For this item, complete the choice matrix by clicking the appropriate answer in each row.

Determine whether each of the following is a real zero of the polynomial p(x)=(2x−7)(x2−49)p(x)=(2x−7)(x2−49).

The blanks when completes are:

The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...

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

The table of values

From the table of values, we can see that

This means that the values that complete the blanks are increase, decrease and 0

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Correct two-way relative frequency table for the data is option A.

A frequency table is a way to organize and display data in a table format by showing the number of times a certain data point or category appears in a given dataset. It is used in statistics and data analysis to quickly and easily understand the distribution of a set of data.

A frequency table typically consists of two columns: the first column lists the categories or data points, and the second column lists the frequency or count of each category. The categories can be anything from numbers to words, but they should be mutually exclusive and exhaustive, meaning that each data point should fit into one and only one category, and all possible data points should be included in the table.

Frequency tables are commonly used to represent categorical data, such as survey responses, demographic data, and results of experiments. They are also useful for visualizing patterns and trends in the data, such as the most common or rare categories, and can be used to calculate various statistical measures, such as percentages, proportions, and averages.

The correct answer is:

                                    Playing        Listening      Watching         Row Totals

                                    Computer   to Music        Movies/TV

                                    Games      

Drama Club Students 5%            25%          20%          50%

Art Club Students         18.75%     15%          16.25%          50%

Column Totals         23.75%     40%          36.25%          100%

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The complete question is:

Given that 17.5 is the bottom end of the box, the lower quartile's value equation (Q1) must fall between 17.5 and 30. Hence, the appropriate response is 17.5

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

25% of the data fall inside the lower quartile (Q1), which is represented by that number. Q1 is situated near the bottom of the box in the box plot.

According to the description, the box's boundary is at 30, and its size ranges from 17.5 to 40.5 on the number line. As a result, the median value of the middle 50% of the data is 30, with a range of 17.5 to 40.5.

There are some data points outside the middle 50% since the lines outside the box finish at 10 and 42.

Given that 17.5 is the bottom end of the box, the lower quartile's value (Q1) must fall between 17.5 and 30. Hence, the appropriate response is

17.5

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The answer of the question based on monthly installment is Anver's monthly installment is R6 253.27.

What is Formula?

In mathematics,  formula is  set of symbols or expressions representing mathematical relationship or the rule. Formulas are often used to describe and solve the problems in mathematics, science, engineering, and other fields.

To determine the amount of the loan, we can calculate 85% of the price of the van, which is the amount that Anver would have to borrow after paying the 15% deposit:

Amount of loan = 85% of R392 900

= 0.85 x R392 900

= R333 965

To determine the monthly installment, we need to use the formula for the present value of an annuity:

PV = PMT x (1 - (1 + r/n)^(-nt)) / (r/n)

We can calculate the annual interest rate by adding 1% to the prime rate. According to the South African Reserve Bank, the prime rate in September 2013 was 9%.

Annual interest rate = prime rate + 1%

= 9% + 1%

= 10%

Therefore, we can substitute the given values into the formula:

PV = R333 965

r = 10% / 12 = 0.8333%

n = 12

t = 72 / 12 = 6

Rearranging the formula to solve for PMT, we get:

PMT = PV x (r/n) / (1 - (1 + r/n)^(-nt))

Substituting the values, we get:

PMT = R6 253.27 (rounded to two decimal places)

Therefore, Anver's monthly installment is R6 253.27.

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Answer:I’ll give more points!! A

Step-by-step explanation:I’ll give more points!! A

C

Find the mAB

Answer:

24% of 10,000 is 2,400.

Step-by-step explanation:

To find out what number is 24% of 10,000, we can multiply 10,000 by 24% (or 0.24):

Number = 10,000 x 0.24

Number = 2,400

Therefore, 24% of 10,000 is 2,400.

Answer:

 2,400  

Step-by-step explanation

:24% of 10,000 = 24% × 10,000 = 24/100 × 10,000 = (24 ÷ 100) × 10,000 = 24 × 10,000 ÷ 100 = 240,000 ÷ 100 =

The oven will heat up by 18 degrees in 1 minute at this rate.

What is the rate of change?

The term "rate of change" refers to how fast a quantity is changing with respect to time, or some other independent variable.

If the oven's temperature rose 3 degrees in 1/6 of a minute, we can find the rate of temperature increase by multiplying both sides by 6 to get:

3 degrees / (1/6 minute) = 18 degrees/minute

Hence, the oven will heat up by 18 degrees in 1 minute at this rate.

