What are the center and radius of the circle given by x^2 + y^2 - 16x + 8y + 4 = 0?

The 7 types of system are-

Physical or abstract systems, open and closed systems, larger system, permanent and temporary, Natural systems, Man-made system.

Physical or abstract systems:

open and closed systems:

larger system:

Permanent and temporary:

Natural systems:

Man-made system:

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The cost of one bag of pretzel is $ 1.80

The cost of one bag of granola bars is $ 3.15

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one pretzel be represented as x

Let the cost of one granola bar be represented as y

Now , the equation will be

4 bags of pretzels and 2 boxes of granola bars for $13.50

Substituting the values in the equation , we get

4x + 2y = 13.50   be equation (1)

And , 1 bag of pretzels and 5 boxes of granola bars for $17.55

Substituting the values in the equation , we get

x + 5y = 17.55   be equation (2)

Multiply equation (2) by 4 , we get

4x + 20y = 70.2   be equation (3)

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

18y = 56.70

Divide by 18 on both sides of the equation , we get

y = $ 3.15

So , the cost of one granola bar is $ 3.15

Substituting the value of y in equation (1) , we get

4x + 2 ( 3.15 ) = 13.50

4x + 6.30 = 13.50

Subtracting 6.30 on both sides of the equation , we get

4x = 7.20

Divide by 4 on both sides of the equation , we get

x = $ 1.80

So , the cost of one pretzel is $ 1.80

Hence , the equations are solved

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$30 is the price for 12 tickets and A further ticket costs $2.50.Simply expressed, a single unit value is extracted from a specified multiple .

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.  The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and opposite are comparable. (Linear Algebra, Academic Analysis, Mathematics of Matrix or Operators)

given

0 - 00

4 - $ 16

$30 is the price for 12 tickets.

A further ticket costs $2.50 as it traverses the source,

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The complete question is :- The costs of movie tickets are shown in the table.

Type of Ticket Cost per Ticket

Child $6.50

Adult $8.50

Senior $5.50

Which equations represent the total cost, c, to buy 2 of each type of ticket? Choose all that apply.

c = $6.50 + $8.50 + $5.50

c = (2 × $6.50) + (2 × $8.50) + (2 × $5.50)

c = ($6.50 + $8.50 + $5.50) ÷ 3 × 2

c = 2 × $6.50 × $8.50 × $5.50

c = ($6.50 + $8.50 + $5.50) × 2

The area of triangle with the base 24 centimetres and height 15 centimetres is 180 cm².

The area of triangle is calculated by the formula -

Area of triangle = 1/2 × b × h, where b represents base of the triangle and h represents height of the triangle.

Keep the values in formula to find the area of triangle.

Area of triangle = 1/2 × 24 × 15

Performing division on Right Hand Side of the equation

Area of triangle = 12 × 15

Performing multiplication on Right Hand Side of the equation

Area of triangle = 180 cm²

Thus, the area of triangle is 180 cm².

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Answer:

Step-by-step explanation:

yeah hope its was helpful

Answer:

A,C,E

Step-by-step explanation:

group:children

4x6=24 good

12x2=24 but has to have more than 2 children in each group

8x3=24 good

4x9=36 36>24

2x12=24 good

To solve the 3 step equation, we have to solve the one equation in two variable. Then substituting the value in other equation and further solving according to the given rule.

In the substitution approach, we will examine the two equations and choose which variable is the most straightforward to solve for in order to transform one of the equations into x =, y =, or z =. The other equation's x, y, or z will then be appropriately replaced. The outcome will be an equation we can solve that has just one unknown. A variable whose coefficient is 1 or -1 should be isolated.

Use the steps below to solve systems using substitution:

(1) Choose an equation and determine the value of one of its variables.

(2) Substitute the variable you just solved in the other equation.

(3) Address the fresh equation.

(4) Enter the discovered value into any equation that calls for both variables, then get the value for the other one.

(5) Verify the answers to the two initial equations.

