How many sewing machines would be needed if operations ran two 8-hour shifts per day, 5 days per week? (Round answer to nearest whole numbers, e.g. 15.)

The arrangement of expressions from least to greatest is c, a and b

The given expressions are

a. 4-6

b. -4+6

c. -4-6

We need to arrange from least expression to greatest

What is Ascending Order?

The arrangement of numbers from least to greatest

Solve a, b and c expressions

a. 4-6=-2

b. -4+6=2

c. -4-6=-10

We know that -10<-2<2

Therefore the arrangement of expression from least to greatest is c, a and b

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From the  X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.

According to the Question:

Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at

(x₁, y₁) = (−5.0cm,−2.5cm).

Now,

The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).  

Now,

The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃)​ = (5cm,−15cm).

(a) The x coordinate of the center of mass for the plate is

   \(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)

            = -0.45 cm

(b) The y coordinate of the center of mass for the plate is

    \(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)

             = -2.0 cm.

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Answer:

The answer is "35,868,500 people".  

Step-by-step explanation:

In this question, the chance of people that have traveled above 50 miles is calculated. The chance of success is the probability.

\(n=50000\\\\ p=15595\)

\(\to P(x\geq 50)=\frac{15595}{50000}=0.3119\)

The population of the United States is at 1150000.

Let's determine that portion of the current population has gone more than 50 miles:

\(\to E(X)=np,N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\=35868500\)

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer: 8 + 2.25x = 35

Step-by-step explanation: When you bought the tree it was already 8 feet tall. each year you have it, which is what x represents after putting 2.25 in front of x. it would somehow equal 35. 1st year 2.25 2nd year 4.5 3rd year 6.75 4th year 9 so on and so forth.

Answer:

conventions

Step-by-step explanation:

Answer:

Conventions

Step-by-step explanation:

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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The amount of money saved by Kaitlin is $6.

We have,

Cost of Game= $12

Amount Kaitlin saved= 1/2 of total money

So, She saved

= 12 x 1/2

= 12 x 1/2

= 6 x 1

= $6

Thus, Kaitlin saved $6.

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REmember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

Verify

Triangle 2

Find out the interior angles

47, 64,x

the sum must be equal to 180 degrees

47+64+x=180

x=69 degrees

Triangle 3

interior angles

47,69 and the third angle must be 64 degrees

that means

triangle 2 and triangle 3 are similar

Answer: 6

Step-by-step explanation: 288

=

3

(

4

)

×

w

×

4

w

=

288

3

(

4

)

⋅

4

=

72

12

=

6

I think <3

Answer:

The width is  

6  cm. You can find it by taking the formula for the volume of a cube and rearranging it to find the width.

Step-by-step explanation:

Answer:

  d = 50h

Step-by-step explanation:

  distance = speed × time

Lumpy's distance (d) in miles, after driving h hours at 50 miles per hour, is given by ...

  d = 50h

Remember that the slope-intercept equation of the line is:

where 'm' is the slope and b is the y-intercept.

In this case, we have the following:

therefore,, the slope is m = 2

It can be stated that a minimum of 90.82% of houses would fall within the price range of $418,500 to $621,500.

The given data are as follows:

Mean price (μ) = $520000

Standard deviation (σ) = $58000

Price range: $418500 to $621500

We are to find the percentage of homes priced between $418500 and $621500.To find the required percentage, we first need to standardize the given range of prices by converting them into z-scores.

The z-score formula is z = (x - μ) / σwhere x is the price, μ is the mean price, and σ is the standard deviation. So, for the lower limit: z₁ = (418500 - 520000) / 58000 = -1.75 And for the upper limit: z₂ = (621500 - 520000) / 58000 = 1.75

Now, we need to find the area under the normal curve between these two z-scores, which represents the percentage of homes priced between $418500 and $621500. To do this, we can use a calculator.

The area between $418500 and $621500 corresponds to the area between z₁ and z₂ on the standard normal distribution curve. The area between z₁ and z₂ is 0.9082 (rounded to 4 decimal places).

Therefore, we can say that at least 90.82% of homes would be priced between $418500 and $621500.

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Answer:

The top choice is the answer. a1=7; an= 3*a_(n-1)

Step-by-step explanation:

Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.

Take the 3rd term (63) and divide it by the second term.

63/21 = 3

What this means is that each term in the sequence is multiplied by 3 to get to the next term.

The first term is 7

So the answer is an = 3* a_n-1

The answer must be the top one. See if it works.

a2 = 3*a_(2 -1 )

a2 = 3 * a1

a2 = 3 * 7

a2 = 21 which it does.

The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.

In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.

Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.

The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.

To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.

The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.

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The joint density of (a) u = xy, v = x/y is given by:

\(\[f_{U,V}(u,v) = \begin{cases} \frac{1}{|v|} & \text{if } 0 < u < v < 1, \\0 & \text{otherwise}.\end{cases}\]\)

To find the joint density of u and v, we need to determine the range of values for u and v and the corresponding density function. Let's consider each case:

For 0 < u < v < 1, we can express u and v in terms of x and y as follows: u = xy and v = x/y. Solving these equations for x and y gives us x = u/v and y = v/u. To ensure that x and y are within the range (0, 1), we need 0 < u/v < 1 and 0 < v/u < 1. Rearranging these inequalities, we have u < v and u > v, which are contradictory.

Therefore, this case is not possible, and the joint density is 0.

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The surface area of the given cuboid is 22 cm²

From the question,

We are to calculate the surface area of the given cuboid.

