Hello! I think I have this right but feel iffy about it

Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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\(x_{1} =-0.1705\\\\x_{2} =0.7330\).

\(5(\frac{3x}{2-4x} )+15=-12x+12\)

\(\frac{(5)(3x)}{2-4x} +15=-12x+12\\ \\\frac{15x}{2-4x} +15=-12x+12\)

\(\frac{15x}{2-4x} +15-15=-12x+12-15\\ \\\frac{15x}{2-4x}=-12x-3\)

\(\frac{15x}{2-4x} (2-4x)=(-12x-3)(2-4x)\\ \\15x=(-12x)(2)+(-12x)(-4x)+(-3)(2)+(-3)(-4x)\\ \\15x=(-24x)+(48x^{2} )+(-6)+(12x)\\ \\15x=-24x+48x^{2}-6+12x\\ \\15x=48x^{2}-12x-6\)

\(15x+12x=48x^{2}-12x-6+12x\\ \\27x=48x^{2}-6\)

\(-48x^{2}+27x+6=0\)

Check the attached image to see how to identify these coefficients.

a= -48;

b= 27;

c= 6.

\(x_{1} =\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)}\\ \\x_{1} =-0.1705\)

\(x_{2} =\frac{-(51)-\sqrt{(51)^{2} -4(36)(6)} }{2(36)}\\ \\x_{2} =0.7330\)

If the answers are correct, both sides of the equation should return the same value when substituting any of the x values and calculating.

\(5(\frac{3(\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})}{2-4(\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})} )+15=-12(\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})+12\\\\14.04631211=14.04631211\)

That's correct.

\(5(\frac{3(\frac{-(27)-\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})}{2-4(\frac{-(27)-\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})} )+15=-12(\frac{-(27)-\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})+12\\ \\3.203687889=3.203687889\)

That's correct.

Check attached image 2 to see the proof of these calculations.

Hence, x₁=-0.1705 and x₂=0.7330 are the correct answers.

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Answer: y3 = y= 4. 4 x3 =12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you would replace y with 4 and that leaves you with

(4)3= 12

Good luck have a good rest of your day!

Answer:

a = 5

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties: Distributive, etc.

Step-by-step explanation:

Step 1: Write equation

3(a + 3) + 6 = 30

Step 2: Solve for a

Step 3: Check

Plug in a to verify it's a solution.

Answer:

3x+3 ≥ 12

3x ≥ 9

x ≥ 3

So A is correct

Let me know if this helps or if you have any other questions!

Step-by-step explanation:

ig its box B if it was wrong sorry! but yes ig its B

Answer:

1024

Step-by-step explanation:

4(x-y)^8

Substitute the variables with the numbers

4 ( -2 - -4)^8

Solve what’s in the parentheses first

4 (2)^8

Exponent

4(256)

Solve

1024

Your answer would be 1024

I hope it helps!

Muffin<3

Answer:

65 boletos.

Step-by-step explanation:

Sabemos que el precio para un niño es 6 dólares, y el precio para un adulto es 9,20 dólares. Además, el cine se vendió 146 boletos, y recibió 1135,20 dólares.

Vamos a resolver este problema con un sistema, usando 2 varibles.
No sabemos cuantos boletos de niño el cine vendió, entonces el cine vendió <<x>> boletos de niños. Tampoco sabemos cuantos boletos de adultos vendió, entonces vendió <<y>> boletos de adultos.

En total, vendió 146 boletos; el número de los boletos de niños con el número de los boletos de adultos es 146 boletos.

Usando las variables, x + y = 146 boletos.

Esta es una de las equaciones que necesitamos.

Porque todos los boletos de niños es 6 dólares, si el cine vendió <<x>> boletos, su total de ventas (de boletos de niños) es <<6x>> dólares.

Lo mismo es verdad para los boletos de adultos; todos los boletos de adultos es 9,20 dólares, entonces si vendió <<y>> boletos, el total de ventas de boletos de adultos es <<9,20y>> dólares.

En total, las ventas de los boletos de niños + las ventas de los boletos de adultos es 1135,20 dólares.

O, con variables, es 6x + 9,20y = 1135,20

Nuestra sistema es:

x + y = 146

6x + 9,20y = 1135,20

Ahora necesitamos resolver esta sistema.

Podemos usar la sustitución. Vamos a resolver una de las eqaciones para una variable, y después, usar el valor de esa variable para encontrar la solución para una de las variables, y después, usar  esa solución para encontrar la solución de la otra variable.

