Insert any three rational numbers in between the following pairs of numbers. (a) 2 and 3
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The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

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Answer: $2400.00 without 8% tax $2592.00 with 8% tax

Step-by-step explanation:

2x12x100

(X1.08 for tax)

Using proportions, the costs are given as follows:

a) Total Labor Cost: $2,505,600.

b) Total Product Cost: $1,950,000.

c) Total Cost = $4,455,600.

d) Cost per home = $461.77.

e) Cost per week = $99,013.33.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

45 weeks x 5 days x 8 hours x 58 per hour x (12 + 8 + 4 workers)

Hence:

Total Labor Cost = 45 x 5 x 8 x 58 x 24 = $2,505,600.

For item b, the product cost is the cost of the boards, hence:

(175 + 150 + 50 boards) x 5,200

Total Product Cost = 375 x 5,200 = $1,950,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 2,505,600 + 1,950,000 = $4,455,600.

For item d, the cost per home is found dividing the total cost by the 9,649 homes, hence:

Cost per home = 4455600/9649 = $461.77.

For item e, the cost per week is found dividing the total cost by the 45 weeks, hence:

Cost per week = 4455600/45 = $99,013.33.

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Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

Can you be more specific on your question? Im very confused what your asking

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think thats what they are saying anyway

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

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Answer: 6.1

Step-by-step explanation:

Answer:

25ft

Step-by-step explanation:

The major portfolio strategies of this fund are investing in large-cap stocks and value stocks with high book-to-market ratios. The regression coefficients and p-values provide insights into the fund manager's investment strategy.

The coefficient of 0.4231 for the Large Cap asset class is statistically significant with a p-value of 0.0080, indicating a significant allocation to large-cap stocks. Additionally, the coefficient of 0.5531 for the High Book-to-Market (Value) asset class is also statistically significant with a p-value of 0.0013, indicating a significant allocation to value stocks with high book-to-market ratios.

These findings suggest that the fund manager focuses on investing in large-cap stocks and value stocks with high book-to-market ratios as part of their portfolio strategy.

Regarding the explanation of return variabilities, the R-square value of 0.3500 indicates that the asset allocation strategies explained 35% of the return variabilities in the fund. While this is a significant portion, it also implies that other factors not captured by the regression analysis contribute to the remaining 65% of return variabilities. Therefore, while the asset allocation strategies explain a substantial portion of return variabilities, other factors also play a role in determining the overall returns of the fund.

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Answer:

16

Step-by-step explanation:

48 divided by 3 is 16, so each of his friends will get 16 cookies.

The correct function that gives the right syntax for the given data analysis is = RIGHT(B3,5)

Interpret Data Cleaning Analysis:

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicated, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and addresses and as such, we can easily say that the correct syntax is =RIGHT(B3,5).

This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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The information based on the research is illustrated below.

Part A: The appropriate design for the study includes;

The treatment used; Chamomile oil treatment

Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves

Treatment assignment; Treatment should be assigned to patients with pinched nerves

Variables that should be measured; Reduction or relief of pain as reported by the patients

Part B; The study should be administered equally to both males and females as the symptoms can be experienced by both male and female

Part C; The design could be double-blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.

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Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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Answer:

The directional derivative of f at A in the direction of \(\vec{u}\) AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \(\vec{u}=(a,b)\) is denoted by \(D\vec{u}f(x,y)\),

\(D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b\).

Now the given points are

\(A(8,9),B(10,9),C(8,10) and D(11,13)\),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\(\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)\)

AC=(8-8,10-9), the direction is

\(\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)\)

AC=(11-8,13-9), the direction is

\(\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )\)

Step 3:

The given directional derivative of f at A \(\vec{u}_{AB}\) is 9,

\(D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9\)

The given directional derivative of f at A \(\vec{u}_{AC}\) is 2,

\(D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2\)

The given directional derivative of f at A \(\vec{u}_{AD}\) is

\(D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}\)

\(D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}\)

\(D\vec{u}_{AD}f= \frac{27+8}{5} =7\)

The directional derivative of f at A in the direction of  \(\vec{u}_{AD}\) is  7.

The most appropriate measure of center include the following: C. The median.

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

From the data set for this day care facility, we have:

22, 23, 23, 24, 20, 8

By sorting the data set from the least to greatest, we have:

8,20,22,23,23,24

Median = (22 + 23)/2

Median = 22.5

In conclusion, the median is the most appropriate measure of center because the value 8 is an outlier.

