quadrilateral c, explain the formula for the area of a convex hyperbolic polygon
a, explain the two types of parallel lines in hyperbolic geometry
b, explain what is interesting about the angle of a saccheri quadrilateral
c, explain the formula for the area of a convex hyperbolic polygon

Step-by-step explanation:

4×10×2=80

20×10×1=200

20×8×1=160

20×10×1=200

2×20×1=40

10×2×2=40

80+200+160+200+40+40=720

Answer;

They will be 0.5x miles away from each other

Explanation;

Since the dog runs twice the speed of the cat

Its speed will be 2 * x = 2x mph

Now we want to know how far they will be from each other after 30 minutes

Kindly note that 30 minutes is 1/2 hour

Mathematically;

distance = speed * time

Distance of cat = x * 1/2 = 0.5x miles

Distance of dog = 2x * 0.5 = x miles

The dog is x - 0.5x miles = 0.5x miles away from the cat

They will be 0.5x miles away from each other.

Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.

So here the speed of the dog should be 2x

Now we know that

\(Distance = speed \times time\\\\\)

Here distance of cat should be x of 30 minutes or half hour = 0.5x miles

And, Distance of dog should be 2x of 0.5 = x miles

So, the difference should be

= x - 0.5

= 0.5x miles

hence, They will be 0.5x miles away from each other.

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Answer:

(1/6)π(4^2) - (1/2)(2√3)(4)

= 8π/3 - 4√3 = about 1.4

The distance from Museum to Zoo is 0.74 units longer than the distance from Museum to park.

Assuming straight distance between the points :

The distance formula between two points is :

\( d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 } \)

Museum coordinate (-2, - 3)

Zoo coordinate (3, 3)

Park coordinate (-3, 4)

Distance from Museum to Zoo:

\(d = \sqrt {\left( {3 - ( - 2)} \right)^2 + \left( {3 - ( - 3) } \right)^2 }\)

\(d \: = \sqrt{25 + 36} = \sqrt{61} = 7.81\)

Distance from Museum to park :

\(d = \sqrt {\left( { - 3 - ( - 2)} \right)^2 + \left( {4 - ( - 3) } \right)^2 }\)

\(d \: = \sqrt{ 1 + 49} = \sqrt{50} = 7.07\)

\(7.81 - 7.07 = 0.74\)

This means that :

Distance from Museum to Zoo is 0.74 units more than the distance from Museum to park.

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Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

Answer:

i dont get the question sorry

Step-by-step explanation:

1) find total frequency

\(=172+190+128+172+58\\=720\)

2) divide each frequency by the total frequency

UK:

= 172 / 720

= 0.2388888889

Europe:

= 190 / 720

= 0.2638888889

USA:

= 128 / 720

= 0.1777777778

Africa:

= 172 / 720

= 0.2388888889

Other:

= 58 / 720

= 0.0805555556

3) multiply value by 360:

UK:

= 360 x 0.2388888889

= 86 degrees

Europe:

= 360 x 0.2638888889

= 95 degrees

USA:

= 360 x 0.1777777778

= 64 degrees

Africa:

= 360 x 0.2388888889

= 86 degrees

Other:

= 360 x 0.0805555556

= 29 degrees

Answer:

\((4,-20)\)

Step-by-step explanation:

Let \(P(x,y),\,Q(u,v)\) be two points then midpoint of \(PQ\) is given by \((\frac{x+u}{2},\frac{y+v}{2})\)

Put midpoint as \((6,-10)\) and \((u,v)=(8,0)\)

Therefore,

\((\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20\)

So, the other point is \((4,-20)\)

5

+

8

+

3

+

4

=

−

4

0

+

4

5x+8+3x+4=-40+4

5x+8+3x+4=−40+4

Solve

1

Add the numbers

5

+

8

+

3

+

4

=

−

4

0

+

4

5x+{\color{#c92786}{8}}+3x+{\color{#c92786}{4}}=-40+4

5x+8+3x+4=−40+4

5

+

1

2

+

3

=

−

4

0

+

4

5x+{\color{#c92786}{12}}+3x=-40+4

5x+12+3x=−40+4

2

Combine like terms

3

Add the numbers

4 more steps

Solution

=

−

6

x=-6

x=−6

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Arc length = π r^2 (Θ/360)

There is a squared radius that can't be in the formula. The result will be an area instead of a length.

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

hola le noeva si (true) neisa adios

The correct option is A)\(U(x) = -αx + img x4.\)

Given the force F(x) = α - βx³. We are to find the potential field U(x) that the particle is in.

The potential field U(x) is the negative of the anti-derivative of the force function with respect to the position of the particle. Mathematically, we have:

\(U(x) = -∫F(x)dx.\)

The given force function is\(F(x) = α - βx³.\)

Hence, \(U(x) = -∫(α - βx³)dx\) Integrating the force function gives

\(U(x) = -αx + β * ¼ x⁴ + C\)

where C is a constant of integration.

Since we have assumed that the zero of potential energy is located at x = 0, then the constant C must be such that U(0) = 0.

That is: \(0 = -α(0) + β * ¼ (0)⁴ + C0 \\= 0 + C0 \\= C\)

Therefore, C = 0.

Thus, the potential field U(x) is given by \(U(x) = -αx + β * ¼ x⁴.\)

So the correct option is A)\(U(x) = -αx + img x4.\)

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Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.

An exponential function is modeled by:

\(y = ab^x\)

In which:

In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:

\(y = a(3)^x\)

Hence, after 2 hours:

\(y = a(3)^2 = 9a\)

Which means that the multiplier is of 9.

