a management consulting firm recommends that the ratio of middle-management salaries to management trainee salaries by 7:5. using this recommendation, what is the annual middle-management salary of the annual management trainee salary is $21,000?

According to the unitary method, the store that has the best deal is Store 1 and it cost $202.18

The term unitary method is known as a process of finding the value of a single unit, and based on this value.

Here we have the original prices of the rugs are as follows:

Store #1: $289

Store #2: $265

Store #3: $310

And the discount on each store is written as,

Store #1: 20% (decrease)

Store #2: 12%(decrease)

Store #3: 30%(increase)

And the tax details are given as,

Store #1: 8%

Store #2: 8%

Store #3: no tax.

Then the shipping and the handling charges is $5.9

Then the price for each of the store is calculated as,

=> Store 1 = 289 - [(289 x 0.20) + (289 x 0.08) + 5.9] = 202.18

=> Store 2 = 265 - [(265 x 0.12) + (265 x 0.08) + 5.9] = 206.1

=> Store 3 = 310 + (310 x 0.30) - 5.9 = 397.1

Therefore, the store 1 provides the best deal on the rug.

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The entire area bounded by any triangle's three sides is referred to as the triangle's area.

In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h. A triangular polygon's base (b) and height (h) must be known in order to calculate its area.

Whether a triangle is scalene, isosceles, or equilateral, it can be used to solve any kind of triangle.

Be aware that the triangle's base and height are at right angles to one another. In square units, the area unit is measured (m2, cm2).

Example :

Consider this triangle with a base of 3 cm and a height of 4 cm. What is its area?

Employing the formula,

Triangle's area is equal to half of b times h.

= 1/2 × 4 (cm) × 3 (cm) (cm)

= 2 (cm) × 3 (cm) (cm)

= 6 cm2.

In addition to the method mentioned above, Heron's formula can be used to determine a triangle's area when we know the lengths of its three sides.

In addition, when two sides of a triangle are known as well as the angle that forms between them, the area can be calculated using trigonometric functions. For each of these circumstances, we shall calculate the area.

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Answer:

Line Plot

Step-by-step explanation:

Logic)

It will show the progress of the athlete's sleep in accordance to each other, making it easier to make conclusions based on evidence.

Answer:

Step-by-step explanation:

To do this we need to show that the midpoints of the diagonals PR and QS are the same point.

The midpoint of PR = (-1+4)/2, (4-1)/2 = (3/2, 3/2).

The midpoint of QS = (-2+5)/2, )/2, (1 + 2)/2 = (3/2. 3/2).

We see that the points are identical so the diagonals do bisect each other.

The solution set of the inequality g < 5 is all the values of g that are less than 5.

What exactly is a math graph?

The term "graph" has at least two separate meanings in mathematics. The word "graph" in elementary mathematics refers to a plot or a function graph. In mathematical terms, a graph is a collection of points and the relationships between a subset of those points (which may be empty).

To graph this solution set, we use a number line, and place an open dot at 5 to indicate that 5 is not included in the solution set. Then, we shade the portion of the number line to the left of 5, which represents all the values of g that are less than 5. The graph of the solution set would look like this:

(shaded area represents all the values of g that satisfy the inequality)

|-----5----- |

Note: The value 5 is not included in the solution set as the inequality is strict inequality.

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Answer:

90°

Step-by-step explanation:

This question is so weird, they are literally telling you to guess. It might be 90° as the BC and (AC)' looks like they r perpendicular to each other.

The 45 45 90 triangle theorem states that 45 45 90 special right triangles have sides of which the lengths are in a special ratio of 1 : 1 : 2 and two 45° angles and one right angle of 90°.

When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.

A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.

Thus, The 45 45 90 triangle theorem states that 45 45 90 special right triangles have sides of which the lengths are in a special ratio of 1 : 1 : 2 and two 45° angles and one right angle of 90°.

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Answer:

  3/14

Step-by-step explanation:

Given a 2 appeared 3 times in 14 rolls, you want the experimental probability of rolling a 2.

The experimental probability of a given outcome is the number of times that outcome occurs divided by the total number of trials. Here, a "2" appeared on 3 of the 14 rolls, so the experimental probability is ...