Podemos mover <<y>> al otro lado.

x + y = 146 => x = 146 - y

Ahora, podemos sustituir <<x>> para 146 - y en 6x + 9,20y = 1135,20

6(146-y) + 9,20y = 1135,20

Multiplica.

876 - 6y + 9,20y = 1135,20

Combina los términos que son los mismos.

876 + 3,20y = 1135,20

Mueva 876 al otro lado.

876 + 3,20y = 1135,20 => 3,20y = 259,20

Divide todo por  3,20.

3,20y/ 3,20 = 259,20/ 3,20

y = 81

Entonces, el cine vendió 81 boletos de adultos.

Recuerda, esta (81 boletos de adultos) no es lo que necesitamos. Necesitamos cuantos boletos de niños vendió.

Entonces, podemos substituir <<y>> con 81 en x = 146 - y. Recuerda que <<x>> es cuantos boletos de niños vendió.

x = 146 - y => x = 146 - 81 => 65

Entonces, el cine vendió 65 boletos de niños.

The inequality tha calculates the possible values of x is x < 2

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

after 42 months he has $2,696 in interest

compound quarterly is equivalent to annual rate of 4.835%

Part b

after 42 months he has $2,713 compound continuously

the diffrence is $17  

15000 + 4.75% · 42  compound quarterly is $2,696

15000 + 4.75% · 42 compound continuously is $2,696

Answer:

Step-by-step explanation:

Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)

ANSWER:

Weekly salary = $300

Commision on sales = 6.0%

Let's find how much she will make in a week if she sold $4,300 worth of merchandise.

To find how much she will make, apply the formula below:

Thus, we have:

Therefore, she would make $558 in a work week.

ANSWER:

$558

Answer:

The store has between 8 and 9 pounds of dry cat food.

Step-by-step explanation:

Dog food = 58 lb

Cat food = \(\dfrac{58}{7} \ \textsf{lb} = 8 \frac27 \ \textsf{lb}= 8.3 \ \textsf{lb}\)

The store has between 8 and 9 pounds of dry cat food.

(if the numbers are whole numbers)

Answer:person up top is right it’s B

Step-by-step explanation: on edg 2020

Answer:

The answer is B

Step-by-step explanation:

lol yw guys

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

<95141404393>

It may be 6, 30 if not sorry I tried my bestto help

Answer:

  GHc 208.33 per day

Step-by-step explanation:

Gloria's pay is the product of her daily rate and the number of days she works. This relation can be used to find her daily rate.

__

  (pay for 12 days) = (daily rate) × (12 days)

  GHc 2500 = (daily rate) × (12 days)

Dividing both sides of the equation by (12 days), we find the daily rate to be ...

  (GHc 2500)/(12 days) = (daily rate)

  GHc 208.33/day = daily rate

Gloria's daily rate of payment is GHc 208.33 per day.

Answer:

To find the formula for (g∘f)(x), we need to first evaluate g(f(x)):

g(f(x)) = g(x+3) = (3(x+3)+5)/3 = (3x+14)/3

So, (g∘f)(x) = (3x+14)/3

To find the domain for (g∘f)(x), we need to consider any restrictions on x that would make the function undefined. The only possible restriction is if the denominator of (3x+14)/3 is zero, which occurs when 3x+14=0. Solving for x, we get x=-14/3. Therefore, the domain of (g∘f)(x) is all real numbers except -14/3, or (-∞, -14/3) U (-14/3, ∞).

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

V =704 m^3

Step-by-step explanation:

Remark

The Volume of a cubical Prism = Length * Width * Height of L * w * h

Givens

L = 22 meters

w = 4  meters

h = 8 meters

Solution

V = L * w * h

V = 22 * 4 * 8

V = 704 m^3

What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?

In this question we are provided with the length, breadth and height of a rectangular prism. We are asked to calculate the volume of the rectangular prism.

We know,

\( \star \: \small\boxed{ \rm{ Volume_{(rectangular \: prism)} = L×B×H}}\)

Where,

Substituting the values we get

\( \small\sf{ Volume_{(rectangular \: prism)} = 22×4×8 = 704 m³}\)

Hence, the volume of the rectangular prism is 704 m³.

Given:

The data are 23, 29, 15, 21, and 21.

To find:

The range

Explanation:

Here, the largest value is 29.

The smallest value is 15.

The formula for the range is,

Range = Largest value - Smallest value

Using the formula we get,

Final answer:

The range of the data is 14.

