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Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

Answer:

its C. (x + 4)² + y² = 5

Step-by-step explanation:

edge

J is equal to 24 ____________________________

The total electric flux is the answer is option (iii) ΣE_i ⋅ d a_i = ε₀q.

To determine the total electric flux at some infinitesimal area on the surface of a sphere with radius r containing a source charge, q, making use of the electric field that is generated by the source charge, we use the following formula:

∮E.dA = ε₀q

where, E = electric field, ε₀ = permittivity of free space, q = charge in Coulombs

The above formula states that the closed integral of the electric field vector over any closed surface S equals the charge enclosed by the surface, divided by the permittivity of free space. Therefore, the total electric flux at some infinitesimal area on the surface of the sphere is ε₀q.

Here are some additional explanations:

The electric field E, generated by the charge q, in a spherical surface is:

E = kQ/r²

where, k = 1/4πε₀, Q = total charge on the sphere, r = radius of sphere

Substituting this value of E into the electric flux formula yields: ΣE_i ⋅ d a_i = ε₀q

Therefore, the answer is option (iii) ΣE_i ⋅ d a_i = ε₀q.

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Answer:

2.5

Step-by-step explanation:

C will be the answer... its ur boi C bandzzzzzzz

Answer:

(-3,8)

Step-by-step explanation:

formula

(y1+y2/2 ,X1+X2/2)

=(-5-1/2 ,7+9/2)

=(-6/2 ,16/2)

=(-3,8)

Answer:

2y+x+9=0

Step-by-step explanation:

eqn is given by

\(m = \frac{y - y1}{x - x1} \)

given

\( - \frac{1}{2} \: as \: m\)

and

\({3 \: and \: - 6} \: as \: x \: and \: y \: respectively\)

subtitute values into the formula

\( - \frac{1}{2} = \frac{y - - 6}{x - 3} \)

cross multiply giving

\( - 1{x - 3}= 2{y + 6\)

\( - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0\)

When examining a graph, it is crucial to identify what type of data is being displayed on the x-axis.

Depending on the nature of the data, the graph can convey different types of information and insights. For example, if the x-axis represents time, the graph may depict trends or patterns over a specific period.

Alternatively, if the x-axis represents categorical data such as age groups or geographic locations, the graph may display comparisons or relationships between different groups.

Therefore, identifying the type of data on the x-axis is essential in interpreting and analyzing the information presented in the graph.

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The ratios, 1 : 4 and 2 :6 are not equivalent.

Ratio shows the relationship that exist between two or more numbers. Ratio is used to compare two or more numbers. It shows the number of times that one value is contained within other value(s).

In order to determine if the ratios are equivalent, express 2 : 6 in its simplest form. To do this, divide 2 and 6 by 2, a common  multiple of both numbers.

2 :6 in its simplest form is 1 : 3

Since, 1 : 3 is different from 1 : 4, the ratios are not equivalent.

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Answer to the second question.

9

Step-by-step explanation:

3⁴ simply means 3×3×3×3=81

3² 3×3=9

81/9=9

Answer:

-4/5

Step-by-step explanation:

y2-y1/x2-x1 is the formula for slope

Step-by-step explanation:

(72)4=n8

72×4=n8

288=n8

n=288÷8

n=36

The equation that represent Mila's total pay on a day on which she sells x dollars is P = 0.01x + 65

An equation is an expression that shows how numbers and variables are related to each other using mathematical operations.

A linear equation is in the form:

y = mx + b

Where m is the slope (rate), b is the y intercept

Let P represent Mila's total pay on a day on which she sells x dollars worth of computers.

From the table, using the point (5000, 115) and (7000, 135):

P - 115 = [(135 - 115)/(7000 - 5000)](x - 5000)

P = 0.01x + 65

The equation is P = 0.01x + 65

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Answer:

I dont see any question

Step-by-step explanation:

Answer:

where is the question????

Answer: EG = 80

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.