  P(2) = 3/14

Answer:

The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order. The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm sorry I can't I'm not that type of tutor ask a real tutor for help

The evaluation of the straight line graph of the taxi cost for the daytime taxi, are as follows;

1. The point at which the line crosses the x-axis is (0, 250)

2. The y-intercept is; c = 250

3. The distance traveled at the y-intercept is 0

4. The y-intercept represents the initial fee for the taxi

The equation of a straight line graph in the slope-internet format is;  y = m·x + c.

The graph in the question obtained from the graph in a similar question posted online, is a straight line graph

The equation of the graph is therefore of the form; y = m·x + c

Where;

m = The slope of the graph

c = The y-intercept

The points on the possible graph of the question are;

(0, 250), (0.8, 400)

The y-intercept of the graph is therefore;

(0, 250), c = 250

The slope of the graph is therefore;

(400 - 250)/(0.8 - 0) = 187.5

The equation of the graph is therefore;

y = 187.5·x + 250

1. The point the graph crosses the y-axis is the point at which the x-value is 0. Therefore, the point the graph crosses the y-axis is the point (0, 250).

2. The y-intercept of the graph, c, is the point the graph intersects the y-axis, which is the point x = 0

3. The graph of the Cost to Distance Traveled indicates that distance traveled, x at the y-intercept, where, x = 0 is 0 miles

4. The y-intercept represents the initial fee for the daytime taxi

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Answer:

The multiplicative inverse of -11/7 is "A. -7/11".

Step-by-step explanation:

The multiplicative inverse of a fraction is found by flipping the numerator and denominator. So, if a fraction a/b has a multiplicative inverse, then it must be true that:

a/b * (b/a) = 1

In this case, we want to find the multiplicative inverse of -11/7:

-11/7 * x = 1

So, we flip the numerator and denominator of -11/7 to find x:

x = -7/11

Therefore, the multiplicative inverse of -11/7 is -7/11, which is option A.

A circle's circumference as a form of "perimeter."

The radius is RB = 35.0 ft, rounded to the nearest tenth (or 35 feet).

By rounding to the nearest tenth, we may determine the radius to be RG = 20.1 feet.

1.The circumferences of the two circles are 220 feet and 126 feet, respectively. We may think of a circle's circumference as a form of "perimeter."

2. The following is the radius of the circle made by Ana's brother in the blue car:

We know that the following formula determines a circle's circumference:

[tex]C=2\Pi \ r[/tex]

Then, we must get r by solving this equation. We know that C is 220 feet and pi is 3.14. Next, we have

[tex]220=2 \cdot \pi \cdot r \\\Rightarrow r=\frac{220}{2 \pi} \\\Rightarrow r=\frac{220}{2 \cdot 3.14} \\\Rightarrow r=35.0318[/tex]

The radius, rounded to the closest tenth, is RB = 35.0 feet (or 35 feet).

3. Using the same method, we can determine the radius of the circle that Ana's sister drew in the green automobile (she travelled 126 feet).

[tex]126=2 \cdot \pi \cdot r \\\Rightarrow r=\frac{126}{2 \cdot 3.14} \\\Rightarrow r=20.0637[/tex]

We may calculate the radius as RG = 20.1 feet by rounding to the closest tenth.

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An absolute value equation is an equation that contains an absolute value expression. To solve an absolute value equation, you need to consider two cases: when the argument inside the absolute value is positive and when it is negative.

Here is an example of how to solve an absolute value equation:

|x - 3| = 5

To solve this equation, we need to consider two cases: x - 3 = 5 and x - 3 = -5.

Case 1: x - 3 = 5

In this case, we can add 3 to both sides of the equation to get x = 8.

Case 2: x - 3 = -5

In this case, we can add 3 to both sides of the equation to get x = -2.

So, the solutions to the equation are x = 8 and x = -2.

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Answer: You would go 3 to the left because it is a negative sign. Then you would go 1 up because it is positive.

Step-by-step explanation: You´re welcome

Check the picture below.

The bird flies at an angle of 60° degrees from the water, and its height from the ground when it drops the fish is 86.6 yards.

The bird caught the fish at point, flew to which is 100 yds away, and dropped the fish at C, which is horizontally 50 yards from A.

Now,
let the angle be x,
cosx = 50 / 100
x = cos⁻¹(1/2)
x = 60°

height of the bird is given as,
sin60 = height / 100
√3 / 2 = height / 100
height = 50√3 = 86.6

Thus, the bird flies at an angle of 60 °degrees from the water, and its height from the ground when it drops the fish is 86.6 yards.