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Answer:

96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160

Step-by-step explanation:

The width of the rectangle is calculated as: 11 inches

The formula for area of a rectangle is:

A = l*w.  

Since the area is 33 in², then;

33 = x(x + 8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  

x² + 8x - 33 = 0.

To complete the square you need to add 33 to both sides.  

Now you have x² + 8x = 33  

Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 4², so 16.  

Now you have x² + 8x + 16 = 49

(x + 4)² = 49

Take  the square root of both sides and you have;

x + 4 = 7.  

Therefore, x = 3 (the short side) and 11 is the long side.

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It sure looks like a linear function to me.

You can confirm this by finding the slope of "down 10/right 2" to give you a slope of -5.

NO || PR using the converse of the Triangle Proportionality Theorem are not parallel.

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

Conversely, if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

In this problem, we are given a right triangle NQM, where line PR intersects the sides NM and QM at points P and R, respectively. We are also given that NM = 16, PM = 12, RM = 6, and QR = 8. We want to verify that NO || PR.

To do this, we will use the converse of the Triangle Proportionality Theorem. We know that PR divides NM proportionally, so we need to show that it also divides QM proportionally.

Using the ratios of corresponding side lengths of similar triangles, we can write:

PM / RM = PN / RN

Substituting the given values, we get:

12 / 6 = PN / (16 - 6)

2 = PN / 10

PN = 20

Similarly, we can write:

QR / RM = QN / RN

Substituting the given values, we get:

8 / 6 = QN / (16 - 6)

4 / 3 = QN / 10

QN = 40 / 3

Now we can check if PR divides QM proportionally:

PM / QN = 12 / (40 / 3) = 9 / 5

PN / RM = 20 / 6 = 10 / 3

Since these ratios are not equal, we can conclude that PR does not divide QM proportionally.

Therefore, by the converse of the Triangle Proportionality Theorem, we can conclude that NO is not parallel to PR.

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We can write the equivalent value of the matrix {A - 2B} as -

[9    2]

[2    6]

[3   -10]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Given are the matrices as given in the equation.

We can write the elements for {A - 2B} as -

A{ 1 } = 3 + 6 = 9

A{ 2 } = 4 - 2 = 2

A{ 3 } = 6 - 4 = 2

A{ 4 } = - 2 + 8 = 6

A{ 5 } = 1 + 2 = 3

A{ 6 } = - 10

So, we can write the matrix as -

A - 2B =

[9    2]

[2    6]

[3   -10]

Therefore, we can write the equivalent value of the matrix {A - 2B} as -

[9    2]

[2    6]

[3   -10]

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Answer:

65

Step-by-step explanation:

All 4 sides of a polygon equals 360 degrees. We are given the equation of 2 sides to find the degree.

12x + 19 + 8x + 1 = 180

(We put it equal to 180 instead of 360 since we are only given 2 sides)

Subtract 19 from both sides

12x + 8x + 1 = 161

Subtract 1 from both sides

12x + 8x = 160

Add 12x + 8x

20x = 160

Divide 20x by 160

x = 8

Plug in x value to (8x + 1)

(8(8) + 1)

= 65

The estimated area of the field enclosed by the fence is approximately 220.5 square meters.

A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.

We can employ the following strategy to determine how much of the field the fence is enclosing:

Include the lengths of the fence sections in a rough sketch of the field.

Make a straightforward polygon that resembles the field's shape using the fence sections.

To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula ([tex]A = 1/2 \times base \times height[/tex]). We must identify the triangle's base and height in order to accomplish this.

The Pythagorean theorem can be used to calculate the triangle's height: [tex]a^2 + b^2 = c^2[/tex]where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to

(a)

[tex]= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\[/tex]

The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.

When we apply the triangle's area formula, we obtain:

A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.

The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.

If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.

By dividing the width by the length, we obtain:

180 square meters is the size of the remaining part (12 meters times 15 meters).

To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:

Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.

As a result, the field's approximate area inside the barrier is 220.5 square meters.

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Solving the equation by completing the square gives the solution as;

x = (6, -10)

The equation we are given to complete the square is;

x² + 4x = 60

Add half the square of half of the coefficient of x to both sides to get;

x² + 4x + (4/2)² = 60 + (4/2)²

x² + 4x + 4 = 64

Writing left hand side as a perfect square gives;

(x + 2)² = 64

Taking square root of both sides gives;

x + 2 = ±8

x = -2 ± 8

x = (6, -10)

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Answer:

Step-by-step explanation:

caca

Answer:im confused

Step-by-step explanation:

Random condition:

✔ met

10% condition:

✔ not met

Large counts condition:

✔ not met

Are the conditions for inference met?