The diagonals of a parallelogram bisect each other, which means, using the figure as example:

EJ = JG

So, to determine EG, first find w:

\(4w+4=2w+22\)

\(2w=18\)

w = 9

Substituting:

\(EJ=4w+4\)

\(EJ=4(9)+4\)

EJ = 40

Since each segment has the same measure:

EG = 2EJ

EG = 2(40)

EG = 80

The measure of EG is 80 units

______________________________

(I've included the graphs below.)

So your answer is c, \(\bold{y+4=-\frac{3}{2}(x-2)}\).

______________________________

The expression in the format "5(blank space 1) + (blank space 3)(blank space 4) + 8(blank space 7)" represents a mathematical expression with three terms. To create the expression with the given conditions, we can use the following format:

5(blank space 1) + (blank space 3)(blank space 4) + 8(blank space 7)

Here are four options for each blank space:

Option 1:

Blank space 1: x

Blank space 3: 2

Blank space 4: y

Blank space 7: z

So the expression would be:

5x + 2y + 8z

Option 2:

Blank space 1: a

Blank space 3: 3

Blank space 4: b

Blank space 7: c

So the expression would be:

5a + 3b + 8c

Option 3:

Blank space 1: m

Blank space 3: 4

Blank space 4: n

Blank space 7: p

So the expression would be:

5m + 4n + 8p

Option 4:

Blank space 1: r

Blank space 3: 1

Blank space 4: s

Blank space 7: t

So the expression would be:

5r + s + 8t

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The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T

To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.

The ideal gas law states:

PV = nRT

Where:

P = pressure

V = volume

n = number of moles of gas

R = ideal gas constant

T = temperature

Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:

P1 = n1RT

P2 = n2RT

The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.

To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:

ΔU = n1RT - n2RT

To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.

Composition: 78% nitrogen (N2) and 21% oxygen (O2)

Volume: 1.2 liters

Pressure: 5.4×10^5 Pa

We can assume that the temperature is constant.

Let's calculate the moles of each gas:

For nitrogen (N2):

n1 = 78% * V / Vm

= 0.78 * 1.2 L / 22.4 L/mol

≈ 0.0415 mol (rounded to four decimal places)

For oxygen (O2):

n2 = 21% * V / Vm

= 0.21 * 1.2 L / 22.4 L/mol

≈ 0.0113 mol (rounded to four decimal places)

Now, we can calculate the difference in internal energy:

ΔU = n1RT - n2RT

= (0.0415 mol) * R * T - (0.0113 mol) * R * T

= (0.0415 - 0.0113) mol * R * T

= 0.0302 mol * R * T

Since the temperature (T) is the same for both scenarios, we can simplify the equation to:

ΔU = 0.0302 mol * R * T

The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).

Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:

ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T

Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.

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With the applicatiοn οf Distributive Prοperty οf Multiplicatiοn, the fοllοwing equatiοn 3 (x + 2) + 5 can be written as

3*x + 3*2 + 5

The distributive prοperty οf multiplicatiοn is a mathematical rule that states that the prοduct οf a number and a sum can be οbtained by adding the prοducts οf the number and each term in the sum. In οther wοrds, a(b+c) = ab + ac. This prοperty can be used tο simplify expressiοns by breaking them dοwn intο smaller parts.

It is an impοrtant cοncept in algebra and is οften used tο sοlve equatiοns and simplify expressiοns. The distributive prοperty can alsο be applied tο variables and expοnents, and is a fundamental principle in the study οf algebraic structures such as rings and fields.

With the applicatiοn οf Distributive Prοperty οf Multiplicatiοn, the fοllοwing equatiοn 3 (x + 2) + 5 can be written as

3*x + 3*2 + 5

further simplified will give 3x + 6 + 5 = 3x + 11

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We find that 28 child tickets were sold on Tuesday.

To determine the number of child tickets that were sold on Tuesday, let x be the number of child tickets that were sold. Then, the number of adult tickets sold was four times the number of child tickets sold. Thus, the number of adult tickets sold is 4x.

