Use a fixed-point iteration to find a solution to within 10-2 for 23 - 2-1 = 0 on [1, 2]. Use po = 1. Use two different representations g(x) = r. For each case show the number of iterations and the value of approximate solution for each iteration. Compute the convergence factor k in both cases.

Answer: Assuming the student walks along a rectangular grid and not diagonally, the possible locations the student could end up after walking 4 miles in any direction would be the points that are 4 units away from the starting point in a north, south, east, or west direction.

Using this information, we can determine that the possible locations the student could end up at are:

(-2, 10)

(-6, 14)

(-10, 10)

(-6, 6)

Therefore, the answer is:

All of the above locations are possible endpoints.

Step-by-step explanation:

If the student walks 4 miles north, south, east, or west,  the location at the end of the walk are respectively, (-6, 14). (-6, 6), (-2,10). (-10, 10).

The Cartesian plane, named after the mathematician René Descartes (1596 - 1650), is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numbers.

Given that,

A student starts a walk at (-6, 10)

If the student walks 4 miles north, south, east, or west,

The location at the end of the walk =

Plotting dotted diagram,

                  East

                     |

North --------- |-------------- South

                     |

                  West

Suppose, he goes to north  direction

Then, 4 will be added to y coordinate,

It can be written as,

(-6, 14)

Similarly, for South, (-6, 6),  

East, (-2,10).

West, (-10, -10)

To know more about coordinate plane check:

https://brainly.com/question/13611766

#SPJ2

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

To learn more about raltion click here: brainly.com/question/30569368 #SPJ11

The Rpm is 9000 and maximum Horsepower cannot be determined Finding the maximum of the function will help us determine the RPM at which the engine is producing the most horsepower.

To do it, we must calculate its derivative and set it to zero:

d(HP)/d(RPM) = 0.5 × (9000 - RPM)\(x^{-0.5}\)

When we solve for RPM by setting this equal to zero, we obtain:

0 = 0.5 × (9000 - RPM)\(x^{-0.5}\)

(9000 - RPM)\(x^{0.5}\) = 0

9000 - RPM = 0

RPM = 9000

So, at 9000 RPM, the most horsepower is produced. At this RPM, we only evaluate the function to determine the maximum horsepower:

HP = 0.5 × (9000 - RPM)\(x^{-0.5}\) × RPM\(x^{2}\)

HP = 0.5 × (9000 - RPM)\(x^{-0.5}\) × RPM\(x^{2}\) × 9000\(x^{2}\)

HP = 0.5 × (0)\(x^{-0.5}\) × 9000\(x^{2}\)

HP = 0.5 × infinity × 9000\(x^{2}\)

However, since infinity is not a mathematical concept, computations cannot use it. It indicates that as RPM near 9000, the engine's power output increases significantly, but the engine's maximum horsepower cannot be precisely measured.

To know more about Function

https://brainly.com/question/24748644

#SPJ4

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

To learn more about the confidence interval from the given link

https://brainly.com/question/26658887

#SPJ4

If p is prime, p = 2q + 1 (where q is an odd prime), and a is a positive integer such that 1 is a primitive root modulo p, then the two statements mentioned above hold true.

We have,

To show that if p is prime, p = 2q + 1, where q is an odd prime, and a is a positive integer such that 1 is a primitive root modulo p, we need to prove the following two statements:

The order of 1 modulo p is q.

If a is a primitive root modulo p, then a^q ≡ -1 (mod p).

Let's prove these statements:

The order of 1 modulo p is q:

We know that the order of an element modulo p is the smallest positive integer k such that a^k ≡ 1 (mod p).

In this case, we are considering 1 modulo p.

We need to show that the order of 1 modulo p is q.

Since p = 2q + 1, we can rewrite it as q = (p - 1) / 2.

By Fermat's Little Theorem, we know that \(a^{p - 1}\) ≡ 1 (mod p) for any integer a coprime to p.

Substituting p = 2q + 1, we have \(a^{2q}\) ≡ 1 (mod p).

Now, assume that the order of 1 modulo p is k, where k is less than q. This means \(1^k\) ≡ 1 (mod p), which implies k divides 2q.

Since q is an odd prime, it is not divisible by 2.

Therefore, k must divide by 2.

