Write the simplified expression to represent the perimeter of the square.

Answer:

#4 See attachments

#5 See attachments

Step-by-step explanation:

To find the level of production that maximizes the manufacturer's total revenue, we need to find the quantity, q, that maximizes the revenue function, R(q) = p*q.

First, we need to find the revenue function by substituting the demand function for p in the revenue function:
R(q) = p*q = (−0.13q+156)*q = -0.13q^2 + 156q
Next, we need to find the quantity that maximizes this function. To do this, we can take the derivative of the revenue function and set it equal to zero:
R'(q) = -0.26q + 156 = 0
Solving for q, we get:
q = 600
This means that the quantity that maximizes the manufacturer's total revenue is 600 units.
To find the maximum revenue, we can plug this quantity back into the revenue function:
R(600) = -0.13(600)^2 + 156(600) = 46,800

Therefore, the maximum revenue is $46,800.

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By using Permutation, The number of ways in which 4 distinct prizes be awarded is 5,040.

Number of Contestants = 10

Number of distinct prizes = 4

We will use permutation to evaluate the number of ways in which 4 distinct prizes be awarded,

The first prize can be given in 10 ways

The second prize can be given in 9 ways

The third prize can be given in 8 ways

The fourth prize can be given in 7 ways

Now, Total number of ways 4 prizes can be awarded = 10 * 9 * 8* 7 = 5,040

Thus, the number of ways in which 4 distinct prizes be awarded is 5,040

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Answer:

4.5. inches

Step-by-step explanation:

Given that:

Thickness of first book = 2 1/4 inches

Thickness of second book = same as first = 2 1/4 Inches

Stacking both books together, height of stack will be :

2 1/4 inches * 2

Height of stack = 9/4 * 2

Height of stack = 18 /4 = 4.5 inches

Answer:

\(a^{2}\) = \(cm^{2}\)

Step-by-step explanation:

(length of sqaure) x (width of square) = \(cm^{2}\)

since the length and width are the same for a square we can use the same letter for both length and width. If we chose 'a' to represent length and width then the formula can be rewritten:

(length of sqaure) x (width of square) = \(cm^{2}\)

l x w = \(cm^{2}\)

l = w = a

a x a = \(cm^{2}\)

\(a^{2}\) = \(cm^{2}\)

Answer: 8.94

Step-by-step explanation:

each side is the \(\sqrt{20}\) so multiply that by 2 and you will have 8.94

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

The square root of an imperfect square

Answer:

The square root of an imperfect square

Step-by-step explanation:

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

The integral of terms ∫∫∫ \(p^4\) sin³(φ) cos²(θ) dρ dφ dθ is bounded by the xz-plane and the hemispheres y = 9 − x² − z² and y = 16 − x² − z².

To evaluate the integral of x² dV in the region E bounded by the xz-plane and the hemispheres y = 9 − x² − z² and y = 16 − x² − z² using spherical coordinates, we need to express the integral in terms of spherical coordinates.

In spherical coordinates, we have:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

The limits of integration for ρ, φ, and θ are determined by the region E.

Since E is bounded by the xz-plane, we have ρ ≥ 0.

The hemispheres y = 9 − x² − z² and y = 16 − x² − z² can be written as ρ sin(φ) sin(θ) = 9 − ρ² cos²(φ) − ρ² sin²(φ) and ρ sin(φ) sin(θ) = 16 − ρ² cos²(φ) − ρ² sin²(φ), respectively.

Simplifying these equations, we get ρ² (sin²(φ) + cos²(φ)) = 9 and ρ² (sin²(φ) + cos²(φ)) = 16.

Since sin²(φ) + cos²(φ) = 1, we have ρ² = 9 and ρ² = 16.

Solving these equations, we get ρ = 3 and ρ = 4.

Now we can set up the integral:

∫∫∫ E x² dV = ∫∫∫ \(p^4\) sin³(φ) cos²(θ) dρ dφ dθ

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The question is -

Use spherical coordinates, Evaluate x² dV, E where E is bounded by the xz-plane and the hemispheres y = 9 − x² − z² and y = 16 − x² − z².

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The set of variables that is most likely to have a cause-and-effect relationship is option C: the weight of a box and the postage rate we have to pay to ship the box to California.

