Need help. It’s iterations and all info should be on image

Need Help. Its Iterations And All Info Should Be On Image

Answers

Answer 1

a) Using the given recurrence,

[tex]x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5[/tex]

[tex]x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125[/tex]

b) Proceeding as above, you'll find that successive values of [tex]x_n[/tex], starting at n = 7, gravitate towards a solution of about -0.254102.


Related Questions

Write an equation for this linear
function.
f(3) = 7 and f(7) = 3

Answers

f(x)=-x+10

well looking at the difference on the x and y coordinates, it is a difference of 4 and-4, making the slope -1. because it is next to x on the function notation you can just say -x, then insert the y and x coordinates to solve for y intercept

what is x and y in the equation 9x + 20y > 120

Answers

Answer:

x= 120-20y/9

Step-by-step explantion:

-5/12 x 5/8=???????????????????????????????????????????

Answers

Answer:

-25/96

Step-by-step explanation:

simplify the expression

If p and q vary inversely and p is 4 when q is 12, determine q when p is equal to 8.

Answers

Answer:

24

Step-by-step explanation:

[tex]p = 8 \\ q = x \\ \\ q(8) = p(x) \\ \\ 12(8) = 4(x) \\ 96 = 4x \\ \frac{96}{4} = \frac{4x}{4 } \\ x = \frac{96}{4} \\ x = 24[/tex]

A couple deposits $21,000 $ ⁢ 21,000 into an account earning 5% 5 % annual interest for 30 30 years. Calculate the future value of the investment if the interest is compounded daily. Round your answer to the nearest cent.

Answers

Answer:

$94105.81

Step-by-step explanation:

[tex]21000( ({1 + .0512675})^{30} - 1) \\ = 73105.81 \\ 73105.81 + 21000 = 94105.81[/tex]

Future value of the investment if the interest is compounded daily is $94,105.80.

What is Compound Interest?

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Given that,

Principal amount, P = $21,000

Rate of interest, r = 5% = 5/100 = 0.05

Time, t = 30 years

The final amount in a compound interest is,

A = P (1 + r/n)^(nt), where n is the number of times compounding is done in a year.

Here, n = 365

A = 21000 (1 + 0.05/365)^(365 × 30)

  = 94,105.802

  ≈ 94,105.80

Hence the final amount is $94,105.80.

Learn more about Compound interest here :

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1. The graph below shows the height of an object that has been launched off a 50-foot-high wall. After approximately how many seconds does the object reach its maximum height?

1.8 seconds
4.4 seconds
3.7 seconds
2 seconds​

Answers

Answer: Its 2 seconds

Step-by-step explanation:

I took the quiz

The object reach its maximum height at 2 seconds.

WE are the given curve shows the height of an object which has been launched from 50 foot high wall with respect to time.

So we can see that the curve initially starts from the height of 50 feet.

Here in the middle the height of the object is maximum and immediately after that the height decreased in the graph.

At that maximum height time from the graph we can find that the height of the object goes upto 106 feet.

We can see in the graph that it hits the ground when the height is equal to 106.

t = 2 seconds

Learn more about Maxima here -

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The cost, C, in dollars to produce 3 pounds of chocolate candy
is represented by the linear function C (x) = 3.5x+ 800.
Find the number of pounds produced if the cost is $842.00.
Round to the nearest tenth of a pound.
469.1
h
O 3,747.0
38.5
12.0
o 1.2

Answers

Answer:

  (c) 12 pounds

Step-by-step explanation:

The cost of production is given as ...

  3.5x +800 = 842

  3.5x = 42 . . . . . . . . subtract 800

  x = 12 . . . . . . . . . . . divide by 3.5

The number of pounds produced is 12.

Can someone please explain how to do this.

Answers

Answer: 9/30

Step-by-step explanation:

The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. Give exact measurements for the lengths of the other sides of the triangle.

Answers

The exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m

To get the measure of the lengths of the other sides of the triangle, we need to get the third side first as shown:

Since the sum of the interior angle of a triangle is 180 degrees, hence;

30 + 45 + x = 180

75 + x = 180

x = 180 - 75

x = 105 degrees

Get the measure of the other sides using the sine rule;

1/sin 105 = x/sin 30 = y/sin 45

Get the measure of angle x

1/sin 105 = x/sin 30

x sin 105 = sin 30

x sin 105 = 0.5

x = 0.5/sin 105

x = 0.52m

1/sin 105 = x/sin 30 = y/sin 45

Get the measure of angle x

1/sin 105 = y/sin 45

y sin 105 = sin 45

x sin 105 = 0.0.7071

x = 0.7071/sin 105

x =  0.73m

Hence the exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m

Learn more on sine rule here: https://brainly.com/question/15018190

Find y'([tex]\sqrt[3]{3}[/tex]) where y = y(x) is an implicit function of x given by 2[tex]x^{3}[/tex]+[tex](x^{3}-3)[/tex]·sin(2πy)−3y = 0.

