HELP PLSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The final factored form of the polynomial is b(a-b) and the category of the remaining polynomial is a binomial.

The first step in factoring out the GCF from the polynomial ab+ay-b^(2)-by is to identify the greatest common factor of all the terms. In this case, the GCF is b. Once we have identified the GCF, we can factor it out from each term by dividing each term by the GCF. This gives us:

ab+ay-b^(2)-by = b(a+y)-b(b+y) = b(a+y-b-y)

Next, we can simplify the remaining polynomial by combining like terms:

b(a+y-b-y) = b(a-b)

Finally, we can identify the category of the remaining polynomial. Since it has two terms and each term has a degree of 1, the remaining polynomial is a binomial.

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The solution to the system of equations is [tex]x = -3/4 $ and $ y = -3^{1/2}.[/tex] The solution has been obtained by using substitution method.

What is substitution method?

The substitution approach is one approach of solving equation problems. To use the substitution method, obtain an expression for one variable in terms of the second variable using one equation. Replace that variable with that expression in the second equation after that.

We are given system of equations as:

y = -2x - 5

y = 2x - 2

Now, by using the substitution method, we get

⇒-2x - 5 = 2x - 2

⇒-4x = 3

⇒x = -3 / 4

On substituting the value of x in y = 2x - 2, we get

⇒y = 2(-3/4) - 2

⇒y = (-3/2) - 2

⇒y = -7/2

Hence, the solution to the system of equations is[tex]x = -3/4 $ and $ y = -3^{1/2}.[/tex]

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A $900 item on the sale of 20% discount the

Money off: $180

Amt. of tax: $50.40

Money paid: $770.40

Final price: $770.40

what is discount ?

A discount is a reduction in the price of an item or service, often offered as a promotion or incentive to encourage customers to make a purchase. The discount is usually expressed as a percentage of the original price and represents the amount of money that the customer can save on the purchase.

For example:

Percentage discount: a certain percentage of the original price is deducted from the selling price. For example, a 20% discount on a $100 item would reduce the price to $80.

According to the question:
To calculate the final price of the item with sales tax, we can follow these steps:

Calculate the amount of money off by multiplying the original price by the discount percentage:

Money off = 0.20 x $900 = $180.

Calculate the price after the discount by subtracting the money off from the original price:

Price after discount = $900 - $180 = $720.

Calculate the amount of sales tax by multiplying the price after discount by the tax rate:

Amount of tax = 0.07 x $720 = $50.40.

Calculate the money paid by adding the price after discount and the amount of tax:

Money paid = $720 + $50.40 = $770.40.

Therefore, the final price with 7% sales tax is $770.40.

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Answer:

Mate the answer is c.

Answer:

We can use the standard normal distribution to solve this problem, by standardizing the salary value of $53,000 using the given mean and standard deviation:

z = (X - μ) / σ

where X is the salary value of $53,000, μ is the mean of $40,756, and σ is the standard deviation of $7500.

z = (53,000 - 40,756) / 7500 = 1.63547

Using a standard normal distribution table or calculator, we can find the proportion of employees who earn at most $53,000 by finding the area to the left of the standardized value of 1.63547:

P(Z ≤ 1.63547) = 0.9514

Therefore, approximately 95.14% of employees in entry-level positions at the company earn at most $53,000.

The answer of the given question based on the graph shows  number of birdhouses Penn and his father can build, if they have enough time to build not more than 10 birdhouses, the correct option is A).

What is Graph?

In mathematics, a graph is a collection of points (called vertices or nodes) and the lines or arcs (called edges) that connect them. Graphs are used to model and analyze a variety of real-world situations, such as social networks, transportation systems, and electrical circuits.

Based on the given graph, the horizontal axis represents the number of birdhouses Penn's father can build and the vertical axis represents the number of birdhouses Penn can build. The graph is bounded by the line x + y = 10, which means that the sum of  number of the birdhouses Penn and his father can build cannot be exceed more than10.

Therefore, the domain of this graph is the set of possible values for the number of birdhouses Penn's father can build, subject to the constraint that the sum of the number of the birdhouses Penn and his father can build cannot be exceed more than 10. This domain is the set of non-negative integers less than or equal to 10, inclusive. In interval notation, this can be written as [0, 10].

