Hello, please write the answer step by step like this

Step 1: Ex
Step 2: Ex and so on.

The total materials handling cost allocated to the modular homes is $246,372.84.

The total materials handling cost allocated to the Prefab Barns is closest to $108,000.

To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.

Proportion of material moves for Modular Homes:

= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)

= 590 / (590 + 190)

= 0.756

Total materials handling cost allocated to Modular Homes:

= Proportion of material moves for Modular Homes * Total materials handling cost

= 0.756 * $325,890

= 246 372.84

= $246,372.84.

To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.

For Modular Homes:

Total direct labor-hours for Modular Homes:

= 6,000 units * 800 hours/unit

= 4,800,000 hours

For Prefab Barns:

Total direct labor-hours for Prefab Barns:

= 9,000 units * 300 hours/unit

= 2,700,000 hours

Total direct labor-hours for both products:

= 4,800,000 hours + 2,700,000 hours

= 7,500,000 hours

Proportion of direct labor-hours for Prefab Barns:

= 2,700,000 hours / 7,500,000 hours

= 0.36

Allocated materials handling cost for Prefab Barns:

= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost

= 0.36 * $300,000

= $108,000.

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The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.

The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.

To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.

We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,

the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,

we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.

The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7

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Answer:

f(x) = x^2 -2x - 8

Step-by-step explanation:

A quadratic function in factored form (x-a)(x-b) has zeros at (a, 0) and (b, 0). We are given the zeros in the graph are (-2, 0) and (4, 0). Thus, insert that into the factored form equation:

(x - (-2))(x - 4)

(x + 2)(x - 4)

Next, plug in a point from the function into the equation to find if a dilation was applied. Since we currently don’t know what the dilation is, let’s set it to variable d. I’ll be using the point (2, -8)

-8 = d(2 + 2)(2 - 4)

-8 = 4*-2d

-8 = -8d

1 = d

The dilation is 1, so the remaining equation is just (x+2)(x-4). To convert it to standard form, just expand the equation:

x^2 -2x - 8

The capitalization error in the text is "UL". The correct capitalization is "U.S.".

The United States is a proper noun, so it should be capitalized. The abbreviation for the United States is "U.S.". The abbreviation "UL" is not recognized by any style guide.

Here are some examples of how to properly capitalize the United States:

The United States is a country in North America.

The capital of the United States is Washington, D.C.

The flag of the United States is red, white, and blue.

The capitalization error in the text is "UL". The correct capitalization is "U.S.".

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Therefore, the average rate of change over the interval -1 ≤ x ≤ 3 is approximately 0.29.

Given,The table of values represents an exponential function f(x).   x  -1  0  1  2  3f(x)0.8  1.0  1.25  1.56  1.95To find:

The average rate of change over the interval -1 ≤ x ≤ 3Formula used:  Average rate of change = [f(b) - f(a)] / [b - a] where a and b are the initial and final values of x respectively.

Calculation:The average rate of change between x=-1 and x=3 is given by:  Average rate of change = [f(3) - f(-1)] / [3 - (-1)]Put the given values in the formula, Average rate of change = [1.95 - 0.8] / [3 - (-1)]  = 1.15 / 4 = 0.2875 ≈ 0.29 (rounded to the nearest hundredth)Therefore, the average rate of change over the interval -1 ≤ x ≤ 3 is approximately 0.29.

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Answer:

40% profit

Step-by-step explanation:

percentage profit is calculated as

[tex]\frac{profit}{original}[/tex] × 100%

profit = selling price - original price = 490 - 350 = R140 , then

percentage profit = [tex]\frac{140}{350}[/tex] × 100% = 0.4 × 100% = 40%

The patient's hemoglobin count falls to a dangerous 11.4g/dL or less after  5.957 weeks.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

The slope and the intercept for this problem are given as follows:

Hence the function is given as follows:

y = -0.47x + 14.2.

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The cost of one plate is $3.50 and the cost of one cup is $2.20.

Let's denote the cost of one plate as P and the cost of one cup as C. Based on the given information, we can set up a system of equations to solve for the cost of one plate and one cup.

From the first statement:

5P + 4C = 26.30   ...(1)

From the second statement:

6P + 5C = 32.00   ...(2)

To solve the system of equations, we can use the method of elimination or substitution. Let's use the elimination method here.

Multiplying equation (1) by 6 and equation (2) by 5 to make the coefficients of P equal, we have:

30P + 24C = 157.80   ...(3)

30P + 25C = 160.00   ...(4)

Subtracting equation (3) from equation (4), we get:

C = 2.20

Substituting the value of C into equation (1), we can solve for P:

5P + 4(2.20) = 26.30

5P + 8.80 = 26.30

5P = 17.50

P = 3.50

Therefore, the cost of one plate is $3.50 and the cost of one cup is $2.20.

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The difference in minutes of median collection times before and after the well was installed is: 25

Since, A box plot displays the five-number summary of a set of data.

And, The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Clearly after looking at the whisker-box plot we could observe that the middle line in the box represents the median of the data.

