Greg took a job through an employment agency. The job offers an annual salary of $28,600, which is paid weekly. Greg will have to pay the agency a fee of 23% of his first four weeks' pay. Calculate the fee. Show all working.

The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus

The vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.

The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)

In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.

It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.

In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.

The shape with the vertices is a rhombus.

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The solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

An equation is an expression that states the equality of two mathematical quantities. It usually involves a set of mathematical symbols, such as an equal sign, numbers, and operators, which represent the relationship between the two sides of the equation. Equations are used to solve a variety of mathematical problems, ranging from simple equations to complex systems of equations.

We can solve this equation by using the Quadratic Formula.
The Quadratic Formula states that x = (-b ± √(b² - 4ac))/(2a).
In this equation, a = 1, b = 6, and c = -5.
Therefore, x = (-6 ± √(6² - 4(1)(-5))/(2(1))
x = (-6 ± √36 + 20)/2
x = (-6 ± √56)/2
x = (-6 ± √7(8))/2
x = (-6 ± 8)/2
x = (m = -14/2) + (n = 8/2)
Therefore, the solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

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As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

The mean of a dataset, often known as the arithmetic mean, is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After adding up all the digits, divide by the number of digits. the sum divided by the number.

given

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower, n+1 = 0.25

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

Interquartile Range (IQR) is equal to Q3 - Q1 (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

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The midpoints of the given values would be = 3.9395

A midpoint is defined as the middle of a given value or the equidistance of two given points on a number line.

To calculate the midpoint of some given values, add the two numbers together and divide by 2. Note that the numbers must be in the same form.

Therefore, convert 79/100 = 0.79

The midpoint of 7.089 and 0.79;

= 7.089 + 0.79/2

= 7.879/2

= 3.9395

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The probability model that either team Alpha or team Zeta will win is 1/2.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of teams in the quiz = 2

i.e

Team Alpha and team Zeta.

Now,

The probability that team Alpha will win.

= 1/2

The probability that team Zeta will win.

= 1/2

Thus,

The probability model that one team will win is 1/2.

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There are infinitely many possible solutions to a two-variable linear equation. Every point  which is a straight line, represents a solution to a linear equation with two variables.

In algebra, multiple equations are referred to as simultaneous equations or systems of equations because they must be solved simultaneously (the solution must satisfy each system of equations). For a system to have a singular solution, there must be an equal number of unknowns and equations. When there are enough data to construct equations from multiple unknowns, systems of equations are used to solve problems. When there are n unknowns, we typically require sufficient knowledge to formulate an equation for each one.

Thus, a system of linear equations with two variables has infinitely many  solutions.

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The required measure of the angle G is given as 65°.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.



Here,
∠H = 90
HG = 36
FH = 77

According to the question,

tanG = FH/HG
tanG = 77 / 36
G = tan⁻¹[77/36]
G ≈ 65°

Thus, the required measure of the angle G is given as 65°.

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The probability that they read both newspapers will be 9/40.

What is probability?

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.

Now,

Total people=100

Reads USA today=40

Reads NY times=25

Reads both=9

Probability of people who read USA today=40/100

Probability that they also read NY times given they also read USA today=(9/100)/(40/100)

=9/40

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Quadratic equation will have 2 solution

Common quadratic equation as follows :

[tex]f(x) = ax^{2} + b(x) + c[/tex]

where :

a is the coefficient of [tex]x^{2}[/tex]

b is the coefficient of x

c is the constant term

To solve this equation there are several ways to do. One of the way is by factor.

For example :

[tex]x^{2} +7x + 10 = 0[/tex]

From above equation we search for factor. Assume they are a and b.

a. If a x b, the result will be 10

b. If a + b , the result will be 7

As we know that factor of 10 is 1, 2, 5, 10.

The best answer for those equation will be a = 2 and b = 5

[tex]x^{2} + 7x +10 = 0[/tex]

( x + 5 )( x + 2 ) = 0

x = -5 or x = -2

So the equation will have 2 solution. They are -5 and -2

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Answer:

To find the new price of the bed sheets, we can calculate the amount of discount first and then subtract it from the original price.