If k = 1, then \(1^1\) ≡ 1 (mod p), which is true.

But since k must be less than q, k = 1 is not a valid option.

If k = 2, then 1² ≡ 1 (mod p), which is also true.

However, k = 2 is not less than q, which is a contradiction.

Therefore, the only possible value for the order of 1 modulo p is q.

If a is a primitive root modulo p, then \(a^q\) ≡ -1 (mod p):

Since a is a primitive root modulo p, the order of a modulo p is p - 1.

By Euler's totient theorem, we have \(a^{p - 1}\) ≡ 1 (mod p).

Substituting p = 2q + 1, we get \(a^{2q}\) ≡ 1 (mod p). Since the order of a modulo p is p - 1, it follows that 2q must divide p - 1.

If we assume that \(a^q\) ≡ 1 (mod p), then \(a^q\) - 1 ≡ 0 (mod p).

This implies (\(a^q\) - 1)(\(a^q\) + 1) ≡ 0 (mod p).

Simplifying, we have \(a^{2q}\) - 1 ≡ 0 (mod p).

Since \(a^{2q}\) ≡ 1 (mod p), it means that 1 - 1 ≡ 0 (mod p), which is a contradiction.

Therefore, \(a^q\) cannot be congruent to 1 (mod p), and the only possibility is that \(a^q\) ≡ -1 (mod p).

Thus,

If p is prime, p = 2q + 1 (where q is an odd prime), and a is a positive integer such that 1 is a primitive root modulo p, then the two statements mentioned above hold true.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

Answer:

check attached image

- sorry it took me so long, its a lot of calculating

- I wrote the answer for 20 but didnt show work since it similar to 19 just with group b data points (i can add the work for this question if you request to if really needed)

- I'm also sorry 3 brainly tutors and no one can answer it, hope this helps :)

- Let me know if you cant read my handwritting or its blurry or even any questions !!

- I applied to be a bainly tutor, hope to assist you in the future

have a nice rest of your day <3

Answer:

It would be .75x=25-13

So .75x=12

x=16 because .75×16=12

Step-by-step explanation:

Answer: kevin can download 6 songs

Step-by-step explanation: .75x= 25-13

sooo 0.75x= 12

x=16 because 0.75×16= 12

lmk if this is incorrect, :)

Answer:

87.5 days

Step-by-step explanation:

because 175 divided by 2 is 87.5 check yourself im new to brainly

Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

#SPJ4

Learn more about electron bonding at

https://brainly.com/question/2159156

Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

Learn more about electron bonding here

https://brainly.com/question/1604211

#SPJ4

Answer:

A. Difference of Squares

Explanation:

Given the expression:

To rewrite the expression:

• Write 4 as the square of 2.

• Write 9 as the square of 3.

Thus, the given expression has been written as a difference of two squares.

The identity that can be used to rewrite the expression is the difference of squares.

Option A is correct.

The graph of the defined piece-wise function is sketched at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In the context of this problem, the function has three definitions, as follows:

For the first definition, to the left of x = -3, the function assumes a constant value of 3, hence it is an horizontal line at y = 3.

For the second definition, between x = -3 and x = 4, the function is a increasing linear function, with intercept 1 and slope 2, due to the rule y = 2x + 1.

For the third definition, to the right of x = 4, the function assumes a constant value of -2, hence it is an horizontal line at y = -2.

With each of these definitions, the graph of the function is given at the end of the answer.

More can be learned about piece-wise functions at https://brainly.com/question/19358926

#SPJ1

Answer:

3, 11, 32, 35, 38

Step-by-step explanation:

Ascending order means to place in order from smallest to largest.

Hope this helps!

If not, I am sorry.

Answer:

-6 -4 3 7

Step-by-step explanation:

This is right because if it goes- it goes lower and if it goes up on + it goes higher.

Answer:

-6, -4, 3, 7

Step-by-step explanation:

First you need to know that negative numbers are smaller than positive numbers, the larger the number beside the negative sign is, the smaller the number.

Step-by-step explanation:

\(196\pi\)

is the answer

plz mark as brainliest

Answer:

Total cost = $14464

Step-by-step explanation:

Step 1:  Multiply the discount percentage by the regular price to determine the discount amount:

0.20 * 16000 = 3200

Thus, the 20% discount lowers the regular price by $3200.