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Answer:

-5

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here,

We have to determine:

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph; g(x) = f(x - 9)

here, we have,

The straight-line x=6 is a vertical asymptote of the graph of the function  g(x) = f(x - 9) if at least one of these conditions is true:

we have,

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

we know,

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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The solution of the equation 3x - 5(3 - 2x) = 6x - 15 will be 0.

Given that:

Equation, 3x - 5(3 - 2x) = 6x - 15

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Solve the equation for 'x', then we have

3x - 5(3 - 2x) = 6x - 15

3x - 15 + 10x = 6x - 15

7x = 0

x = 0

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The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Answer:

C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess

Step-by-step explanation:

Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.

I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.

8x+12y≤240, or 12y+8x≤240

Answer:

Sample Response:Break the figure into a parallelogram and a triangle. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of figure.

Step-by-step explanation:

The area of the figure that can be broken into a parallelogram and triangle is 36 square inches.

In two-dimensional geometry, it is a plane shape having four sides in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

We are assuming the figure can be broken into a parallelogram and triangle with dimensions shown in the picture.

First, we calculate the area of the triangle CDE

CE = 4 in from the figure

Height of the triangle = 12-6 = 6 in

Area of a triangle:

\(=\rm \frac{1}{2} \times4\times6\)

= 12 square in

For area of the parallelogram:

Area = BH

B = 4 in and H = 6 in

Area = 4×6 = 24 square in

Area of figure = 12 + 24 = 36 square in.

Thus, the area of the figure that can be broken into a parallelogram and triangle is 36 square inches.

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Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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The power series expansion of f(x) is:

f(x) = 2 - (10/11)x + (130/363)x^2 - (12870/1331)x^3 + ... (for |x/11| < 1)

We can use the binomial series to expand the function f(x) = 2(1-x/11)^(2/3) as a power series:

f(x) = 2(1-x/11)^(2/3)

= 2(1 + (-x/11))^(2/3)

= 2 ∑_(n=0)^(∞) (2/3)_n (-x/11)^n (where (a)_n denotes the Pochhammer symbol)

Using the Pochhammer symbol, we can rewrite the coefficients as:

(2/3)_n = (2/3) (5/3) (8/3) ... ((3n+2)/3)

Substituting this into the power series, we get:

f(x) = 2 ∑_(n=0)^(∞) (2/3) (5/3) (8/3) ... ((3n+2)/3) (-x/11)^n

Simplifying this expression, we can write:

f(x) = 2 ∑_(n=0)^(∞) (-1)^n (2/3) (5/3) (8/3) ... ((3n+2)/3) (x/11)^n

Therefore, the power series expansion of f(x) is:

f(x) = 2 - (10/11)x + (130/363)x^2 - (12870/1331)x^3 + ... (for |x/11| < 1)

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Answer:

5*5*5 - 12 / 3 = 121

Step-by-step explanation:

5^3 = 5 * 5 * 5 = 25 * 5 = 125

12/3 = 4

We evaluate exponents first: 5^3 = 125

Then division: 12/3 = 4

Then subtraction: 125 - 4 = 121

The distance d between the train and the railroad marker can be expressed as:

d = 200 - 65h

where 200 represents the initial distance between the train and the marker, and 65h represents the distance the train has covered after h hours, assuming a constant speed of 65 miles per hour.

To find the time it will take for the distance between the train and the marker to be 4 miles apart, we can set d to 4 and solve for h:

4 = 200 - 65h

65h = 196

h = 196/65

So the equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart is:

200 - 65h = 4

or

65h = 196

or

h = 196/65

The expected value and the standard error for a labor participation rate in the company's sample is 0.0043

In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.

The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).

A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.

We have to find the expected value and the standard error for a labor participation rate in the company's sample.

Working age people sample n = 120

The labor force participation rate in the United States was 66.9% = 0.669

The Expected value is μ = p = 0.669

The standard error:

SE = √p(1-p)/n

SE = √0.669(1-0.669)/120

SE = √0.669*0.331/120

SE = √0.2214/120

SE = √0.001845

SE = 0.043

Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.

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If Ashley sold total of 155 cups for $265 , then Ashley sold 98 regular cups of lemonade and 57 large cups of lemonade.

Let number of regular cups of lemonade sold be = x

Let number of large cups of lemonade sold be = y

The price of a regular cup of lemonade is = $1.25.

The price of a large cup of lemonade is = $2.50.

The total number of cups sold is = 155.

The total revenue from sales is = $265.

Using this information, the system of equations to represent the problem can be written as :

⇒ x + y = 155     ...equation(1)

⇒ 1.25x + 2.5y = 265    ....equation(2)

We solve this system of equations by using substitution method .

On solving equation(1) for y, we get ,

⇒ y = 155 - x ,

Substituting this expression for y into equation(2),

We get ,

⇒ 1.25x + 2.5(155 - x) = 265 ,

Simplifying and solving for x,

We get ,

⇒ 1.25x + 387.5 - 2.5x = 265 ,

⇒ -1.25x = -122.5

⇒ x = 98

So , Ashley sold 98 regular cups of lemonade.

To find the number of large cups of lemonade sold, we substitute this value for x into equation(1) ,

We get ,

⇒ 98 + y = 155

⇒ y = 57

So , Ashley sold 57 large cups of lemonade.

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The linear equation in the given graph is.

y = 40x

We know that the general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept, these two values are constants, and the variables are x and y.

First, notice that the line intercepts the y-axis at the point (0, 0), then b = 0.

So we can write:

y = a*x

Also notice that the line passes through the point (1, 40), then:

40 = a*1

40/1 = a

The linear equation is.

y = 40x

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