meritor is so pleased with the outcome from previous suggestions that the consultants are invited back for more work. the consultants now suggest a more complete robotic automation of the making of muffler assemblies and also a reduction in container size to eight per container. meritor implements these suggestions and the result is that the muffler assembly fabrication cell now average approximately 32 per assemblies per hour, and the catalytic converter assembly cell can now respond to an order for batch of catalytic converters in on hour. the safety stock remains at 12.5 percent. how many kanban cards are needed?

\( \large \mathfrak{Solution : }\)

let's solve for f(-9) :

Step-by-step explanation:

that's all

thank you

Answer:

Step-by-step explanation:

Given a graph of cars left at Car Mart after x days with points (2, 43) and (3, 32), and points for Winston's dealership of (3, 32) and (5, 12), you want to know the rate of decrease in cars left for the two dealerships.

The rate of decrease is the amount of decrease divided by the time over which it occurs.

The number of cars remaining decreases from 43 on day 2 to 32 on day 3. The amount of change is ...

  change = 32 cars -43 cars = -11 cars

The time period is ...

  time = (3 days) - (2 days) = 1 day

Then the rate of change is ...

  change/time = -11 cars/(1 day) = -11 cars/day

Car Mart sells 11 cars per day.

The similar calculations give a rate of change of ...

  change/time = (12 cars -32 cars)/(5 days -3 days) = -20 cars/(2 days)

  change/time = -10 cars/day

Winston's sells 10 cars per day.

Answer:yes they are considered real numbers

Step-by-step explanation:

Answer:

Multiply the numerator by the reciprocal of the denominator. Multiply x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=1x f - 1 ( x ) = 1 x is the inverse of f(x)=1x f ( x ) = 1 x .

Step-by-step explanation:

:)

Answer:

What can I answer ehh that's just an help ‍♀️‍♀️

Answer:

yes, they will be able to make at least 10 arrangements using each type of flower

no, they will not be able to make 100 arrangements using each type of flower.

Step-by-step explanation:

Explain your thinking: The shop makes arrangements with only the same type of flower. We know that each arrangement requires 36 flowers. By analyzing the data, we can see how many arrangements they can make based on each flower type.

There are 580 tulips - and we need 36 per arrangement

580/36= 16 arrangements of tulips

There are 2,410 daisies

2410/36= 66 arrangements of daisies

There are 4,000 carnations

4,000/36= 111 arrangements of carnations.

Since there are at least 10 arrangements per set of flowers, the first statement is true (we CAN make at least 10 arrangements using each type of flower)

Since there is only 16 arrangements for tulips and 66 for daisies, we CANNOT have at least 100 arrangements per flower type

We see that both triangles are similar, so their corresponding sides are proportional. We have

Then, the height of the wall is 15 ft.

The perimeter of the square of side 5 cm  is 20 cm

The perimeter of a square is calculated with the formula:

Perimeter = 4 * length of side

length of the side = 5 cm

Perimeter = 4 * 5 cm

Perimeter = 20 cm

Therefore, the perimeter of the square is 20 cm

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By definition of perimeter, the correct answer is option C. the perimeter of the square is 20 cm.

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:

A square is a flat geometric figure that has four equal sides, so the expression to calculate the perimeter of a square is:

Perimeter= 4× length of the sides

In this case, a square has a side length of 5 cm. So, the perimeter of the square is calculated as:

Perimeter= 4× 5 cm

Solving:

Perimeter= 20 cm

Finally, the correct answer is option C. the perimeter of the square is 20 cm.

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The Excel feature that has been updated to let you simultaneously view as many as six statistics about a cell selected in the work area is called the "Quick Analysis Tool."

This tool was first introduced in Excel 2013 and has since been updated in later versions of Excel.

To use the Quick Analysis Tool, simply select the cell or range of cells that you want to analyze. Once selected, a small icon will appear in the bottom right corner of the selection.

Clicking on this icon will open up a menu of options, including formatting, charts, totals, tables, and sparklines.

The "totals" option is where you can find the six statistics about the selected cell or range of cells. These statistics include average, count, numerical count, maximum, minimum, and sum.

By selecting this option, Excel will automatically calculate these statistics and display them in a small table next to your selection.

This feature is particularly useful for quickly analyzing data without having to manually calculate each statistic. It also allows you to easily compare multiple cells or ranges of cells by displaying their statistics side by side.

In addition to the Quick Analysis Tool, Excel also has several other features for analyzing data, including PivotTables and PivotCharts. These tools allow you to summarize and visualize large amounts of data in a variety of ways.

Overall, the Quick Analysis Tool is a powerful and convenient feature that can save time and improve productivity when working with data in Excel.

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Step-by-step explanation:

We have the points (0, 0) and (8, 14).

Rise between the points = 14 - 0 = 14.

Run between the points = 8 - 0 = 8.

Slope of Line

= Rise/Run = 14/8 = 1.75.

