Zen Inc. manufactures two types of products, the G1 and the T1 model airplane. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work 7-hour shifts. On an average, to produce a G1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T1 models as G1 models (this is the product mix). The company operates five days per week and makes a net profit of $130 on the G1 model, and $150 on the T1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. If the numbers of G1 and T1 products produced each week are denoted as G and T respectively, the function that describes Zen, Inc.’s sales product mix for a week is?

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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An independent variable influences change in another variable, known as the dependent variable. Correlation analyzes the relationship between variables, but causation requires experimental design and control.



A variable that influences change in another variable is called an independent variable. The independent variable is manipulated or controlled by the researcher in an experiment or study to observe its effect on the dependent variable. The dependent variable, on the other hand, is the variable being measured or observed, and it is expected to change in response to the manipulation of the independent variable.

The relationship between the independent and dependent variables can be analyzed through statistical methods such as correlation analysis. Correlation measures the strength and direction of the relationship between two variables, indicating how changes in one variable correspond to changes in another. However, it's important to note that correlation does not necessarily imply causation. To establish a cause-and-effect relationship, experimental design and control are necessary to ensure that the observed changes in the dependent variable can be attributed to the manipulation of the independent variable.



Therefore, An independent variable influences change in another variable, known as the dependent variable. Correlation analyzes the relationship between variables, but causation requires experimental design and control.

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Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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The equation of the circle with center (4, -3) and passing through the point (1, 5) is (x - 4)^2 + (y + 3)^2 = 73.

To obtain the equation of a circle given its center and a point on the circle, we can use the general equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the coordinates of the center of the circle and r represents the radius.

In this case, the center of the circle is (4, -3) and a point on the circle is (1, 5).

To obtain the radius, we can use the distance formula between the center and the point on the circle:

r = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) are the coordinates of the center (4, -3) and (x2, y2) are the coordinates of the point on the circle (1, 5).

Plugging in the values, we have:

r = sqrt((1 - 4)^2 + (5 - (-3))^2)

 = sqrt((-3)^2 + (8)^2)

 = sqrt(9 + 64)

 = sqrt(73)

Now we can substitute the values of the center (h, k) = (4, -3) and the radius r = sqrt(73) into the equation:

(x - 4)^2 + (y - (-3))^2 = (sqrt(73))^2

Simplifying further, we get:

(x - 4)^2 + (y + 3)^2 = 73

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Answer:

true

Step-by-step explanation:

New Orleans, Louisiana is in the Central Time Zone. Currently, March, 3rd, 2022, it is 10:25 am.

In an experimental study, random error due to individual differences can be reduced if a(n) control group is implemented.

One effective way to reduce random error due to individual differences in an experimental study is to include a control group. A control group serves as a baseline comparison group that does not receive the experimental treatment. By having a control group, researchers can isolate and measure the effects of the independent variable more accurately.

The control group provides a point of reference to assess the impact of individual differences on the study's outcome. Since both the experimental group and control group are subject to the same conditions, any observed differences can be attributed to the experimental treatment rather than individual variations.

This helps to minimize the influence of confounding variables and random error associated with individual differences.

By comparing the outcomes of the experimental group and control group, researchers can gain insights into the specific effects of the treatment while controlling for individual differences. This improves the internal validity of the study by reducing the potential bias introduced by individual variability.

In summary, including a control group in an experimental study helps to reduce random error due to individual differences by providing a comparison group that is not exposed to the experimental treatment. This allows researchers to isolate and measure the effects of the independent variable more accurately.

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Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

--------------------

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

Answer: too Using the triangle pictured, find the measure of angle A. Round your answer to the nearest tenth.

.205 yep

Answer:

There are 35 red marbles

The probability of selecting a chocolate chip cookie from the batch is unlikely.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that the baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies.

If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Then the probability of selecting a chocolate chip cookie from the batch is unlikely.

Unlikely means there's a small chance that an event will happen.

Hence, the probability of selecting a chocolate chip cookie from the batch is unlikely.

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

Answer:

The x-axis is the HORIZONTAL axis (left to right)

The y-axis the VERTICAL axis ( up and down)

Another name for the point (0 , 0) is the ORIGIN

Formula of volume of a Sphere is : V = 4/3 πr³

Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet

Substitute it into the formula,

V = 4/3 π(6)³

V = 4/3 *216π

V = 288π Ft² [ Answer in the term of π ]

You can also solve it for numeral value by substituting the value of π = 22/7

V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]

Answer:

288 pi ft squared

Step-by-step explanation:

Edge 2021 :) Have a good day!

we can use the proportion: (Number of votes received by the candidate) / (Total number of votes) = 43% / 100%. the candidate received approximately 37.41 votes.