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The the probability of picking a 2 and then picking a factor of 12 is 1/6.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Sample space = {1, 2, 3, 4}

The probability of just picking up a 1 is 1/4.

Now, the remaining cards = 3

So, the probability of getting a factor of 12 (i.e., 3 and 4} is

= 2/3

Thus, the combined probability is

= 1/4 x 2/3

= 2/12

= 1/6

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The two different types of factor analysis are confirmatory and exploratory.

A technique for simulating observed variables and their covariance structure in terms of unseen variables is component analysis (i.e., factors). The two different types of factor analysis are confirmatory and exploratory.

A key phase in the scale building process is exploratory factor analysis (EFA), which is a technique to examine the underlying structure of a group of observed variables. Factor extraction is EFA's first stage. We will talk about how principal components analysis and common factor analysis approach variance partitioning differently.

Confirmatory factor analysis (CFA), a technique for confirming a factor structure that has already been developed, will be covered in the seminar's last section. Identification, model fit, and degrees of freedom will be discussed in relation to the three-item, two-item, eight-item, one-factor, and two-factor CFAs. For the EFA and CFA portions of the seminar, respectively, SPSS and R (lavaan) will be used.

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This prompt is about being able to represent time and distance on a graph called Distance-Time Graph. See the graph attached.

A Distance-Time Graph is a sort of graph that depicts the relationship between distance and time for a moving object.

It is a handy tool for studying an object's motion since it allows one to simply ascertain the object's speed and acceleration. It is also significant because it gives a visual depiction of an object or subject's motion, making the underlying physical ideas easier to grasp.

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Full Question:

Tanisha left her house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then she stopped and went into the store for 3 minutes. From there, she drove in the same direction at a speed of 3 blocks per minute until she got to the bank, which is 12 blocks away from the store. She stopped at the bank for 7 minutes. Then she drove home at a speed of 5 blocks every 2 minutes. Make a graph of showing the number of blocks away from home that Tanisha is xx minutes after she leaves her house, until she gets back home.

Make a graph of showing the number of blocks away from home that Tanisha is x minutes after she leaves her house, until she gets back home.

Answer: 4. No, not Similar

Step-by-step explanation:

<QSR = 62

because of vertical angles

we have 3 different angles and no sides

Answer: 8 teas were caffeinated

Step-by-step explanation:

To solve is to turn 25% into a decimal:

This is 25/100 turned into 0.25

*Multiply this by 32

This gives the number 8

*To do this, multiply without the decimal: 25 x 32 = 800

Then place the decimal back 2 places to the left of the last number:

8.00

Answer:

4

Step-by-step explanation:

(8x-2)+15x+90=180

Combine like terms

23x+88=180

-88 -88

23x=92

÷23 ÷23

X=4

The center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.

The total angle covered by the three cameras is 180°. The center camera has a field of 60° and the other two cameras, which are angled 45° away from the center camera, each has a field of 60°.

Therefore, together, the center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.

When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "°" stands for the angle. The Latin word "Angulus" is where the word "angle" originated.

Typically, an angle is measured with a protractor and expressed in degrees. Angles of 30°, 45°, 60°, 90°, and 180° are shown here. The many types of angles are determined by the angles' degrees values.

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The additive inverse of 7 11 is -7 11, which is the same number but with the opposite (or negative) sign. This means that when added together the two numbers will total zero.

Additive inverse of 7 11 = -7 + 11 = -7 11

The additive inverse of a number is the same number with the opposite sign, which can be helpful when solving equations. For example, if we have the number 7 11, the additive inverse would be -7 11. To find the inverse, we simply switch the sign from positive to negative (or vice versa). This means that when the two numbers are added together, the total sum will be zero. For example, 7 11 + (-7 11) = 0. The inverse of a number can also be helpful when we are looking for an unknown variable in an equation. For example, if we have the equation 3x + 7 11 = 4, we can find the value of x by subtracting 7 11 from both sides:

3x + 7 11 = 4 --> 3x

= -7 11 + 4 --> 3x

= -3 11 --> x = -1 11.

