Which equation matches this statement?
Finn buys a toy boat for $45.50 including tax. He was charged 7% sales tax on the original price.

HELPPPP PLEASE!!!

Answer:

( 4x + 8) = 4 (x + 2)

Step-by-step explanation:

We have to factor out the GCF

We see that ( 4x+8) have the GCF is 4, so 4 will go outside, and we have left x + 2

So the answer is

(4x+8) = 4 ( x +2)

The length of r is 2.4 inches.

What is the law of sines ?

The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

Given, In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°

We know that, The sum of all angles of a triangle is 180°.

So,  ∠Q + ∠R + ∠S =  180°

      ∠R = 180° - 129° - 30°

            = 21°

Now, We also know that the law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal.

So, q/Sin Q = r/Sin R = s/Sin S

Or, we can say

                 r/Sin R = s/Sin S

                 r/Sin 21° = s/Sin129°

                 r/Sin 21° = 5.2 / Sin 129°

                 r = 5.2 × Sin 21°/Sin 129°

                   = 5.2 × 0.46

                   = 2.4 inches.

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Answer:

a- 30

b- 90

Step-by-step explanation:

150 learn math

120 learn english

150+120 is 270

270 - 240  = 30

so 30 students learn both.

120 - 30 = 90

so 90 learn english only

get it?

The term "population regulation" refers to biological mechanisms that balance off disruptive occurrences, such as weather changes, alterations in the environment, the occurrence of disease epidemics, etc.

A straightforward equation that depicts population growth is as follows: Expression of Population Changes as a Percentage: Change in Population Size = (Births + Immigration) - (Deaths + Emigration). Let's say we had a population of 100,000 people.

The relative size of two functions' values for big values of the independent variable is what is meant when a term like "function growth" is used.

The term "population regulation" refers to biological mechanisms that balance off disruptive occurrences, such as weather changes, alterations in the environment, the occurrence of disease epidemics, etc.

A straightforward equation that depicts population growth is as follows: Expression of Population Changes as a Percentage: Change in Population Size = (Births + Immigration) - (Deaths + Emigration). Let's say we had a population of 100,000 people.

The relative size of two functions' values for big values of the independent variable is what is meant when a term like "function growth" is used.

The term "population regulation" refers to biological mechanisms that balance off disruptive occurrences, such as weather changes, alterations in the environment, the occurrence of disease epidemics, etc.

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Answer:

[tex]y=4x+10[/tex]

Step-by-step explanation:

Using the points [tex](8,40)[/tex] and [tex](0,10)[/tex],

[tex]m=\frac{40-10}{8-0}=4.5 \\ \\ \therefore y=4.5x+10[/tex]

This matches most closely with the second option.

If the given triangle has all three sides as congruent and the angles are same then the triangle is an equilateral triangle.

We will use the figure given below to prove the triangle as an equilateral triangle.

In the above figure,

Given, vertices of a triangle are A(X1, Y1), B(X2, Y2), and C(X3, Y3).

According to the properties of the equilateral triangle, the sides of an equilateral triangle should be equal in measure.

So, we use the distance formula:

d = √((x2 - x1)^2+(y2 - y1)^2 to verify if all three sides are congruent and equal to each other

If AB = BC = CA.

⇒ √((x(2) - x(1))^2 + (y(2) - y(1))^2) = √(x(3) - x(2))^2 + (y(3) - y(2))^2 = √(x(1) - x(3))^2+ (y(1) - y(3)) ^2

If the given triangle satisfies the above condition then the triangle is an equilateral triangle.

If the given triangle has all three sides as congruent then the triangles angles are also equal.

Hence, if the given triangle has all three sides as congruent and the angles are same then the triangle is an equilateral triangle.

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Tess can make 9 throw pillows from the 6 yards of fabric.

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 Tess wants to make throw pillows for her couch. she has 6 yards of fabric. each pillow uses 2 over 3 yards of fabric.