The bed sheets were on sale 25% off, so the amount of discount is:

$36 x 25/100 = $9

To find the new price of the bed sheets, we can now subtract the discount from the original price:

$36 - $9 = $27

So the new price of the bed sheets is $27.

Answer:

$36 * 0.75 = $27. That is the answer.

If 1.00 is 100 percent, subtract 0.25 or 25 percent from that to get 0.75 or 75 percent as the value which is left then multiply the original price, $36 to get the equation and answer above.

Answer: It's the first one

Also could you mark my answer as brainliest? It helps and doesnt hurt

The binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

A polynomial called a binomial has only terms. As an illustration, x + 2 is a binomial, where x and 2 are two distinct terms. Additionally, in this case, x's exponent, coefficient, and constant are all equal to 1.

A binomial is an algebraic expression with two terms that contains a variable, a coefficient, exponents, and a constant. The binomial polynomial x2 + 4x is another illustration. 

Given that

S³-1=( )(s²+s+1) complete the factorization by finding the correct binomial

But this expression follows difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

With this, we can write the binomial as

S³-1=(S - 1)(s²+s+1)

Thus, the binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

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Answer: For Investment account 1, it increases by $100 every year. To double the initial amount, it would take 800/100 = 8 years.

For Investment account 2, it doubles every two years. Therefore, it will take 2 years for the account to double.

Step-by-step explanation:

Answer:

∠ 1 = 31°

Step-by-step explanation:

the chord- chord angle 1 is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is ∠ 2

∠ 1 = [tex]\frac{1}{2}[/tex] ( 37 + 25)° = [tex]\frac{1}{2}[/tex] × 62° = 31°

Answer:

9 pies

Step-by-step explanation:

We know

Mrs. Wilke spends $72 on pies

1 pie = $8

We take

$72 divided by $8 = 9 pies

So, Mrs. Wilke buys 9 pies for the school fair.

Answer:

105

Step-by-step explanation:

Time is always x, the independent variable.

Distance, money, etc. is always y, the dependent variable, when dealing with time.

Start with the ratio of 6:30.

If you travel 6 miles in thirty minutes, how many do you have in one?

Simplify it like this: [tex]\frac{6}{30} :\frac{30}{30}[/tex] [tex]= \frac{1}{5}: \frac{1}{1}[/tex]    

You travel a fifth of a mile in 1 minute. Now you must find out how much it takes to get from [tex]\frac{1}{5}[/tex] to 21.

(Hint: 21 ÷ [tex]\frac{1}{5}[/tex])

You may use a calculator.

So it takes 105 minutes just to cover 21 miles, and this can be shown in fraction form as [tex]\frac{21}{105}[/tex], or simpler, [tex]\frac{1}{5}[/tex].

Please forgive me if I am wrong. I trusted my brain and calculator, yet I will take full blame.

The measure of BC is 9 units.

Now, According to the question:

The given data is:

Quadrilateral ABCD is similar to Quadrilateral WXYZ.

AB =15 WX =25 XY =15 and YZ =20

To find the measure of BC.

We know that the corresponding sides of similar figures are proportional.

It is given that Quadrilateral ABCD is similar to Quadrilateral WXYZ. It means their corresponding sides are proportional.

[tex]\frac{AB}{WX}=\frac{BC}{XY}=\frac{CD}{YZ}=\frac{AD}{WZ}[/tex]

Now,

[tex]\frac{AB}{WX}=\frac{BC}{XY}[/tex]

After substituting the given values, we get

[tex]\frac{15}{25}=\frac{BC}{15}[/tex]

[tex]\frac{3}{5}=\frac{BC}{15}[/tex]

Multiply both sides by 15.

[tex]\frac{3}{5}[/tex] × 15 =  [tex]\frac{BC}{15}[/tex] × 15

BC = 9

Therefore, the measure of BC is 9 units.

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The complete question is this:

Quadrilateral ABCD is similar to Quadrilateral WXYZ. If AB =15 WX =25 XY =15 and YZ =20, what is the measure of BC?

The percentage of members who have contributed to park cleanup will be 87.5%.

