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1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9

2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)

3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2

4. -4 < 8 Divide both sides by -4, then by -2

5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Based on the two-way table, there seems to be a relationship between the type of books Julia's friends like best and the number of books they have read this month, A. Yes, because those who like fiction read one book at a rate four times that of those who read non-fiction books.

A two-way table, also called a contingency table, is a statistical table that shows the observed frequency for two variables.

The rows of a two-way table indicate one category and the columns indicate the other category.

For instance, based on the two-way table, one can observe that 80% of Julia's friends prefer fiction while 20% prefer non-fiction.

Among those who read 1 book this month, 80% read fiction against 20% who read non-fiction.  Similarly, among those who read 2 books this month, the same 80% read fiction against 20% who read non-fiction.

The number of students who prefer fiction = 60

The number of students who prefer non-fiction = 15

The number of fiction-preferring students who read 1 book this month = 40, which is 80% of the total (40/50 x 100).

The number of fiction-preferring students who read 2 books this month = 20, which is 80% of the total (20/25 x 100).

Thus, we can conclude that Option A is correct.

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The Two-way Table:

                                       Read 1 book         Read 2 books     Total

Prefer fiction books               40                            20              60

Prefer non-fiction books        10                              5               15

Total                                       50                            25              75

The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.

A number is divisible by 9 if the sum of its digits is also 9-divisible.

Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.

Using the aforementioned attribute, we can say

3 + A + A +1 = 9, 18, or 27

4 + 2A =  9, OR 18, OR 27

taking 18

2A = 18 - 4

2A = 14

A = 7

Because of this, the whole digits are 3771

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Answer: 75p

Step-by-step explanation:

So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p

Answer:

p + s = 45

s = 2p + 5

Step-by-step explanation:

Let s = number of students.

Let p = number of parents.

p + s = 45

s = 2p + 5

The ball will reach a height of 3 feet at t = 5/4 seconds.

To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5

We are given that the height of the ball is 3 feet, so we can set up the equation:

3 = -16[tex]t^2[/tex] + 40t + 5

Then we can solve for t by isolating t on one side of the equation and then solving for t:

3 = -16[tex]t^2[/tex] + 40t + 5

-5 = -16[tex]t^2[/tex] + 40t

16[tex]t^2[/tex] - 40t - 5 = 0

We can factor the left side of the equation:

(4t - 5)(4t + 1) = 0

So we have two possible solutions:

t = 5/4 or t = -1/4

However, the time cannot be negative, so the only valid solution is t = 5/4.

So the ball will reach a height of 3 feet at t = 5/4 seconds.

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Answer: 0.640

Step-by-step explanation:

Multiply in your calculator

The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18

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

Expression: z − 2xy

Values: x = 3, y = -4 and z = -6

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

z − 2xy = -6 - 2 * 3 * -4

Evaluate the products

This gives

z − 2xy = -6 + 24

Evaluate the like terms in the equation

So, we have the following representation

z − 2xy = 18

Using the above as a guide, we have the following:

The solution is 18

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Answer:

just ask your teacher for clarification, then you will actually learn...

The corresponding element in the range when 7 is an element  in the domain is f(7)=33

Step-by-step explanation:

Given that the 7 is an element in the domain of f(x)

The function f is defined by f(x)=6x-18/2

To find the corresponding element in the range:

That is put x=7 in the given function f(x)

Therefore f(x) becomes

f(7) = 6(7)-18/2

      =42-18/2

      =42-9

      =33

Therefore corresponding element in the range when 7 is an element  in the domain is f(7)=33

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The total hours did Brendan work that week is 669.86.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The total hours did Brendan work that week is 669.86.

The complete question is: Brendan is an hourly worker and earns $15.25/hour. During a week's pay period, he worked the following hours and minutes:

Day Hours Minutes

Monday 8 45

Tuesday 7 52

Wednesday 8 0

Thursday 9 36

Friday 8 24

Using the hundredth-hour method, what is Brendan's gross pay for the week? The employer pays overtime for all time worked in excess of 40 hours per week.

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On a graph, y 3x 3 would be a line that is 3 units below the line y = 3x. It would have the same slope but lower y-intercept.