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Complete question:-The graph shows the number of birdhouses Penn and his father can build if they have enough time to build no more than 10 birdhouses. What is the domain of this graph?

The area of the rug is A = 1/2 × 7/6 and the area is 7/12

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

The area of a rectangle = l× w

The length = 7/6

The width = 1/2

Therefore the area = 7/6 × 1/2

= 7/12

therefore the area of the rug is 7/12

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The magnitude of the resultant force  ||FR|| is 80.55 N.

The weight of the box is acting straight downward, perpendicular to the incline, so it does not affect the magnitude of the resultant force parallel to the incline. Therefore, we only need to consider the force of 150 N pushing the box up the incline.

Let's call the angle between the force of 150 N and the incline "theta". We can find theta by subtracting 58 degrees from 90 degrees (since the incline is at an angle of 58 degrees with respect to the horizontal). So:

theta = 90 degrees - 58 degrees

theta = 32 degrees

Now we can use trigonometry to find the component of the force of 150 N parallel to the incline. We'll use sine, since we know the hypotenuse (the force) and the opposite side (the component parallel to the incline):

sin(theta) = opposite/hypotenuse

sin(32 degrees) = ||FR||/150 N

Solving for ||FR||, we get:

||FR|| = 150 N * sin(32 degrees)

||FR|| ≈ 80.55 N

Therefore, the magnitude of the resultant force is approximately 80.55 N.

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The value of the variable 'x' in the isosceles right-angle triangle will be 2√2 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

The length of the hypotenuse is 4. And the triangle is an isosceles right triangle.

In the isosceles right triangle, the perpendicular and base of the triangle will be the same. Then the value of the variable 'x' is given as,

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' in the isosceles right-angle triangle will be 2√2 units.

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Another polynomial with the same factored form of (z-3)(z+5) but different values for z is 2z^(2)+4z-30.

To find another polynomial with the same factored form, we can simply multiply the given factored form by a constant. This will change the values of z, but the factored form will remain the same.

For example, let's multiply the factored form by 2:

2(z-3)(z+5) = 2z^(2)+4z-30

In general form, this polynomial is 2z^(2)+4z-30.

We can see that the factored form is still (z-3)(z+5), but the values of z have changed. In the original polynomial, z^(2)+2z-15, the values of z were 3 and -5. In the new polynomial, 2z^(2)+4z-30, the values of z are 3/2 and -5/2.

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The fourth term a₄ of the sequence is -343

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

a₁= -1

aₙ = 7aₙ₋₁

The above definitions imply that we simply multiply 7 to the previous term to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = 7 * -1

a₂ = -7

Also, we have

a₃ = -7 * 7

a₃ = -49

Lastly, we have

a₄ = -49 * 7

Evaluate the equation

a₄ = -343

Hence, the value of a₄ is -343

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The missing vertex is located at (-14,20).

To find the missing vertex, let's assume that the third vertex is located at (x,20) and the coordinates of the other two vertices are (6,0) and (5,10). Then the coordinates of the two sides of the triangle are:

Side AB: (6,0) to (5,10)

Side AC: (6,0) to (x,20)

Using the formula for the area of a triangle, which is:

Area = 1/2 * base * height

Where the base is one of the sides of the triangle and the height is the perpendicular distance from the third vertex to the base, we can set up an equation to solve for x:

60 = 1/2 * |(6-5)*20 - (x-6)*10|

60 = 1/2 * |200 - 10x + 60|

120 = |260 - 10x|

120 = 10x - 260 or 120 = -(10x - 260)

x = -14 or x = -2

Since x has to be a negative value, the missing vertex is located at (-14,20). Therefore, the three vertices of the triangle are:

A = (6,0)

B = (5,10)

C = (-14,20)

We can verify that the area of the triangle with these vertices is indeed 60 square units using the same formula:

Area = 1/2 * |(6-5)(20-10) - (-14-6)(20-0)|

Area = 1/2 * |10 - (-400)|

Area = 1/2 * 410

Area = 205 square units

Therefore, the missing vertex is located at (-14,20).

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Limitations in the design and techniques used depending on the specifics of the dataset.

