Alice is designing a book shelf. The segment LQ represents the base of the book shelf. Alice wants to construct a line to represent a rack passing through R and parallel to side LQ. She uses a straight edge and compass to complete some steps of the construction. Which of these is likely to be her next step in constructing the rack parallel to LQ?

Answer:Explanation is in a file

Step-by-step explanation:cuft.ly/4RqtIvk

It turns out that the dynamo effect depends on the presence of up to 20% nickel in the Earth's core, a metal that behaves very differently from iron under extreme temperatures.  Unlike the northern hemisphere mineral-rich crust and mantle, the core is made almost entirely of metal—specifically, iron and nickel. The shorthand used for the core's iron-nickel alloys is simply the elements' chemical symbols—NiFe. Elements that dissolve in iron, called siderophiles, are also found in the core.

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The traffic intensity is approximately 0.268.

To calculate the traffic intensity, we need to determine the arrival rate and the service rate in the same units. Currently, the arrival rate is given as 4 vehicles per minute, and the service rate is given as 1 vehicle every 15 seconds.

First, let's convert the arrival rate to vehicles per second. There are 60 seconds in a minute, so the arrival rate in vehicles per second is:

Arrival rate = 4 vehicles / 60 seconds = 0.067 vehicles per second

Next, we need to convert the service rate to vehicles per second. There are 60 seconds in a minute and 1/15 of a minute in 1 second, so the service rate in vehicles per second is:

Service rate = 1 vehicle / (60 seconds / 15) = 1 vehicle / 4 seconds = 0.25 vehicles per second

Now we can calculate the traffic intensity, which is the ratio of the arrival rate to the service rate:

Traffic intensity = Arrival rate / Service rate = 0.067 vehicles per second / 0.25 vehicles per second

Simplifying this expression, we get:

Traffic intensity = 0.067 / 0.25 = 0.268

Therefore, the traffic intensity is approximately 0.268.

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Hello,

\( \frac{10000 \times 6}{10} \)

\(6000\)

Therefore, 6000 will be your answer.

Benjemin

Answer:

The answer would be 127. 03

Step-by-step explanation:

Answer:

59 cm^3

Step-by-step explanation:

You can split the shape into two rectangular prisms.

3*3*1=9

10*5*1=50

9+50=59

Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

The value of DE and DF is 15 and 23.

Given,

Point D is between Points E and F.

DE = 3x + 9

DF = 12x - 1

EF = 38.

We need to find DE and DF.

The sum of the parts separated by the point between two points is equal to the whole length of the line

Example:

A_____B_____C

AC = AB + BC

We have,

Point D is between Points E and F.

E_____D______F

DE = 3x + 9

DF = 12x - 1

EF = 38.

We get,

EF = DE + DF

38 = 3x + 9 + 12x - 1

38 = 15x + 8

38 - 8 = 15x

15x = 30

x = 30/15

x = 2

Now,

DE

= 3x + 9

= 3 x 2 + 9

= 6 + 9

= 15

DF

= 12x - 1

= 12 x 2 -1

= 24 - 1

= 23

Thus the value of DE and DF is 15 and 23.

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Answer:

To solve this problem, we can use a proportion.

Let x be the change of water in 12 weeks.

We know that in 7 weeks, the water decreased by 9 5/8 pints.

So, we can set up the proportion:

9 5/8 pints / 7 weeks = x / 12 weeks

To solve for x, we can cross-multiply and simplify:

9 5/8 pints * 12 weeks = 7 weeks * x

115 1/2 pints = 7 weeks * x

x = 115 1/2 pints / 7 weeks

x = 16 1/2 pints per 12 weeks

Therefore, the change of water in 12 weeks is 16 1/2 pints.

Step-by-step explanation:

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

The correct algebraic expression that describes the circuit displayed is option A. (a + b)c' + ab.

To determine the correct expression, we can use the distributive property and the fact that the complement of a product is equal to the sum of the complements. In other words, (ab)' = a' + b'.

Using the distributive property, we can simplify the expression in option A:
(a + b)c' + ab = ac' + bc' + ab

Now, using the fact that the complement of a product is equal to the sum of the complements, we can simplify further:
ac' + bc' + ab = (a + b)c' + ab

This expression matches the original expression in option A, so option A is the correct answer.