The number of pillows will be calculated as,

Number of pillows = 6 ÷ ( 2 / 3 )

Number of pillows = ( 6 x 3 ) / 2

Number of pillows = 9

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Answer:

Bias from using a convenience sample (C)

Step-by-step explanation:

This sampling method is an example of taking a convenience sample because the mobile phone service provider is only taking samples from the people that responded. The availability of certain people causes a bias in the data drawn from this sampling method.

Answer:

yes.

Step-by-step explanation:

The definition of a function:  "A function is defined as a relation between a set of inputs having one output each."

This means each x can only have 1 y value. You can check if this is a function using the vertical line test. To do the vertical line test draw vertical lines through the graph of the expression. If you even hit 2 points with a vertical line it is NOT as function.

The graph is of an upward facing parabola so it will be a function. We can graph and check this with the VLT which it passes.

The transformation of the (-k, k) about the line y = x will be (k, -k). Then the correct option is A.

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection will be given as,

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

Now, the rule for reflecting a point about the line y = -x is;

While reflecting on the line y = -x, we get the reflected points by multiplying '-1' with the swapped coordinates.

The change of the (- k, k) about the line y = x will be (k, - k). Then the right choice is A.

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Bar line is a notation used in place of repeating numbers. It is also graphical representation used in graphs.

Bar line is a simple notation used to express a repeating number by placing a line over the number that repeats.  when numbers go on forever and when not to use bar notation.

Bar line is also used in graphs. A bar line in the graph is a graphical representation based on the different parameters. They are drawn in cases when the items are compared based on the multiple parameters or observations.

There is another bar line called the vertical bar ( | ) also called the vertical line, vertical slash or upright slash is a symbol used in mathematics, computing and other areas to represent a specific type of logic or operation, depending on its context. Even within a single area such as computing, the vertical bar is applied in multiple ways.

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Continuity of a function is when the function is continuous over the range of its domain. An example is a function f(x) = x^2, which is continuous over its domain of x∈R.

Continuity of a function is when the function is continuous over the range of its domain. A function is continuous if the graph of the function is a single, connected curve with no breaks or gaps. This means that for any point on the curve, the function is non-discontinuous. An example of a continuous function is f(x) = x^2, which is continuous over its domain of x∈R. This means that, no matter what value is put into the function, the output will always be a single value and the graph of the function will be a single, connected line. This is because the function is continuous over its entire domain, and therefore there are no breaks or discontinuities in the function. This is an example of continuity of a function.

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Data integration combines data collected from various platforms to increase its value for your company. It enables your staff to collaborate more effectively and provide more for your clients.So IT is important to integrate information.

The combining of data from diverse sources with various conceptual, contextual, and typographic representations is known as information integration. It is utilised for data aggregation and mining from unstructured or partially organised sources. You may connect all of your data, people, and processes in a single solution by using an integrated solution. Today's top HSEQ management teams regard this strategy as best practise. The justification for this is straightforward: it improves reporting, efficiency, uniformity, speed, and ease of use. An integrated report's main goal is to describe to financial capital providers how a company builds, protects, or loses value over time. As a result, it includes pertinent information, both financial and otherwise.

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Answer:

The distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).

Step-by-step explanation:

To find the distance between the two points, we can use the distance formula:

distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Plugging in the coordinates of the two points, we get:

distance = sqrt((a-b-a-b)^2 + (a+b-a+b)^2)

Simplifying, we get:

distance = sqrt(2*(a^2 + b^2))

Multiplying both sides by sqrt(2) gives us:

distance = 2*sqrt(2)*sqrt(a^2+b^2)

Therefore, the distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).

The three types of discontinuity are listed as follows:

Jump Discontinuity.

Infinite Discontinuity.

Removable Discontinuity.

The term discontinuity is referred as if a function is referred to as the point at which a Mathematical object is discontinuous.

The function will be discontinues if they meet the following conditions,

There are 3 type of discontinuity in math and they are listed as jump, infinite and removable.

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According to Proverbs 31, She should look for a man after God's heart a man who fears the Lord and has his life fixated on the principles of the Lord. A man with a godly wisdom. A man whose belief is in the Lord.

