how to calculate optimum replacement interval

Answer: Let's use x to represent the number of hours Kendra works as a babysitter, and y to represent the number of hours Kendra works providing tech support. Then, we can write the following system of inequalities to represent Kendra's goal:

10x + 15y >= 1000 (Kendra needs to earn at least $1000)

x + y <= 80 (Kendra can't work more than 80 hours in total)

To graph these inequalities, we can start by graphing the boundary lines for each inequality. To do this, we can rewrite each inequality as an equation and graph it as a line:

10x + 15y = 1000 (the boundary for the earnings inequality)

x + y = 80 (the boundary for the total hours inequality)

We can then shade the region that satisfies both inequalities (i.e. the region that is above the earnings line and below the total hours line). This shaded region represents all the possible combinations of hours that Kendra could work to meet her goal:

 |

80|          .

 |        .

 |      .

 |    .

 |  .

0|___________________

 0       50        80

  Babysitting Hours

In the graph, the shaded region is the triangular area bounded by the x-axis, the y-axis, and the line x + y = 80. The fewest number of hours Kendra could work and still meet her goal is the point where the earnings line intersects the total hours line within the shaded region. To find this point, we can solve the system of equations:

10x + 15y = 1000

x + y = 80

One way to solve this system is to use substitution. Solving the second equation for y, we get y = 80 - x. Substituting this expression for y into the first equation, we get:

10x + 15(80 - x) = 1000

Simplifying and solving for x, we get x = 40. Substituting this value for x into the second equation, we get y = 80 - 40 = 40.

Step-by-step explanation:

The percentage of completion method is a widely used accounting method to recognize revenue and expenses over the life of a long-term project or contract.

It is primarily used in construction, real estate, and other industries that undertake large projects that span over extended periods. The method estimates the percentage of work completed, and then assigns that percentage of revenue and expenses to that period.

Under the percentage of completion method, revenue and expenses are recognized proportionally to the progress of the project, and the calculation is based on the cost incurred to date relative to the total estimated cost of the project.

This method is advantageous because it allows for more accurate financial statements that reflect the actual progress and costs of the project.

Overall, the percentage of completion method provides a more accurate representation of the financial position of long-term projects and contracts, and is therefore an essential tool for companies in industries that undertake such projects.

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Answer:

Look at the screenshot

Step-by-step explanation:

(f • g)(x) = f(g(x))

         = f(x-1)

         = 2(x-1)^2

Therefore, (f • g)(3) = 2(2)^2 = 8

Answer:

(f • g)(x) = 2(x-1)^2 and (f • g)(3) = 8.

Step-by-step explanation:

We have, to substitute g(x) into f(x) wherever we see x in f(x),to find (f • g)(x).

Which will give,

(f • g)(x) = f(g(x))

             = f(x-1)

             = 2(x-1)^2

We have to put x = 3 to evaluate this expression,

(f • g)(3) = 2(3-1)^2

             = 2(2)^2

             = 8

Therefore,

(f • g)(x) = 2(x-1)^2 and (f • g)(3) = 8.

Answer:

32/7 = 4 + 5/7

Step-by-step explanation:

The parametric vector form of the matrix is AX = < t 0 3/5t> where t is any real number.

Matrices are an important mathematical tool that can be used to represent and solve a wide array of problems.

In this problem, we are given a matrix A, which is row equivalent to the given matrix [1 -3 -8 5 0 12 -4] and asked to describe all solutions of Ax = 0 in parametric vector form.

To answer this question, we first need to use row operations to transform the given matrix into row-echelon form. After applying row operations, the matrix becomes [1 0 -5/3 0 2/3 0 1].

We can now use this matrix and the equation Ax = 0 to identify the solutions in parametric vector form.

The first column of the matrix has a coefficient of 1, indicating that x₁ is free and can take on any real value.

The second column has a coefficient of 0, indicating that x₂ = 0.

The third column has a coefficient of -5/3, indicating that x₃ = 3/5t, where t is a real number.