In the given local election, the candidate received 43% of the votes. To determine the number of votes they obtained, we need to use a proportion. A proportion is an equation that states that two ratios are equal.

Let's represent the number of votes received by the candidate as "x." The total number of votes cast in the election is stated as 87.

We can set up the proportion:

x / 87 = 43% / 100.

To solve for "x," we can cross-multiply:

100 * x = 43% × 87.

Simplifying further, we have:

x = (43/100) × 87.

By multiplying the fraction (43/100) by 87, we can determine the number of votes received by the candidate. Evaluating this expression, the candidate received approximately 37.41 votes.

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Answer:

90°

Step-by-step explanation:

The sum of angle 2 and angle 3 is equal to 90° because ABC is a right triangle.

Answer:

90

Step-by-step explanation:

This is a special right triangle. Now, the angles 1 is 90 degrees that means we have another 90 degrees left. We don't even need to add to know the total of angles 2 and 3 are 90 because every triangle is 180 degrees and every right angle is 90.

Using the concepts of weighting, we got that demographic groups helps in fixing  difference between the levels of different people if there are many or too few people in the sample from that group, compared to the population as a whole.

Demographic segmentation examples actually explain how researchers divide a market into the smaller groups according to age, gender, family income, race and ethnicity, qualification, marital status, nature of the  employment, etc.  

It is an extremely tedious task to the accommodate customers belonging to different demographics and develop the exhaustive marketing plan. Demographic examples ease creating the strategy for a marketer. Thus, they are one of  most commonly implemented marketing segmentation methods compared to the other techniques such as geographic segmentation, behavioral segmentation, or the psychographic segmentation.

Hence, certain demographic groups might end up being under or over-represented means that  there are too many or too few people in the sample from that group, compared to the population as a whole, in that case weighting can therefore potentially helps in fixing the difference in the levels of different people.

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The polar curve r = 1/cos θ - sin θ, where 0 < θ, consists of a circle with radius 1 and a cardioid with a cusp, both centered at the pole (0, 0).

The polar curve you provided, r = 1/cos θ - sin θ, represents a curve in polar coordinates. Let's analyze its behavior.

First, note that the curve is defined for θ values where 0 < θ. This means the curve starts from the positive x-axis (θ = 0) and continues in a counter-clockwise direction.

To understand the shape of the curve, we can simplify the equation by manipulating the trigonometric expressions. Using the identities cos θ = 1/sqrt(1 + tan^2 θ) and sin θ = tan θ / sqrt(1 + tan^2 θ), we can rewrite the equation as:

r = sqrt(1 + tan^2 θ) / (1/sqrt(1 + tan^2 θ)) - (tan θ / sqrt(1 + tan^2 θ))

r = sqrt(1 + tan^2 θ) / (1/sqrt(1 + tan^2 θ)) - tan θ / (1/sqrt(1 + tan^2 θ))

r = sqrt(1 + tan^2 θ) * sqrt(1 + tan^2 θ) - tan θ

r = sqrt((1 + tan^2 θ) * (1 + tan^2 θ)) - tan θ

r = sqrt(1 + 2tan^2 θ + tan^4 θ) - tan θ

r = sqrt((tan^2 θ + 1)^2) - tan θ

r = |tan θ + 1| - tan θ

Now we can see that the equation simplifies to r = |tan θ + 1| - tan θ.

From this form, we can observe that the curve will have two branches. When tan θ + 1 is positive, the absolute value can be removed, and the equation becomes r = tan θ + 1 - tan θ, which simplifies to r = 1. This represents a circle centered at the pole (0, 0) with a radius of 1.

When tan θ + 1 is negative, the absolute value will make it positive, and the equation becomes r = -(tan θ + 1) - tan θ, which simplifies to r = -2tan θ - 1. This represents a cardioid-shaped curve with a cusp at the pole (0, 0).

In summary, the polar curve r = 1/cos θ - sin θ, where 0 < θ, consists of a circle with radius 1 and a cardioid with a cusp, both centered at the pole (0, 0).

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Using relations in a right triangle, it is found that:

1. Angelica's mistake is stating that we can find the length of AB, as we can only find the simplified length with the ratio, not the actual length.

