Find 20 rational numbers between 2/7 and 5/9.
pls ans. very much needed​

Answer:

is this helpful? and is this what u wanted

Explanation

The unit rate os obtained as shown as follows:

Answer is A. The unit rate is equal to $17.

Step-by-step explanation:

the beginning number is the beginning of your range the last number is the end of your range

Answer:

$720

Step-by-step explanation:

(4000)(0.03)(6)

Answer:

76 m^2

Step-by-step explanation:

I bet you already turned this in

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = \(\int_a^b \delta\left|r^{\prime}(t)\right| d t\)

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

\(\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}\)

Further simplifying;

\(\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}\)

Now, use integration to find the mass of the wire;

       \(\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}\)

Therefore, the mass of the wire is estimated as 40π√2 units.

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The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

The equation of the parabola below in the standard form y = (1/2)x² + x - (5/2)

To express the equation of the parabola in standard form, we need to rearrange the equation to isolate y on one side.

Starting with the given equation: x² + 2x - 2y - 5 = 0

First, let's move the constant term to the other side:

x² + 2x - 2y = 5        

Next, we want to complete the square to convert the equation into the standard form of a parabola. To do this, we need to group the x-terms and the y-term:

(x² + 2x) - 2y = 5

Now, we focus on completing the square for the x-terms. To do this, we take half of the coefficient of the x-term (which is 1), square it (1² = 1), and add it to both sides of the equation:

(x² + 2x + 1) - 2y = 5 + 1

Simplifying the equation:

(x + 1)² - 2y = 6

To eliminate the coefficient of 2 in front of the y-term, we divide the entire equation by -2:

-1/2(x + 1)² + y = -3

Finally, we rearrange the terms to isolate y:

y = (1/2)(x + 1)² - 3

Therefore, the equation of the parabola in standard form is y = (1/2)x² + x - (5/2).

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On a graph, the absolute value of a number is always non-negative.

The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.

This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.

It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.

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Answer:

2x^2 + 5x^2 - x - 6

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

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(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

Answer:

hey

Step-by-step explanation:

pls pls plssss can you give me brainiest Plsss

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

We can write the given series as:

∑ (-1)^n / (n*2^n), n=1 to infinity

To approximate the sum of the series using the first six terms, we can simply add up the first six terms:

(-1)^1 / (12^1) - (-1)^2 / (22^2) + (-1)^3 / (32^3) - (-1)^4 / (42^4) + (-1)^5 / (52^5) - (-1)^6 / (62^6)

Simplifying this expression, we get:

1/2 - 1/8 + 1/24 - 1/64 + 1/160 - 1/384

= 0.5279 (rounded to four decimal places)

Therefore, the sum of the series, approximated by using the first six terms, is approximately 0.5279.

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Answer:

The 2nd answer is the correct

Step-by-step explanation:

Hope this helps:)

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Data of pollution of water resources,

a) The statistical model of linear regression for this problem is y = 52.9 + 0.461x.

b) The predicted value of IBI is equals to the 78.26, when area is 55 square kilometers and 84% of forest.

There is a study of pollution of water resources which is a serious problem and these require efforts and funds to rectify. Number of watershed are provided in the above file, n = 49

First we have to determine the statistical model of simple linear regression for this problem, Let the y = IBI value and x = area then the general regression line for simple linear model is \(y = \beta_0 + \beta_1 x + εᵢ\); where i = 1,2,...n

Now, we calculating the value of variables β₀ and β₁ using Excel command for both, β₀ = 52.9 and β₁ = 0.461. So, the regression line equation is y = 52.9 + 0.461x.

b) The watershed area = 55 sq. kilometres

The percentage of forest (in %) = 84%

The predicted value of IBI say y, with area, x = 55 Km². So, \(\hat y = \beta_0 + \beta_1 x \);

Substitute known values

= 52.9 + 0.461 × 55

= 78.26

Hence, required value is 78.26.

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Complete question:

Pollution of water resources is a serious problem that can require substantial efforts and funds to rectify. In order to determine the financial resources required, an accurate assessment of the water quality, which is measured by the index of biotic integrity (IBI), is needed. Since IBI is very expensive to measure, a study was done for a collection of streams in the Ozark Highland ecoregion of Arkansas in which the IBI for each stream was measured along with land use measures that are inexpensive to obtain. The land use measures collected in the study are the area of the watershed in square kilometers, Area, and the percent of the watershed area that is forest, The data collected from the n = 49 watersheds are provided in the file present above and each of the explanatory variables.

a) Provide statistical model of simple linear regression for this problem and run it.

Researchers would like to estimate the IBI for a stream that was not a part of this study.

b) What is the predicted IBI when the area of the watershed is 55 square kilometers and is 84% forest.

The number of visits that Madelyn needs to make to the movie theater to earn a free movie ticket would be= 10.

The number of points that Madelyn received for just signing up with the movie theater = 70 points.

The number of points she earns for each visit = 4.5 points

The total number of points the she needs = 115 points.

Let the total visit she requires = n

That is;

70+4.5n = 115

4.5n = 115-70

4.5n = 40

n = 10

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Step-by-step explanation:

We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

\( {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \)

Given, the equation of circle

\( {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} \)

By comparing, we will get,

h = -2

k = 3

So, center of the circle is ( -2,3)

\(\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ \)

Answer:

-2;3

Step-by-step explanation:

we have a formular

(x-a)^2 +(y-b)^2=c

the center of the cirlce is (a;b)

so in this case it's (-2;3)

Answer:

P and Q add up to 90°.

Step-by-step explanation:

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Steps 4 and 5 describe the errors Stephen made.

Stephen evaluated \((6.34\times 10^{-7})(4.5\times 10^3)\).  