The cost of one child ticket is $6.50, and the cost of one adult ticket is $9.80. Therefore, the total sales can be represented by the equation:6.50x + 9.80(4x) = 1279.60

Simplifying this equation gives: 6.50x + 39.20x = 1279.60

Combining like terms, the equation can be further simplified to:

45.70x = 1279.60 Solving for x gives: x = 28

Therefore, 28 child tickets were sold on Tuesday

In conclusion, if we assume that the number of child tickets sold is x, then we can calculate the number of adult tickets sold to be 4x. By multiplying the number of child tickets sold by the price of one child ticket and the number of adult tickets sold by the price of one adult ticket and adding the two values together, we obtain the total sales equation. Using this equation, we solve for x by simplifying and combining like terms.

Therefore, we find that 28 child tickets were sold on Tuesday.

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The answer is

\(h = - 12\)

it will look like that,.

\( \frac{ - 12}{6} - 1 = - 3\)

Answer:

h= -12

Step-by-step explanation:

h/6+1= -3

h/6= -2

h= -12

In any Hilbert plane, given parallel lines l and m and points A and B on opposite sides of line m, it can be proven that A and B lie on the same side of line l.

Since l and m are parallel lines, they will never intersect. Thus, there are two cases to consider:

Case 1: A and B are on the same side of line m. In this case, A and B are also on the same side of line l, which contradicts our assumption.

Case 2: A and B are on different sides of line m. Since A and B are on opposite sides of line m, there must exist a point P on line m such that A and P are on opposite sides of m, and B and P are on opposite sides of m. However, since A and B are on opposite sides of line m, this implies that A and B are on the same side of line l, which again contradicts our assumption.

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The present value of the bond is $32.67. Bond valuation is a method used to determine the theoretical fair value of a specific bond.

The main goal of this valuation process is to determine the maximum amount an investor should pay for a bond. To calculate the present value of the bond, we use the following formula:

PV = FV/(1 + i)nwherePV = present value of the bondFV = future value of the bondn = number of years in the future when the bond will be paidi = discount rateWe can now calculate the present value of the bond as follows: PV = $34/(1 + 0.08034)6PV = $34/1.5931PV = $21.35

Therefore, the present value of the bond is $21.35. Hence, option 1 is incorrect. To determine the correct answer from the options given, we need to use the following formula: PV = FV/(1 + i)nPV = $34/(1 + 0.08034)6PV = $34/1.5931PV = $21.35 Since the bond promises to pay $34, the bond's present value is $21.35, which is less than the face value.

Thus, the bond is trading at a discount. To determine the current market value of the bond, we need to subtract the discount from the face value as follows: Market value of bond = FV - discountMarket value of bond = $34 - $21.35Market value of bond = $12.65

Therefore, the Present Value of the bond is $32.67. Hence, option 2 is correct.

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The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Answer:

the Answer to your question is 87.96

About 87.96

The equation is V=3.14r^2h

Plug the values in, and you're good to go.

Answer:

I need this same question

Answer:

Divide both sides by the numeric factor on the left side, then solve. X = -5

Step-by-step explanation:

The larger of the two consecutive even perfect squares is $15,536$.

Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.

To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is $268$, so we can write the following equation:

$15,536 - 268 = 15,268$

This equation tells us that the larger of the two squares is $15,536$.

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The larger of the two consecutive even perfect squares is 15,536.

Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.

To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is 268, so we can write the following equation:

So, 15,536 - 268 = 15,268

This equation tells us that the larger of the two squares is 15,536.

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Answer:

D: (0,-6)

Step-by-step explanation:

the y intercept in an equation is the "b" value in y=mx+b

Answer:

(0,-6)

Step-by-step explanation:

you can look at the last term in the equation which is -6

Or you can set x to 0

y=4(0)-6

y=-6

Hopes this helps please mark brainliest

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