✔ no

Answer:

Step-by-step explanation:

Angle sum of a triangle = 180°. So we get:

[tex]62+69+(4x+5)=180[/tex]

[tex]136+4x=180[/tex]

[tex]4x=44[/tex]

[tex]x=11[/tex]°

Answer:

x = 11

Step-by-step explanation:

We know that the sum of the interior angles in a triangle is added up to 180°.

Accordingly,

62 + 69 + 4x + 5 = 180

Combine like terms.

136 + 4x = 180

Subtract 136 from both sides.

4x = 180 - 136

4x = 44

Divide both sides by 4.

x = 11

The distance between the parallel lines y = -1/3x + 3 and y = -1/3x - 7 is approximately 9.49 units.

A parallel line is a pair of lines that never cross and are always spaced at the same distance apart. The y-intercepts are different, but they have the same slope. In other terms, two lines are parallel if they have the same slope but distinct y-intercepts. Due to their role in defining and producing forms like rectangles, parallelograms, and trapezoids, parallel lines play a crucial role in geometry and trigonometry. In the actual world, parallel lines are also used in things like roads, railroad tracks, and electrical cables.

The standard equation of the line is given as:

y = mx + c

where, m is the slope.

c is the y-intercept.

Comparing the equation with the given equation we have the slope of the parallel lines as:

y = -1/3x +3 and y =-1/3x -7

slope = m = -1/3

y-intercept of 1st line = (0, 3)

y-intercept of the 2nd line = (0, -7)

The distance between two parallel lines is the perpendicular distance between them.

To calculate the perpendicular distance we find the equation of the perpendicular line.

The slope of the perpendicular line is negative reciprocal of the slope of the two given lines, which is 3.

The point-slope form is:

y - y1 = m(x - x1)

Substituting the values:

y - 3 = 3(x - 0)

y = 3x + 3

The intersection of this perpendicular line with the other line.

3x + 3 = -1/3x - 7

10/3x = -10

x = -3

Substituting x = -3 into either equation of the parallel lines gives:

y = -1/3(-3) - 7 = -6

Using the distance formula we have:

d = √((x2 - x1)² + (y2 - y1)²)

d = √((-3 - 0)² + (-6 - 3)²)

d = √(9 + 81)

d = √(90)

d ≈ 9.49

Hence, the distance between the parallel lines y = -1/3x + 3 and y = -1/3x - 7 is approximately 9.49 units.

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Daffynition Decoder is a fun and challenging word puzzle that requires both creativity and logical thinking to solve. It is often found in puzzle books, newspapers, and online puzzle websites.

Daffynition Decoder is a word puzzle game that involves decoding phrases or sentences by using a letter-substitution method. The game provides a list of numbered words, where each word is a cryptic definition of a common word or phrase. The solver's goal is to figure out what each word represents and then use the letters from those words to decode a secret message. The game is typically played by filling in a chart or grid, where each row corresponds to a numbered word in the list, and each column represents a letter in the decoded message. The solver uses the numbered words to fill in the corresponding letters in the grid, eventually revealing the hidden message.

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Complete question:

What is project Daffynition Decoder?

The expression that is equivalent to 2(9x+6)/3-(8x-4)/2 is 8x, the correct option is T.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The function=2(9x+6)/3-(8x-4)/2.

Now,

First, let's simplify the expression given:

2(9x+6)/3 - (8x-4)/2 = (18x + 12)/3 - (4x - 2) = 6x + 4 - 2x + 1 = 4x + 5

Now let's check which of the given expressions are equivalent to 4x + 5:

M. 2(x + 1) = 2x + 2 (not equivalent)

R. 2x+6 (not equivalent)

R. 2x + 2 (not equivalent)

S. 2(x + 3) = 2x + 6 (not equivalent)

T. 8x = 8x - 40 + 45 = 4x + 5 (equivalent)

Therefore, the answer of the given expression will be 8x.

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In order to resolve the ambiguity and find the correct solution, we need to use additional information such as the Law of Sines or the Law of Cosines.

what is a Triangle ?

Triangle can be defined in which it consists three sides, three angles and sum of three angles is always 180 degrees.

An ambiguous case in geometry refers to a situation where, given certain information about a triangle, there are two possible solutions for one of the unknown angles or sides. This situation arises in trigonometry when we have to solve a triangle using the Law of Sines or the Law of Cosines.

The conditions that create an ambiguous case with two possible solutions are as follows:

Given two sides and an angle opposite one of the sides:

If we are given two sides and an angle opposite one of the sides, there can be two possible solutions for the triangle. For example, if we are given side lengths of 4 and 5, and an angle of 40 degrees opposite the side of length 4, there are two possible triangles that can be formed.

