Can I get help in number 6?

The value of x is 9.32 after solving using the Pythagoras theorem.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

The diagram has 4 corners namely - A, B, C and D.

Draw a perpendicular through B.

The intersecting point at line AD is named as E.

It can be seen in figure that EDCB is a rectangle and falls under the category of parallelogram.

So, angle ADC = angle DEB = angle AEB = 90° .

Now, side BC = ED = 5.

So, side AE = 18 - 5 = 13.

Here, it can be seen that triangle ABE is a right-angled triangle.

So, to get the measurement of side BE, apply the Pythagoras theorem -

c^2 = a^2 + b^2

Where, a is perpendicular, b is base and c is hypotenuse.

So, according to the diagram -

(16)^2 = (13)^2 - (BE)^2

(BE)^2 = (16)^2 - (13)^2

(BE)^2 = 256 - 169

(BE)^2 = [tex]\sqrt{87}[/tex]

(BE)^2 = 9.32

Now, as  EDCB is a rectangle so, side BE = side CD.

Therefore, the value for side CD = x = 9.32.

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Answer:

85.71% probability

Step-by-step explanation:

30 of 35 of the students are in abc range so take 35/100% or 0.35 and go 30/0.35 and you get 85.71%

this is a question of set of equations and solution is as follows,

Williamston Daily newspaper started printing newspaper.

Three years ago they had 5900 subscribers.

every month there is an increase of 66 new subscribers.

n is the number of months the paper has been printed.

so, the linear model will be  

B= early subscriber + number of month × increments

B= 5900 + n × 66

B= 66 n + 5900

Example - subscribers after 3 months,

n = 3

= 66 x 3 +5900

= 198 + 5900

= 6000

set of equations

A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Linear equations

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

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The domain of √ (square root) is all non-negative real numbers.

The domain of a function represents the set of all input values that can be used in the function without resulting in an undefined or meaningless output.

The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number.

This is because in order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. Therefore, any real number greater than or equal to zero can be used as the input for the square root function, making its domain all non-negative real numbers.

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A problem is just a function or even a mapping of inputs to outputs. An algorithm is a recipe for solving a problem with concrete and unambiguous steps.

In mathematics and computer science, an algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or perform a computation.

Algorithms are data calculation and processing specifications. More advanced algorithms can use conditionals to divert code execution through various paths (referred to as automated decision-making) & deduce valid inferences (referred to as automated reasoning), eventually achieving automation.

Alan Turing used metaphorical terms like "memory", "search," and "stimulus" to describe machines.

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Meaning of the △ is: the given symbol is the representation of the geometrical figure triangle.

Therefore, the meaning of the given symbol △ is the representation of the triangle.

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Answer:

x-intercept:  (-56, 0)

y-intercept:  (0, -14)

Step-by-step explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  To find the x-intercept, substitute y=0 into the given equation:

[tex]\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}[/tex]

Therefore, the x-intercept of the given linear equation is:

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  To find the y-intercept, substitute x=0 into the given equation:

[tex]\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}[/tex]

Therefore, the y-intercept of the given linear equation is:

600 g flour is needed to make the recipe which needs 150 g flour for 3 people, for 6 people.

Given that a recipe for 3 people uses 150 g of flour.

We know that the relation between quantity of flour and number of people for whom recipe will be prepared is directly proportional.

So if the number of people will increase so the quantity of flour will be needed more.

The flour needed to make the recipe for 1 people is = 150/3 = 50 g.

The flour needed to make the recipe for 6 people will be = 50 * 6 = 300 g.

Hence 600 g flour is needed to make the same recipe for 6 people.

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The function which can which can define the number of flowers in the arrangement is f(x) = 64 + 18x. The domain is found to be [ 0 , 5 ] and the range is [ 64 , 154 ].

Let the number of flowers which is to be calculated be x,

now we know that she already have 64 flowers and that each arrangement will have 18 flowers.

Therefore, the number of flowers can be given by the function , f(x) = 64 + 18x.

Now , we know that the maximum number of flowers which she can buy externally is 5 , which means the domain becomes  [0,5] .

To find the range we will put the value of domain in the given function.

when x = 0 ,

f(0) = 64

when x = 5,

f(5) = 154

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If star A is closer to us than star B, then Star A's parallax angle is: Larger than that of Star B.