Answer:

The first one

Step-by-step explanation:

Answer:

))

Step-by-step explanation:

just place your decimal once to the left I think

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

x = -6

Step-by-step explanation:

2-3(x+4) = 8

2 - 3x - 12 = 8

-3x - 10 = 8

-3x = 18

x = -6

Answer:

x = -6

Step-by-step explanation:

2 - 3 (x + 4) = 8

2 - 3x - 12 = 8

- 10 - 3x = 8

- 3x = 8 + 10

- 3x = 18

x = -18/3

x = -6

___________

hope this helps!

Answer:

Can give you the example then you have to figure out.

Step-by-step explanation:

We are assuming the center of the tower is at the origin, so we can use the standard form of a horizontal hyperbola centered at the origin: \displaystyle \frac{{x}^{2}}{{a}^{2}}-\frac{{y}^{2}}{{b}^{2}}=1

​a

​2

​​  

​

​x

​2

​​  

​​ −

​b

​2

​​  

​

​y

​2

​​  

​​ =1, where the branches of the hyperbola form the sides of the cooling tower. We must find the values of \displaystyle {a}^{2}a

​2

​​  and \displaystyle {b}^{2}b

​2

​​  to complete the model.

First, we find \displaystyle {a}^{2}a

​2

​​ . Recall that the length of the transverse axis of a hyperbola is \displaystyle 2a2a. This length is represented by the distance where the sides are closest, which is given as \displaystyle \text{ }65.3\text{ } 65.3  meters. So, \displaystyle 2a=602a=60. Therefore, \displaystyle a=30a=30 and \displaystyle {a}^{2}=900a

​2

​​ =900.

To solve for \displaystyle {b}^{2}b

​2

​​ , we need to substitute for \displaystyle xx and \displaystyle yy in our equation using a known point. To do this, we can use the dimensions of the tower to find some point \displaystyle \left(x,y\right)(x,y) that lies on the hyperbola. We will use the top right corner of the tower to represent that point. Since the y-axis bisects the tower, our x-value can be represented by the radius of the top, or 36 meters. The y-value is represented by the distance from the origin to the top, which is given as 79.6 meters. Therefore,

x

2

a

2

−

y

2

b

2

=

1

Standard form of horizontal hyperbola

.

b

2

=

y

2

x

2

a

2

−

1

Isolate  

b

2

=

(

79.6

)

2

(

36

)

2

900

−

1

Substitute for  

a

2

,

x

,

and  

y

≈

14400.3636

Round to four decimal places

The sides of the tower can be modeled by the hyperbolic equation

\displaystyle \frac{{x}^{2}}{900}-\frac{{y}^{2}}{14400.3636 }=1,\text{or}\frac{{x}^{2}}{{30}^{2}}-\frac{{y}^{2}}{{120.0015}^{2} }=1

​900

​

​x

​2

​​  

​​ −

​14400.3636

​

​y

​2

​​  

​​ =1,or

​30

​2

​​  

​

​x

​2

​​  

​​ −

​120.0015

​2

​​  

​

​y

​2

​​  

​​ =1

The shape of hyperbolic cooling tower is a conic section that can be described with a formula equation.

a = 28.5, b ≈ 52.65

\(Equation \ of \ hyperbola;\ \dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1\)

Reasons:

The parameters of the hyperbolic cooling tower are;

Minimum diameter = 57 feet

The height at which the diameter occurs = 155 ft.

The diameter of the tower = 175 feet

Total height of the tower = 200 feet

Height at which the center of the hyperbola occurs = 155 feet

Solution:

The equation of a hyperbola is; \(\dfrac{(x - h)^2}{a^2} - \dfrac{(y- k)^2}{b^2} = 1\)

The center of the hyperbola = (0, 155)

\(a = \dfrac{57}{2} = 28.5\)

At y = 155,  

Therefore;

\(\dfrac{x^2}{28.5^2} - \dfrac{(y -155)^2}{b^2} = 1\)

At y = 200 feet \(x = \dfrac{75 \ feet}{2} = 37.5 \ feet\)

Therefore;

\(\dfrac{37.5^2}{28.5^2} - \dfrac{(200 -155)^2}{b^2} = 1\)

b² = 2769.0340909

b ≈ 52.62

The equation of the hyperbola is therefore;

\(\dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1\)

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The inequality that describes the possible value of x is

The triangles described gave the information to form the inequality equation

from the description it can be deduced that

m< bca = m< dce vertical angles

since side 12 is greater than 10 then m< bac > m< dec

therefore 50 > 5x - 10

solving for x

50 > 5x - 10

50 + 10 > 5x

60 > 5x

x < 12

therefore 2 < x < 12 is the inequality that represents x

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)