Problem Description: This problem seeks to use an experimental design, specifically Completely Randomized Design (CRD), to solve a problem. By using a dataset of the user's choice, the goal is to analyse this data using the R statistical software and draw meaningful conclusions from the results. The significance of this problem lies in the ability to understand the nature of the dataset and use this to solve the problem.

Method: CRD is a type of design that is used to determine how various factors, such as treatments, affect the response of interest. In this problem, the user will be using the R statistical software to perform the CRD, by selecting a dataset of their choice that is suited to the method. This dataset may either be a built-in dataset, manually entered data, or data imported into R from an online source. The data must be relevant to the problem and the method being used.

Objectives: The main objective of this problem is to use the CRD method to solve the problem. Through this analysis, it is also intended to gain an understanding of the data and the relationships between the variables. This may be done through testing hypotheses related to multiple comparison tests and the statistical model.

Statistical Analysis: The statistical model used for the experimental design is a linear model with the response variable being a linear combination of explanatory variables. These explanatory variables can include treatments, levels, and covariates, all of which will be determined by the dataset. The related hypotheses that will be tested are that the means of the response variables are equal among all the different treatments, levels, and covariates. The hypotheses related to the multiple comparison tests will be determined by the specifics of the dataset.

Results: After entering the R code and the corresponding dataset, the output from the R console will be generated. This output includes the linear model, coefficients, summary statistics, and residual plots that can be used to analyse the results.

Analysis of Results: Using the R output, the hypotheses related to the model and the multiple comparison tests can be tested at a certain level of significance. In addition, the residual plots can be used to determine whether the assumptions of the model have been met.

Conclusion: Through the use of CRD and the R statistical software, this problem was solved and the objectives were met. The dataset chosen allowed for an analysis of the data and a deeper understanding of the relationships between the variables. However, there may be limitations in the design and techniques used depending on the specifics of the dataset.

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Answer:

Below in bold.

Step-by-step explanation:

The right triangle of which ∅ is a part has

Hypotenuse = sqrt(8^2 + 15^2)

=  sqrt289

= 17,

So, sin ∅ = 8/17 and cos ∅ = 15/17

and

sin∅ + cos∅(1- cos∅)

= 8/17 + 15/17(1 - 15/17)

= 8/17 + 15/17 - 225/289

= 166/289.

(b)  tan 30 = h/96      where h is height of the mast

h = 96 tan 30.

= 55.4256

tan 60 = 55.4256/d        where d is the required distance

d = 55.4256/ tAN60

  = 32 M

To solve the handshake problem for five students sitting around a table, we need to count the number of unique handshakes that can occur between them. We can start by picking one student as the first handshaker, who then shakes hands with the four other students. This gives us a total of four handshakes.

Next, we can choose a different student as the first handshaker and repeat the process. This gives us another four handshakes, but we have to be careful not to count any handshakes twice.

For example, if Student A shakes hands with Student B first, and then we choose Student B as the first handshaker, we will count the handshake between A and B twice.

To avoid this, we can divide our total count of handshakes by two. This is because each handshake involves two people, so we will count each handshake twice if we simply multiply the number of people by the number of potential handshakes (i.e., 5 x 4 = 20 potential handshakes).

Therefore, the number of unique handshakes between five students sitting around a table is:

(5 x 4) / 2 = 10

So there are 10 handshakes that occur when five students shake hands with each other exactly once

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Answer:

2*(8*8*3+15*15*3)

Step-by-step explanation:

Small cube V=8*8*3

Large cube V=15*15*3

Doubled height is double of each cube V

so 2*[(8*8*3)+(15*15*3)]

Answer: Lacy is correct. Eddie's statement describes an attribute of a specific trapezoid, not a property of all trapezoids.

A trapezoid is defined as a quadrilateral with at least one pair of parallel sides. Therefore, it is true that all trapezoids have at least one pair of parallel sides. However, not all trapezoids have 2 pairs of opposite sides that are parallel.

The trapezoid that Eddie is describing is a special type of trapezoid called an isosceles trapezoid. An isosceles trapezoid has two pairs of opposite sides that are parallel and congruent legs. However, not all trapezoids are isosceles trapezoids.

Therefore, Lacy is correct in stating that Eddie's statement describes an attribute of a specific trapezoid, not a property of all trapezoids.