Hence we have :

Median(M)=53

For After;

Similarly looking at the box-whisker plot we could observe that the line in the box is at 28.

Hence, Median of the box after installing the well is(M'): 28

Hence,

The difference in Median is calculated as:

= 53-28

= 25

Hence, the difference in minutes of median collection is:

⇒ 25 minutes.

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Check the picture below.

The Area of the given trapezoid is 64 cm2.

A trapezoid is a quadrilateral with one pair of parallel sides.

To calculate the area of a trapezoid, we use the formula:(Base1 + Base2)/2 x Height = Area of the trapezoid The area of a trapezoid can be found by dividing it into two right-angled triangles and a rectangle, as shown below. [tex]A_{trapezoid}= \frac{1}{2}(b_1+b_2)h[/tex]Where, [tex]b_1[/tex] and [tex]b_2[/tex] are the lengths of the two parallel sides of the trapezoid. h is the height (perpendicular distance) between the parallel sides.find the area of the trapezoid

Example: Find the area of the trapezoid shown below.Solution: From the figure, the lengths of the two parallel sides are 6 cm and 10 cm.

The perpendicular distance between the two bases is 8 cm. Substitute the values into the formula to find the area of the trapezoid.Area of the trapezoid [tex]A_{trapezoid}= \frac{1}{2}(b_1+b_2)h[/tex][tex]= \frac{1}{2}(6+10) \times 8[/tex][tex]= \frac{1}{2} \times 16 \times 8[/tex]= 64 cm2.

Therefore, the area of the given trapezoid is 64 cm2.

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The graph that represents the system of inequalities:

x + y > 4

x + y < 3

Is the first one.

Here we have the following system of inequalities:

x + y > 4

x + y < 3

To identify the graph, we can write both of the inequalities as lines in slope-intercept form, then we will get:

y > -x + 4

y < -x + 3

So we will have two dashed lines, we need to shade the region above the first line and the region below the second line.

The first line passes through (0, 4) and the second through (0, 3), then the correct option is the first graph.

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The solution is:

The correct option is;

D) Observational study, is a study which reviews the traffic video of an intersection during rush hour to determine how many people run a run light.

Explanation:

In an observational study, the researcher observes, notes and record the an occurrence of events which are due to the existence of a condition, test, risk factor, such that the experimental units are apparently out of the control of the researcher, or there are no researcher intervention in the study, due to either physical constraint or laid down ethics.

In the question, the researcher observes to determine the the number of people that run a light through pre recorded traffic video providing a physical restraint which makes it an observational study.

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complete question:

A study which reviews the traffic video of an intersection during rush hour to determine how many people

run a run

light. A)experiment B)simulation C)sampling D)observational study

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

Hello!

We convert the fraction to a decimal number:

6/17 = 0.352

There are two parts to the decimal number above:

Integer Part = 0

Fractional Part = 352

Now, we will make the Fractional Part just two digits (nearest hundredth):

0.35

We convert the fraction on 100:

0.35 = 35/100 = 35%

ΔABC ≅ ΔADC by Angle-Side-Angle (ASA) Congruence.

We have,

AC bisects ∠BAD

This means,

∠BAC = ∠DAC

And,

∠BCA = ∠DCA ( given)

Now,

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

ΔABC and ΔADC

∠BAC ≅ ∠DAC

Reason:

∠BAC = ∠DAC (AC bisects ∠BAD into half)

∠BCA = ∠DCA

Reason:

This is given in the figure

AC ≅ AC

Reason:

In two triangles, the two corresponding angles are equal so the remaining corresponding will be equal as well.

The side opposite to this angle is AC.

ΔABC ≅ ΔADC

Angle-Side-Angle (ASA) Congruence.

Thus,m

ΔABC ≅ ΔADC

Angle-Side-Angle (ASA) Congruence.

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The equation of the line, after reflecting and translating it 5 units down, is y - 6 = 1200x - 1205.

To find an equation of a line parallel to the given equation in question 1, we can use the fact that parallel lines have the same slope.

The given equation is f(x) = –4(x – 50)(x – 250).

To determine the slope of this equation, we can rewrite it in slope-intercept form (y = mx + b), where m represents the slope.

Expanding and simplifying the given equation, we have:

[tex]f(x) = -4(x^2 - 300x + 12500)[/tex]

[tex]= -4x^2 + 1200x -50000[/tex]

The slope of this equation can be found by comparing it to the standard form y = mx + b:

m = 1200

Now, we can write the equation of a line parallel to the given equation. Since we don't have specific points, we can use the point-slope form of a linear equation: y - y1 = m(x - x1).

For example, let's choose the point (1, 1).

Plugging in the values into the equation, we have:

y - 1 = 1200(x - 1)

To simplify, we distribute the 1200:

y - 1 = 1200x - 1200

Next, we can translate the line 5 units down by subtracting 5 from both sides of the equation:

y - 1 - 5 = 1200x - 1200 - 5

y - 6 = 1200x - 1205

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The volume of the pyramid, to the nearest cubic foot, is approximately 5 ft^3. The correct option is A.