Answers

Given

2x³ + (x³ - 3) sin(2πy) - 3y = 0

we first notice that when x = ³√3, we get

2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0

2•3 + (3 - 3) sin(2πy) - 3y = 0

6 - 3y = 0

3y = 6

y = 2

Differentiating both sides with respect to x gives

6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0

Then when x = ³√3, we find

6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0

6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0

6•³√9 + 0 + 0 - 3y' = 0

3y' = 6•³√9

y' = 2•³√9

(that is, 2 times the cube root of 9)

The Hu family goes out for lunch, and the price of the meal is $51. The sales tax on the meal Is 7%, and the
family also leaves a 15% tip on the pre-tax amount.
What Is the total cost of the meal?
The total cost of the meal is $

Answers

9514 1404 393

Answer:

  $62.22

Step-by-step explanation:

Let m represent the pre-tax, pre-tip price of the meal. Then the total cost is ...

  m + tax + tip

  = m + 7%·m +15%·m

  = m(1 +7% +15%) = 1.22m

  = 1.22($51) = $62.22

The total cost of the meal is $62.22.

Find the inverse of the function f(x) = 2x^3 - 5


This is what I have so far
F(x) = 2x^3 - 5
Y = 2x^3 - 5
X = 2y^3 - 5
+5 +5
x + 5 = 2y^3

Answers

9514 1404 393

Answer:

  f^-1(x) = ∛((x +5)/2)

Step-by-step explanation:

Continue to solve for y.

  [tex]x +5=2y^3\qquad\text{so far so good}\\\\\dfrac{x+5}{2}=y^3\qquad\text{divide by 2}\\\\\sqrt[3]{\dfrac{x+5}{2}}=y\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}}\qquad\text{expressed in functional form}[/tex]

If you want to "rationalize the denominator", you can multiply both numerator and denominator by 4 inside the radical. This will simplify to ...

  [tex]\displaystyle\boxed{f^{-1}(x)=\frac{1}{2}\sqrt[3]{4x+20}}[/tex]

y be f(x)

[tex]\\ \rm\Rrightarrow y=2x^3-5[/tex]

Interchange y and x

[tex]\\ \rm\Rrightarrow x=2y^3-5[/tex]

[tex]\\ \rm\Rrightarrow 2y^3=x+5[/tex]

Isolate y

[tex]\\ \rm\Rrightarrow y^3=\dfrac{x+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow y=\sqrt[3]{\dfrac{x+5}{2}}[/tex]

This is the inverse

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}[/tex]

6

What value of x makes the equation -5x - (-7.4x) = -2(3x + 4) true?

F

X = 3

G

* = 5

H

J

x

Answers

Step-by-step explanation:

-5x - (-7.4x) = -2(3x + 4)

-5x + 28x = -6x - 8

(-5 + 28 + 6)x = -8

29x = -8

x = -8/29

What is the value of n in the equation?

7n + 2 = 5 × 6

A.25
B.4
C.6
D.28

Answers

Answer:

B. 4

Step-by-step explanation:

7n+2 = 5×6

7n+2 = 30

7n = 30-2

7n = 28

7n ÷ 7 = 28 ÷ 7

n = 4

The answer is B, ( I think it’s B I’m not completely shure )

(d^8)^-2. Anyone help pls?

Answers

Answer:

1/d^16

Step-by-step explanation:

Hope this helped!

Can I get brainlist? If not that's okay!

Emerson is making costumes for the
school play. She needs 3 1/2 square
yards of fabric to make each costume.
If she uses a total of 46 2/3 square
yards of fabric, how many costumes
does she make?

Answers

9514 1404 393

Answer:

  13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

  A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

  46 2/3 = n(3 1/2)

  n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

Hero is in the bowling club. There are 14 students in the club. Of the 14 students, through will be picked at random to attend an award banquet. What is the probability that hero will not be paid to attend the banquet?

Answers

The probability of him not being picked is 92.85%

There are 135 skiers in line to ride the chair lift. If each chair seats 7 people, how many skiers will be on the last chair?

Answers

Answer:

19

Step-by-step explanation:

[tex]135/7=19.28[/tex]

please help will mark as brainliest pls show work

Answers

9514 1404 393

Answer:

  y = 1/5x +8

Step-by-step explanation:

The slope of the perpendicular line will be the opposite reciprocal of the slope of the given line:

  m = -1/(-5) = 1/5

The y-intercept (b) can be found from this and the given point:

  b = y -mx

  b = 9 -(1/5)(5) = 8

Then the slope-intercept equation can be written ...