Step-by-step explanation:

Harbin was colder than Beijing on that particular day in December because the temperature difference between the two cities was -6ºC.

To figure out which city was colder, we need to compare the difference between the temperatures of the two cities. The temperature difference is the numerical value we get when we subtract one temperature from the other.

In this case, the temperature in Harbin was -8ºC and the temperature in Beijing was -2ºC. To find out which city was colder, we need to calculate the temperature difference between the two cities.

To do this, we subtract the temperature in Beijing from the temperature in Harbin:

-8ºC - -2ºC = -6ºC

So the temperature difference between the two cities is -6ºC. This means that Harbin was colder than Beijing on that day.

We can see that the temperature difference is negative, which tells us that the temperature in Harbin was lower than the temperature in Beijing.

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Answer:

3

Step-by-step explanation:

cuz ik

The height of the fish tank should be approximately 1.981 feet which is also equivalent to 23.772 inches.

As desired capacity of the fish tank is 100 gallons, and 7.48 gallons of water are equivalent to 1 cubic foot, the desired volume of the fish tank is (100 / 7.48) cubic feet, or approximately 13.369 cubic feet.

The desired volume is stated as a number of cubic feet so the known dimensions of the fish tank must be converted from inches to feet.

length = 54 inches = 4.5 feet

width = 18 inches = 1.5 feet

The formula for the volume V of a rectangular prism with length l, width w, and height h is V = lwh. We will substitute the known dimensions into the formula and solve for h.

V = ℓwh

13.369 ≈ 4.5 × 1.5 × h

13.369 ≈ 6.75h

h ≈ 13.369 / 6.75

h ≈ 1.981

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The number of means is 13. Option B

We can use the formula for the nth term of an arithmetic sequence to solve the problem. Let d be the common difference and n be the number of terms between -65 and 125.

Then we have:

a + (n-1)d = 125 (1)

a + nd = -113 (2)

Subtracting equation (2) from equation (1), we get:

(n-1)d + 238 = 0

Solving for d, we get:

d = -238/(n-1)

Using the formula for the twelfth term, we have:

a + 11d = -113

Substituting the expression for d, we get:

a - 11(238/(n-1)) = -113

Multiplying both sides by n-1, we get:

a(n-1) - 11(238) = -113(n-1)

Substituting a = -65 and simplifying, we get:

n = 13

Therefore, the number of means is 13

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The solution to this system of equations is: \[ \begin{array}{l} x=40 \\ y=-111 \\ z=-3.5 \end{array} \]

To solve this system of equations using Cramer's Rule, we will begin by finding the determinant of the coefficient matrix, which is an array of the coefficients of the variables in the equations. We will then find the determinants of the matrices that result from replacing each column of the coefficient matrix with the constant terms of the equations. Finally, we will use these determinants to find the values of x, y, and z.

The coefficient matrix is: \[ \begin{array}{ccc} -3 & -4 & -4 \\ 1 & -3 & -3 \\ -1 & 1 & -2 \end{array} \]

The determinant of the coefficient matrix is: \[ \begin{array}{ccc} -3 & -4 & -4 \\ 1 & -3 & -3 \\ -1 & 1 & -2 \end{array} = (-3)(-3)(-2) - (-4)(-3)(-1) - (-4)(1)(1) - (-4)(-3)(-1) - (-4)(-3)(1) - (-4)(1)(-2) = -6 + 4 + 4 + 4 - 12 + 8 = -2 \]

The matrix that results from replacing the first column of the coefficient matrix with the constant terms is: \[ \begin{array}{ccc} -8 & -4 & -4 \\ -19 & -3 & -3 \\ 3 & 1 & -2 \end{array} \]

The determinant of this matrix is: \[ \begin{array}{ccc} -8 & -4 & -4 \\ -19 & -3 & -3 \\ 3 & 1 & -2 \end{array} = (-8)(-3)(-2) - (-4)(-3)(3) - (-4)(-19)(1) - (-4)(-3)(3) - (-4)(-19)(1) - (-4)(-3)(-2) = 48 - 36 - 76 + 36 - 76 + 24 = -80 \]

The matrix that results from replacing the second column of the coefficient matrix with the constant terms is: \[ \begin{array}{ccc} -3 & -8 & -4 \\ 1 & -19 & -3 \\ -1 & 3 & -2 \end{array} \]