2. Graziella mistake is stating that since we don't know the sides we cannot find the ratios.

3. The measures are as follows: sin(A) = 3/5, cos(A) = 4/5.

There are three relations in a right triangle, given as follows:

In this problem, we have that the tangent of angle A is of 3/4, hence the lengths are given as follows:

Applying the Pythagorean Theorem, the hypotenuse AB is given as follows:

x² = 3² + 4²

x² = 9 + 16

x² = 25

x = 5.

Then the sine and the cosine of A are given as follows:

This is a procedure in which we can find the smallest possible length of the hypotenuse, not the actual length, which is Angelica's mistake.

Even without knowing the actual length, we could find the ratios for the sine and for the cosine, which is Graziela's mistake.

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Ordinal is the answer.

In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.

Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".

Hence, The answer is Ordinal

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Answer:

can you show me the graph so I can't answer the question

Answer:

A

Step-by-step explanation:

Edge 2022

Answer:

To get the average you add all numbers up then divide by the amount of numbers you have. In case it's 4 then you get your average dollar amount then you can calculate the amount for the years by multiplying it by 52 because there is 52 weeks in a year.

Answer:

0.3

Step-by-step explanation:

hopes this helps

Answer:

it would be Negative

Step-by-step:

let take -100/-2/-1/-2/-1 (yes easy i know)

-100/-2= 50

50/-1= -50

50/-2= 25

25/-1= -25

Answer: -1.33333333333333333333333333333333333333

Step-by-step explanation:

5/3 = 1.66666

1/3 = 0.33333

1/3-5/3=-1.33333

if lucky got 20 questions correct then lucky had missed 4 tests.

If Lucy got 4 out of 5 questions correct, then the proportion of questions she got correct is:

4/5 = 0.8

We can use this proportion to find the number of questions she got correct in the larger set of 20 questions:

0.8 x 20 = 16

So, Lucy got 16 questions correct out of 20. To find the number of questions she missed, we can subtract the number she got correct from the total number of questions:

20 - 16 = 4

Therefore, Lucy missed 4 questions on the test.

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Answer:

y= -1/4x + 4

Step-by-step explanation:

4x-y = 12

4x - 12 = y

Slope = 4

Slope of the perpendicular line: -1/4

Point (8,2)

y-intercept: 2 - (-1/4)(8) = 2 + 2 = 4

Caroline saved $3. 84 on a discounted item that was marked down 15% off of the original price of the item. What was the original price of the item before the discount, the original price of the item was $4.52 before the discount.

Let the original price of the item be $x. The item was marked down by 15%, so the discounted price is 85% of the original price. This is equivalent to saying that the discounted price is 100% - 15% of the original price. Mathematically, we can write this as: 0.85x = discounted price

Since Caroline saved $3.84 on the discounted item, we can write an equation that equates the amount she paid for the item to the discounted price minus the amount she saved. Mathematically, we can write this as:

0.85x - 3.84 = amount paid

Solving for x (the original price) requires us to rearrange the equation to isolate x. Mathematically, we can write this as:

x = (amount paid + 3.84) / 0.85

Substituting in the given values gives: x = ($0.00 + $3.84) / 0.85 = $4.52

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Answer:

n = \(\frac{-1}{2}\) - \(\frac{3}{2}\)m or n = -0.5 - 1.5m

Step-by-step explanation:

21m + 14n = -7 (subtract 21m from each side)

14n = -7 - 21m (divide everything by 14)

n = \(\frac{-7}{14}\) - \(\frac{21}{14}\)m

n = \(\frac{-1}{2}\) - \(\frac{3}{2}\)m or n = -0.5 - 1.5m

Hugh poured 100 kilograms of water into 10 kg of salt. He made 110 kilograms of 9.09 % salt solution.

To find the mass of the solution add the mass of salt and the mass of the solution. To find the concentration of the solution divide the salt mass by the total mass of the solution and multiply by 100.

Here we have  

Hugh poured 100 kilograms of water into 10 kg of salt.

After adding 100 kilograms of water to 10 kg of salt.  

The total mass of the solution = 100 + 10 = 110 kg

The concentration of salt

= [ Mass of salt/ Mass of solution] × 100

= [ 10/110] × 100 = 9.09%      

Therefore,

Hugh poured 100 kilograms of water into 10 kg of salt. He made 110 kilograms of 9.09 % salt solution.  

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