This means that x = -1 11.

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No, segment PQ is not a perpendicular bisector of segment RS. A perpendicular bisector is a line that passes through the midpoint of a segment and is perpendicular to it.

To determine if a line is a perpendicular bisector, we can use the equation (x1 + x2)/2 = xmid and (y1 + y2)/2 = ymid to find the midpoint of the segment and then use the equation y = mx + b to find the equation of the line. If the slope of the line is the negative reciprocal of the slope of the segment, then the line is a perpendicular bisector. In this example, if the coordinates of the endpoints of segment RS are (x1,y1) and (x2,y2), then the midpoint of the segment is (xmid, ymid) where xmid = (x1 + x2)/2 and ymid = (y1 + y2)/2. The equation of the line PQ can be written as y = mx + b. To determine if PQ is a perpendicular bisector, we must calculate the slope of the segment RS and the slope of the line PQ and then compare the two slopes. If the slope of the line PQ is the negative reciprocal of the slope of the segment RS, then PQ is a perpendicular bisector. Otherwise, PQ is not a perpendicular bisector.

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Using similar triangle theorem, the similarity statement will be "ΔGJL ≈ Δ HLK".

Similar triangles are two or more triangles that have the same shape but may be different sizes. They have the same angles and sides that are proportional to each other.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. This proves that the ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.

In this problem, we can see that both triangles are similar and have the same angle.

The correct similarity statement will be "ΔGJL ≈ Δ HLK"

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The value of x that makes △PQR ∼ △TUV is 27.

What is the similarity of triangles?

The similarity of triangles refers to the relationship between two or more triangles in which the corresponding angles are congruent (equal in measure) and the corresponding side lengths are in proportion.

Two triangles are similar if and only if the corresponding angles are congruent and the corresponding side lengths are in proportion.

If △PQR ∼ △TUV, then we can write:

PQ/UV = QR/UT = RP/VT = k (the proportionality constant)

If we know the value of two of the sides in one triangle and the corresponding two sides in the other, we can find the value of k.

we know that,

PQ = 27, TU = 18, QR = 36, and UV = x.

We can find the value of k by using the proportionality constant:

k = PQ/UV = 27/x

Then we can use k to find the value of RP:

RP/VT  = k, so RP = k * VT

We can find the value of VT by using the similar triangles:

QR/UV = RP/VT,

QR/UV = k,       ............(RP/VT  = k)

so,

(36/18) = (27/x) * VT

VT = (2/1) * (x/27)

Finally, we can find the value of x by solving this equation:

1/x = (2/1) * (1/(27*VT))

1/x = 2/(27*VT)

1/x = (2/1) * (1/(27*((2/1) * (x/27))))

1/x = (2/1) * (1/(27*(2/1) * (x/27)

1/x = (2) * (1/(27*2) * (x/27)

1/x² = 1/729

x = 27

Hence, the value of x that makes △PQR ∼ △TUV is 27.

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Proportionality can be used to find the length of side DE in the triangle by multiplying both sides by EB and dividing both sides by FC. This yields the equation DE = (FC * DF) / EB. Simplifying this equation yields DE = 31.72.

EF is parallel to BC and DF, EB, FC are given.

We can use the theorem that states:

Parallel lines have corresponding angles congruent and corresponding sides proportional.

We may use proportionality to get the length of the triangle's side DE. When two ratios are equal, this is referred to as proportionality. In this scenario, we will use the ratios of side DE to side FC and side EB to side DF. Given that side DE is proportional to side FC and side EB is proportionate to side DF, we can construct an equation stating that the ratio of side DE to side FC equals the ratio of side EB to side DF. This equation is written as DE/FC = DF/EB.

We can then solve this equation for side DE by multiplying both sides by EB and dividing both sides by FC.

This yields the equation DE = (FC * DF) / EB.

We can then plug in the given values for FC, DF, and EB to find the length of side DE.

When we do this, we get that DE = (15.4 * 20.6) / 19.3.

Simplifying this equation yields DE = 31.72.