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Answer:

http://www.cssdrive.com/

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

I beleave the awnser is √74

Please give me brainlyist :)

Step-by-step explanation: Also if I am wrong please tell me

The probability that the number 75 ends up in the 45th position in the resulting permutation is 0.01.

To calculate this probability, we can use the concept of permutation. In a permutation of n distinct elements, the probability of any particular element ending up in a specific position is (1/n).

In this case, we have 100 distinct elements, and we want to find the probability that the number 75 ends up in the 45th position. So, the probability is (1/100) or 0.01.

Another way to think about it is that there are 100! (100 factorial) total possible permutations of the numbers 1 to 100. In order for 75 to be in the 45th position, the other 99 numbers can be arranged in 99! ways. Therefore, the probability of 75 being in the 45th position is (1/100!) * (99!) = 1/100 = 0.01.

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Answer:

x=1

Step-by-step explanation:

it is

The optimization problem for individual A is to maximize their objective function: max {7A(GA1) + 12u(A,G2)}. The Lagrangean for individual A can be written as: L(A) = 7A(GA1) + 12u(A,G2) + λ1(IA1 - DA1) + λ2(IA2 - DA2) + μ1(IA1 - pIA2) + μ2(IA2 - IA1 - IA2).

To solve for individual A's optimality conditions, we take the partial derivatives of the Lagrangean with respect to the decision variables: ∂L(A)/∂GA1 = 0, ∂L(A)/∂GA2 = 0, ∂L(A)/∂IA1 = 0, and ∂L(A)/∂IA2 = 0.

An equilibrium is defined as a set of allocations (GA1, GA2) and prices (p) such that all individuals optimize their objective functions and markets clear, i.e., the total net expenditure on purchasing contracts is zero. The equilibrium conditions that characterize the equilibrium allocations in the market for contracts are: ∑AIA1 + ∑BIB1 = 0, ∑AIA2 + ∑BIB2 = 0, and IA1 + IB1 = IA2 + IB2.

Given the utility function u(e) = ln(c), we can solve for the equilibrium price and allocations by setting the optimality conditions equal to zero and solving the resulting system of equations.

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Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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The same set of data is used to calculate both the geometric and arithmetic means. The geometric mean will most likely be greater if the data are more variable than the arithmetic mean.

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

Step-by-step explanation:

Question 1

System of equations is,

y = -6x -------(1)

y = -4x - 2 ---------(2)

Substitute the value of y from equation (1) to equation (2)

-6x = -4x - 2

-6x + 4x = -2

-2x = -2

x = 1

From equation (1)

y = -6(1)

y = -6

Question (2)

System of equations is,

-y = x --------(1)

3x + 5y = 20 ---------(2)

Substitute the value of x from equation (1) to equation (2)

3(-y) + 5y = 20

-3y + 5y = 20

2y = 20

y = 10

From equation (1)

-y = x

x = -10

Question (3)

System of the equations is,

y = -2x - 7 --------(1)

9x - 10y = 12 ----------(2)

Substitute the value of y from equation (1) to equation (2)

9x - 10(-2x - 7) = 12

9x + 20x + 70 = 12

29x = 12 - 70

29x = -58

x = -2

From equation (1)

y = -2(-2) - 7

y = 4 - 7

y = -3

a) As per the magnitude, the value of r is Emaximum is 40-50 kV/mm.

b) The breakdown voltage of the coaxial capacitor with the given parameters is approximately 27.3 volts.

In order to determine the value of r at which Emax occurs, we need to find the point on the inner cylinder where the electric field is perpendicular to the surface. This occurs at the point where r = a/√(3), which is approximately 0.577 times the radius of the inner cylinder.

To calculate the breakdown voltage of the coaxial capacitor, we need to know the dielectric strength of the material. For mica, the dielectric strength is typically around 40-50 kV/mm. Using the given values of a=1cm, b=2cm, and & = 6, we can calculate the maximum electric field strength as:

Emax = V / ln(2)

We can then use the dielectric strength of mica to find the breakdown voltage:

Breakdown voltage = Emax / (dielectric strength of mica)

= (V / ln(2)) / (6 x 10⁷ V/m)

= 27.3 V

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The expression is given as

Solve and simplify the expression by opening the brackets

Hence the answer is

Answer: 96 cups

Step-by-step explanation: A gallon  holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces

A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups