complete the statement 6cm/min = ?m/sec

The actual value of the function at the point x = 1.4 is 2.8247.

To complete the table using Euler's method, we start with the initial condition (X₀, y₀) = (0.4, 2) and the step size h = 0.2. We can calculate the subsequent values as follows:

n | Xn | Yn | Y_exact

0 | 0.4 | 2 | 2.0000000

1 | 0.6 | 2.4 | 2.0135135

2 | 0.8 | 2.7762162 | 2.0508475

3 | 1.0 | 3.1389407 | 2.1126761

4 | 1.2 | 3.5028169 | 2.2026432

5 | 1.4 | 3.8722405 | 2.3265306

To calculate Yn, we use the formula: Yn+1 = Yn + h * f(Xn, Yn) = Yn + h * (Xn / Yn). Here, f(X, Y) = X / Y.

As you mentioned, the exact solution is y(x) = 2.8247. To find y(1.4), we substitute x = 1.4 into the exact solution:

y(1.4) = 2.8247

To know more about differential equations, visit the link : https://brainly.com/question/1164377

#SPJ11

If an algorithm is O(n), where n is the input size, then the execution time will scale linearly with the input size.

If an algorithm is O(n), where n is the input size, then the execution time will scale linearly with the input size. Therefore, if the input size is doubled, the execution time will also double. Mathematically, this can be expressed as:

Execution Time (With Doubled Input Size) = 2*Execution Time (With Original Input Size).

For example, if the execution time for an algorithm with an input size of 8 is 10 seconds, then the execution time for an input size of 16 will be 20 seconds. This is due to the fact that the algorithm's complexity is linear, and thus its runtime increases linearly with the input size.

Learn more about linear here:

https://brainly.com/question/27749345

#SPJ4

polynomial function is as follows:

we get: f(x) = -3/4x² + 27/4

Given the information about the graph of a polynomial function is as follows:

y-intercept is (0,9)

The x-intercepts are (-3, 0), (3,0)

Degree is 2

End behavior: as x → -∞, f(x) → -∞, as x → ∞, f(x) → -∞The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are real numbers and a ≠ 0.

The degree of the function is given to be 2, which means that the leading coefficient is a quadratic polynomial, and it has at least one x-intercept.

The leading coefficient is assumed to be 1 or -1 since it is not given.

Let's determine the quadratic function using the given intercepts:

When x = 0, y = 9. Therefore, the constant term in the quadratic function is c = 9.

The x-intercepts are (-3, 0) and (3, 0).

Thus, (x + 3) and (x - 3) are factors of the quadratic function.

Therefore, the quadratic function is in the form off

(x) = a(x + 3)(x - 3) + 9

We can substitute one of the points to determine the value of the leading coefficient.

Substituting the point (3, 0), we have: 0 = a(3 + 3)(3 - 3) + 9

Simplifying the equation, we get: 0 = 12a + 9a = -3/4

The quadratic function is:

f(x) = -3/4(x + 3)(x - 3) + 9

Multiplying the terms and collecting like terms, we get:

f(x) = -3/4x² + 27/4

learn more about function here

https://brainly.com/question/6561461

#SPJ11

Answer:

A

Step-by-step explanation:

Answer: 4, -2

Step-by-step explanation: I just visualized the graph in my head and went from there

Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

\(Copies = 2102\)

\(Photos =5\)

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

The number of paths will be 1248072.

You must move 24 times, up 13 times, and right 11 times.

Consider placing a 13 up and 11 right order.

24 objects can be ordered in 24 different ways.

Both the sequence of the ups and the sequence of the rights are irrelevant.

Because there are 13 possible orders for the ups, you must divide by 13.

Because there are 11 different ways to number rights, you must also divide by 11.

So, The number of paths = 24! / (13! × 11!) = 1248072.

To learn more about Combination and permutation, visit: https://brainly.com/question/28720645

#SPJ4

If 1200 square centimeters of material is available to make a box with a square base and an open top,

The largest possible volume of the box is V = 4000cm^3.

We have 1200 cm^2 worth of material. This represents the surface area of a box with a square base and an open top.

the dimensions of the box.

Square base implies the length and width are the same.

Let x = length/width.

The box has a height as well.

Let h = height

the surface area ; S.

S = (area of base) + (area of 4 walls)

The area of the base is x^2

The area of one of the walls is length times height, or xh. Since there are 4 of them, it would be 4 times xh, or 4xh.

S = x^2 + 4xh

And we know that S = 1200cm^2, so

x^2 + 4xh = 1200

Let's solve for h.

4xh = 1200 - x^2

h = (1200 - x^2) / (4x)

we require the volume formula.

V = (length) x (width) x (height)

And we know all of these.

V = (x)(x)(h)

V = (x^2) h

putting h = (1200 - x^2) / (4x) in the formula

V = (x^2) ( 1200 - x^2)/(4x)

We get a cancellation,

V = x(1200 - x^2)/4

V = (1/4)x (1200 - x^2)

This will be our volume function, V(x).

V(x) = (1/4)(x)(1200 - x^2)

To maximize V(x), we must first take the derivative and then make it 0. Using the product rule (and ignoring the constant 1/4), we have

V'(x) = (1/4) [ (1200 - x^2) + (x)(-2x) ]

Simplify,

V'(x) = (1/4) [ 1200 - x^2 - 2x^2 ]

V'(x) = (1/4) [ 1200 - 3x^2 ]

V'(x) = (1/4) [ 3(400 - x^2) ]

V'(x) = (3/4) [ 400 - x^2 ]

To maximize, make V'(x) = 0, and solve for x.

0 = (3/4) [ 400 - x^2 ]

0 = 400 - x^2

x^2 = 400

x = +/- 20

Therefore,

x = { 20, -20 }

However, since x represents a dimension, it can never be negative, and we must discard the negative solution. That means

x = 20.

This tells us that the maximum volume occurs when x = 20. However, the question is asking WHAT the largest volume of the box is. Solving this is as simple as plugging x = 20 into our volume function, V(x).

V(x) = (1/4)(x)(1200 - x^2)

Therefore,

V(20) = (1/4) (20) (1200 - 20^2)

V(20) = (1/4) (20) (1200 - 400)

V(20) = (1/4) (20) (800)

V(20) = (20/4)(800)

V(20) = 5(800)

V = 4000cm^3

Hence the answer is, the largest possible volume of the box is V = 4000cm^3.

To learn more about Volume functions click here https://brainly.com/question/28336746

#SPJ4

Answer:

i think it 2/7

Step-by-step explanation:

im sorry if wrong

Answer:

y − y1 = m ( x − x1 )

Step-by-step explanation:

Point slope form would include a slope 'm' and a point (x1, y1).

The first option is the general formula for point-slope form.

B is standard form for a straight line (it can also be Ax + By = C)

C is intercept form.

D is slope-intercept form.

Hope this helps.

Given statement solution is :- The alternative hypothesis suggests a one-sided (one-tailed) test, focusing on whether the mean number of miles traveled by western residents is greater than that of eastern residents. In this scenario, it is a one-tailed problem.

To determine whether it is a one-tailed or two-tailed problem, we need to examine the hypothesis being tested.

In this case, the transportation company is interested in whether the number of miles traveled by residents of the western and eastern metropolitan areas differ. They argue that the number of miles traveled by western residents is more than that of eastern residents.

If we set up our hypotheses as follows:

Null Hypothesis (H₀): The mean number of miles traveled by western residents is not significantly different from the mean number of miles traveled by eastern residents (μw - μe = 0).

Alternative Hypothesis (H₁): The mean number of miles traveled by western residents is significantly greater than the mean number of miles traveled by eastern residents (μw - μe > 0).

