Suppose a hard disk with 3000 tracks, numbered 0 to 2999, is currently serving a request at track 133 and has just finished a request at track 125, and will serve the following sequence of requests: 85, 1470, 913, 1764, 948, 1509, 1022, 1750, 131 Please state the order of processing the requests using the following disk scheduling algorithms and calculate the total movement (number of tracks) for each of them. (1) SSTE (2) SCAN (3) C-SCAN Hints: SSTF: Selects the request with the minimum seek time from the current head position. SCAN: The disk arm starts at one end of the disk, and moves toward the other end, servicing requests until it gets to the other end of the disk, where the head movement is reversed and servicing continues. C-SCAN: The head moves from one end of the disk to the other, servicing requests as it goes. When it reaches the other end, however, it immediately returns to the beginning of the disk, without servicing any requests on the return trip. Treats the cylinders as a circular list that wraps around from the last cylinder to the first one.

\(Ainsley \: walked \: in \: \frac{1}{3} \: \: of \: a \: day \ \: = \frac{3}{5} mile\)

\( = \frac{1}{3} \times 24 = \frac{3}{5} \)

\(8 \: hours = \frac{3}{5} \: miles\)

\(Sarah \: walked \: in \: \frac{2}{6} of \: a \: day \: = \frac{5}{8} miles\)

\( \frac{2}{6} \times 24 = \frac{5}{8} \)

\(8 \: hours \: = \frac{5}{8} \: miles\)

Let us see who walked more :

\(Ainsley \: walked \: = \frac{3 \times 8}{40} \)

\( = \frac{24}{40} \: miles\)

\(Sarah \: walked \: = \frac{5 \times 5}{40} \)

\( = \frac{25}{40} \: miles\)

\( \frac{24}{40} < \frac{25}{40} \)

Sarah walked farther than Ainsley .

\( \frac{25}{40} - \frac{24}{40} = \frac{1}{40} \: miles\)

∴ Sarah walked farther than Ainsley by 1/40 miles .

Answer:

48°

Step-by-step explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where \(a=6x-4\), \(b =5x-7\), \(c=8x-18\).

Hence,

\(6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11\)

3) Find the angle of F by substituting 11 into x.

\(=5(11)-7\\=55-7\\=48\)

Therefore, angle F has a measure of 48°.

Answer:

Lenght us 6

Step-by-step explanation:

Answer:

x=5/3

Step-by-step explanation:

10-7=3x+2x

3=5x

x=5/3

Answer:

3/5

Step-by-step explanation:

rerange terms

10−2x=3x+7

−2+10=3+7

subtrace 10 on each side

−2+10−10=3+7−10

then simplify

Answer:

The minimum value is -7 because of the negative sign on the number

Answer: Its -6

Step-by-step explanation:

its -6 because the functions lowest points are -6

Answer:

5 acorns, 4 seed pods, and 4 feathers

Step-by-step explanation:

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

A and D

hope this helps :)

Step-by-step explanation:

Answer: x = 58°

Step-by-step explanation:

Sine = opposite leg ÷ hypotenuse

We need to find the hypotenuse first with the Pythagorean theorem.

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

√c² = √89

c = 9.43398

c ≈ 9.43

Sine = opposite leg ÷ hypotenuse

Opp. leg - 8

Hypotenuse - 9.43

To find this, you have to use the calculator

Make sure the calculator is on scientific

If your calculator is on your computer and in full screen, find 8 ÷ 9.43 and then click sin⁻¹, you should get 58.03334

If your calculator is on your computer in mini screen, find 8 ÷ 9.43. This time, click the arrow that looks smth like this: ↑

When you do that, you should be able to see sin⁻¹, so you click that and you'll also get 58.03334

58.03334 ≈ 58

x = 58°

Hope I helped! Sorry I took so long

Answer:

Step by Step Solution

STEP1:

Solving a Single Variable Equation:

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

No solutions found

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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Answer:4 2/7 - 6/7 = 24/

7

= 3 3/

7

≅ 3.4285714

Step-by-step explanation:

The given equation is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.

Here we have the linear equation:

x - 2 = -2 + x

And we want to see how many solutions it has, so let's solve it.

IF we add 2 in both sides we will get:

x - 2 + 2 = -2 + x + 2

x + (-2 + 2) = x + (-2 + 2)

x = x

Now, that is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.