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = 1/5x +8

_____

Additional comment

Since the question asks for "an equation," the problem can be solved even more quickly using the point-slope form of the equation of a line.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -9 = 1/5(x -5) . . . . . an equation for line j

Aidan wants to rent a car while on a trip to Europe. He can rent a sedan that holds 70.1 liters of gasoline, or a sports car that holds 4,930 centiliters of gasoline. How many more liters of gasoline can the sedan hold?​

Answers

The Sedan can hold 20.8 more liters of gasoline

can you plz help out ​

Answers

Try this option:

1) q: What is the slope of the line and what does it mean in this situation?

a: the slope is 2.5 and it means 'ammount of the rain is 2.5 mm. per hour'.

2) the slope of the line is '2.5'

3) this means that '2.5' mm. of the rain falls every '1' hour.

Clifton spent $14.30 to buy his class 26 ice
cream sandwiches. How much did each ice
cream sandwich cost?

Answers

Answer:

$0.55

Step-by-step explanation:

All you have to do is divide $14.30 by 26 and that equals 0.55 so he spent 55 cents on each sandwich

.55 Cents per ice cream sandwich.

Maria is 62 inches tall. If her sister Eva was 1.5 inches taller, she would be exactly half Maria's height. How tall is Eva? Enter your answer as a decimal in the box.

Answers

Answer:

Step-by-step explanation:

Let Eva's height be x

62* 0.5 = x + 1.5

31 = x + 1.5                   Subtract 1.5 from both sides.

31 - 1.5 = x

x = 29.5

Eva is 29.5 inches tall.

Answer:

29.5

Step-by-step explanation: I took the test

Frank’s mother gave him 25 to save. If he already had 38 saved, how much money does frank have save now

Answers

Answer:

Frank now has $63 saved.

Step-by-step explanation:

25 + 38 = 63

I hope this answered your question properly!

Can you help me?????

Answers

Answer:

180 - (55+48) =77

180 -77 =103

List the first 10 triangular numbers

Answers

Answer:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45

Select all possible solutions for 2x +7
[tex] 2x + 7\leqslant 3 \times - 5[/tex]

Answers

Answer:

Select all options of x greater than or equal to 12

Step-by-step explanation:

2x + 7 <= 3x - 5

7 + 5 <= 3x - 2x

12 <= x

x >= 12

Kevin has Oranges and grapefruits in a ratio of 40:18. How many oranges does he have if he has 9 grapefruits?

Answers

Answer:

20 oranges

Step-by-step explanation:

40:18 / 2 = 20:9

Find the surface area of the following square pyramid.

Answers

The surface area is 640 square units

–5(–2) = eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

10

Step-by-step explanation:

-5 times -2= 10

Other Questions
If anybody sees this can they help me out?Every four years, millions of people head to the polls on Election Day to vote for a new president. It is their right and duty as U.S. citizens to do so. In the months before the election, they watch the candidates argue about important issues. They read articles about the candidates' promises. They see ads that draw attention to the candidates' strengths and weaknesses. Armed with this knowledge and their own beliefs, citizens choose the candidate whom they believe will lead our country in the right direction. Or do they? 2In the United States, the people do not directly pick the president. Rather, our country gives this important power to the Electoral College. The Electoral College is a body of electors selected by the people in each state to officially choose the next president. How does the Electoral College work? On Election Day, voters take part in the popular vote. They press a button or pull a lever to vote for a presidential candidate. What they actually do, however, is pick the electors who will become members of the Electoral College. These electors pledge to vote for the chosen candidate in another election held in mid-December. 3The number of members each state has in the Electoral College depends on its population. A state with a large population has more votes than a state with a small population. For example, California has 55 votes while Alaska has 3. In most states, the candidate who wins the popular vote wins all of that states electoral votes. A candidate must receive a majority of the electoral votes to become the next president. How many electoral votes is enough to win? In recent elections, candidates have had to earn at least 270 of the 538 electoral votes to win. 4In theory, this system should work, and it has workedmost of the time. A few times, however, the system has failed. In these cases, the candidate with fewer popular votes gained enough electoral votes to win the election. This occurred during the 2000 presidential election when more people voted for Al Gore, but George W. Bush earned more electoral votes and became the president. What causes such a breakdown in the system to happen? Let's return to the example of California and Alaska. A single vote in California has the power to override thousands of votes in other states. Imagine that only one person in California casts a vote for Candidate A. That candidate wins the popular vote in California 10. He or she gets all of California's 55 electoral votes. Across the country, thousands of voters in Maine, New Hampshire, Vermont, Massachusetts, Connecticut, Rhode Island, New Jersey, and Delaware cast their votes for Candidate B. Not one voter casts a vote for Candidate A. These states have a combined 52 electoral votes, which is not enough to beat California's 55. 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