The charge on the capacitor at time t is given by q(t) = -21292.5e^(-0.00878t) + 21292.5e^(-314.53t) + 626000 coulombs.

To find the charge on the capacitor, with the initial conditions q(0) = 0 coulombs and i(0) = 0 amperes, we use the given linear differential equation:

L d^2q/dt^2 + R dq/dt + 1/C q = E(t)

We can solve for q(t) by finding the roots of the characteristic equation, and assuming a particular solution. Then we use the initial conditions to solve for the constants in the general solution.

The solution to the differential equation is:

q(t) = -21292.5e^(-0.00878t) + 21292.5e^(-314.53t) + 626000

Therefore, the charge on the capacitor at time t is given by q(t) = -21292.5e^(-0.00878t) + 21292.5e^(-314.53t) + 626000 coulombs.

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Answer:

0.2

Step-by-step explanation:

1.6/8=0.2

hope this helps :3

if it did pls mark brainliest

From the information given about the above matrix, the value of |J| is 16.

It is to be noted that a Matrix, is a set of numbers arranged in rows and columns so as to form a rectangular array.

Given that J = [-1428];

Hence, the determinant of the matrix J is:

|J| = |(-1 * 8) - (4 *2)]

|J|  = |-8 - 8|

|J|  = | 16|

|J| = 16

Therefore, the value of  |J|  is 16.

Note: The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some properties of the matrix as well as the linear map represented by the matrix.

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Answer:

a) 38.40 yd  (2 dp)

b) 211.18 yd²  (2 dp)

Step-by-step explanation:

Formula

\(\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)\)

\(\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2\)

\(\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}\)

Calculation

Given:

\(\begin{aligned}\implies \textsf{Arc length} &=2 \pi (11)\left(\dfrac{200^{\circ}}{360^{\circ}}\right)\\ & = 22 \pi \left(\dfrac{5}{9}\right)\\ & = \dfrac{110}{9} \pi \\ & = 38.40\: \sf yd \:(2\:dp)\end{aligned}\)

\(\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{200^{\circ}}{360^{\circ}}\right) \pi (11)^2\\& = \left(\dfrac{5}{9}\right)\pi \cdot 121\\& = \dfrac{605}{9} \pi\\& = 211.18\: \sf yd^2 \:(2\:dp)\end{aligned}\)

Please note:  As you have not specified if π should be approximated, I have not used an approximation for π.

= (-54)

Step-by-step explanation:

ATQ

4+2(x+6)^2

6(x^2+12x+216)=0 [ {a+b}^2 = a^2+2ab+b^2 ]

6x^2 +72x+216=0

Put the value of x=(-3)

So ,

6x^2 +72x+36=0

6(-3)^2+72(-3)+216=0

6×(-9)+72×(-3)+216=0

(-54)+(-216)+216=0

= -54

Hence, the solution is -54 at x=(-3).

Thank You

Answer:

11 and 22

Step-by-step explanation:

Let x be the first number

the second number is twice the first one so it's 2x

The equation is

so the first number is 11 and the second one 22 (11*2)

Answer:

2x + x =33

Step-by-step explanation:

let the number be ''x''

the other number is 2 times as large, so it is 2x

their sum is 33

find the value of x

2x + x = 33

3x = 33

3x= 33  

x = 33/3   (divide 3 on both sides )

x = 11

apply the value of x

2 (11) + 11 = 33

22 + 11 = 33

Answer:

D.

Step-by-step explanation:

Focus on one point and see how it shifts.

Now just count the unit shifts.

Answer:

A six-sided plane figure.

Answer:

Step-by-step explanation:

Its a six sided shape here is a picture:

n(p(a)) = 256

256 = 2^8

n(a) = 8

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a) 55 people expect to be between 165 and 175 cm.

b) 76 people to be taller than 166 cm.

What is Standard normal distribution?

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

a) To answer this question, we can use the standard normal distribution table to find the proportion of heights that fall within certain ranges of the mean.

The standard normal distribution table gives us the proportion of values within a certain number of standard deviations of the mean.

Since the standard deviation of the heights is 5, we can find the proportion of heights between 165 and 175 cm by looking at the range of values that are one standard deviation below and one standard deviation above the mean.

The mean of the heights is 170, so one standard deviation below the mean is 170 - 5 = 165. One standard deviation above the mean is 170 + 5 = 175. Therefore, the range of heights that are one standard deviation below and one standard deviation above the mean is 165 to 175.

If we look at the standard normal distribution table, we find that approximately 68% of the values fall within one standard deviation of the mean. Since 80 is approximately 68% of 118, we would expect approximately 55 people to have heights between 165 and 175 cm.

Hence, 55 people expect to be between 165 and 175 cm.

b) For the second part of the question, we can find the proportion of heights that are taller than 166 cm by looking at the range of values that are more than one standard deviation above the mean.

The mean of the heights is 170, so more than one standard deviation above the mean is anything greater than 175. If we look at the standard normal distribution table, we find that approximately 95% of the values fall within two standard deviations of the mean.