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(a) Multiple-level NAND circuit for the expression w(x+y+z)+xyz:

          _____

         |     |

x ----|___NAND__|           _____

         |     |          |     |

y ----|___NAND__|-----|___NAND__|

         |     |          |     |

z ----|___NAND__|          |_____|

            |              /\

            |____________/   \

                         |     |

                     w ----|___|

(b) Multiple-level NOR circuit for the expression w(x+y+z)+xyz:

           _____

          |     |

x ----|___NOR__|           _____

         |     |         |     |

y ----|___NOR__|-----|___NOR__|

         |     |         |     |

z ----|___NOR__|         |_____|

            |              /\

            |____________/   \

                         |     |

                     w ----|___|

(a) Multiple-level NAND circuit for the expression w(x+y+z)+xyz:

This circuit is a combination of NAND gates that implements the given expression: w(x+y+z)+xyz. The expression is divided into two parts: w(x+y+z) and xyz.

The first part is calculated using two NAND gates: one with inputs x, y, and z and the other with inputs w and the output of the first gate.

The second part is calculated using another NAND gate with inputs x, y, and z. Finally, the two results are combined using one more NAND gate to obtain the output of the whole expression.

(b) Multiple-level NOR circuit for the expression w(x+y+z)+xyz:

This circuit is a combination of NOR gates that implements the given expression: w(x+y+z)+xyz. The expression is again divided into two parts: w(x+y+z) and xyz.

The first part is calculated using two NOR gates: one with inputs x, y, and z and the other with inputs w and the output of the first gate.

The second part is calculated using another NOR gate with inputs x, y, and z. Finally, the two results are combined using one more NOR gate to obtain the output of the whole expression.

Both circuits use multiple levels of gates to compute the output. The choice of NAND or NOR gates depends on the application and the available hardware.

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The degrees of freedom here is 5.

Given,

A grocery store company wanted to know how well some of their local stores were doing.

The number of sample reviewers they hired to rate 15 local stores = 6

We have to find the degrees of freedom;

Degrees of freedom;-

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

Here,

Degrees of freedom = n - 1

n = 6

Then,

Degrees of freedom = 6 - 1 = 5

That is,

5 is the degrees of freedom in this case.

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The 4 rules of Congruence that are used in proving two triangles congruent are (SSS) Side - Side - Side , (SAS) Side - Angle - Side , (ASA) Angle - Side - Angle and (RHS) Right Angle - Hypotnuse - Side .

The Two Triangles are called Congruent if their sides have same length and angles have same measure.

The Four rules by which we can prove 2 triangles as congruent are :

(i) (SSS) Side - Side - Side ,

The 2 triangles are said to be congruent by SSS rule. If all 3 sides of one triangle are equivalent to the corresponding 3 sides of second triangle .

(ii) (SAS) Side - Angle - Side ,

The 2 triangles are said to be congruent by SAS rule if , any 2 sides and the angle included between sides of one triangle is equivalent to corresponding 2 sides and the angle between sides of second triangle .

(iii) (ASA) Angle - Side - Angle ,

The 2 triangles are said to be congruent by SAS rule if any 2 angles and the side included between angles of one triangle is equivalent to  corresponding 2 angles and side included between angles of second triangle .

(iv) (RHS) Right Angle - Hypotnuse - Side ,

The 2 triangles are said to be congruent by SAS rule if , hypotenuse and a side of a right- angled triangle is equivalent to hypotenuse and side of  second right- angled triangle .

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The 4 rules of congruence

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

SSS (Side-Side-Side) The two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

According to the SAS (Side-Angle-Side) rule, two triangles are said to be congruent if any two sides and any angle included between the sides of one triangle are comparable to the corresponding two sides and any angle included between the sides of the second triangle.

The two triangles are said to be congruent by the ASA (Angle-Side-Angle) rule if any two angles and the side included between the angles of one triangle are comparable to the corresponding two angles and side included between the angles of the second triangle.

AAS (Angle-Angle-Side) (Angle-Angle-Side)

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

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Special characters that define pattern matching rules in a regular expression are known as metacharacters. These metacharacters provide a way to express complex search patterns, allowing for powerful and flexible text manipulation and data extraction.