Then the resulting vector form is written as,

=> AX = < t 0 3/5t> where t is any real number.

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The curve of a normal distribution, also known as a Gaussian distribution, is a bell-shaped curve that is symmetric around the mean.

The shape of the curve is determined by two parameters: the mean (µ) and the standard deviation (σ) of the distribution. The curve is highest at the mean, and falls off gradually as we move away from the mean in either direction.

The standard deviation controls the width of the curve, with larger values of σ resulting in wider, flatter curves, and smaller values of σ resulting in narrower, more peaked curves.

The normal distribution is a continuous probability distribution, and it is widely used in statistics to model many natural phenomena, such as the heights of people, the weights of objects, and the scores on tests. It is also commonly used in statistical inference and hypothesis testing.

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As a result, 23.2 x 0.14 equals 3.248.

One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.

To multiply 23.2 and 0.14,

  23.2

x 0.14

---------

  32.48   (0.2 x 0.14 = 0.028, write down 8 and carry over 2)

+ 232.0   (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)

--------

 3.248   (the final answer)

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A 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0. This implies that the system is inconsistent.

The goal of pivoting is to turn a leading one into a zero for an element that is above or below it.

A matrix's left-hand side element is referred to as the "pivot" or "pivot element" when you wish the components above and below it to be 0.

This element usually has a value of 1.

If and only if the echlon form of the augmented matrix designating the linear system of equations contains no row of the type, then the linear system is said to be consistent.

Given that, a 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0.

This implies that the system is inconsistent.

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The cone’s radius r in terms of x is x + 7

From the question, we have the following parameters that can be used in our computation:

Volume, V = 3πx^2 + 42πx + 147π

Height, h = 9

The volume of a cone is

V = 1/3πr^2h

Substitute the known values in the above equation, so, we have the following representation

1/3πr^2 * 9 = 3πx^2 + 42πx + 147π

So, we have

3πr^2 = 3πx^2 + 42πx + 147π

Divide by 3π

r^2 = x^2 + 14x + 49

So, we have

r = √(x² + 14x + 49)

Evaluate

r = x + 7

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Answer:

7.64

Step-by-step explanation:

1 week: (100% + 11%) × 6.2

111% × 6.2 = 6.882 cm

OR

11% × 6.2 = 0.682 cm

6.2 + 0.682 = 6.882 cm

Because the plant grows 11% additional to its original height.

1 week = 6.882 cm

2 weeks = 111% × 6.882 cm

OR

11% × 6.882cm = 0.75702 cm

0.75702 cm + 6.882 = 7.63902 cm

Because an additional 11% is added to what was grown in week 1.

=7.63902 cm

= 7.64 cm (rounded to 2 decimal places)

hope this helps!

Answer:

Below

Step-by-step explanation:

4 out of 9 are not broken    first bar not broken chance is then 4/9

  now there are   8 bars left and 3 are not broken    so for the second bar thee is a 3/8 chance of not being broken

4/9 * 3/8 = 12/72 =   1/6

Answer:

it's below because

Step-by-step explanation:

1/6 !!!!!!!!!!!!!!

Answer:

75.4 (rounded)

Step-by-step explanation:

V= πr² h/3

V= π x 3² x 8/3

 = 75.3982236862

If you need any more help just ask :)

The area covered by 19, 602 square feet in acres is around 0.45, according to the relation between the two.

As per the known relation between acre and square foot, the two quantities are related through the formula -

1 acre is equal to 43, 560 square feet

Therefore, formula to convert square feet to acre will be -

Amount of area in acres = area covered in square feet/unit equivalent area in square feet

So, rewriting the above mentioned relation.

43, 560 square feet is equal to 1 acre

Thus, 19, 602 square feet will be equal to acres = 19, 602/43, 560

Performing division on Right Hand Side of the equation

The amount of area in acres = 0.45 acres

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In observational studies, the variable of interest is not controlled.

The correct answer is D.

Observational studies are a type of research design used to investigate the relationship between variables. In an observational study, the researcher observes and records data without manipulating any variables. The variable of interest is the one that the researcher wants to investigate and understand its relationship with other variables.