There will be 490 members who have helped clean up the park.

The percentage is defined as a ratio expressed as a fraction of 100.

As per the question, So far, 7/8 of the soccer club's 560 members have helped clean up their practice park.

The percentage of members that helped clean up the park will be calculated as :

= 7/8 × 100

= 87.5%

The members that have helped clean up the park will be calculated as :

= 7/8 × 560

Apply the multiplication operation, and we get

= 490 members

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The total percentage increase in the investor's stock account is 0.17%.

Total percentage increase in

Let us total the amount in the stock account

Company A was worth $2500.

Company B was worth $3600.

Total = $5180

when the stock in Company A increased by 23%  she will have

$2500 *0.23=  $575

Company A will worth $3075

when The stock in Company B increased by 14%  she will have

$3600 *0.14=  $514

Company B will worth  $3086

In all after the decline in are portfolio is $3075+$3086= $6161

The difference for the original amount in her investment is = $3086-$3075 = $11

The total percentage decrease in the investor's stock account

= (11/6161)*100 = 0.147*100 = 0.17%

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The graph of f(x) = x²  is a parabola with vertex (0,0).

The standard form of a quadratic function is:

f(x) = ax² + bx + c

To plot the graph of a quadratic function:

The graph of a quadratic function is a parabola.

The standard form of a parabola function is:

y = a(x – h)² + k  where (h,k) is called the vertex.

In the given function: f(x) = x² ,  x-intercept,  y-intercept, extreme point, and its vertex is equal to (0.0).

The plot is given in the attached picture.

Hence, f(x) = x² is a parabola with vertex (0,0).

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Answer:

D and C

Step-by-step explanation:

From the given list of choices, which is not example of an existing source of data will be option D. Data from an experiment.

Existing source means, we attain the data which is not new, that mean which is collected by somebody else already and made available to us. Here the internet is a source of all kinds of data and information, which is already stored in servers. It is continuously updated and we use it for references and studies.

The internal company records are collected and stored as per the company protocol for over a long period of time. The US census bureau data is also an existing data, from which we take references.

But an experimental data, or an observational data etc are not examples of existing data, because there will be new data after each different experiment and when we conduct the same experiment again we could get a different result. So it is not an example of existing data.

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Answer: 11

Step-by-step explanation:

In ∆ABC,

One side of each part of the ∆ are equal.

So,

[tex]16 = 2x - 6 \\ 2x = 16 + 6 \\ 2x = 22 \\ x = \frac{22}{2} \\ = 11[/tex]

Mrs. Cheng's class lost the most pencils as the median value is larger than Mr. Simson's class.

Option B is the correct answer.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

The box plot displays the number of pencils lost in a school year.

Mr. Simpson's class.

From the box plot,

Median = 14.5

Mrs. Cheng's class.

From the box plot,

Median = 16

The median tells us the average number of pencils lost.

Mrs. Cheng's class median is larger than Mr. Simpson's class.

Thus,

Mrs. Cheng's class lost the most pencils.

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Tyrone initially had 1 1/6 cup amount of milk, but after buying 2 5/6 cups of milk at the store, he now has 3 1/6 cups.

1. Start with 1 1/6 cups of milk

2. Add 2 5/6 cups of milk

3. 1 1/6 + 2 5/6 = 3 1/6 cups of milk

Tyrone started out with 1 1/6 cup of milk. This could have been used for any number of things, such as cereal or baking. He then used 1 1/6 cup of this milk to make hot chocolate. After using the milk, Tyrone decided to buy 2 5/6 cups of milk from the store. This was most likely to make up for the milk he had used and to have enough for future use. Adding the 2 5/6 cups of milk to the 1 1/6 cup of milk he had originally gives a total of 3 1/6 cups of milk. This means that Tyrone had 1 1/6 cup of milk to start.

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The simplest radical form of x is 256.

Explanation:

x = [tex]\sqrt{16}[/tex]

   = 256.

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Answer:

a)

Step-by-step explanation:

By definition; for constant speed,

S = ∆d/t

= 67.5/1.5

= 45

Therefore, the relationship between d and t is giving as; d = 45t