In a regular expression, metacharacters serve as placeholders or operators to represent specific types of characters or patterns. For example, the dot (.) metacharacter matches any single character, while the asterisk (*) metacharacter matches zero or more occurrences of the preceding character or group. Other commonly used metacharacters include the caret (^), which matches the start of a line, and the dollar sign ($), which matches the end of a line. Additionally, metacharacters like square brackets ([ ]) and backslashes () provide ways to define character classes and escape special characters, respectively.

Regular expressions are widely used in various programming languages, text editors, and command-line tools for tasks such as data validation, search and replace operations, and text parsing. By leveraging metacharacters, developers and users can harness the full power of regular expressions to efficiently and accurately manipulate and extract data from text.

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Answer:

b. 22

Step-by-step explanation:

1.6 x 14 = 22.4

22.4 rounded is 22

people who responded to survey are 120

Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.

Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.

The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.

The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.

The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.

Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.

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She could only solve 24 * 25 if the array has 24 rows and 25 columns or vice versa

From the question, we have the following parameters that can be used in our computation:

Product expression = 24 * 25

An array is a set of items that has rows and columns

The array is not given

However, the true statement is that: for Rosie to evaluate the expression using an array, then the array must be a 24 x 25 array or 25 x 24 array

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Answer:

Step-by-step explanation:

1/2a+20=50

1/2a=30

a=10

Answer:

a= 60

Step-by-step explanation:

1/2a+2/3b=50, when b=30

Let's first subsitute 30 into b:

1/2a+2/3(30)=50

According to the order of operations, we must multiply 2/3 and 30 first.  So:

2/3 times 30 equals 20.

2/3 times 30/1.  3 goes into 30 ten times, so 2 times 10= 20.

Now we got:

1/2a+20=50

Since 20 and 50 are like terms, you want to geth those two together.  So, move the positive 20 to the other side where 50 is.  Since 20 got moved to the opposite side, it changes signs and becomes negative.

So:

1/2a=50-20        

50-20= 30

1/2a=30

Multiply each side by 2 because 2 is the only number that'll make the variable a just 1a.

1/2a times 2= 1a

30 times 2= 60, so:

1a= 60, which is also a= 60.

So a= 60.

The orthogonal complement to S has dimension 0 when the dimension of the vector space is equal to the dimension of S.

We have,

The orthogonal complement to a subspace S of a vector space is the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in S.

The dimension of the orthogonal complement is given by the difference between the dimension of the vector space and The dimension of S.

If S spans the entire vector space, then its orthogonal complement consists only of the zero vector and therefore has dimension 0.

Thus,

The orthogonal complement to S has dimension 0 when the dimension of the vector space is equal to the dimension of S.

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Answer:

6/20=3/10

Step-by-step explanation:

favored portion / entire population

Answer:

4/19

Step-by-step explanation:

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

The cost of the fence used to make the rectangular sheep pen is £57.6. The result is obtained by multiplying the perimeter by the fencing price.

The cost for fencing a building can be calculated by multiplying the price of a certain size of fence by the perimeter or the length side to be fenced.

Bill builds a rectangular sheep pen.

Find the total cost of the fence!

The total cost of the fence will be

= P × fencing cost

= 24 m × £1.20 / ½ m

= 24 × £2.40

= £57.6

Hence, the fence to make the sheep pen will cost £57.6.

Your question is incomplete. But most probably your full question was

Bill needs to build a rectangular sheep pen. The pen must have a perimeter of 24 m. Every half meter of fencing costs him £1.20. Work out the cost of the fence used to make the sheep pen!

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The complete proof that ΔUWX ≅ ΔWUV is explained below.

Congruent triangles are set of given triangles which have equal values of corresponding properties. Thus the triangles have equal dimensions and measure of internal angles.

The two column complete proof required are given below:

              STATEMENT                             REASONS

1. WX ║ UV                                               Given

2. < V ≅ <X                                               Given

3. <VUW ≅ <UWX                                    Definition of alternate angles.

4. UW ≅ UW                                             Reflexive property of congruence

5. ΔUWX ≅ ΔWUV                                   Angle-Side-Angle (AAS) property

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Answer:4

Step-by-step explanation:

1/2 cups equal 120 ml

so we have 500 ml and in order to find how many 1/2 cup can you find 500ml

ans = 500/120 = 4.16666666667 now we will try to convert it into a whole number which equal to four (4)