Numerical variables are those that can be measured and expressed as numbers. Examples of numerical variables include age, weight, height, temperature, and income. These variables are important in observational studies because they can be analyzed quantitatively and compared to other variables of interest.

In contrast, categorical variables are not numerical, and they cannot be measured or expressed as numbers. Examples of categorical variables include gender, race, occupation, and marital status. These variables are not appropriate as the variable of interest in observational studies because they cannot be analyzed quantitatively.

In observational studies, the variable of interest is not controlled, meaning the researcher does not manipulate or control it. Instead, the researcher observes and records data on the variable and its relationship with other variables. This is in contrast to experimental studies, where the researcher manipulates one or more variables to observe their effect on another variable. Therefore the answer is D) is not controlled.

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The function that is positive for the entire interval [-3, -2] is:

The function has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0). This means that the function is positive for the entire interval [-3, -2] because it is above the x-axis for this interval.

To further explain, a function is positive when its value is above the x-axis on a coordinate plane. In this case, the first function has a minimum value of (0, -3) which means that it is below the x-axis at this point. However, it crosses the x-axis at (-3, 0) and (3, 0), meaning that it is above the x-axis for the entire interval between these two points, including the interval [-3, -2].

The other functions are not positive for the entire interval [-3, -2] because they either have minimum values that are below the x-axis within this interval, or they cross the x-axis within this interval, meaning that they are not positive for the entire interval.

In conclusion, the function that is positive for the entire interval [-3, -2] is the first one because it is above the x-axis for this entire interval.

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The conversion of 195 lbs to other mass unit kilogram is equals to the 88.45051215 kg.

Kilogram (kg) and pound (lbs) are used to measure the mass of the substance/objects. In the United States and the British commonwealths, the unit used for mass is called pound. A pound is defined as aporoximatly 0.45359237 kilograms. The kilogram, or kilogramme, is the base unit of mass in the Metric system. To convert lbs to kg, multiply the particular lbs value by 0.45359237 kg. For example, to convert x lbs to kilogram, multiply the x lbs by 0.45359237 kg. So,x lbs = x × 0.45359237 kg

x lbs = 0.45359237x kg, if x = 3

Therefore, 3 lbs is approximately equal to 1.36077711 kg. It is very important skill to convert the lbs to kilograms in mass measurment. Now, we have 195 lbs. We know that one lbs

= 0.45359237 kg

Therefore, 195 lbs = 195 x 0.45359237 kg

195 lbs = 88.45051215 kg.

Hence, 195 lbs is equal to 88.45051215 kg.

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85 degrees Celsius is equal to 185 degrees Fahrenheit.

To convert Celsius (C) to Fahrenheit (F), you can use the formula:

F = (C × 9/5) + 32

where C is the temperature in Celsius and

F is the temperature in Fahrenheit.

Using this formula,

we can convert 85 degrees Celsius to Fahrenheit as follows:

F = (85 × 9/5) + 32

F = 153 + 32

F = 185

The average body temperature is widely regarded to be between 36.5 °C (97.7 °F) and 37.5 °C (99.5 °F).

Fever is defined as an increase in body temperature of one degree Celsius or more over the average of 37.0 degrees Celsius (98.6 degrees Fahrenheit).

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The area of the shaded region is 435.375 mm². The solution has been obtained by using the concept of area of figure.

What is area?

Area is the amount of space a two-dimensional figure takes up. The standard unit of area is the square, which is typically expressed as square inches, square feet, etc.

We are given an area of a square with a quarter circle outlined on it.

Area of shaded region = Area of square - area of quarter circle

So, using this, we get

⇒Area of shaded region = (45 * 45) - 1/4π (45 * 45)

⇒Area of shaded region = 2025 - 506.25π

⇒Area of shaded region = 2025 - 506.25 * 3.14

⇒Area of shaded region = 2025 - 1589.625

⇒Area of shaded region = 435.375 mm²

Hence, the area of the shaded region is 435.375 mm².