Step 2:  Subtract the discount amount from the regular price to determine the new price:

16000 - 3200 = 12800.

Thus, the subtotal is $12800

Step 3:  Multiply tax percentage by subtotal to determine tax:

0.13 * 12800 = 1664

Thus, the 13% tax rate would raise the subtotal by $1664.

Step 4:  Add the tax to the subtotal to find the cost price.

1664 + 12800 = 14464.

Thus, the total cost of the car is $14464.

Thus, the total cost of the car with the 20% discount and the 13% tax is 14464.

Answer:

it has a broken line segment because it is only has greater than sign not greater than or equal to

The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

learn more about parameterization: https://brainly.com/question/16246066

#SPJ1

Answer:

-22.1

Step-by-step explanation:

f(x) = 3x – 8,

Let x = -4.7

f(-4.7) =3(-4.7) -8

        =-14.1-8

        -22.1

The quantity of time spent studying and the test result generally have a positive relationship. Therefore, the likelihood that the test score will rise as study time increases is high.

In our approach, "personal relationships" refers to close connections between people that are created by emotional ties and interactions. These connections frequently develop out of and are strengthened by shared experiences.

Having supportive social networks helps us deal with stress, resolve problems, and overcome obstacles. Over the course of our lives, we interact with a wide variety of people. This includes connections with close friends, family, coworkers, neighbors, and intimate, among others.

To know more about relationship visit:

https://brainly.com/question/14389660

#SPJ4

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(6-8)

m=(2+4)/-2

m=6/-2

m=-3

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

Learn more about alternative hypothesis here

https://brainly.com/question/15980493

#SPJ4

Answer:

B

Step-by-step explanation:

V=\(\pi r^{2} h\)

V=3.14*\((16/2)^{2}\)*3

V=3.14*\(8^{2}\)*3

V=3.14* 64*3

V=602.88 which rounds up to 602.9

A polynomial with degree 3 and zeros -4 and 31 can be written as (x + 4)(x - 31)(x - 31), which expands to f(x) = x³ - 54x² + 787x - 1196.

A polynomial with degree 3 and zeros -4 and 31 can be written as (x + 4)(x - 31)(x - k), where k is an integer that can be determined by expanding the expression.

Since the polynomial has degree 3 and zeros -4 and 31, we can write it as:

f(x) = a(x + 4)(x - 31)(x - k)

where a is a constant that can be determined by considering the leading coefficient of the polynomial. Since the polynomial has degree 3, the leading coefficient must be a nonzero integer, and we can write:

f(x) = a(x + 4)(x - 31)(x - k)

To determine the value of k, we can use the fact that the polynomial has zeros -4 and 31. This means that f(-4) = f(31) = 0. Substituting these values into the expression for f(x), we get:

f(-4) = a(0)(-35)(-4 - k) = 0

f(31) = a(35)(0)(31 - k) = 0

Since these expressions are equal to 0, it follows that either a = 0 or (4 + k) = 0 and (31 - k) = 0. Since a must be nonzero, we have:

4 + k = 0 and 31 - k = 0

Solving these equations simultaneously, we get k = 31. Substituting this value of k into the expression for f(x), we get:

f(x) = a(x + 4)(x - 31)(x - 31)

Expanding this expression, we get:

f(x) = a(x² - 27x - 496)(x - 31)

Therefore, a polynomial with degree 3 and zeros -4 and 31 can be written as (x + 4)(x - 31)(x - 31), which expands to f(x) = x³ - 54x² + 787x - 1196.

For more questions like Polynomial click the link below:

https://brainly.com/question/11536910

#SPJ11

Answer:

Step 3 is wrong

Step-by-step explanation:

\(x_1=\frac{-\left(-6\right)+14}{2\cdot \:5},\:x_2=\frac{-\left(-6\right)-14}{2\cdot \:5}\)

is how she shouldve put it in

Answer:

81 - x^2

Step-by-step explanation:

this is a "special product," namely, the product of the sum and the difference of quantities 9 and x.

The product is the difference of two squares:

(9 + x)(9 - x) = 81 - x^2

Answer:

7

Step-by-step explanation:

35/5 = 7

Answer:

The y intercept would be (0, 1/3)

The number at the end is always the y value. In a y intercept x is always 0.