0.325

Number of years , n = 2 + 1/2 = 5/2

then change into quarterly, n = 5/2 × 4 = 10

Future value formula ,

F.V = PMT ( (1+i)ⁿ - 1)/r

=> Future value = 200((1+0.325)^10/0.325)

=> F.V = 10263.734

Hence, the future value of an annuity is $10263.734..

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Which of the following is a polynomial ? (a) 1/x+1 (b) 1/√x+1 (c) 1/x²+x+1 (d) x³+1

Answers

Answer:

Before you get into classifying polynomials, let’s define what polynomials are!

Polynomials are a specific type of mathematical expression that has all of the following:

One or more terms

Variables with only positive whole-number exponents

No variables in the denominators of any term

So, let's discuss the questions:

A)1/x+1 is not a polynomial

B)1/√x+1 is not a polynomial

C)1/x²+x+1 is not a polynomial

D) x^3+1 is a polynomial bc it has positive whole number exponent, their no variables in the denominators and its more than 1 terms

Step-by-step explanation:

hope this helps <3

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