Given two angles and a side opposite one of the angles:

If we are given two angles and a side opposite one of the angles, there can be two possible solutions for the triangle. For example, if we are given angles of 30 degrees and 60 degrees, and a side length of 4 opposite the 30-degree angle, there are two possible triangles that can be formed.

In both of these cases, the ambiguous case arises when the given information is not sufficient to uniquely determine the triangle.

Therefore,  In order to resolve the ambiguity and find the correct solution, we need to use additional information such as the Law of Sines or the Law of Cosines.

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Because the denominators of both fraction have been changed to 7/8=21/24 and 5/6=20/24, respectively,

In mathematics, a denominator is the lowest number in such a fraction that indicates how many equal parts are split into a whole. It is a fraction's divisor.

Divisor is another synonym for denominator. In a common fraction, the integer under the line is described by both of these terms. Similar to this, when discussing statistical values, the term "denominator" refers to the entire population or number out of which samples are selected.

Common denominator is going to be [tex]24[/tex]

[tex]8=2*2*2\\6=2*3\\24=2*2*2*3[/tex]

[tex]8[/tex] should be multiplied by [tex]3[/tex]

[tex]6[/tex] should be multiplied by [tex]4[/tex]

[tex]7/8=(7*3)/(8*3)=21/3\\5/6=(5*4)/(6*4)=20/24\\7/8=21/24\\5/6=20/24[/tex]

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Answer: 81.75

Make 7 an improper fraction:

[tex]\frac{109}{12}[/tex] = [tex]\frac{k}{9}[/tex]

(9)(109) = 12k

981 = 12k

k = 81.75

1. The Range of Elevation for Long beach is 367 feet.

2. The Range of Elevation for New Orleans is 33 feet.

3. New Orleans have the average of 2 feet below sea.

In statistics, the range is the difference between the highest and lowest values for a given data collection.

Given:

1. The Range of Elevation for Long beach

= Highest - Lowest

= 360 - (-7)

= 360 + 7

= 367 feet

2. The Range of Elevation for New Orleans

= Highest - Lowest

= 25- (-8)

= 25+ 8

= 33 feet

3. New Orleans have the average of 2 feet below sea.

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Step-by-step explanation:

=6+(-4)(2-3)²

=6+(-4)(-1)²

=6-4×1

=2

Answer:

18 dollars

Step-by-step explanation:

he is left with 8 dollars. He buys one granola bar (2), one smoothie (3), and one sandwich (5).

This means that he has spent 2 dollars, 3 dollars, and 5 dollars, which totals  10 dollars (2 + 3 + 5 = 10). He is left with 8 dollars, so we know that he originally had 18 dollars because 10 + 8 = 18.

Answer:

To calculate the monthly payment for an installment loan, we can use the formula:

M = P * r * (1 + r)^n / [(1 + r)^n - 1]

where:

M = monthly payment

P = principal (amount borrowed)

r = monthly interest rate (annual interest rate divided by 12)

n = total number of payments

In this case, Adolfo borrowed $6,800, and the loan is to be repaid in 24 monthly payments at an 18% APR. First, we need to calculate the monthly interest rate:

r = 18% / 12 = 0.015

Next, we can substitute the given values into the formula:

M = 6,800 * 0.015 * (1 + 0.015)^24 / [(1 + 0.015)^24 - 1]

M ≈ $342.03

Therefore, the monthly payment for Adolfo's installment loan is approximately $342.03.

Step-by-step explanation:

Answer:$342.03.

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be  fountain's diameter in the model is roughly 2.0556 inches.

The measurements taken from this nanosecond variable section must be multiplied by two in order to complete the task using the unitary technique. In essence, the characterised by a group and the colour sections are both removed from the unit expression method when a desired object is present. For example, 40 pens with a variable price would pay Inr ($1.01).

Here,

We can use proportionality to determine the breadth of the fountain in the model if the scale is 1 inch = 9 feet. The following percentage can be configured:

Model fountain width divided by one inch equals actual fountain width multiplied by nine feet.

The diameter of the fountain is stated to be 18 1/2 feet in real life, which is the same as 18.5 feet. Adding this number to the proportion results in:

1 inch of the model fountain's diameter divided by 18.5 feet by 9 feet

If we simplify, we get:

diameter of the model's fountain / 1 = 2.0556

By dividing the two edges by one inch, we obtain:

Modeled fountain width is 2.0556 inches.

As a result, the fountain's diameter in the model is roughly 2.0556 inches.

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