The determinant of this matrix is: \[ \begin{array}{ccc} -3 & -8 & -4 \\ 1 & -19 & -3 \\ -1 & 3 & -2 \end{array} = (-3)(-19)(-2) - (-8)(-3)(-1) - (-4)(1)(3) - (-4)(-19)(-1) - (-4)(-3)(1) - (-4)(1)(-2) = 114 + 24 + 12 + 76 - 12 + 8 = 222 \]

The matrix that results from replacing the third column of the coefficient matrix with the constant terms is: \[ \begin{array}{ccc} -3 & -4 & -8 \\ 1 & -3 & -19 \\ -1 & 1 & 3 \end{array} \]

The determinant of this matrix is: \[ \begin{array}{ccc} -3 & -4 & -8 \\ 1 & -3 & -19 \\ -1 & 1 & 3 \end{array} = (-3)(-3)(3) - (-4)(-19)(-1) - (-8)(1)(1) - (-8)(-3)(-1) - (-8)(-19)(1) - (-8)(1)(3) = 27 + 76 + 8 + 24 - 152 + 24 = 7 \]

Using these determinants, we can find the values of x, y, and z: \[ x = \frac{-80}{-2} = 40 \] \[ y = \frac{222}{-2} = -111 \] \[ z = \frac{7}{-2} = -3.5 \]

Therefore, the solution to this system of equations is: \[ \begin{array}{l} x=40 \\ y=-111 \\ z=-3.5 \end{array} \]

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The ratio of red to blue squares is given by the division of the number of red squares by the number of blue squares.

The ratio between two amounts, a and b, is obtained applying a proportion, as the ratio is the division of the amount a by the amount b.

The amounts for this problem are given as follows:

Hence the ratio is given by the division of the number of red squares by the number of blue squares.

For example, for 10 red and 20 blue squares, the ratio is given as follows:

r = 10:20 = 1:2.

The problem is incomplete, hence the general procedure to obtain the ratio is presented.

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Answer:

$7.35

Step-by-step explanation:

no step by step lol heres ur answer

The probability that the next kite Barbara sells will be a diamond is:

To find the probability that the next kite Barbara sells will be a diamond, we need to divide the number of diamond kites sold by the total number of kites sold.

The formula for probability is

= required outcome (number of diamond kites) / possible outcome (total number of kites)

required outcome

The number of diamond kites sold is:

11

possible outcome

The total number of kites sold so far is:

11 + 9 + 6 + 4 = 30

Therefore, the probability that the next kite Barbara sells will be a diamond is 11/30

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1. The volume of the prism and pyramid are thesame

2. The volume of the pyramid and cylinder are not thesame and cylinder will have the greater volume

3. The volume of the cone is be greater than the volume of cylinder.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

1. The volume of a prism = base area × height

volume of a pyramid = 1/3 base area × height

If the base area of pyramid is three times that of prism, then the volume of pyramid = 3×1/3 base area × height = base area × height

Since the height of the prism and pyramid are the same, the volume will be thesame.

2. Since the pyramid and the cylinder have thesame base area = πr²

The cylinder height = 3 times height of the pyramid

volume of pyramid = 1/3 base area × height

volume of cylinder = base area × height × 3

Therefore the volume are not thesame and cylinder will have the greatest volume

3. since the height of the cone and cylinder are thesame

volume of cone = 1/3πr²h

volume of cylinder = πr²h

radius of cone = 3× radius of cylinder

Therefore the volume of the cone = 1/3× 9 πr²h = 3πr²h

Therefore the volume of the cone is be greater than the volume of cylinder.

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Where are the questions?

The ANOVA will depend on the total sample size.

a. False. The psychologist's reasoning is incorrect, as the critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA does not depend solely on the total sample size, but also on the number of groups being compared and the level of significance. Furthermore, a Bonferroni adjusted post-hoc test does not require the p-value for each pairwise comparison to be no more than .0083 to be considered as statistically significant.

b. True. The critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA will depend on the total sample size, as well as on the number of groups being compared and the level of significance. Therefore, if the observed means across the three conditions differ entirely due to sampling errors, the critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA will depend on the total sample size.

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