The alternative hypothesis suggests a one-sided (one-tailed) test, focusing on whether the mean number of miles traveled by western residents is greater than that of eastern residents.

Therefore, in this scenario, it is a one-tailed problem.

For such more questions on One-Tailed Problem

https://brainly.com/question/31464226

#SPJ11

All the possible values of x are given as follows:

26 < x < 28.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

If 27 is the greater side, we have that:

x + 1 > 27

x > 26.

If x is the greater side, we have that:

x < 27 + 1

x < 28.

Hence the interval of possible values is given as follows:

26 < x < 28.

More can be learned about triangles at https://brainly.com/question/1058720

#SPJ1

Answer + Explanation:

let x be the measure of angle x

let y be the measure of angle y

\(\left \{ {{x + y = 180} \atop {x=24+y}} \right.\)

Now, solve:

plug x = 24 + y into x + y = 180

24 + y + y = 180

24 + 2y = 180

2y = 156

y = 78

Now, plug this back into the equation x = 24 + 78

x = 102

Answer:

x= 102

y= 78

Step-by-step explanation:

x+y=180

x= y + 24

2x-24 = 180

Answer:

I don't know which one you meant sorry

All of them?

Only one?

two of them?

Sorry

We can simplify the fraction by dividing both numbers by 4 (or by 2 two times), we will get the equivalent fraction 19/18

Here we have a quotient (or we can also call it a fraction) which is:

76/72

To simplify any fraction, what you need to do is divide both numerator and denominator by the same number.

For example, if we use 2, we will get:

76/2 = 38

72/2 = 36

then we have the equivalent fraction.

38/36

But we can keep simplifying this, divide by 2 again:

38/2 = 19

36/2 = 18

We get:

19/18

We can't simplify this anymore because 19 is prime.

Learn more about fractions at:

https://brainly.com/question/11562149

#SPJ1

Answer:

the answer is

4(1.5d)

Step-by-step explanation:

hope it help

The expression of the total amount paid on snacks is 4(1.5d).

The expression is a sentence with multiple variables and constants connected via mathematical operator. An expression cannot have an equal to “=” sign.

It is known that the cost of a snack for 1 friend is 1.5 times the price of the ticket, d. So, the cost of a snack for 1 friend will be 1.5d

Multiply the cost of snacks for 1 friend by 4, to determine the total cost spent by 4 friends on snacks.

4(1.5d)

Thus, the expression for the total amount spent on snacks will be 4(1.5d).

To learn more about expressions click:

https://brainly.com/question/13947055

#SPJ5

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

The expected loss due to default on the portfolio of 5 loans is given by the formula:

Expected Loss = Probability of Default x Expected Loss per Loan

Expected Loss = 0.25 x (25,000) = 6,250

The variance of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Variance of Loss = Probability of Default x Variance of Loss per Loan

Variance of Loss = 0.25 x (5000)2 = 312,500

Therefore, the standard deviation of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Standard  Deviation of Loss = √Variance of Loss

Standard Deviation of Loss = √312,500 = 556.25

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

One of the alternatives isc=d because when a line meets two parallel lines, matching angles are created and the identical corners are congruent.

Coplanar, straight lines that don't intersect anywhere are considered parallel lines in geometry. Planes in the same three-dimensional space that never cross each other are said to be parallel. Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. Lines in a plane that consistently have the same separation are said to be parallel. Nothing can cross a parallel line. Lines that cross at a straight angle of 90 degrees are called perpendicular lines.

A = d is also a solution due to vertical angles. Finally, b+d=180 since b+c=180 and c=d, and b+d=180 as a result. The solution is therefore B,C,E, where a=d, c=d, and b+d=180.

To know more about parallel lines visit:

https://brainly.com/question/16701300

#SPJ4

In this problem, we have the sequence

5,9,13,17,21,...