Based on the given sets of variables, the set most likely to have a cause-and-effect relationship is:
B. The height of a person and the weight of a person

This is because there is a general correlation between a person's height and their weight, as taller individuals tend to have higher weights. While this is not an absolute rule, there is a stronger cause-and-effect relationship in this set compared to the other options.

This is because the weight of the box is a likely cause of the postage rate, as the heavier the box, the more postage we will have to pay to ship it. In options A and B, there may be a correlation between the variables, but it is less likely that there is a direct cause-and-effect relationship. In option D, the make of a car is not a likely cause of its mileage, as there are many other factors that can affect a car's mileage.

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A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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The median age of the presidents at their death is 69.

The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.

The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.

The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

In this case, the number of data points is even, that is 38. So, the median is:

= {(n + 1) / 2}th

= {(38 + 1) / 2}th

= 19,5th

Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:

Median = (68 + 70) / 2

Median = 138 / 2

Median = 69

Hence, the median age of the presidents at their death is 69.

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Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.

46 58 64 68 73 80 90

49 60 65 70 74 81 93

53 60 66 71 77 83

56 63 67 71 78 85

56 63 67 71 78 88

57 64 67 72 79 90

What is the median age of the presidents at their death?

A. 69

C. 68

b. 67.5

d. 70

Let us solve the problem step by step:

Firstly, we can use the following formula in order to solve the problem:

sinθ = -sqrt(1 - cos²θ) where sinθ = 7/47.

Substituting in the above equation we get:

7/47 = -sqrt(1 - cos²θ)

Squaring both the sides of the equation, we get:

cos²θ = 1 - (7/47)²

Therefore, cos²θ = 2208/2209

As the angle is in the fourth quadrant, cosθ will be negative.

Therefore, we take the negative root.

cosθ = -sqrt(2208/2209)

= -48/47

Now, using the formula for secθ we get:

secθ = 1/cosθ

= -47/48

Lastly, using the formula for tanθ we get:

tanθ = sinθ/cosθ

= (7/47)/(-48/47)

= -7/48

In this problem, we are required to find the exact values of secθ and tanθ for an angle θ in the fourth quadrant given that sinθ = 7/47.

We start solving the problem by using the formula:

sinθ = -sqrt(1 - cos²θ).

By substituting the value sinθ = 7/47 in this formula, we get:

7/47 = -sqrt(1 - cos²θ).

On squaring both sides of the equation we get:

cos²θ = 1 - (7/47)²

= 2208/2209.

Hence, the exact values of secθ and tanθ are -47/48 and -7/48 respectively.

Thus, the exact values of secθ and tanθ for the given angle θ in the fourth quadrant are -47/48 and -7/48 respectively.

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Answer:  n< 3

Step-by-step explanation:

5n - 14 < 1 .  add 14 to both sides

5n -14 +14 < 1 + 14

5n +0 < 15

5n < 15   divide both sides by 5 .5n/5 = 15/5

n < 3

We have the following information from the question:

• We have a science fair poster that is a rectangle, 3 feet in length, and 2 feet in width.

And we need to find the area of that rectangular poster in square inches.

To find the area in square inches, we can proceed as follows:

1. We can convert the given length and width to inches:

Then we have:

And also:

2. Now, since the area of a rectangle can be found as the length times the width, then we have:

Therefore, in summary, the area of the science fair poster is, in square inches, equal to 864 square inches.

Answer:

the answer you are looking for is B

Answer:

i think the answer is A

Step-by-step explanation:

The negative regulation is the type of regulation in which the transcription of a gene is prevented by the binding of a repressor protein to the DNA, which blocks the binding of RNA polymerase to the promoter region.

The gene expression regulator illustrated in the picture below is an example of what kind of regulation?

The gene expression regulator illustrated in the picture below is an example of the negative regulation. It is known as the trpR Repressor R.

How does it get that name and how does it work?

The TrpR protein is an allosteric protein that binds to the Tryptophan (Trp) molecule. It plays an important role in the regulation of gene expression, as it controls the transcription of the trp operon.

The Trp operon is a cluster of genes that are involved in the synthesis of the amino acid tryptophan. In the absence of tryptophan, the trpR protein is inactive.

However, when tryptophan is present, it binds to the TrpR protein and changes its shape. This change in shape activates the TrpR protein, which then binds to the trp operator region of the DNA.