To graph y 3x 3, we can first graph y = 3x. To do this, we can pick any two points along the line and plot them. For example, if we choose (0,0) and (1,3), the line would look like this:

(0,0) -------------------------- (1,3)

Now, to graph y 3x 3, we want to move the line 3 units down. Therefore, the new points that we plot should be (0,-3) and (1,0). The graph should look like this:

(0,-3) -------------------------- (1,0)

This line is 3 units below the line y = 3x. It has the same slope, but a lower y-intercept.

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Option (D) that is (3.5, 8.75) is the ordered pair of point S.

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions. Two variables are frequently represented by ordered pairs. We mean x = 7 and y = -2 when we write (x, y) = (7, -2). The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The ordered pair of point S is option (D), which is (3.5, 8.75).

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Complete question: Pentagon OPQRS is shown on the coordinate plane below:

Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.

If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O’P’Q’R’S’, what is the ordered pair of point S’?

Answer:

Step-by-step explanation:

3.00

A) The frequencies and the relative frequencies of the observations are as follows,

Value __frequency (F)__Relative frequency (x)

0_____ 7 _______ 7/60 = 0.1167

1 _____ 12_ _____ 12/60 = 0.200

2 _____ 12_______ 12/60 = 0.200

3 _____ 14 _______ 14/60 = 0.2333

4 _____ 6 _______ 6/60 = 0.1000

5 _____ 3________ 3/60 = 0.0500

6 _____ 3 _______ 3/60 = 0.0500

7 _____ 1 _______  1/60 = 0.0167

8 _____ 1 ________ 1/60 = 0.0167

B)  What proportion of batches in the sample have at most five nonconforming transducers?

X =  0.1167 +0.200 +0.200 +0.2333 +0.100

= 0.85

Relative frequency

A relative frequency is the ratio of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes.

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The equation of line is given by y = 25x + 80.

The equation of a line is expressed as y = mx + b where m exists the slope and b exists the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

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The equation of line is given by y = 25x + 80, this represent the linear function between the amount of money and the saved amount.

The equation of a line is expressed as y = mx + b where m is called the slope and b is called the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

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Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

Each x value in the domain has one but only one y value

range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.

Here,

It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.

The graph is positive if it is located above the x-axis.

A negative graph is one that is located below the x-axis.

The graph of the function in this issue is shown by the red line, and:

The function is negative for x values less than 0 since it is below the x-axis.

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

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No, 8 15 17 is not a right angle triangle. A right angle triangle is a triangle in which one of the three angles is equal to 90 degrees.

To determine if a triangle is a right angle triangle, we can use the Pythagorean theorem. This states that in a right angle triangle, the sum of the squares of the two shorter sides (a and b) will equal the square of the longest side (c).

In this case, the length of the sides are 8, 15 and 17. We can calculate the sum of the squares of the two shorter sides, which is 8² + 15² = 144 + 225 = 369. However, the square of the longest side (17²) is 289. Since 289 is not equal to 369, this means that 8 15 17 is not a right angle triangle.

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==========================================================

Explanation:

Pick any two points on the line to apply the slope formula.

I'll select (-5,1) and (5,-1)

[tex](x_1,y_1) = (-5,1) \text{ and } (x_2,y_2) = (5,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-1 - 1}{5 - (-5)}\\\\m = \frac{-1 - 1}{5 + 5}\\\\m = \frac{-2}{10}\\\\m = -\frac{1}{5}\\\\[/tex]

The slope as a fraction is -1/5

A slope of -1/5 means " go down 1, then to the right 5 units".

An example of this motion is when going from (-5,1) to (0,0)

Another example would be going from (0,0) to (5,-1)

----------

The "down 1, right 5" motion is because

Answer:

Step-by-step explanation:

x=11

y=14

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.

given

14 is tangent to the circle and 9 is a radius, making this a right triangle.

In order to resolve this issue, we can employ the Pythagorean theorem.

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

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The difference in perimeters is 6.

We  have  3  possible  points  for  the  last  vertex.