The formula for calculating the surface area of a cuboid is

\(S.A = 2lw + 2lh + 2hw\)

Where,

\(l\) is the length

\(w\) is the width

and \(h\) is the height

From the given diagram

\(l = 3cm\)

\(w = 2cm\)

and \(h = 1cm\)

Putting the parameters into the formula, we get

\(S.A = 2(3\times 2) + 2(3\times 1) + 2(1\times 2)\)

This becomes

\(S.A = 2(6) + 2(3) + 2(2)\)

\(S.A = 12 + 6 + 4\)

S.A = 22 cm²

Hence, the surface area of the given cuboid is 22 cm²

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324 is the maximum value of the product of these three numbers

What is maxima and minima?

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.

The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.

Let the three nonnegative numbers are x,y,z

According to the question

x+y+z=36

and y=2x

therefore, 3x+z=36--------------------------------------------------(1)

z=36-3x

Let 3xz= u--------------------------------------------------------------(2)

differentiating equation 2

du/dx=3z + 3xdz/dx

or

du/dx= z + xdz/dx

differentiating equation 1

3 + dz/dx = 0

dz/dx = -3

du/dz = 36-3x + x(-3)

du/dx = 12 - 2x--------------------------------------------------------------(3)

for maxima put du/dx = 0

x=6-------------------------------------------------------------------------------(4)

again differentiating du/dx = 12 - 2x

d2u/dx2=-2

which means 3xz= u is maximum at x=6

from equation 1 and 4

we get 18+z=36

z=18

Therefore 3xz= 3(6)(18)=324

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Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

Answer:

  D. intersecting lines that have the same slope and the same y-intercept

Step-by-step explanation:

Equations that are dependent describe the same line: lines with the same slope and y-intercept. Dependent equations are always consistent.

Answer:

Your slope would be undefined

-\(\frac{-3-(-18)}{-5-(-5\\} \\\)

the -5-(-5) is cancelling it's self out

And i believe M=0.75 take this with a bit of salt  

The equation of the line that passes through (-5,3) and (1,1) is y = (-1/3)x + 3.

To find the equation of the line that passes through the given points, we need to use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line. The slope formula is:

m = (y₂ - y₁) / (x₂ - x₁)

Plugging in the given points, we get:

m = (1 - 3) / (1 - (-5))
m = (-2) / (6)
m = -1/3

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:

y - y₁ = m(x - x₁)

Plugging in the slope and one of the given points, we get:

y - 3 = (-1/3)(x - (-5))
y - 3 = (-1/3)(x + 5)
y - 3 = (-1/3)x - (5/3)
y = (-1/3)x + (9/3)
y = (-1/3)x + 3

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The perimeter is the sum of all sides. Then the perimeter of the kite is 27 units, then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The length of the kite (x) will be given by the Pythagoras theorem

H² = P² + B²

H² = 15² + 8²

H² = 225 + 64

H² = 289

 H = 17

Then

\(\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5\)

And another length of the kite is 5 units.

Then the perimeter of the kite will be

Perimeter = 2(8.5 + 5)

Perimeter = 27

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Answer:

+ + + + += + + + + +

Step-by-step explanation:

DUH        

I mean I think I'm right

The final number is a decimal number which is equal to -1805.96.

It is given to us that the set of expression is given by -

minus one thousand, eight hundred and five point nine six.

We have to write the given expression as a number.

According to the given information we see that there is a "point" word in the expression. This implies that the final number will be a decimal number.

So, from the given information, we can represent the number as -

-1805.96

Thus, the final number is a decimal number which is equal to -1805.96.

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Answer:

y=3x-2

Step-by-step explanation:

When x=0, y = -2 so b is -2

And the slope is 3 so the equation is

y=3x-2

The probability that more than 20 new registrations occur in 5 seconds is 0.9794

We know that the conditions for the Poisson distribution.

1) The occurrence of one event does not affect the probability another event will occur. i.e., the events are independent events.

2) The average rate i.e., the ratio events per time period is constant.

3) Two events cannot occur at the same time.

and the formula for the Poisson distribution is:

\(P(X = k)=\frac{e^{-\lambda}\times {\lambda}^k}{k!}\)

Here, the average number of new registrations is 2.66 per second.

We need to find the probability that more than 20 new registrations occur in 5 seconds.

λ = 5 × 2.66

λ = 13.3

P(X  > 20)

= 1 - P(X = 20)

= \(1-\frac{e^{-13.3}\times {13.3}^{20}}{20!}\)

= \(1-\frac{0.00000167449\times 2.9993892e+22}{2.432902e+18}\)

= 1 - 0.0206

= 0.9794

Therefore, the required probability is 0.9794

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A researcher has collected sample data that includes 5, 13, 15, 12, and 13. The mean of this sample is 5. This means that if we add all these values up, we would get 25. To find the mean, we would divide the sum of these values (25) by the number of values in the sample, which is 5, to get 5 as the mean.

The interquartile range is another statistic that describes a data set. It is the difference between the upper and lower quartiles. The upper quartile is the median of the upper half of the data set, while the lower quartile is the median of the lower half. The interquartile range can be found using the following formula:

IQR = Q3 - Q1The interquartile range for this sample is 12, 13, 3, and 2. To find Q3, we need to first find the median of the upper half of the data set. The upper half of the data set is 13 and 15, and the median of this set is (13+15)/2 = 14.

To find Q1, we need to find the median of the lower half of the data set. The lower half of the data set is 5, 12, and 13, and the median of this set is (12+13)/2 = 12.5.

Therefore,Q3 = 14 and Q1 = 12.5,IQR = Q3 - Q1IQR = 14 - 12.5IQR = 1.5The interquartile range for this sample is 1.5.

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