Hence, option (A) is correct choice.

The parallax of a star at a distance of 10 parsecs would be 0.1′′ since parallax is inversely proportional to distance. The parallax of Proxima Centauri, a star in the triple system of Alpha Centauri, is 0.76813′′, indicating that it is 4.24 light-years away from Earth at a distance of 1/0.76813, or 1.302 parsecs.

The apparent shift in an object's location caused by a change in the observer position is known as parallax. This apparent shift is measured (in arc seconds) is reversed to provide the distance from the background stars (in parsecs).

The definition of an object's absolute magnitude is the apparent magnitude the object would have if it were observed at a distance of precisely 10 parsecs (32.6 light-years), without light extinction.

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Using Heron's formula the area of the triangle is 15.78cm²

Heron's formula is a formula for calculating the area of a triangle when the lengths of all three sides are known. It is named after the Greek mathematician and engineer Heron of Alexandria (c. 10–70 AD). The formula is:

Area = √s(s-a)(s-b)(s-c)

Where a, b, and c are the lengths of the sides of the triangle, and s is the semi-perimeter, or half the perimeter, of the triangle, given by:

s = (a + b + c)/2

Let's define the variables as;

s = (5.1 + 7.8 + 6.2) / 2

s = 9.55cm

The area can be calculated as;

A = √s(s - a)(s - b)(s - c)

A = √9.55(9.55 - 5.1)(9.55 - 7.8)(9.55 - 6.2)

A = 15.78cm²

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$1052 is the total saving og Ms. Davis after 30 weeks from the given point .

Given that:

Inital saving of Ms. Davis = $54.50

Ms. Davis has already saved $54.50 and plans to save an additional $33.25 each week for the next 30 weeks. This means that she will be adding a total of $33.25 x 30 = $997.50 to her savings over the next 30 weeks.

If she does not spend any of the money she has saved, her total savings will be :

sum of Initial saving and saving after 30 weeks

$54.50 + $997.50 = $1,052.00.

so the total saving is $1052.

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Answer:

it 33 pts not 50

There are 23.33 pounds of defective nails should the manager expect the 350-pound delivery to contain.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails.

And, The manager found that 0.3 pounds of nails in the sample were defective.

Since, The manager found that 0.3 pounds of nails in the sample were defective.

Hence, Amount of pounds of defective nails should the manager expect the 350-pound delivery to contain is,

⇒ 350 × 0.3 / 4.5

⇒ 23.33 pounds

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The correct option regarding the solutions of the system of equations for this problem are given as follows:

The solutions are (-1.19, 4.47) and (2.52, 27.92).

The system of equations for this problem is defined as follows:

Adding the two equations, we can eliminate the variable y, hence:

3x² - 4x - 9 = 0.

Meaning that this is a quadratic equation with the coefficients given as follows:

a = 3, b = -4, c = -9.

Inserting these parameters into a quadratic equation calculator, the solutions for x of the quadratic equation are given as follows:

x = -1.19 and x = 2.52.

When x = -1.19, the solution for y is calculated as follows:

y = 4x² + x = 4(-1.19)² - 1.19 = 4.47.

When x = 2.52, the solution for y is calculated as follows:

y = 4x² + x = 4(2.52)² + 2.52 = 27.92.

Meaning that the correct option is given by the second option.

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The factors of given quadratic expression are (4a+3) and (a+6).

The factors are the polynomials which are multiplied to produce the original polynomial.

The given quadratic expression is 4a²+27a+18.

By splitting middle term method, we get

4a²+3a+24a+18

= a(4a+3)+6(4a+3)

= (4a+3)(a+6)

Therefore, the factors of given quadratic expression are (4a+3) and (a+6).

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The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.

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Answer:

C = 0.06x + 0.45

Step-by-step explanation:

Today is 2023

So, from 2016 to 2023, it has been 7 years.

0.85 - 0.45 = $0.40

So, $0.40 is the increase in 7 years

0.40 / 7 = $0.06

So, $0.06 is the change per year

Let C represent the total cost and x represent the number of years and we have

C= 0.06x + 0.45

The equation that best represents the line on the first graph is

5x + 3y = 3

Option C is the correct answer.