Therefore, the correct algebraic expression that describes the circuit displayed is (a + b)c' + ab.

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Answer:

5

Step-by-step explanation:

3-4-5 Rule: If two of the sides are a combination of 3,4, or 5, then the last number is the leftover one

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:

Step 1: Calculate the number of $500 increments for the loan amount:

Number of $500 increments = loan amount / $500

= $1,693 / $500

≈ 3.386

Since we can't have a fraction of an increment, we round up to 4.

Step 2: Calculate the daily payment:

Daily payment = 25 © * Number of $500 increments

= 25 © * 4

= $100

Step 3: Calculate the total repayment amount:

Total repayment amount = Daily payment * number of days

= $100 * 120

= $12,000

Step 4: Calculate the annual interest rate:

Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)

= ($12,000 - $1,693) / $1,693 * (360 / 120)

Now, let's perform the calculations:

Amount you repay ≈ $12,000

Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)

Calculating the annual interest rate:

Annual interest rate ≈ (($10,307) / $1,693) * 3

Rounding to four decimal places:

Annual interest rate ≈ (6.0905) * 3

≈ 18.2715

Therefore,

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

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Answer:

92 1/15

Step-by-step explanation:

74=19=92

3/5 and 2/5

3times 5 is 15

denominator is 15

9-10=1

92 1/15

hi I am interested for your post ☺ ✨ I am interested to apply to join your company ☺ and simplify I am working I am working for a company in a number ☺ and simplify are some of a number my dear ❤ ☺ is a factor in a number subtract and the following of a number of a number my friend who has issue and a speedy response from you and I have not received for my last year since I was a sequence and simplify and simplify in my team and simplify and the team the first ❤ ☺ and the other numbers of a few weeks ❤ is a factor in a number subtract and is very much ❤ ☺

To calculate Daniel's weekly pay, add his regular pay and overtime pay: Weekly pay = $1038.31.

To calculate Daniel's weekly pay, we need to determine his regular hours and his overtime hours.

Regular hours = 37 hours

Overtime hours = Total hours worked - Regular hours

Total hours worked = 9.5 + 8.5 + 10 + 10 + 10.75 = 49.75 hours

Overtime hours = 49.75 - 37 = 12.75 hours

Daniel's regular pay for 37 hours is:

$18.50/hour x 37 hours = $684.50

Daniel's overtime pay for 12.75 hours is:

$18.50/hour x 1.5 = $27.75/hour (time-and-a-half rate)

$27.75/hour x 12.75 hours = $353.81

Therefore, Daniel's weekly pay is the sum of his regular pay and overtime pay:

Weekly pay = $684.50 + $353.81 = $1038.31

Therefore, Daniel's weekly pay is $1038.31.

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Complete question:

Daniel earns $18.50 an hour, with time-and-a-half for hours worked over 37 a week. His clock hours for a week are 9. 5, 8. 5, 10, 10, and 10.75. How much is his weekly pay?

The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.

The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.

To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).

The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.

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Answer:

5.18 ibs of flour are left

Step-by-step explanation:

Answer:

The second space (13 feet wide & 15 feet long) is the larger space.

Step-by-step explanation:

According to the question,

Thus, The Area Of Rectangle = Length x Width ⇒ 12 × 16 ⇔ 192 Feet² .

Thus, The Area Of Rectangle = Length x Width ⇒ 13 × 15 ⇔ 195 Feet² . Hence it is Clearly Shown here the The second space (13 feet wide & 15 feet long) is the larger space .

The unit worth of resource 1 is -0.25, and the range of its validity is 0 to 24. The unit worth of resource 2 is -1, and the range of its validity is 0 to 1.

The unit worth of a resource is the amount by which the objective function value will increase if the right-hand side of the constraint defining the resource is increased by one unit. In this problem, the first constraint defines resource 1, and the second constraint defines resource 2.

The unit worth of resource 1 can be calculated as follows:

unit worth of resource 1 = -(6x1 + 4x2) / (6) = -0.25

The range of validity of resource 1 is the range of values for the right-hand side of the constraint that will still allow a feasible solution to the problem. In this case, the range of validity of resource 1 is 0 to 24, because the constraint is less than or equal to.