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The methods used in factoring are Greatest Common Factor (GCF), Grouping Method, Using Identities, Factor Theorem, and Polynomial with Four Terms.

Greatest Common Factor (GCF): To factorise, We have to find out the greatest common factor, of the given polynomial.

a(b + c) = ab + ac

But in the matter of factorisation, it is just an inverse process;

ab + ac = a(b + c)

where p is the greatest common factor.

Grouping Method: This method is also stated to be factoring by pairs. In this method, the given polynomial is distributed in pairs to find the zeros. 

Factoring Using Identities: The factorisation can be accomplished also by using algebraic identities. The most typical identities used in terms of the factorisation are:

(α + β)² = α² + 2αβ + β²

(α – β)² = α² – 2αβ + β²

α² – β² = (α + β)(α – β)

Factor Theorem: For a polynomial g(x) of a degree greater than or equal to 1,

x - b is a factor of g(x), if g(b) = 0

If g(b) = 0, then x - b is a factor of g(x)

Where ‘b’ is a real number.

Factoring Polynomial with Four Terms:

For example, x³ + x² – x – 1 is the polynomial. 

Split the given polynomial into two parts.

(x³ + x²) + ( –x – 1)

We can see, from the first part, x² is the greatest common factor and from the second part, we can take out the minus sign. Thus,

x²(x + 1) - 1(x + 1)

Again, regrouping the terms as the factors.

(x² - 1) (x + 1)Therefore, the factorisation of x³+ x² – x – 1 gives (x² -1) (x+1).

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0.4225 is the value of log 7 ÷ 2

Given,

We have to find the value of log 7 ÷ 2

Here,

Logarithm;

The power to which a number must be raised in order to obtain other values is referred to as a logarithm. To put it another way, it provides the response to the query, "How many times is a number multiplied to get the other number?" The expression for a number's logarithm is. x = logb y.

Then,

Log 7 ÷ 2

The log value of 7 is 0.8450

So,

0.8450 ÷ 2 = 0.4225

That is,

The value of log 7 ÷ 2 is 0.4225

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The sum of a number and negative three multiplied by the number is not linear.

A series of numbers called a "linear number pattern" have constant term differences. Here are a few examples: Every phrase has a 2 difference between them. These figures are additionally known as linear numbers.

A number is then represented as x, and the total is added.

sum of a number and -3 multiplied by that number

(x+-3) (or (x-3)x

distribute

a(b+c)=ab+ac

x(x-3)=x^2-3x

if the degree (power) of the placeholder equals 1 and x2 2 is not equal to 1, the placeholder is linear else it is second degree and NOT linear.

IS NOT LINEAR

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The answer are,

x=14√2

y=9.90

z=17.15

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

from the given figure,

we get.

x=14√2

y=9.90

z=17.15

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Five examples of polynomial are 3x, 5x + y, 2, 7x² - 3, and 8x⁵ - 2x³ + 2.

A polynomial is a mathematical expression that involves a sum of powers in one or more variables. The general form of a polynomial in one variable x is a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0, where n is a non-negative integer and the coefficients a_0, a_1, ..., a_n are real or complex numbers.

Here are five more examples of polynomials in one variable x:

x^4 + 2x^3 - 5x^2 + 3x - 2

x^5 - 4x^4 + 3x^2 - 2x + 1

3x^6 + x^5 - 2x^4 - 5x^3 + 7x^2 + x - 6

5x^3 - x^2 - 2x + 4

2x^7 - 3x^5 + 4x^3 - x^2 + 6x - 7

It's worth noting that polynomials can also have multiple variables, like for example a polynomial in two variables x and y.

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Therefore the correct options are ,6 with multiplicity 2 ,-2 with multiplicity 2

The equation (x-6)²(x+2)² can be factored by using the difference of squares factorization. This factorization states that for any two binomials a-b and a+b, their product can be written as (a-b)(a+b)= a²-b². In this case, we have (x-6)² and (x+2)², which can be factored as (x-6)² = (x-6)(x-6) = (x-6)², and (x+2)² = (x+2)(x+2) = (x+2)².

So, the equation (x-6)²(x+2)² can be factorized as (x-6)²(x+2)² = (x-6)² * (x+2).