His work is shown below.

Step 1 - \((6.34\times 10^{-7})(4.5\times 10^3)\)

Step 2 - \(=(6.34\times 4.5)(10^{-7} \times 10^3)\)

Step 3 - \(=(28.53)(10^{-4})\)

Step 4 - \(20.53\times 10^4\)

Error is the step as 4 sign is negative.

So correct step is \(=(28.53)(10^{-4})\)

Step 5 - \(=(28.53)(10^{-4})\)

Error is the step as there are 4 in place of 3.

So correct step is \(=(28.53)(10^{-4})\)

Steps 4 and 5 describe the errors Stephen made.

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To guarantee we have a matching pair of socks, we need to pick n+1 socks from the unsorted pile.

The explanation behind this is known as the Pigeonhole Principle. In this scenario, each sock can be considered as a "pigeonhole" and the act of picking a sock corresponds to placing a pigeon into a pigeonhole. Since we have n pairs of socks, we have a total of 2n socks or pigeonholes.

To guarantee a matching pair, we need to fill all possible options for a pair, which means we need to pick at least n+1 socks. This ensures that we have chosen at least two socks from one pair, guaranteeing a match.

By applying the Pigeonhole Principle, we can confidently state that picking n+1 socks from the unsorted pile will guarantee that we have a matching pair.

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The data is not being read file and entered into the pretty table because there is a name error, `imFormat`, `imType`, `imWidth`, and `imHeight` are not declared in all cases before their usage. Here is the modified version of the script with corrections:```
# Python Standard Library
import os
from prettytable import PrettyTable
from PIL import Image

myTable = PrettyTable(["Path", "File Size", "Ext", "Format", "Width", "Height", "Type"])
dirPath = input("Provide Directory to Scan:")
if os.path.isdir(dirPath):
   fileList = os.listdir(dirPath)
   for eachFile in fileList:
       try:
           localPath = os.path.join(dirPath, eachFile)
           absPath = os.path.abspath(localPath)
           ext = os.path.splitext(absPath)[1]
           filesizeValue = os.path.getsize(absPath)
           fileSize = '{:,}'.format(filesizeValue)
       except:
           continue

       # 3rd Party Modules from PIL
       imageFile = input("Image to Process: ")
       try:
           with Image.open(absPath) as im:
               # If successful, get the details
               imStatus = 'YES'
               imFormat = im.format
               imType = im.mode
               imWidth = im.size[0]
               imHeight = im.size[1]
       except Exception as err:
           print("Exception: ", str(err))
           continue
       myTable.add_row([localPath, fileSize, ext, imFormat, imWidth, imHeight, imType])

   print(myTable)
```The above script now reads all the images in a directory and outputs details like format, width, and height in a pretty table.

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Based on the given options, the correct answer is: OC. Jack interpreted the mean as the median. Half the cats weighed less than 7.96 pounds and half weighed more.

The mean is a measure of central tendency that represents the average of a set of data. It is calculated by adding up all the values in the data set and then dividing by the total number of values.

In this case, Jack interpreted the mean of 7.96 as meaning that half the cats weighed less than 7.96 pounds and half weighed more. However, this is incorrect because the mean does not necessarily divide the data set into two equal halves.

The median, on the other hand, is the middle value in a sorted list of numbers. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

If Jack had interpreted the median as meaning half the cats weighed less than its value and half weighed more, he would have been correct. However, he incorrectly interpreted the mean as the median.

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The general solution of the system x'(t) = Ax(t), where A is the given matrix, can be found by solving the system of linear differential equations associated with it.

To find the general solution, we need to solve the system of linear differential equations x'(t) = Ax(t), where x(t) is a vector-valued function and A is the given matrix.

The solution involves finding the eigenvalues and eigenvectors of the matrix A. The general solution will have the form x(t) = c₁v₁e^(λ₁t) + c₂v₂e^(λ₂t) + ... + cₙvₙe^(λₙt), where c₁, c₂, ..., cₙ are constants, v₁, v₂, ..., vₙ are eigenvectors, and λ₁, λ₂, ..., λₙ are eigenvalues of A.

This general solution represents a linear combination of exponential functions, where each term corresponds to an eigenvalue-eigenvector pair. The specific values of the constants are determined by initial conditions or boundary conditions provided in the problem.

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The average number of accidents per day in this scenario is an example of a population parameter.

A population parameter is a numerical value that describes a characteristic of a population. In this case, the average number of accidents per day is a population parameter because it represents the true average number of accidents that occur daily in the entire population of the city. It is an unknown value that we aim to estimate or infer based on available data. The Department of Transportation has noted this average based on their observations and records, which provides an estimate of the population parameter.

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Answer:

5 cm hope this helps

Step-by-step explanation:

pls mark me brainiest

Answer:

5 cm

Hope this helps you don't need to mark me brainiest :)

The critical value to be used in constructing the 99% confidence interval is 2.576.

Step 1: Finding the Critical Value

To determine the critical value for constructing a 99% confidence interval, we need to refer to the z-table or use a statistical calculator. The critical value corresponds to the desired level of confidence and takes into account the sample size.

Since the sample size is large (n = 77) and the population is assumed to be approximately normal, we can use the z-distribution to find the critical value. For a 99% confidence interval, the critical value is found by subtracting half of the desired confidence level from 1 and dividing the result by 2.

In this case, the calculation would be:

(1 - 0.99) / 2 = 0.005

The corresponding critical value is then determined by finding the z-score that has an area of 0.005 in the upper tail of the standard normal distribution. Consulting a z-table or using a statistical calculator, the critical value is approximately 2.576 (rounded to three decimal places).

Therefore, the critical value to be used in constructing the 99% confidence interval is 2.576.

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