The unit worth of resource 2 can be calculated as follows:

unit worth of resource 2 = -(-x1 + x2) / (1) = -1

The range of validity of resource 2 is the range of values for the right-hand side of the constraint that will still allow a feasible solution to the problem. In this case, the range of validity of resource 2 is 0 to 1, because the constraint is less than or equal to.

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There are 3600 ways to seat 6 people at two round tables, with at least one person at each table.

In this scenario, we have 6 people to seat at 2 round tables, meaning each table must have at least 3 people.

We can start by finding the number of ways to seat 6 people at one table, then divide that by 2 to account for the two tables.

For one round table, there are 6! (6 factorial) ways to seat 6 people. This is because, for the first seat, there are 6 options. For the second seat, there are 5 options remaining; for the third seat, there are 4 options, and so on.

However, this number counts the same arrangement of people multiple times, as the arrangement can start with any person. So, to correct this, we divide 6! by 6, which gives us 720/6 = 120 ways to seat 6 people at one round table.

Now, since we have two tables, each table must have 120/2 = 60 arrangements. This means there are 60 x 60 = 3600 ways to seat 6 people at two round tables.

In conclusion, there are 3600 ways to seat 6 people at two round tables, with at least one person at each table.

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The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Answer:

21

Step-by-step explanation:

18z -7(-3+2z)

-7*-3=21

they dont have variebles so they are your constants. You'd multiply them together to get the whole answer

From the inverse proportion formula, the required value of x, with constant of proportionality, k = 18, when y = 6 is equals to the three.

Inverse proportion is one of type of proportionality relationship. In case of two values are inversely proportional then as one quantity increases, the other decreases. That is the product of the two quantities is equal to a constant value in this case. The formula of inverse proportion is \(y = \frac{k}{x},\)

where, x and y are two quantities

We have y is inversely proportional to x. Also, results x = 6, when y = 3. We have to determine the value of x when y = 6.

Using the above inverse proportion formula, in first condition, \(3 = \frac{k}{6}\)

=> k = 18

so, constant of proportionality, k = 18. Now, substitute k = 18, y = 6, for determining the value of x, \(6= \frac{18}{x}\)

=> x = 3

Hence, required value is 3.

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a. To find the slope of the graph take 2 ordered pairs and replace its values in the following equation:

For example, choose (0,150) and (5,225):

The slope of the graph is 15.

b. The units of the slope (since it is a rate of change) are dollars per feet.

c. We already have the slope of the graph and its y intercept which is (0,150). Use this information to find the slope intercept form equation for the situation:

Answer:

x=5, y=8

Step-by-step explanation:

x+y=13

2x-y=2

add these two equations

3x=15

therefore x=5

apply this value in x+y=13

5+y=13

then y=13-5 = 8

Answer:

x= 5 y=8

Step-by-step explanation:

x+ y=13( equation 1)

2x- y=2( equation 2)

From equation 1 we get:

x=13-y( equation 3)

Put equation 3 into equation 2:

2(13-y)- y=2

26-2y-y=2

26-3y=2

-3y=-24

y=8

Then from equation 3

x=5

Answer:

Option B = 108 cm

Step-by-step explanation:

Please refer the figure attached

As the given figure have four 90° angles,

AB = CH

BC = AH

So, AB = 30 cm , CH = 30 cm

BC = 15 cm, AH = 15 cm

Already given ED = FG = 5 cm, EF = 11 cm

Working note : As, AB = CH = 30 cm

CH = CD + 3cm + GH

30 = CD + 3cm + GH

CD + GH = 27 cm

Perimeter is the overall measure of the boundary of the given figure, ie

AB + BC + CD + DE + EF + FG + GH + AH

= 30 + 15 + CD + 5 + 11 + 5 + GH + 15

= CD + GH + 81

= 27 + 81

Perimeter = 108 cm

Answer:

Its a and b if you can click them both but its not c

Answer: A

Step-by-step explanation: A goes through the origin (0,0) which makes it proportional