These  are

[ -1 + 2 , 0 + 4 ]  - [ 2 , -4 ]  =  [  [ 1 , 4] - [2 , - 4 ] =   ( -1, 8  )

The perimeter of this parallelogram = [tex]2 [ \sqrt{(-1-2)^{2} + (8-4)^2]} + 8][/tex]

                                                            = [tex]2 [ \sqrt{9+16}+ 8 ][/tex]

                                                            = 2 [ 5  + 8 ]

                                                            = 26

Another possible  point is

[ 2 + 2, 4 - 4]  - [-1,0] =  [ 4, 0]  - [ -1,0]  = (5,0)

The perimeter of this parallelogram

= [tex]2 [ \sqrt{(5-2)^{2} +(0-4)^{2} } + \sqrt{(2+1)^{2}+ (4-0)^{2} } ][/tex]

= [tex]2 [ \sqrt{3^{2}+ 4^{2} } + \sqrt{3^{2}+ 4^{2} }][/tex]

= [tex]2(\sqrt{25} +\sqrt{25})[/tex]

= 2(5 + 5)

= 20

The third feasible point won't change either the largest perimeter of 26 or the smallest perimeter of 20; therefore, we don't need to calculate it.

Difference = 26-20

                  = 6

Hence, the difference in perimeters is 6.

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The complete maze pattern is shown below.

Given is an exponent maze.

We can complete the maze as -

START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.

Therefore, the complete maze pattern is shown above.

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The cleaning company would charge $150 for cleaning two rooms according to the fixed charges.

A fixed amount is a fixed amount or amount established by agreement or contract. This amount is usually a specified amount, does not change over time, and is usually paid on demand or by a certain date. Fixed amounts are commonly used in loans, insurance, and other financial contracts.

This cost is calculated by dividing the difference between the total cost of 6 and 8 rooms by the number of rooms cleaned (6 - 2 or 4).

= ($250 - $320)/4

= $40

This will give you a price of for each additional room.

To calculate the cost of two rooms, simply add the fixed amount of the home visit and double the cost ($40) for each additional room. That's a total of $150 for two rooms.

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A and E are the vowels that theoretical probability was closet to the experimental probability.

The probability is 0.1685%

Probability:

Probability defines the probability of an event occurring. There are many real world situations where we need to predict the outcome of an event. We may or may not be certain about the outcome of an event. In such cases, I say that this event may or may not occur. Probability in general has excellent applications for making probability-based predictions in games and economics, and it also has widespread applications in this emerging field of artificial intelligence. The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative. The formula for calculating the probability of a

event is:

probability (event) = favorable outcome/total outcome

Now,

According to the Question:

N vowels = N(A) + N(E) + N(I) + N(O) + N(U)

                =9 + 12 + 9 + 8 + 4

                =42

The total number of letters is:

1×5+2×10+3×1+4×4+6×3+8×1+9×2+12×1=100

This is because dragging the tile reduces the number of vowels and the total number of letters.

p =42×41×...×36100×99×...×94

= 5916335104300

≈ 0.1685%

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Answer: slope=2

Step-by-step explanation:

using y=mx+b, we know the equation of the line is y=2x. The slope is the m term so we know that the slope is 2.

Answer:

[tex]h=\pm6[/tex]

Step-by-step explanation:

[tex]3h^4=3888\\h^4=1296\\h=\pm6[/tex]

The equation of line passing through (-9,-10) and(7,-3) will be y = (7/16)x - 1

Slope is a measure of the steepness of a line, and it is also known as the "gradient." It is a ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. It is often represented by the letter "m" in the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

The formula to find the equation of a line given two points is:

y - y1 = m(x - x1)

where (x1,y1) and (x2,y2) are the coordinates of the two points on the line, and m is the slope of the line, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

m = (y2 - y1) / (x2 - x1)

where (x1,y1) and (x2,y2) are the coordinates of the two points.

so the slope m = (-3 - (-10)) / (7 - (-9)) = 7/16

We can use point slope form to get the equation of the line passing through the two points:

y - y1 = m(x - x1)

so the equation of the line is y - (-10) = (7/16)(x + 9)

=> y = (7/16)x + (-10) + (9 * 7/16)

=> y = (7/16)x - 1

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[tex]10\frac{1}{12}[/tex]  is the distance between  [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

The given fractions are mixed fractions we have to convert them to improper fractions

[tex]-6\frac{1}{3}[/tex] =-17/3

[tex]4\frac{5}{12}[/tex] =53/12

Now we have to find the difference

53/12-(-17/3)

53/12+17/3

53+68/12

121/12

[tex]10\frac{1}{12}[/tex]

Hence, [tex]10\frac{1}{12}[/tex]  is the distance between  [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

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Answer:

Step-by-step explanation:

oh thats easy its 2

To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.

A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".

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