Rounding to the nearest tenth, DE = 31.7. This is the length of side DE in the triangle.

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Therefore , the solution of the given problem of test statistics comes out to be in light of this, Z = 1.19 is the answer to the test statistic puzzle.

A test statistic in a research study is the figure that is applied to decide whether to confirm or refute hypothesis. This statistic compares the results of a study or sample to what the null hypothesis would predict.

A conjecture is a proposal that makes sense in light of the available information but has neither been confirmed nor refuted. A assertion on which hypotheses will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).

Here,

given:

=> 60= μ

=> 15.9 = σ

=> n=40

=>x' = 63

utilized formula is

=> Z = (x' - μ) / σ/(√n)

=> Z = (63 -60) / 15.9 / √40

=> Z = 3 / 15.9/√40

=> Z = 3 / 2.5140

=> Z = 1.19

Therefore , the solution of the given problem of test statistics comes out to be in light of this, Z = 1.19 is the answer to the test statistic puzzle.

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The amount of the apple pie that was left will be 3/4.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

From the information, Bert found 2 1/2 of an apple pie in the refrigerator. He shared 1 3/4 of the pie with his friends.

The amount of the apple pie that was left will be:

= 2 1/2 - 1 3/4

= 3/4

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Complete question

Bert found 2 1/2 of an apple pie in the refrigerator. He shared 1 3/4 of the pie with his friends. How much of the apple pie was left?

The resulting 3D shape would be a cylinder.

A cylinder is a geometrical shape which is three dimensional figure. It has two circular bases which are parallel and they are connected with a curves surface.

We have to find the resulting 3D shape when you repeated  the paper scaling with a piece of paper that was circular.

Suppose that we are scaling with a circular object like coin.

We place coins repeatedly on a surface where one coin is placed on the top of the last placed coin and then continue the process.

If you place coins on top of each other, it will result in a cylinder.

Hence the scaling of circular piece of paper repeatedly results in a cylinder.

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Answer:

d. parallel

I wish you luck in your assignments.

Answer: 14

Step-by-step explanation: Because if altogether they have 22 and Kevin already has 8 then you just add 14 more

The required function here is   C(x) =2.2x

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: One bag weighs 2.4 pounds and costs $5.28. Another bag weighs 2.7 pounds and costs $5.94.

One bag weighs 2.4 pounds and costs $5.28.

and therefore 1 pound weighing bag will cost = 5.28/2.4

                                                                             =$2.2

Thus we can construct an equation if there are x pounds then the cost function C(x) =2.2x

Hence, the required function is  C(x) =2.2x

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Answer:

6g+6h

Step-by-step explanation:

This is one way to re-write using the distributive property

Answer:

6g+6h

Step-by-step explanation:

The distributive property tells us how to solve expressions in the form of a(b + c). So, one simple way of rewriting the equation would just be 6g + 6h.

Best Market sells strawberries at a cheaper unit price.

The definition of a unit of measurement is a particular magnitude of a quantity that has been established and accepted by law or convention and is used as a standard for measuring other quantities of the same kind. Any other quantity of that type can be expressed as a multiple of the unit of measurement.

For instance, a length is a physical quantity. The metre is a unit of length that corresponds to a particular, predetermined length (symbol m). For instance, "10 metres" (or 10 m) is 10 times the fixed, predetermined length known as "metre."

In best Market, the price y for x pounds of strawberries is given by

y = 2.90x

Lets find the slope of Fine Foods strawberries

y - y₁ = m(x - x₁)

From the graph take two points, lets say (3, 6) and  (5, 10)

Put the points in the formula

10 - 6 = m(5 - 3)

4 = 2m

m = 4/2 = 2

The slope is 2

Now, lets convert it to slope intercept form

y - 10 = 2(x - 5)

y = 2x - 10 + 10

y = 2x - 10 + 10

y = 2x

For a certain same price Fine Foods provides 2x pounds of strawberries while Best Market provides 2.90x pounds of strawberries.

Thus, Best Market sells strawberries at a cheaper unit price.

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