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Since, there are multiple questions so, the question answered above is attached  below

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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From the series, it can be deduced that the sum of the first two terms will be 18.

From the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Expressing T2 in terms of S, and S2 will be T2 = S + S2.

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Arc length formula is L = ∫a^b √[1 + (dy/dx)^2] dx . The arc length of a curve is the length of the curve between two points, and it can be calculated using the arc length formula in calculus.

The arc length formula can be used to find the length of a curve in terms of the function that describes the curve.

The arc length formula is given by:

L = ∫a^b √[1 + (dy/dx)^2] dx

where L is the arc length of the curve, a and b are the endpoints of the curve, dy/dx is the derivative of the function that describes the curve with respect to x, and ∫ represents the integral of the function over the interval from a to b.

To use the formula, we first find the derivative of the function that describes the curve, dy/dx. Then we plug this expression into the arc length formula and integrate the expression over the interval from a to b to find the arc length of the curve.

The arc length formula is useful in many applications, such as physics, engineering, and geometry, and it allows us to find the length of a curve even when it is not a straight line.

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In order to convert ounces to tablespoons(tbsp), we have to multiply the number of ounces by 2.

You can use a simple conversion factor of 2 tablespoons per ounce to convert ounces to tablespoons. So, to convert a certain number of ounces to tablespoons, you just need to multiply that number by 2. For example, if you have 4 ounces of liquid, you can convert it to tablespoons by multiplying 4 by 2, which gives you 8 tablespoons. This conversion is often used in cooking and baking recipes where ingredients may be measured in different units.

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Step-by-step explanation:

u are going to multiply 5 and 10 and the get the answer ad write as a cubic root

A trigonometric identities calculator is an online tool that helps you simplify or prove trigonometric identities using various trigonometric formulas and rules.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.

The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.

Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.

Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance

Trigonometric identities are equations that involve trigonometric functions and are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, and can be helpful in solving trigonometric equations and evaluating trigonometric functions.

Trigonometric identities calculators can be helpful for students studying trigonometry, as well as for professionals who use trigonometric functions in their work. These calculators typically allow you to enter the trigonometric expression or equation you want to simplify or prove, and then apply various trigonometric identities and rules to arrive at the final result.

There are many online trigonometric identities calculators available that can be accessed for free, including some that provide step-by-step solutions to help you understand how the identities are being applied.

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Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

The point-slope form of an equation of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line

m is the slope of the line.

We can use the given point (−5,−2) as (x1,y1)

Choose any value for the slope m to write the equation of the line in point-slope form.

For example:

Option 1:

Let's choose the slope m to be 2.

Then the equation of the line becomes:

y - (-2) = 2(x - (-5))

Simplifying the equation:

y + 2 = 2(x + 5)

Option 2:

Let's choose the slope m to be -3.

Then the equation of the line becomes:

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

Simplifying the equation:

y + 2 = -3(x + 5)

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

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The number 20 can be represented as a decimal by simply writing it as 20.0 or 20.00

The number 20 can be represented as a decimal by simply writing it as 20.00 or 20.000 This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 20 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 20 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 20 divided by 1 equals 20, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

20 ÷ 1 = 20.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 20 as 20.0 or 20.00, since these notations convey that the number has no fractional part.

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De acuerdo con la información previa, el sudoku se completaría con los números como se muestra en la imagen anexada.

Un sudoku es un juego numérico en el que tenemos 9 cuadrículas de 3 x 3 cuadros en los que tenemos que ubicar los números de 1 al 9 sin que se repitan en columnas, filas o en el mismo cuadro de 9 cuadrículas. Este juego se asocia con un buen nivel de análisis matemático. Adicionalmente, para solucionar un juego de Sudoku debemos analizar los números que ya están puestos en él como pistas para ubicar el resto de números.

De acuerdo con lo anterior, el Sudoku de la imagen muestra cómo se completó correctamente. En él ningún número se repite en filas, columnas o cuadrículas.

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