All the gummy machines at a candy factory work at the same rate: Six machines working simultaneously can complete big order in 22 hours. How many hours would it take t0 fill the order if the number of working machines decreased by a factor of 2? er: hours

I see that this is a rate of change time of problem

If andy can run 20 miles in 6 hours, than our goal is to find out how much he runs in a hour

So, we just have to divide 20 by 6.

It's sorta hard to explain

Questions?

Anyhow, the answer is around 3.3 miles per hour

Answer:

3.33 miles

Step-by-step explanation:

We Know

Andy can run 20 miles in 6 hours.

How many miles can he run in 1 hour?

We Take

20 / 6 ≈ 3.33 miles

So, Andy can run about 3.33 miles in 1 hour.

Answer:

A. -4

Step-by-step explanation:

For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.

You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.

Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

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Step-by-step explanation:

this is your answer see in pictures

Answer:

Yes

Step-by-step explanation:

Math, due tomorrow and i can't find the rate of enlargement of my dilation in transformation....

The interest rate on the loan is approximately 10.5%.

To calculate the interest rate on the loan, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Given that the principal (P) is $22,300 and the total payment (P + Interest) is $24,641.50, we can calculate the interest amount:

Interest = Total Payment - Principal

Interest = $24,641.50 - $22,300

Interest = $2,341.50

Now, we can calculate the interest rate (R) using the formula:

Rate = (Interest / Principal) * 100

Substituting the values:

Rate = ($2,341.50 / $22,300) * 100

Using a calculator, we find:

Rate ≈ 10.5%

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Answer:

Step-by-step explanation:

yes they are just a rotated triangle

The data quality component that is lacking in this scenario is reliability. (C)

Reliability refers to the consistency and accuracy of the data. In this case, the two clerks have abstracted the data differently, leading to discrepancies.

This indicates that the data is not reliable and may not accurately reflect the information it is meant to represent.

It is important for data to be reliable in order for it to be useful and trustworthy. Without reliability, the data may be misleading and lead to incorrect conclusions.

Therefore, it is important for the clerks to ensure that their work is consistent and accurate in order to improve the reliability (C)  of the data.

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I don't know the first one but the second one is The second national bank was chartered in 1816.

Answer:

\(49xy + 56x = 7x(7y + 8)\)

The quadratic function y = -7x² represents the trajectory of one of the water balloons. Since it is a quadratic function, it forms a parabola. The coefficient of x², -7, determines the shape of the parabola.

Since the coefficient is negative, the parabola opens downwards.
The x-axis represents time, and the y-axis represents the height of the water balloon. The vertex of the parabola is the highest point the water balloon reaches before falling back down. To find the vertex, we can use the formula

x = -b/2a.

In this case,

b = 0 and a = -7.

Thus, x = 0.
So, the water balloon reaches its highest point at x = 0.

Plugging this value into the equation, we find that y = 0.

Therefore, the water balloon starts at the ground, reaches its highest point at x = 0, and then falls back down.

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Since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

The quadratic function \(y = -7x^2\) represents the height (y) of a water balloon at different moments (x). When two water balloons collide, it means their heights are equal at that particular moment. To find when the collision occurs, we can set the two quadratic functions equal to each other:

\(-7x^2 = -7x^2\)

By simplifying and rearranging, we get:

0 = 0

This equation is always true, which means the water balloons collide at every moment. In other words, they collide continuously throughout their trajectory.

In conclusion, since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

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Answer:

Look for the lowest point of the curve

Step-by-step explanation:

The vertex is generally where two or more curves meet, so if you have a standard ax2+bx+c quadratic, it would be the lowest point of the graph.

The image below should point it out.

Answer:

add

Step-by-step explanation:

The sum of the first three terms in the series is -557.921 and a bound for the error is approximately 865.474.

What is series?

In mathematics, a series is the sum of the terms of a sequence. It is represented by the sigma notation (∑), which indicates that a sequence of terms is being added together.

To calculate the sum of the series and find the bounds for the error, let's break down the problem step by step.

The series can be represented as:

\(\sum_{n=1}^{\infty} [(-1)^n * 400*n^{0.6}]\)

To find the sum of the first three terms, S3, we need to calculate the values for n = 1, 2, and 3 and then sum them up.

For n = 1:

\((-1)^1 * 400 * 1^{0.6\) = -400

For n = 2:

\((-1)^2 * 400 * 2^{0.6\) = 564.189...

For n = 3:

\((-1)^3 * 400 * 3^{0.6\) = -721.110...

Now, let's calculate the sum of the first three terms, S3:

S3 = -400 + 564.189 + (-721.110) = -557.921

The sum of the first three terms, S3, is approximately -557.921.

To find a bound for the error, we can use the Alternating Series Estimation Theorem. The theorem states that the error in approximating an alternating series is less than or equal to the absolute value of the next term.

In this case, the next term of the series would be for n = 4:

\((-1)^4 * 400 * 4^{0.6\) = 865.474...

The bound for the error is given by the absolute value of this term:

|Next Term| = |865.474...| ≈ 865.474

Therefore, a bound for the error is approximately 865.474.

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Answer:

Step-by-step explanation: Since the rectangle sits within the larger circle, let's look at it this way:

Area of Shaded Region = Area of Circle - Area of Rectangle

OR

(X) =( pi * r^2 ) - (rectangle length * rectangle width)

Now we fill in the numbers where we know the numbers:

(X) = (pi * (12 cm)^2) - (3cm * 10cm)

(X) = (pi * 144cm^2) - (30 cm^2)

(X) = 144pi - 30

(X) = 452.39 - 30

(X) = 422.39 cm^2

Answer:

864 km

Step-by-step explanation:

Hope this helps! (I would appreciate brainliest, if not that's okay!!)

The area of one side of the rectangular wooden board is (210.92±8.18) cm². The uncertainty in the area is ±8.18 cm². If the thickness of the board is (1.1±0.2) cm, the volume of the board is (230.96±13.08) cm³. The uncertainty in the volume is ±13.08 cm³.

To find the area of one side of the rectangular wooden board, we multiply the length and width of the board. Given the length as (21.4±0.4) cm and the width as (9.8±0.1) cm, we perform the calculation as follows:

Area = Length × Width

= (21.4 cm) × (9.8 cm)

= 209.72 cm²

To determine the uncertainty in the area, we consider the maximum and minimum values of length and width:

Maximum area = (21.4 + 0.4) cm × (9.8 + 0.1) cm = 22.8 cm × 9.9 cm = 225.72 cm²

Minimum area = (21.4 - 0.4) cm × (9.8 - 0.1) cm = 20.8 cm × 9.7 cm = 201.76 cm²

The uncertainty in the area is half the difference between the maximum and minimum values:

Uncertainty in area = (225.72 cm² - 201.76 cm²) / 2 = 8.18 cm²

Therefore, the area of one side of the rectangular wooden board is (210.92±8.18) cm², with an uncertainty of ±8.18 cm².

Moving on to the volume calculation, we multiply the area of one side by the thickness of the board. Given the thickness as (1.1±0.2) cm, the volume can be determined as follows:

Volume = Area × Thickness

= (210.92 cm²) × (1.1 cm)

= 231.01 cm³

To find the uncertainty in the volume, we again consider the maximum and minimum values of the thickness:

Maximum volume = (210.92 cm²) × (1.1 + 0.2) cm = 210.92 cm² × 1.3 cm = 273.20 cm³

Minimum volume = (210.92 cm²) × (1.1 - 0.2) cm = 210.92 cm² × 0.9 cm = 189.83 cm³

The uncertainty in the volume is half the difference between the maximum and minimum values:

Uncertainty in volume = (273.20 cm³ - 189.83 cm³) / 2 = 13.18 cm³

Therefore, the volume of the board is (230.96±13.08) cm³, with an uncertainty of ±13.08 cm³.  

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The probability that the chosen student eats fish or eggs is 12/26 = 0.4615 or approximately 46.15%

To answer your question, let's first organize the information given:

Total vegetarians: 26
Eat both fish and eggs: 9
Eat eggs but not fish: 3
Eat neither fish nor eggs: 7

We want to find the probability that the chosen vegetarian student eats fish or eggs. To do this, we need to find the total number of vegetarians who eat fish or eggs. Since 9 eat both fish and eggs, and 3 eat eggs but not fish, we can deduce that 9 + 3 = 12 vegetarians eat fish or eggs.

Now, to find the probability, we'll divide the number of vegetarians who eat fish or eggs (12) by the total number of vegetarians (26).

Probability = (Number of vegetarians who eat fish or eggs) / (Total number of vegetarians)
Probability = 12 / 26
Probability ≈ 0.4615

So, the probability that the chosen vegetarian student eats fish or eggs is approximately 0.4615 or 46.15%.

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Answer:

You hypothesis that if you are in France, then you are in Paris. You are in Paris, so you are in France. Therefore, your conclusion is that you are in France if you are in Paris.

Step-by-step explanation:

Answer:

Fraction Form: x = 7/5

Decimal Form: x = 1.4

Mixed Number Form: x = 1 1/2

Step-by-step explanation:

Answer:

by game 3(at 1:00 p.m.)

temperature increases to 5 degrees at 1:00 p.m

Answer:

Length in feet = X - 80

Step-by-step explanation:

A = width x length

A/width = length

(x^2 -100x + 1600) /( x - 20) = length

(x - 20) (x - 80) / (x - 20) = length

x - 80 = length

x - 80 = length

The center line that goes from left to right is your x axis and the line that goes from top to bottom is you y axis

Answer:

this is it......sorry about the painting

Answer:

Step-by-step explanation:

So we know that a straight line adds up to 180 degrees.

This means that:

52+59+y = 180

y + 111 = 180

y = 69

We also know a triangle also adds up to 180 degrees.

This means that:

y+x+63 = 180

69+63+x = 180

x + 132 = 180

x = 48

Putting it all together, we get: A which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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