The equation that best represents the line on the second graph is

x - y = -7

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Pick two coordinates that the line passes through in each graph.

First graph:

(0, 1) and (-3, 6)

m = (6 - 1)/ (-3 - 0) = 5/-3 = -5/3

(0, 1) = (x, y)

1 = (-5/3)0 + c

c = 1

Now,

y = (-5/3)x + 1

3y = -5x + 3

5x + 3y = 3

Second graph:

(0, 7) and (-5, 2)

m = (2 - 7) / (-5 - 0) = -5/-5 = 1

(0, 7) = (x, y)

7 = 1 x 0 + c

c = 7
y = x + 7

x - y = -7

Thus,

The equation of the first graph is 5x + 3y = 3.

The equation of the second graph is x - y = -7.

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Answer:

no, it's not correct

Step-by-step explanation:

volume or the cube = L³

so if we doubled the side lengths

They would be 2L

then the volume= (2L)³ = 8L³

so that would make the volume 8 times the first value not double

Using properties of operations, the expression is 3(c-4)= 3c-12.

What are the properties of operations?

Now, we are given the expression 3(c-4)

Using the properties of operation,

3(c-4)= (3*c)-(3*4)

= 3c-12

Hence, the equivalent expressions are 3(c-4)=3c-12.

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Question- Use properties of operations to complete the equivalent expressions. 3(c−4)=​___c−​___

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

what is unitary method ?

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)

given

A salesperson purchases three dozen vases (12 * 3 = 36),

at a cost of 36 * €16.25 (or $585),

with seventeen remaining.

The cost of selling each remaining vase is € 585 / 17

= € 34.41.

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

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Since, Kim works on commission and her trend of monthly earnings are not constant, Calculate the average from the data and estimate for the whole year , The answer is C) $15,720

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It helps to make sense of large amount of data and use it to draw conclusions and make informed decisions. It provides methods to summarize, describe and analyze data, as well as techniques to infer characteristics of a population from a sample.

The mean is a measure of central tendency and a way to describe the average value of a dataset. It is calculated by adding up all the values in a dataset and then dividing by the number of values. The resulting value is the mean of the dataset, also known as the arithmetic average. Mean is commonly used to describe a large data set, while median is used to describe data with values have outliers.

salary for four months = $1625, $960, $1235, and $1420.

Average = ($1625 + $960+ $1235+$1420) /4 = $1310

for whole year = $1310 * 12 = $15,720

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The correct option is y=1/4x.Because it holds the directly proportional relationships.

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Directly proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

A relationship is proportional if each pair of data values are related in the same way by multiplying by a factor. You can recognize a proportional relationship by looking at data.When two quantities x and y are in direct proportion then they are written as x ∝ y. Symbol “∝” stands for 'is proportional to'.

NOW we find

according to directly proportion

y∝x

y=kx

y/x=k

2/8 =k

1/4 =k

Now we get

y = 1/4x

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The expression written by Regina is y + 9, which means adding nine to some number y. None of the given expressions are equivalent to this expression.

The expression written by Regina is y + 9, which means adding nine to some number y. None of the given expressions are equivalent to this expression. In order for two expressions to be equivalent, they must have the same value when the same values are plugged into them. For example, if y is equal to 5, then y + 9 would be equal to

14, while (9. 3 • 4) + y

would be equal to

27, (9+ y (3 = 4))

would be equal to 17, and

(y + 9)(3 = 4)

would be equal to 21. As these values are not equal, the given expressions are not equivalent to the one written by Regina.

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The farther distance run by Kylie is 3 /10 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Kylie ran 7/10 of a mile and walked 2/5 of a mile. The distance will be calculated as,

Distance = ( 7/10 )  - ( 2 / 5)

Distance = ( 7 - 4 ) / 10

Distance = 3 / 10 miles

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The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

Let the price of the phone case is x.

And the price of the charging cord is y.

Discounted price for phone case:  15% of x = 0.15x

Discounted price for charging cord = 0.15y

Now, according to the question, the total discount is $4. 20

⇒0.15x + 0.15y = 4.20

⇒0.15 * 18 + 0.15y = 4.20

⇒2.7 + 0.15y = 4.20

⇒0.15y = 4.2 - 2.7

⇒y = 1.5/0.15

⇒y = $10

Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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