According to Proverbs 31, He should look for a lady of noble character, who nurtures and provides for her family, who brings pride to her man as she works graciously with her hands and knows the ways to provide for her family even during hard times, and mostly the women who fear the Lord. A woman of value and virtue in the Lord.

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She should seek for a man who has the heart of God, one who reveres the Lord and bases his actions on the rules of the Lord, according to Proverbs 31. a wise man who comes from God. a person who trusts in the Lord.

According to Proverbs 31, He should look for a woman of noble character, who nurtures and provides for her family, who offers honor to her spouse as she works chastely with her hands and knows the ways to care for her family even through hard times, and most of all the ladies who fear the Lord. a lady of worth and virtue before the Lord.

The distance between the two points (0,1) and (6,−7) is 10.

Distance can be defined as the length between two points.

To calculate the distance between the two points, we use the formula below.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the distance between the two points is 10.

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Answer:

Step-by-step explanation:

x= -6

Consequently, the original number is 27 and the reversal is 72.

A number is a numerical unit of measurement and labeling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.

Number words are a linguistic way to express numbers.

So, let the ones and tens places' digits be y and x, respectively.

initial value = 10x+y

number in reverse = 10y plus x

In response to the query:

3(10x+y)-9 = 10y+x

30x+3y-9-10y-x= 0

29x-7y-9 = 0 ...(1)

Since the reversed number is greater:

10y+x-(10x+y)=45

10y-y-10x+x-45 = 0

9y-9x-45=0

y-x-5=0

y= x+5 ...(2)

Place equation (2) into equation (1) immediately:

29x-7(x+5)-9=0

29x-7x-35-9=0

22x=44

x = 2

Now enter x=2 into equation (2):

y= 2+5= 7

Therefore, consequently, the original number is 27 and the reversal is 72.

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Correct question:
On reversing the digits of a two-digit number obtained is 9 less than three times the original number. If the difference between these two numbers is 45 find the original number.

The angle RST of the arc will be equal to 46°.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Given that the angle RUS is 46 and the angle URT is 36.

The angle RST has the same arc that is made by the angle RUS. From that theorem, we can conclude that the angle RUS will be equal to the angle RST.

∠RUS = ∠RST

∠RST = 46°

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Answer:

5

Step-by-step explanation:

there are five terms: 5xy, 9yz, 3zx, 5x, and 4y.

In mathematics, a term is a part of an expression that is separated by a plus or minus sign. In this expression, the terms are 5xy, 9yz, 3zx, 5x, and 4y. Note that the equation in the question is formatted a little awkwardly, so make sure to count how many terms you see yourself too!

The factored form of the expression 6x² - 5x - 6 is (3x + 2)(2x - 3)    .

The Factored form of quadratic equations means expressing the polynomial as a product of its linear factors. This  process allows to simplify quadratic expressions, find their roots and solve further .

The expression is given ; 6x² - 5x - 6 .

= 6x² - 9x + 4x - 6    ,....by using split the middle term method ;

= 3x(2x - 3) +2(2x - 3) ;

= (3x + 2)(2x - 3)

Therefore , the factored form is (3x + 2)(2x - 3)  .

The given question is incomplete , the complete question is

What is the factored form of this expression 6x² - 5x - 6 ?

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AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Hence proved

AAS (Angle-Angle-Side):

Suppose we have two triangles from figure ABC and DEF, where,

∠B = ∠E [Corresponding angles] ∠C = ∠F [Corresponding angles] And

AC = DF [Adjacent sides]

By angle sum property of triangle, we know that;

∠A + ∠B + ∠C = 180 ………(1)

∠D + ∠E + ∠F = 180 ……….(2)

From equation 1 and 2 we can say;

∠A + ∠B + ∠C = ∠D + ∠E + ∠F

∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D

Hence, in triangle ABC and DEF,

∠A = ∠D

AC = DF

∠C = ∠F

Hence, by ASA congruency,

Δ ABC ≅ Δ DEF

So AAS (Angle-Angle-Side) congruence rule is hence proved.

