Find the radius r………………………..

The resulting set of isometries, together with the operation of composition, forms a group.

In the context of the paragraph, "a group under composition" refers to a group that is formed by combining isometries (permutations that preserve distances) of a geometric configuration through the operation of composition.

In other words, if you have a set of isometries of a geometric configuration (such as translations, rotations about a point, and symmetries about a straight line), you can combine them through composition (applying one after the other) to obtain new isometries. The resulting set of isometries, together with the operation of composition, forms a group, which is called the group of isometries of the configuration.

This group has certain properties, such as closure (meaning that the result of composing two isometries is also an isometry), associativity (meaning that the order of composition doesn't matter), identity (meaning that there is an isometry that leaves all points fixed), and inverses (meaning that for every isometry, there is another isometry that undoes its effect). These properties make the group a useful tool for studying the symmetries and transformations of geometric configurations in fields such as crystallography and quantum mechanics.

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Based on this information, the angle pairs can be proven congruent is option D. ∠ABC and ∠EBD.

Congruent angles are angles that have the same measure or degree. In other words, two angles are congruent if they have the same amount of rotation and are of the same size and shape, regardless of their position or orientation.

Congruent angles are denoted by the symbol ≅, which is read as "congruent to". For example, if angle A and angle B both measure 45 degrees, we can say that angle A ≅ angle B, or that angle A is congruent to angle B.

Therefore, angle ABC and angle EBD shares same measurement or same degrees. Angle ABC is congruent to angle EBD.

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The correct solution to the expression 3 + 5^2 is C. 28.

Mathematically, an expression is a combination of variables with numbers, values, or constants.

Mathematical or algebraic expressions use the mathematical operands like addition (+), subtraction (-), division (÷), multiplication (×), exponents (^), etc.

An algebraic expression does not go with the equal symbol (=), unlike an equation.

3 + 5^2

= 3 + 5 x 5

= 3 + 25

= 28

Thus, an evaluation of the algebraic expression 3 + 5^2 gives the solution as Option C.

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Having a contract with provider B and not having cell phone are independent events.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

If two events are independent, the multiplication of the probabilities of each event is equals to the probability of both events happening.

The probabilities for this problem are given from the table as follows:

The multiplication of the probabilities of each event is:

0.5 x 0.14 = 0.07 -> independent events = Provider B and no cell phone: 0.07.

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Answer:

length = 0.89π yd

area = 14.22π yd^2

Step-by-step explanation:

Given r = 4, θ = 40

Length of an arc = 2πr(θ/360º)

l = 2π(4)(40/360) = π(320/360) = π(8/9) = 0.89π

Given r = 4, θ = 360 - 40 = 320

Area of a sector of circle = πr^2(θ/360º)

A = π(4^2)(320/360) = π(16)(8/9) = 14.22π

Answer:

approximately 1.5 times but round up to 2  

Answer

if you were to roll a dice 9 times you would have the chance to roll 6, 1.5 times.

1/6 and 0.5/3

Step-by-step explanation:

for every number on a dice there is a chance that you'll get that number 1.5 times

Therefore , the solution of the given problem of  dot plot comes out to be on the dot plot, 19 vehicles were sold that were not white.

The most typical way to display data in a graph is to demonstrate how two additional factors relate to one another. Digital and hand-drawn sketches are both acceptable. From the beginning position, move two or more pieces to the correct and three pieces up. The reference system must display the numerals for positions 2, 3, and 4. In your points, be very clear.

Here,

The following numbers are shown as follows based on the dot plot:

Number of scarlet vehicles: 5

=>  8 black vehicles total.

=>  6 white vehicles total.

=>  One silver vehicle is equal to four grey cars.

=>  Blue vehicle count equals one.

The following vehicles are not white vehicles based on the aforementioned criteria.

Thus, we have the depiction shown below.

=> Number of scarlet vehicles: 5

=>  8 black vehicles total.

=>  number of silver vehicles Equals 1

=>  4 grey vehicles totaled

=>  Blue vehicle count equals one.

These wavelengths combine to give us the following

=>  Total = 5 + 8 + 1 + 4 + 1

Analyze the amount

=> Overall = 19

Therefore, there are 19 vehicles.

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Answer: Its 190.  The problem states each dot represents 10 cars.  19 out of 25 dots weren't white.  19*10 is 190.

Step-by-step explanation:

Answer:

a) 1

b) 4

c) 14

d) 1

e) 12

f) 15

h) 20

i) 25

j) 40

Step-by-step explanation:

Some mistakes have been made.

Correct answers so far:

a, b, c, d, e, f are correct

h, maybe

Corrections:

g)

13 - ( + 9) can be rewritten as 13 - 9, which is 4

h) I assume the 9 is supposed to be a [tex]\sqrt{ 9}[/tex] ? If so, then the answer is correct

i) 18 - -7 can be rewritten as 18 + 7 = 25. The two negatives turn into a positive.

j)26 - -14 = 40. The two negatives turn into a positive.

Therefore, the simplified expression is 6x² + 11x - 4.

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, −, ×, ÷, ^) that represents a quantity or a mathematical relationship between quantities. Expressions can include variables, which are letters that represent unknown or varying values. Expressions can be simple or complex, and they can be used to represent mathematical formulas, equations, inequalities, and functions. Expressions can be evaluated by replacing the variables with specific values and performing the arithmetic operations according to the rules of algebra. Expressions can also be simplified by combining like terms, distributing multiplication, and factoring. Simplifying expressions can help us to better understand their structure and relationships, and it can make them easier to work with in calculations and problem-solving.

Here,

To perform the operation (8x² + 3x - 4) + (-2x² + 8x), we need to combine like terms, i.e., terms that have the same variable and exponent.

First, let's combine the x² terms:

8x² - 2x² = 6x²

Next, let's combine the x terms:

3x + 8x = 11x

Finally, let's combine the constants:

-4 + 0 = -4

Putting it all together, we have:

(8x² + 3x - 4) + (-2x² + 8x) = 6x² + 11x - 4

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Answer:

Congruent arcs determine congruent central angles. This is one of the properties of circles and is true for any two arcs of a circle that have the same measure.

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be N69,750 was given as the water rate for 7500 litres of water.

One may use this commonly utilized ease, preexisting variables, or any important elements from the initial Diocesan customizable query to achieve the goal. If so, there will be another chance to engage with the object. If not, every important component that influences the manner in which evidence of an algorithm functions will be lost.

Here,

The price for the first 500 gallons is N5 per litre, so

=> 500 * N5 = N2,500.

The price for the following 500 gallons is N8.00 per litre, or

=> 500 * N8.00 = N4,000.

The expense for this tier is

=> 3000 * N10.00 = N30,000 because the following 3000 litres (from 1501 to 4500 litres) are charged at N10.00 per litre.

The expense for this tier is

=> 3000 * N10.00 = N30,000 because the final 3000 litres (from 4501 to 7500 litres) are also charged at N10.00 per litre.

As a result, the full price for 7500 liters of water is:

The sum of N2,500, N3,250, N4,00, N30,000, and N30,000 is N69,750.

Therefore, N69,750 was given as the water rate for 7500 litres of water.

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Answer: y=-9x+6

Step-by-step explanation: The common form of a line is the Slope-Intercept form which is y=Mx+B. M represents the slope of the line, B represents the y-intercept, and x and y represent a point on the xy plane such as (1,2). The y-intercept is the point at which x = 0. The slope of a line is given by the equation (y2-y1)/(x2-x1) where (y1,x1) and (y2,x2) are points on a coordinate plane.

In this problem, we are already given M or the slope which is -9. We are also given the y-intercept but it's not as clear. f(x)=y represents a general function where you input an x-coordinate x into f(x) and the function produces a y-coordinate y. If we had a function f(x)=2x+1 and we input 3 as x we replace all the x's with 3 which gives us f(x)=2(3)+1=7. f(3)=7 which can be written as (3,7) being a point on the function. Lines in the coordinate plane represent linear functions because they have a constant slope due to no exponents.

Here, we are told f(0)=6 which can be rewritten as (0,6) being a point on the linear function. I said earlier that the y-intercept is when x=0 and this point has x=0. y=6 when x=0 so 6 is our y-intercept. Now we plug into the slope-intercept form y=mx+b giving us y=-9x+6 which is our answer.

Hope this helps! For practice, find the linear function that has the two points (1,2) and (3,6) on it.

Answer:

yes

Step-by-step explanation:

congruent means similar

The closest mark on the tape measure to 3.16228 inches in eighths of an inch is the mark for 25 eighths of an inch.

To find the closest mark on the tape measure to 3.16228 inches, we need to convert 3.16228 inches to sixteenths of an inch, which is the unit used on the tape measure.

We can start by multiplying 3.16228 by 16 to convert it to sixteenths of an inch:

3.16228 * 16 = 50.59648

Next, we can round 50.59648 to the nearest whole number, which is 51. This means that the closest mark on the tape measure to 3.16228 inches is the mark for 51 sixteenths of an inch.

Note that we can also convert 3.16228 inches to eighths of an inch by multiplying by 8, which gives us:

3.16228 * 8 = 25.29824

Rounding 25.29824 to the nearest whole number gives us 25. This means that the closest mark on the tape measure to 3.16228 inches in eighths of an inch is the mark for 25 eighths of an inch.

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Answer: Another name would be Line RQ

Not sure if this is what you're looking for but hope it helps!

41 clients can be checked out in an hour on a lane with a checker and a bagger. Only 25 people can be checked out per hour at a checker-only line.

a. The Good'n'Fresh Grocery Store's total production and average labor productivity are 92 customers per hour and 23.5 customers per hour per worker, respectively.

b. Two lanes with a checker and a bagger, and one lane with a checker only, are the ideal configurations for reassigning the workers to duties.

a. The total output of the Good’n’Fresh Grocery Store is:

Total output = 2 lanes x 46 customers/lane/hour + 2 lanes x 25 customers/lane/hour

             = 92 customers/hour

The average labor productivity is:

Average productivity = Total output / Total number of workers

                    = 92 customers/hour / 4 workers

                    = 23 customers/hour/worker

                    ≈ 23.0 customers/hour/worker                    

Therefore, the total output is 92 customers per hour, and the average labor productivity is 23.0 customers per hour, per worker.

b. With three lanes, the best way to reallocate the workers to tasks is to have:

Two lanes with a checker and a bagger, and one lane with a checker only.

This way, each lane will have one checker and one bagger, which is the most efficient way to operate a lane. The total output will be:

Total output = 3 lanes x 46 customers/lane/hour

            = 138 customers/hour

The average labour productivity is:

Average productivity = Total output / Total number of workers

                    = 138 customers/hour / 4 workers

                    = 34.5 customers/hour/worker

                    ≈ 34.5 customers/hour/worker                    

Therefore, the total output is 138 customers per hour, and the average labour productivity is 34.5 customers per hour, per worker.

c. With four lanes, the best way to reallocate the workers to tasks is to have:

Two lanes with a checker and a bagger, and two lanes with a checker only.

This way, each lane will have either one checker and one bagger or one checker only, which is the most efficient way to operate a lane. The total output will be:

Total output = 4 lanes x 46 customers/lane/hour

            = 184 customers/hour

The average labour productivity is:

Average productivity = Total output / Total number of workers

                    = 184 customers/hour / 4 workers

                    = 46 customers/hour/worker

                    ≈ 46.0 customers/hour/worker                    

Therefore, the total output is 184 customers per hour, and the average labour productivity is 46.0 customers per hour, per worker.

d. With five lanes, the best way to reallocate the workers to tasks is to have:

Two lanes with a checker and a bagger, and three lanes with a checker only.

This way, each lane will have either one checker and one bagger or one checker only, which is the most efficient way to operate a lane. The total output will be:

Total output = 5 lanes x 46 customers/lane/hour

            = 230 customers/hour

The average labour productivity is:

Average productivity = Total output / Total number of workers

                    = 230 customers/hour / 4 workers

                    = 57.5 customers/hour/worker

                    ≈ 57.5 customers/hour/worker                    

Therefore, the total output is 230 customers per hour, and the average labour productivity is 57.5 customers per hour, per worker.

e. Yes, we observe diminishing returns to capital in this example because adding more lanes does not increase output proportionally. Adding a third lane increases output by 46 customers/hour, adding a fourth lane increases output by 46 customers/hour, and adding a fifth lane increases output by 46 customers/hour. Therefore, the marginal output of adding each additional lane is decreasing. The correct multiple-choice answer is:

Certainly, adding a fifth lane won't boost productivity.

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Answer:

The answer is 78.5° .................

Answer:

78.5°

Step-by-step explanation:

For <A, AC is the adjacent leg.

AB is the hypotenuse.

The trig function that relates the adjacent leg to the hypotenuse is the cosine.

cos A = adj/hyp

cos A = 3/15

cos A = 1/5

A = cos^-1 0.2

A = 78.5°

Answer: The area of the skating rink can be found by multiplying its length and width:

Area = length × width

In this case, the length is 35 m and the width is 12 m. Therefore, we have:

Area = 35 m × 12 m

Area = 420 m^2

Using π ≈ 3.14 to round to the nearest tenth, we get:

Area ≈ 420.0 m^2

Therefore, the area of the skating rink is approximately 420.0 square meters.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Without fertilizer with weights less than 50 grams:

Let X be the weight of radishes produced without fertilizer. Then, X ~ N(40, 10^2).

We need to find P(X < 50).

Using the standard normal distribution, we have:

Z = (X - 40)/10

P(X < 50) = P(Z < (50-40)/10) = P(Z < 1) = 0.8413 (using a standard normal table or calculator)

Therefore, the proportion of radishes grown without fertilizer with weights less than 50 grams is 0.8413.

b) Without fertilizer with weights between 20 and 60 g:

We need to find P(20 < X < 60).

Using the standard normal distribution, we have:

Z1 = (20 - 40)/10 = -2

Z2 = (60 - 40)/10 = 2

P(20 < X < 60) = P(-2 < Z < 2) = 0.9544 (using a standard normal table or calculator)

Therefore, the proportion of radishes grown without fertilizer with weights between 20 and 60 grams is 0.9544.

c) Without fertilizer with weights greater than 60 g:

We need to find P(X > 60).

Using the standard normal distribution, we have:

Z = (60 - 40)/10 = 2

P(X > 60) = P(Z > 2) = 0.0228 (using a standard normal table or calculator)

Therefore, the proportion of radishes grown without fertilizer with weights greater than 60 grams is 0.0228.

d) With fertilizer with weights less than 60 grams:

Let Y be the weight of radishes produced with fertilizer. Then, Y ~ N(140, 40^2).

We need to find P(Y < 60).

Using the standard normal distribution, we have:

Z = (60 - 140)/40 = -2

P(Y < 60) = P(Z < -2) = 0.0228 (using a standard normal table or calculator)

Therefore, the proportion of radishes grown with fertilizer with weights less than 60 grams is 0.0228.

e) With fertilizer with weights between 20 and 60 g:

We need to find P(20 < Y < 60).

Using the standard normal distribution, we have:

Z1 = (20 - 140)/40 = -3

Z2 = (60 - 140)/40 = -2

P(20 < Y < 60) = P(-3 < Z < -2) = 0.0668 (using a standard normal table or calculator)

Therefore, the proportion of radishes grown with fertilizer with weights between 20 and 60 grams is 0.0668.

f) With fertilizer with weights greater than 60 g:

We need to find P(Y > 60).

Using the standard normal distribution, we have:

Z = (60 - 140)/40 = -2

P(Y > 60) = P(Z > -2) = 0.9772 (using a standard normal table or calculator)

Therefore, the proportion of radishes grown with fertilizer with weights greater than 60 grams is 0.9772.

Answer:

a

Step-by-step explanation:

bece u sr gģ v vyvy bleh gm have g GMV Espanola unmet yucky nvm i gifted go by Grau Cinco

The net present value of the project is $0.15 million.

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

hee, we have,

The first step is to determine the cash flow of the project.

Cash flow = (sales - cost - depreciation) × (1 - tax) + depreciation

Depreciation = (cost of the asset ) / useful life

Depreciation = $2.18 million / 3

Depreciation = 0.727 million

Cash flow = (1.645 -  0.61 - 0.727) x (1 - 0.21) + 0.727 = $0.97 million

Net present value = -2.18 million + 0.97 / 1.12 +  0.97 / 1.12² +  0.97 / 1.12³

= $0.15 million

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A polynomial equation for the area of one side of the zinc washer is given by A = pi*(r+1)² - pi*r².

Polynomial is a mathematical expression containing one or more terms, each of which is composed of a constant coefficient and one or more variables raised to a power. It can be used to represent a variety of functions, such as linear, quadratic, and cubic functions.

This equation is derived from the area formula for a circle, which states that the area of a circle is equal to pi multiplied by the square of the radius. In this case, the inner radius of the zinc washer is r and the outer radius is r + 1, so the area of one side of the zinc washer is equal to the area of a circle with a radius of r + 1 minus the area of a circle with a radius of r. This can be expressed mathematically as pi*(r+1)² - pi*r², which is a polynomial equation for the area of one side of the zinc washer.

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Answer:

∠ Y = 124°

Step-by-step explanation:

given the triangles are congruent , then corresponding angles are congruent, that is

∠ Y = ∠ N = 124°

Answer:

Step-by-step explanation:

To find the slope of the line represented by the equation 5x-4y=3(x+3), we can rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

5x - 4y = 3(x + 3)

5x - 4y = 3x + 9

5x - 3x = 4y + 9

2x = 4y + 9

y = (2/4)x - 9/4

So, the slope of the line is 2/4, which can be simplified to 1/2.

To find the y-intercept, we can set x = 0 in the equation:

y = (1/2)(0) - 9/4

y = -9/4

Therefore, the y-intercept is -9/4.

To find the x-intercept, we can set y = 0 in the equation:

0 = (1/2)x - 9/4

9/4 = (1/2)x

x = (9/4) / (1/2)

x = 9/2

Therefore, the x-intercept is 9/2.

Answer:

Slope: -1/2 Y-Intercept: -9/4

Step-by-step explanation:

5x - 4y = 3x + 9

Subtract 3x from both sides

2x - 4y = 9

Divide both sides by -4

y = (-1/2)x + (-9/4)

the interest for 1 year:

[tex]3.5\% \cdot 4000 = 140[/tex]

the interest for 6 months:

[tex]\dfrac{140}{2} = 70[/tex]

the interest for 1 year 6 months:

[tex]140+70 = \bf \$ 210[/tex]

Answer:(0,3) (2,2)

Step-by-step explanation:

Answer:

24% of $400,000 = 0.24 x $400,000 = $96,000

The amount he financed is:

$400,000 - $96,000 = $304,000

To calculate the total amount Roberto will pay for the house, we need to add up the principal (the amount he borrowed), the interest, and any fees or charges. We can use the formula for the monthly payment of a mortgage to find the total amount:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]

where M is the monthly payment, P is the principal, i is the monthly interest rate (6.2% divided by 12), and n is the total number of payments (30 years times 12 months per year).

Plugging in the values, we get:

$1861.91 = $304,000 [ 0.00516667(1 + 0.00516667)^360 ] / [ (1 + 0.00516667)^360 - 1]

Solving for P, we get:

P = $304,000

So the total amount Roberto will pay for the house is:

$96,000 (down payment) + $1861.91 x 360 (monthly payments for 30 years) = $96,000 + $670,287.60 = $766,287.60

Therefore, Roberto will pay a total of $766,287.60 for the $400,000 house.