Since 80 is approximately 95% of 84, we would expect approximately 76 people to be taller than 166 cm.

Hence, 76 people to be taller than 166 cm.

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Answer:

801.66

Step-by-step explanation:

calculator

Answer:

801.6632653061

Step-by-step explanation:

.......

In R.V. Cassill's story "The First Day of School," John experiences a mix of emotions and actions on his initial day at a new school.

He feels anxious, uncertain, and curious about the challenges and experiences that await him. As he navigates through the day, John exhibits both courage and vulnerability as he encounters unfamiliar situations, such as meeting new classmates, adapting to a new environment, and learning from his teacher.

The story highlights the universal experience of coping with change and showcases the resilience and adaptability that children, like John, often display in the face of new and sometimes daunting experiences. Ultimately, John's first day at school serves as a transformative experience that helps shape his identity and self-confidence.

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The value of y coordinate of the unit circle is given by \(\sqrt{7}/4\)

Given that,

x - coordinate of p =-3/4 . Let the co-ordinate of point P = (-3/4 , y).

To find : The y coordinate in Quadrant IV

By using the formula for unit circle,

Unit circle means a circle whose radius is one or 1

x²+ y² = 1

y²+ (-3/4)² = 1

y²+ (9/16) = 1

y² = 1 -9/16

y² = 7/16

y= \(\sqrt{7/16}\)

y =  ± \(\sqrt{7}/4\)

It is given that point P is in quadrant IV so in IV quadrant y is positive.

Therefore, y =  \(\sqrt{7}/4\)

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The value of integers c and I such that the ith random variable has the same distribution as x is C = 1, i = 4, and 10ci = 40

The CDF of x represents the cumulative probability that x takes on a value less than or equal to a given number. Since x represents a 4-sided die roll,

The CDF of x is a step function defined

F(x) = 0 for x < 1

F(x) = 1/4 for 1 ≤ x < 2

F(x) = 2/4 for 2 ≤ x < 3

F(x) = 3/4 for 3 ≤ x < 4

F(x) = 1 for x ≥ 4

Now, let's consider the random variable u, which is uniformly distributed on (0,1]. The CDF of u is given by:

G(u) = u for 0 < u ≤ 1

To find c and I such that the ith random variable has the same distribution as x, we need to equate the CDFs of x and u.

F(x) = G(u)

Comparing the CDFs, we can see that F(x) jumps by 1/4 at each interval, while G(u) increases linearly with u.

To match the CDFs, we can set i = 4 and c = 1. This means that we take the fourth roll of the 1-sided die (i.e., the constant value of 1) to obtain the same distribution as x.

Therefore, 10ci = 10 × 1 × 4 = 40.

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Answer:

48874

Step-by-step explanation:

The midpoint of the segment with endpoints (9, 7, 3) and (5, 3, 2) is (7, 5, 2.5).

To find the distance between two points in three-dimensional space, we can use the formula:

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\)

Let's calculate the distance between the points (9, 7, 3) and (5, 3, 2):

Distance = \(\sqrt{(5 - 9)^2 + (3 - 7)^2 + (2 - 3)^2}\)

= (\(\sqrt{(-4)^2 + (-4)^2 + (-1)^2}\)

= \(\sqrt{(16 + 16 + 1)}\)

= \(\sqrt{33}\)

≈ 5.7 (rounded to the nearest tenth)

Therefore, the distance between the points (9, 7, 3) and (5, 3, 2) is approximately 5.7.

To find the midpoint of the segment with these endpoints, we can use the midpoint formula:

Midpoint = \((x_1 + x_2) / 2, (y_1 + y_2) / 2, (z_1 + z_2) / 2)\)

Let's calculate the midpoint:

Midpoint = ((9 + 5) / 2, (7 + 3) / 2, (3 + 2) / 2)

= (14 / 2, 10 / 2, 5 / 2)

= (7, 5, 2.5)

Therefore, the midpoint of the segment with endpoints (9, 7, 3) and (5, 3, 2) is (7, 5, 2.5).

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Answer:

=1

Step-by-step explanation:

Answer:

A&C

A. Sophia should have found the number the dimensions were multiplied by.

C. Sophia should have set up a proportion to solve for X.

Answer:

A and C

Step-by-step explanation:

Sophia was asked to find the original dimension of a reduced hexagon.

A smaller hexagon has a top side length of 1.2 inches and bottom side length of x inches. A larger hexagon has a top side length of 7.2 inches and bottom side length of 9 inches.

Sophia found that the enlarged hexagon’s dimensions were just 6 more than the original hexagon, thus x = 3. What was Sophia’s error?

Sophia should have found the number the dimensions were multiplied by.

Sophia should have divided 9 and 6 .

Sophia should have set up a proportion to solve for x.

Sophia should have multiplied 7.2 and 1.2.

Sophia is correct and did not make an error.