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Answer:

Step-by-step explanation:

3. collinear = on the same line. Answer: C

4. A

5. If two lines intersect, they intersect at a point. Answer: Point C

6. B

7. AB + BC = AC

AB + 9 = 22

AB = 13

8. EF + FG = EG

2 + 3 = EG

EG = 5

9. m<MNP + m<PNO = m<MNO

20 + m<PNO = 85

m<PNO = 65

10. m<GHK + m<KHJ = m<GHJ

90 + 31 = m<GHJ

m<GHJ = 121

11. AM = MB = 10

AM = 10

12. EM = MF = (1/2)EF = 14

MF = 14

13. GM + MH = GH

GM = MH = 3.4

3.4 + 3.4 = GH

GH = 6.8

14. m<CAB = m<BAD = (1/2)m<CAD

m<CAD = 40; (1/2)m<CAD = 20

x = m<BAD = 20

15. m<CAB = m<BAD

2y + 25 = 3y

25 = y

y = 25

To find the vertical asymptote, look for the values of x where the denominator of a function equals 0. To find the removable discontinuity, look for the values of x where the numerator of a function equals 0.

Vertical asymptotes are x-values where the denominator of a fraction is equal to 0. To find the vertical asymptote, we need to set the denominator equal to 0 and solve for x. This will give us the x-values where the graph of the function has a vertical asymptote. Removable discontinuities are x-values where the numerator of a fraction is equal to 0. To find the removable discontinuity, we need to set the numerator equal to 0 and solve for x. This will give us the x-values where the graph of the function has a removable discontinuity. In both cases, once we have the x-values, we can plot the graph of the function and see where the vertical asymptote and removable discontinuity are located. We can also use these x-values to determine the behavior of the function in the vicinity of the vertical asymptote or removable discontinuity.

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SSS, SAS, AAS, and RHS are the similarity theories that are used to prove that two triangles are similar.

RHS: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent

SSS: In side side side postulate if all three sides of a triangle is equal to the respective three sides of the other triangle then we will use SSS postulate.

SAS: In side angle side postulate if two sides and one angle of a triangle is equal to the respective two sides and angle then we will use the SAS postulate.

AAS: In angle angle side postulate if two angle and one side of a triangle is equal to the other two angle and side of an another triangle respectively then we will use AAS postulate.

SSS,SAS,AAS,RHS are the similarity postulates that are use to prove two triangle is similar.

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Answer:

11/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

44/60=22/30=11/15

11/15

During rigid transformations, the shape, size, and orientation of an object remain the same, while its position in space changes. This means that the distance between any two points on the object remains constant, as does the angle between any two lines. Additionally, the orientation of the object's axes (length, width, and height) remain the same.

Transformations are a general term for four different methods of changing the location and/or shape of a point, line, or geometric figure. The shape of the object is revealed in its pre-image, while its final form and position are revealed in the image following transformation.

A transformation is characterized by a significant alteration in appearance or form. Your life may change as a result of a significant event, such earning your driver's license, beginning college, or getting married. A significant, abrupt transformation is called a metamorphosis.

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The hypotheses that would determine if the proportion of households that support starting school earlier has changed this year is C. H 0: p = 0.65, H alpha: p greater-than 0.65.

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a given set of observations.

It is tested to see if there has been no change at the null hypothesis, which means that the proportion is still 0.65 = 65%.

It is tested whether there has been a change at the alternative hypotheses, that is, whether the proportion is no longer 0.65 = 65%.

Therefore, the correct option is C.

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Complete options

Group of answer choices

H 0: p not-equals 0.70, H alpha: p = 0.70

H 0: p = 0.70, H alpha: p not-equals 0.70

H 0: p = 0.65, H alpha: p greater-than 0.65

H 0: p = 0.65, H alpha: p not-equals 0.65

The equation that can be used to calculate how many minutes after 4:00 p.m. she will arrive at her location is y = 4x - 16.

The correct equation is:

y = 4x - 16

This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "4x" represents the time the pilot will arrive at her destination if she had traveled at her original speed, and the "-16" represents the delay caused by air traffic.

To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:

y = 4(60) - 16

= 240 - 16

= 224

This means that the pilot will arrive 224 minutes after 4:00 p.m., or at 6:24 p.m.

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