The roots of the equation are the values of x that make the equation equal to zero. To find the roots of the equation, we set each of the factors to zero and solve for x.

(x-6)² = 0, x = 6 , 6

(x+2)² = 0, x = -2 ,-2

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Complete question:

Find the root(s) of f (x) = (x- 6)2(x + 2)2.

-6 with multiplicity 1

-6 with multiplicity 2

6 with multiplicity 1

6 with multiplicity 2

-2 with multiplicity 1

-2 with multiplicity 2

2 with multiplicity 1

2 with multiplicity 2

The steps to plot the graph a quadratic function in vertex form and standard form is explained below.

The term quadratic function is known as a second-order polynomial equation in a single variable x is written as ax² + bx + c = 0 with a ≠ 0 .

Here we need to write down the steps to plot the graph a quadratic function in vertex form and standard form.

In order to plot the graph we have to do the following:

The first steps is to determine whether the parabola opens upward or downward.

And then we have to find the equation of the axis of symmetry and the vertex.

Then we need to find the the y-intercept and the point symmetric to the y-intercept across the axis of symmetry.

Then through this we have to find the x-intercepts.

Then plot graph the parabola

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Answer: 2^3

Step-by-step explanation:

8 = 2 x 2 x 2 = 2^3

Answer:

Step-by-step explanation:

x = 4y - 3

2x +3y = 16

First, plug the equation x = 4y - 3 into the second equation so it looks like this:

2 (4y - 3) + 3y = 16    Now we only have one variable to solve for.

8y - 6 + 3y = 16    Simplify like variables

11y - 6 = 16     try to get y by itself

11y = 16 + 6

11y = 22     divide both sides by 11

y = 2

Now you can put Y back into the first equation

x = 4y - 3

x = 4(2) - 3

x = 8 - 3

x = 5

so the answer is x = 5 and y = 2

The number whose three times the reciprocal of a positive number equals 9 times the reciprocal of 6 is 2.

Let the positive number be x. The three times reciprocal of the positive number will be 1/x × 3. The reciprocal of 6 will be 1/6.

Equating the values that represent Left Hand Side and Right Hand Side of the equation -

3×1/x = 9×1/6

Performing multiplication on both sides of the equation

3/x = 9/6

Rewriting the equation according to x

x = 3×6/9

Performing multiplication and division on Right Hand Side of the equation

x = 2

Thus, the number is 2.

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The volume of the rectangular box is equivalent to → V = x³ - 2x² - 8x.

Given is that the width is of the rectangular box is two feet shorter than its height while the length is two feet longer than its height.

We can assume the height {H} of the box be {x} feet's. Then its width will be -

{H} = {x} feet's

{W} = {x - 4} feet's

{L} = {x + 2} feet's

Then, we can write the volume as -

V = L x B x H

V = {x}{x + 2}{x - 4}

V = {x² + 2x}{x - 4}

V = x²{x - 4} + 2x{x - 4}

V = x³ - 4x² + 2x² - 8x

V = x³ - 2x² - 8x

Therefore, the volume of the rectangular box is equivalent to -

V = x³ - 2x² - 8x.

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Answer: 24

Step-by-step explanation:

The sum of the exterior angles of a regular polygon is 360∘ As each of the exterior angles are equal, Exterior angle = 360∘ 15 = 24∘

The required percent of the people surveyed were satisfied with the car is 50%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

We have,

Total car owner = 2600

People who said to buy car again = 1300

Now

Percentage of satisfied people = [tex]\frac{1300}{2600}[/tex] × 100

Percentage of satisfied people = 50 %

Thus,required percentage is 50%.

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The distance between the two given points (5, 5) and (1 ,5) on a coordinate plane is equal to 4 units.

As given in the question,

Let the coordinates of the two given points in the coordinate plane are represented by:

 (x₁ , y₁) = (5, 5)

(x₂ , y₂ ) = (1 ,5)

Distance between two points  = √ ( x₂ - x₁)² + ( y₂ - y₁)²

Substitute the value we get,

Required Distance

= √ ( 1 - 5 )² + ( 5 - 5 )²

= √ ( -4 )² + ( 0 )²

= √ 16

= 4 units as distance is always positive.

Therefore, the distance between the given points on a coordinate plane is equal to 4 units.

The above question is incomplete , the complete question is :

What is the distance between points (5, 5) and (1 ,5) on a coordinate plane?

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