Is an arithmetic sequence

the common difference is d=4

there are 20 terms (rows) in the sequence

Remember that

The rule to find the sum of the first n terms of the arithmetic sequence is equal to

where

n=20

a1=5 ----> first term

d=4

substitute given values

S=860

therefore

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Answer:

k = 2

Step-by-step explanation:

the equation representing direct proportion is

y = kx ← k is the constant of proportionality

divide both sides by x , then

k = \(\frac{y}{x}\)

using the point on the line (2, 4 )

k = \(\frac{4}{2}\) = 2

The value of Exterior Angle B in the polygon is equal to 102°.

What is Polygon?

A polygon is a two-dimensional closed object made up of line segments (not curves). Polygon is made up of two words: poly (which means numerous) and gon (which means shape) (means sides). A closed figure requires at least three line segments connected end to end.

We are given eith the exterior angles

∠A = 8x°

∠B = 9x + 3°

∠C = 5x + 4°

∠D = 9x + 5°

And using the property that sum of exterior angles of a polygon is 360°

We can find the value of x

8x + 9x + 3 + 5x + 4 + 9x +5 = 360

31x + 12 = 360

31x = 348

x = 11

∠B =  9*11 + 3° = 99 + 3 = 102°

To learn more about Polygon from the given link

https://brainly.com/question/26583264

#SPJ1

To construct a stem and leaf plot, you first need to separate each data point into a stem and a leaf. The stem represents the leading digit(s) of the data point, while the leaf represents the trailing digit(s).

Once you have organized the data in this way, you can create the plot. The stems are listed vertically, and the leaves are placed horizontally next to their corresponding stems. Make sure to arrange the leaves in ascending order.

Regarding how the stem and leaf plot suggests the sample mean and median will compare, we can look at the distribution of the data. If the leaves are evenly distributed across the stems, it suggests a symmetrical distribution. In this case, the sample mean and median will be similar.

However, if the leaves are concentrated in certain stems, it suggests an asymmetrical distribution. In this scenario, the sample mean and median may differ. The median tends to be less affected by extreme values, while the mean can be influenced by outliers.

Therefore, by examining the stem and leaf plot, you can get a sense of whether the sample mean and median will be similar or different based on the distribution of the data.

Stem and leaf plot https://brainly.com/question/32830750

#SPJ11

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

Answer:

-30

Step-by-step explanation:

Original Equation:

x - 3y

Plug in the values.

6 - 36

-30

Hope I helped :)

Please consider Brainliest :)

Answer:

27.5ft

Step-by-step explanation:

a² + b² = c²

Plug in what you have:

a² + 12² = 30²

Get a by itself:

a² = 30² - 12²

Simplify:

a² = 900 - 144

Simplify:

a² = 756

Simplify:

√a = √756

Then you get 27.49 and when you round you get 27.5

There is sufficient evidence to conclude that the average number of hours women work each week is more than 80 hours

The hypothesIs are

Ha : μ>80

Given the sample size n=68 and sample mean X 83 , sample standard deviation s=10

The test statistic is

t = x~ - 80/s/√n

t= 83-80/10/√68

t- 2.4738634

The P-value of the test is

P-value P(T> 2.4738634)

P-value 0.0080

When  α=0.05,

Reject the null hypothesis since P-value 0.0080 a 0.05

i) The -a) 10090 two-sided confidence interval for mean based on the sample data is

{x}\pm t_{1-\α /2,n-1}\frac{s}/{√n}

Here the 95% confidence interval is

= 83 ± t1-0.05/2,67 10/V68

= (80.58,85.42)

To learn more about the average number of hours

https://brainly.com/question/28420482

#SPJ4

Answer:

Step-by-step explanation:

perp. -4/3

y + 2 = -4/3(x - 3)

y + 2 = -4/3x + 4

y = -4/3x + 2

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

Learn more about Congruent polygons here:

https://brainly.com/question/2096633

#SPJ1