Binding of the TrpR protein to the trp operator region prevents RNA polymerase from binding to the promoter region, thereby inhibiting the transcription of the trp operon.

Gene expression is regulated in both prokaryotes and eukaryotes, but the mechanisms of regulation differ between the two.

Negative regulation is the type of regulation in which the transcription of a gene is prevented by the binding of a repressor protein to the DNA, which blocks the binding of RNA polymerase to the promoter region.

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The gene expression regulator illustrated in the picture, known as trpR repressor, is an example of negative regulation. It is named after the trp operon, a set of genes involved in tryptophan biosynthesis in bacteria, where this regulator is commonly found.

The trpR repressor works by binding to a specific DNA sequence called the operator region, which is located near the trp operon genes. This binding occurs in the presence of tryptophan, the end product of the trp biosynthesis pathway. When tryptophan levels are high, it binds to the trpR repressor, causing a conformational change that enables it to bind to the operator region of the trp operon DNA.

By binding to the operator region, the trpR repressor physically obstructs the RNA polymerase from transcribing the genes in the trp operon. This prevents the synthesis of enzymes involved in tryptophan biosynthesis. As a result, the production of tryptophan is reduced or halted when there is already an adequate amount available in the cell.

The negative regulation exerted by the trpR repressor is based on the principle of feedback inhibition. When the end product (tryptophan) accumulates, it acts as a co-repressor and binds to the repressor, leading to the repression of its own biosynthesis. This mechanism ensures that the cell only produces tryptophan when it is needed, preventing wasteful energy expenditure.

In summary, the trpR repressor exemplifies negative regulation by binding to the operator region of the trp operon genes in the presence of tryptophan. This binding inhibits the transcription of genes involved in tryptophan biosynthesis, allowing the cell to regulate its production according to its needs.

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Answer:

3

Step-by-step explanation:

The length of AB is 10 units. Option D is the correct option.

What are the coordinates of a point?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Given that the coordinates of A are (3,4) and the coordinates of B are (-3,-4).

The distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²]

Here x₁ = 3, y₁ = 4, x₂ = -3, y₂ = - 4.

The distance between points is

√[(-3 - 3)² + (-4 - 4)²]

= √[6² + 8²]

=√100

= 10 units

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Answer:

-3

Step-by-step explanation:

f(x)= x²+3x-1

f(-1)= (-1)²+3(-1)-1

= 1-3-1

= -2-1

= -3

Answer: 230

Step-by-step explanation: The first thing you need to do is add 1 inch to the length and width. The starting lenght is 22, and that becomes 23. The starting width is 9, and that becomes 10. The new measurements are 23 by 10. To find area you multiply length by width. 23 times 10 gives you an answer of 230. I hope that helped!

Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

Answer:

2nd 3rd last one

Step-by-step explanation:

Angles, lines, rays, and segments can be found in a plane. The terms shown on the diagram are: Ray KM, Line JK, and Ray MJ

A line is an unending, straight path that has no endpoints and travels in both directions along a plane. A line segment is a finitely long portion of a line with two endpoints. A line segment that goes on forever in one direction is known as a ray.

To identify the terms shown on the diagram, we need to note the following: A ray has no endpoint; it is represented with an arrow on one side line segment has two endpoints.

It is represented with dots on both sides. An angle is a space between intersecting lines, line segments, or rays. There is no connection between J and L. So, JL is not a line segment

Ray KM

KM has a dot at point K and an arrow that points in the direction of M. So, KM is a ray.

Line JK

JK has dots on both ends (at J and K). So, JK is a line.

Ray PK

PK has dots on both sides (at P and K). So, PK is a line; not a ray.

Angle LJK

There is no connection between points L, J, and K. Hence, LJK is not an angle.

Ray MJ

MJ has a dot at point M and an arrow that points in the direction of J. So, MJ is a ray.

The diagram is attached with the answer below.

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Answer:

Option B is the correct answer.

Step-by-step explanation:

\(0. \overline{79} + \pi\)

Here \( 0.\overline{79}\) is a rational number and \( \pi\) is an irrational number whose sum gives irrational number.

Answer:

Te answer  would be to tenth of PIE so 0.79 would be ruled out

Step-by-step explanation:

Answer:

2.5 minutes per quesiton

Step-by-step explanation:

75 minutes to take 30 quesitons means you divide the time equally so

75/30

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers