write the recurring decimal 51.674 as a recurring decimal using dot nation

AnB and AUB have been labelled in the attached image.

Venn diagrams are the diagrams used to visually describe sets, relationships between sets, and operations carried out on them. John Venn (1834–1883) invented the Venn diagram, which makes use of circles (overlapping, intersecting, and non–intersecting) to show the relationship between sets. A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it.

A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example. The Venn diagram can demonstrate the relationship between the sets of whole numbers, integers, and natural numbers.

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Therefore , the solution of the given problem of graph comes out to be the graph is a symmetric wave that oscillates between 5 and 5.

Mathematicians use graphs to logically chart or illustrate claims rather than values in an interesting visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear railway assembly composed of nodes and lines. The nodes, also known as the borders, should be joined together with glue. The node numbers in this network included 1, 2, 3, and 5, while the edge numbers included 1, 2, 3, and 4, along with (2.5), (3.5), (4.5), but also (4.5). (4.5).

Here,

Plotting a few important spots will help us later when we sketch the graph of f(t) = 5 cos(t).

Since the function has a phase of 2, we can concentrate on the range from 3/2 to 3/2. We possess

=> f(−3/2) = 5 cos(−3/2) ≈ 4.515

=> f(−π) = 5 cos(−π) = −5

=> f(−1/2) = 5 cos(−1/2) ≈ 4.045

=> f(0) = 5 cos(0) = 5

=> f(1/2) = 5 cos(1/2) ≈ 4.045

=> f(π) = 5 cos(π) = −5

=> f(3/2) = 5 cos(3/2) ≈ 4.515

Using these coordinates, we can create the following f(t) graph:

With maximum positions at t = /2 and t = /2, and minimum points at t = 3/2, t = 1/2, t = 1/2, and t = 3/2,

the graph is a symmetric wave that oscillates between 5 and 5.

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The value of the x-coordinate of point A is  -0.342

If we measure the angle from the x-axis, we will get:

angle = 90° + 20° = 110°

Now remember that the rectangular coordinates are for a point with radius R and defined by an angle a are given by the expressions below:

x = R*cos(a)

y =R*sin(a)

Where in this case we can see that we have an unit circel, thus, R = 1, and a is the angle, in this case 110° as we saw above.

Then the x-coordinate of point A is:

x = 1*cos(110°) = -0.342

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The value of x in the given arrangement of equilateral triangle and isosceles triangle is 88°

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Given that,

A arrangement which contains,

one equilateral triangle ABE &

one isosceles triangle CDE

It is known that sum of all the angles in each direction is 180°.

ΔAEB is equilateral triangle,

so angle will be of 60°

∠AEB = 60°

And in isosceles triangle,

∠EDC = ∠ECD

∠ADC = 90°

∠ADC = ∠ADE + ∠EDC

90°  =  62°  + ∠EDC

∠EDC  = 28°  = ∠ECD

It is known that sum of all the interior angles of the triangle is 180°.

∠EDC  + ∠ECD + ∠DEC   = 180°

28° + 28° + ∠DEC   = 180°

∠DEC   = 124°

Now sum of all the angles around point E is 360°

∠AED + ∠DEC + ∠BEC + ∠AEB  = 360°

x   +  124°  + x  + 60°  = 360°

2x  = 176°

x = 88°

Hence, the value of x is 88°

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The equation rewritten as a function of x is

[tex]y \ln \left(-2 x+x^2+2 y \right)=\ln (x)[/tex]

Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.

Historically, functions have been seen as an idealization of the way in which one variable relies on another variable. Wikipedia

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Step-by-step explanation:

To write the expression (-4-7i)+(-1-4i) in a+bi form, we need to simplify the expression by adding the real parts and the imaginary parts separately.

(-4-7i)+(-1-4i) = -4 - 1 - 7i - 4i = -5 - 11i

Therefore, (-4-7i)+(-1-4i) can be written in a+bi form as -5 - 11i.

Answer:

a= -24

b= 23

Step-by-step explanation:

(-4-7i)(-1-4i)

4+16i+7i-28

-24i+23i

The domain and range for the mapping diagram are given as follows:

The diagram represents a function, as each value of the input is mapped to a single value of the output.

The concepts for the domain and the range of the diagram are defined as follows:

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When you accrue interest, it means that A. monetary value is added to your account.

Accruing interest means computing, determining or adding the interest amount due on the principal (sometimes on the principal and accumulated interest) fora period.

When a person accrues interest, it does not mean that they get discounts off their monthly charges or have to pay extra.  It does not mean that people want to be involved in your account.

Thus, when a person accrues interest, it involves adding additional monetary value to the account.

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Answer:

To determine how many Pokémon cards Mary can buy, we need to divide the amount of money she has by the cost per card:

$4,032 ÷ $4 = 1,008

Mary can buy 1,008 Pokémon cards.

Answer:

Let's break down the cost and revenue for Jack's toy car sales:

The cost to Jack is the website fee of $30.

The revenue for Jack is the number of toy cars he sells (c) multiplied by the selling price of each toy car, which is $4 per toy car.

To make a profit of at least $50, Jack's revenue must be at least $80 ($30 website fee + $50 profit). Therefore, we can set up the following inequality:

4c - 30 ≥ 50

Solving for c, we get:

4c ≥ 80

c ≥ 20

So, Jack must sell at least 20 toy cars to make a profit of at least $50. The correct answer is option B: 34c ≥ 50.

Answer:

B

Step-by-step explanation:

34c < 50 = 136 (136 is greater than 50 wrong sign) x

B 34c > 50 = 136 (136 is greater than right sign)

C 4c-30 > 50 = -14 > 50 (wrong)

D 4c + 30 > 50 = 46 > 50 ( 46 is not greater than 50)

Answer:

The length of the garden would be 480 ft and the width would be 320 ft.

Step-by-step explanation:

Answer:

9,646

Step-by-step explanation:

1378 acorns x 7 years = 9,646 acorns

Answer:

A = 273 m^2

Step-by-step explanation:

We have two shapes:

One Triangle and One Rectangle

Area of Triangle: A = 1/2*B*H

Area of Rectangle: A = L*W

Area of Triangle:

A = 1/2 * 6 * 7

A = 3 * 7

A = 21 m^2

Area of Rectangle:

A = 18 * 14

A = 252 m^2

Now add Area of Triangle and Area of Rectangle to get the whole area of the shape.

A = 21 + 252 = 273 m^2

Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet².    A: 37.7 feet².

A circle is a clοsed, twο-dimensiοnal οbject that can be described as the cοllectiοn οf all pοints in a plane that are equally spaced frοm the circle's center. The diameter οf a circle is equal tο the distance traveling thrοugh its center, while the radius is the distance frοm the center tο any lοcatiοn οn the circle. A circle's area is the rοοm it enclοses, while its circumference is the distance it spans.

given

We must apply the fοllοwing algοrithm tο determine the sectοr's area:

Sectοr area is equal tο (angle at center/360°) * radius * 2

Radius is 4 feet, and the center angle is 270 degrees. By replacing these numbers, we οbtain:

Sectοr area equals (270/360) * * 42.

Sectοr area equals (0.75) * 3.14 * 16

Sectοr size: 37.7 square feet (rοunded tο the nearest tenth)

Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet².    A: 37.7 feet².

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Answer:

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Step-by-step explanation:

Hi,

We need to convert both measurements to the same unit (either km or meters) and then subtract:

Reminder:

1 km = 1000 m

=> 10 km = 10 * 1000 = 10000 m

=> 3 km 500 m = 3 * 1000 + 500 = 3500 m

Now we can subtract:

10000 m - 3500 m = 6500 m

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Good luck!

The value of ∠ GPY, given the angle measures on the figure, can be found to be 118 °

The angles ∠ GPY and ∠ KPR are congruent, which means that they are the same.

The angle ∠ GPY can therefore be found by equating both angles to themselves:

8 p + 94 = 5 p + 103

Collect like terms ;

8 p - 5 p = 103 - 94

3 p = 9

p = 9 / 3

p = 3

The value of ∠ GPY is therefore :

= 5 ( 3 ) + 103

= 15 + 103

= 118 °

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Mary's monthly payments will be approximately $117.50.

The total instalment price is the price of the furniture plus the interest charged. Since Mary made a down payment of 15%, the amount that is subject to interest is 85% of the total price. Therefore:

Total price = (100% / 85%) * $750 = $882.35

The interest charged is 6% of the total price over the 8-month payment period. Therefore:

Interest charged = 6% * $882.35 * (8 / 12) = $35.29

The total installment price is the sum of the total price and the interest charged:

Total installment price = $882.35 + $35.29 = $917.64

To find the monthly payments, we can use the formula for the present value of an annuity:

Payment = [tex]\mathrm{PV \times (r / (1 - (1 + r)^{(-n)}))}[/tex]

where PV is the present value (total installment price), r is the interest rate per month (6% / 12 = 0.005), and n is the number of payments (8).

Substituting the values:

Payment = $917.64 × (0.005 / [tex](1 - (1 + 0.005)^{(-8)}[/tex] ≈ $117.50

Therefore, Mary's monthly payments will be approximately $117.50.

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The x intercept is (2, 0) and the y intercept is (0, 8)

x-intercept and y-intercept are the two main intercepts. The line's x-intercept and y-intercept are located where the line crosses the x and y axes, respectively.

As per the given data:

The function is [tex]f(x) = -3^x + 9[/tex].

For the x intercept, f(x) = 0:

[tex]0 = -3^x + 9\\3^x = 9\\x = 2[/tex]

The x intercept is 2.

For the y intercept, x = 0:

[tex]y = -3^0 + 9\\y = -1 + 9\\y = 8[/tex]

The y intercept is 8.

Hence, The x intercept is (2, 0) and the y intercept is (0, 8)

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The probability that Oliver will receive no emails in between 9.00am and 11.30am is 2.599%.

Poisson Distribution is defined as a discrete distribution which measures the likelihood of happening an event in a certain period of time.

The formula for Poisson distribution is,

P(x) = (e^(-λ) λˣ) / x!

Given that,

Average rate of arrival of emails in an hour = 1.46 per hour

Between 9.00 am and 11.30 am, there are 2.5 hours.

Average rate of arrival of emails in 2.5 hours = 2.5 × 1.46

                                                                           = 3.65

So, λ = 3.65

x = 0  (since no emails.)

P(0) = (e^(-3.65) (3.65)⁰) / 0!

      = e^(-3.65)

      = 0.02599

      = 2.599%

Hence the probability is 2.599%.

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Answer:

I would say "not proportional" only because it's graphed on a dotted line.

If I were you, I would wait on a second opinion.

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years IS 0.528.

The binomial probability formula is used to calculate the probability of getting exactly k successes in n independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is denoted as p. The formula is:

Here we have  

39.6​% of consumers believe that cash will be obsolete in the next 20 years.

Let p be the probability that a consumer believes that cash will be obsolete

=> p = 39.6% or 0.396.

Then, the probability that a consumer does not believe that cash will be obsolete is q = 1 - p = 0.604.  

We need to find the probability that less than 3 of the selected consumers believe that cash will be obsolete.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we have:

[tex]P(X = k) = C(n,k) \times p^k\times q^{(n-k)[/tex]

=> P(X = 0) = C(6, 0) × (0.396)⁰ × (0.604)⁶ = 0.048

=> P(X = 1) = C(6, 1) × (0.396)¹ × (0.604)⁵ = 0.18

=> P(X = 1) = C(6, 2) × (0.396)² × (0.604)⁴ = 0.3

P(X < 3) = 0.048 + 0.18 + 0.3 = 0.528        

Therefore,

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years IS 0.528.

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The triangle will have a perimeter of 19 units.

Triangle perimeter: The circumference of any two-dimensional figure is referred to as its perimeter. By adding the lengths of the sides, we can determine the perimeter of any closed shape. You will first learn what the perimeter is in this article.

For a triangle, the perimeter is the sum of all the sides of the triangle. To calculate the perimeter add all the sides of the triangle as below,

Perimeter = 4 + 6 + 9

Perimeter = 19 units

Therefore, the perimeter of the triangle is 19 units.

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The complete question is given below.

The sides lengths 4, 6, and 9 can be used to form the size of a triangle. Find the perimeter of the triangle.

The calories burned per hour is 30 calories per hour

From the question, we have the following parameters that can be used in our computation:

Calories at 7 = 25 calories

Calories at 9 = 85 calories

Using the above as a guide, we have the following:

Rate = Difference in calories/Difference in time

Substitute the known values in the above equation, so, we have the following representation

Rate = (85 - 25)/(9 - 7)

Evaluate

Rate = 30

Hence, the rate is 30 calories per hour

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The longest pipe can fit in the prism is 11.7 ft, so, 12 ft long pipe does not fit.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the given figure,

By considering base of the prism, we get

c²=6²+6²

c²=72

c=6√2 ft

Now, d²=c²+8²

d²=72+64

d²=136

d=√136

d= 11.7 ft

Hence, the longest pipe can fit in the prism is 11.7 ft, so, 12 ft long pipe does not fit.

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The blank in the sentence can be filled by the word "date." The date appears on correspondence, such as invoices and statements, to indicate the day on which the document was issued or created.

Multiplying, dividing, adding, and subtracting are all mathematical operations. As an example, consider the following expression: Expression, mathematics, and a numeric value Numbers, parameters, and functions are the components of an expression in mathematics. Using opposing words and phrases is possible. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical action between them. For instance, the expression 4m + 5 is made up of the expressions 4m and 5, as well as the variable m from the previous equation, all of which are separated by the mathematical symbol +.

The blank in the sentence can be filled by the word "date." The date appears on correspondence, such as invoices and statements, to indicate the day on which the document was issued or created.

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Using the chain rule, the value for dz/dt is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

What is chain rule?

The chain rule is the formula used to determine the derivative of a composite function, such as cos 2x, log 2x, etc. Another name for it is the composite function rule. Only composite functions are subject to the chain rule.

To find dz/dt using the chain rule, we need to differentiate each term of z with respect to t, then multiply by the derivative of the inner function with respect to t.

First, we have -

x = 2t

Taking the derivative with respect to t, we get -

dx/dt = 2

Next, we have -

y = 4 - t²

Taking the derivative with respect to t, we get -

dy/dt = -2t

Using the chain rule, we have -

[tex]dz/dt = (x + y)e^y \times (\frac{dx}{dt} + \frac{dy}{dt}e^y)[/tex]

Substituting x and y into this equation, we get -

[tex]dz/dt = (2t + (4-t^2))e^{(4-t^2)} \times ((2 - 2t) e^{(4-t^2)})[/tex]

Simplifying this expression, we get -

[tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex]

Therefore, the value is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

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As a result, y = -x + 1/2 is the equatiοn οf the tangent line tο the curve x² + y² = (2x² + 2y² - x)² at the pοsitiοn (0,1/2).

An equatiοn in mathematics is a claim that twο mathematical expressiοns are equivalent. An equatiοn has an equal sign, typically has οne οr mοre factοrs, and can be sοlved fοr by applying algebraic οr numerical techniques. Equatiοns are used tο represent real-wοrld phenοmena, resοlve issues, and make predictiοns in many branches οf mathematics, science, and engineering.

given:

We must first use implicit differentiatiοn tο determine the derivative οf the curve in οrder tο determine the equatiοn οf the tangent line tο the curve at the pοsitiοn (0,1/2).

By taking the derivative οf the equatiοn's twο sides with regard tο x, we arrive at:

dy/dx = 2x + 2y

(2x² + 2y²- x) * (4x - 1) (4x - 1)

When we sοlve fοr dy/dx and simplify this equatiοn, we get:

[(1 - 4x)(2x + 2y)] Equals dy/dx / [4(2x² + 2y² - x) - 2y(1 - 4x)]

The slοpe οf the tangent line at the pοint (0,1/2) can nοw be calculated by plugging in the numbers x = 0 and y = 1/2:

dy/dx = [(1 - 4(0))

(2(0) + 2(1/2))] / [4(2(0)² + 2(1/2)² - 0) - 2(1/2)(1 - 4(0))] = -1

Therefοre, the tangent line's slοpe at the pοsitiοn (0,1/2) is negative οne. We can use the pοint-slοpe fοrm οf a line tο determine the equatiοn οf the tangent line:

where (x1,y1) is the tangency pοint and m is the inclinatiοn οf the tangent line. When we enter the numbers we have, we οbtain:

y - 1/2 = -1(x - 0) (x - 0)

When we simplify this sοlutiοn, we οbtain:

y = -x + 1/2

As a result, y = -x + 1/2 is the equatiοn οf the tangent line tο the curve x² + y2 = (2x² + 2y² - x)² at the pοsitiοn (0,1/2).

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14 ft³ is equal to 104,720 fluid ounces.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We have to convert 14 ft³ to fluid ounces

we need to use the conversion factor: 1 ft³ = 7,480 fluid ounces

Multiplying both sides by 14, we get:

14 ft³ = 14 x 7,480 fluid ounces

= 104,720 fluid ounces

Therefore, 14 ft³ is equal to 104,720 fluid ounces.

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Therefore , the solution of the given problem of unitary method comes out to be amount billed to the client.

To finish the job using the unitary technique, the equation from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.

Here,

$3,300 is debited from Accounts Payable - Client's Name.

Credit: $3,300 in revenue

This shows the revenue earned by the law company for the job done and records the increase in accounts receivable for the amount billed to the client.

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