To find the volume of the solid oblique pyramid, we need to know the formula for the volume of a pyramid. The volume of a pyramid is given by the formula V = (1/3) * A * h, where A is the base area and h is the height of the pyramid.

In this case, the base is a regular pentagon with an edge length of 2.16 ft. The area of a regular pentagon can be calculated using the formula A = (1/4) * √(5 * (5 + 2√5)) * a^2, where a is the edge length. Substituting the given value, we find that the base area is 8 ft^2.

To find the height of the pyramid, we can construct a right triangle within the pyramid. The height of the pyramid corresponds to the height of this triangle.

The angle ACB is given as 30°, and since the triangle is right-angled, the angle opposite to the height is 90° - 30° = 60°. Therefore, we have a right triangle with one angle measuring 60°, and the opposite side is the height of the pyramid.

Now, we can use trigonometry to find the height. Since we know the length of the base and the angle opposite the height, we can use the tangent function. Tan(60°) = height / (2.16 / 2). Solving for height, we find that the height is approximately 1.98 ft.

Substituting the values into the formula for the volume, we have V = (1/3) * 8 * 1.98 ≈ 5.28 ft^3.

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Answer:

so the answer without simplifying is 4/9 but divided by two is 2/4.5 round up and thus the answer is 2/5

Step-by-step explanation:

count the letters

see how many Vowels are there

place in a fraction

simplify

Answer:

Phoenix Suns

Step-by-step explanation:

A: 64.6%

B: 59.8%

C: 78%

D: 68.3%

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The parameters for this problem are given as follows:

[tex]n = 520, \pi = \frac{325}{520} = 0.625[/tex]

Then the lower bound of the interval is given as follows:

[tex]0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57[/tex]

The upper bound of the interval is given as follows:

[tex]0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68[/tex]

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Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

Answer:

-1.5

Step-by-step explanation:

[tex] = \frac{2 - 5}{2 - 0} \\ = \frac{ - 3}{2} \\ = - 1.5[/tex]

The view presented reflects an inclusive and holistic approach to education, recognizing the importance of connecting learning to children's lives and empowering them to become active participants in their local communities and the global society.

The view presented highlights the importance of providing children with a curriculum that is relevant and meaningful to their lives.

By focusing on local contexts while being sensitive to global imperatives, the curriculum aims to equip children with knowledge and skills that can be applied in practical and meaningful ways.

Adopting a curriculum that promotes knowledge in local contexts recognizes the significance of understanding and appreciating one's own community, culture, and environment.

It allows children to connect their learning to their immediate surroundings, making it more relatable and engaging.

Learning about local contexts enables children to develop a sense of identity, pride, and a deeper understanding of their own heritage.

At the same time, being sensitive to global imperatives ensures that children are exposed to a broader perspective beyond their immediate surroundings.

It acknowledges the interconnectedness of our world and the need to prepare children for the challenges and opportunities of a globalized society. Understanding global issues, diverse cultures, and different perspectives fosters empathy, cultural competence, and a sense of global citizenship.

This approach promotes a balanced curriculum that combines local knowledge with global perspectives.

It allows children to develop a strong foundation rooted in their own experiences while encouraging them to explore and engage with the wider world.

By incorporating both local and global elements, the curriculum can nurture well-rounded individuals who are equipped to navigate the complexities of our interconnected world.

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The solution is: the value of x is x = 29.

Here, we have,

given that,

the angles of the triangle are;

35 degrees

52 degrees

3(x + 2)

now, we know that,

sum of angle of triangle is 180 degrees

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.

so, we get,

35 + 52 + 3(x + 2) = 180

or, 3(x + 2) = 93

or, (x + 2) = 31

or, x = 29

Hence, The solution is: the value of x is x = 29.

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Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer:

d ≈ 13.0

Step-by-step explanation:

using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, - 2 ) and (x₂, y₂ ) = (8, - 3 )

d = [tex]\sqrt{(8-(-5))^2+(-3-(-2))^2}[/tex]

  = [tex]\sqrt{(8+5)^2+(-3+2)^2}[/tex]

  = [tex]\sqrt{13^2+(-1)^2}[/tex]

  = [tex]\sqrt{169+1}[/tex]

  = [tex]\sqrt{170}[/tex]

  ≈ 13.0 ( to the nearest tenth )

1. The point on the plane where the lines intersect represents the complex number (CLICK IMAGE)

2. The absolute value of the complex number 12-9i is 15.

1. To plot the complex number 12-9i, we can visualize it on the complex plane. The real part (12) corresponds to the x-axis, and the imaginary part (-9) corresponds to the y-axis.

Plotting the complex number:

On the complex plane, we move 12 units to the right along the x-axis and 9 units downward along the y-axis to represent the complex number 12-9i.

2. Finding the absolute value:

The absolute value (or modulus) of a complex number is calculated using the formula:

|a + bi| = √(a^2 + b^2)

For the complex number 12-9i, the absolute value is:

|12-9i| = √(12^2 + (-9)^2)

= √(144 + 81)

= √225

= 15

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