10^-3
it told me i needed to write more characters

Total number of bottle bottoms of color A = 12 (on each side) * 3 (sides) = 36. Total number of bottle bottoms of color B = 12 (on each side) * 3 (sides) = 36

To determine the number of bottle bottoms of each color needed for the mosaic, let's analyze the given information.

The mosaic is in the shape of an equilateral triangle with 24 bottle bottoms on each side. The arrangement is made of two colored bottles piled alternately. Let's assume there are two different colors of bottle bottoms, color A and color B.

In an equilateral triangle, each side has the same number of bottle bottoms. Therefore, each side of the triangle consists of 24 bottle bottoms.

Since the arrangement is made of two colored bottles piled alternately, we can conclude that there are an equal number of color A and color B bottle bottoms on each side of the triangle.

Let's denote the number of bottle bottoms of color A on each side as 'x', and the number of bottle bottoms of color B on each side as 'x'.

Therefore, the total number of bottle bottoms on each side is:

x (color A) + x (color B) = 24

Simplifying the equation:

2x = 24

Dividing both sides by 2, we find:

x = 12

This means that there are 12 bottle bottoms of each color on each side of the equilateral triangle.

Since there are three sides to the equilateral triangle, we need to multiply the number of bottle bottoms on each side by 3 to find the total number of bottle bottoms needed.

Therefore, we will need 36 bottle bottoms of each color (color A and color B) to create the mosaic in the shape of an equilateral triangle with 24 bottle bottoms on each side, arranged in a pattern where color A and color B are piled alternately.

Please note that this solution assumes an equal number of bottle bottoms of each color and the pattern described in the question.

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Answer:

one person one number

Step-by-step explanation:

Answer:

One person One number

Step-by-step explanation:

You probably don't need my answer but yeh

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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The number of triangles for every 3 circles is given as follows:

C. 5.

The number of triangles for every 3 circles is obtained applying the proportions in the context of the problem.

From the figure, we have that:

Hence the number of triangles per circle is given as follows:

10/6 = 5/3.

Hence the number of triangles for 3 circles is given as follows:

3 x 5/3 = 5.

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Answer:

D

is the answer

Answer:

Factoring.

Completing the Square.

Quadratic Formula.

Graphing.

Step-by-step explanation:

Hope it helps!

Simplify the expression.

2m

Answer:

1:2

becuase it can be honestly

Answer: 0.8333

Step-by-step explanation:

Answer:

B.) Agricultural advances

Step-by-step explanation:

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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Answer:

Your answer is <PBD = 56

Step-by-step explanation:

That red square indicate that its a right triangle meaning that <PBH is 90°

Those two angle <PBD and <DBH are complementary angle meaning that those two angle add up to 90°

So,

<PBD + <DBH = 90°

(3k + 65°) + 34 = 90

3k + 65 + 34 = 90

3k = -9

k = -3

Plug in k = -3 in <PBD to solve for the measure angle.

<PBD = (3k + 65°) ; k = -3

<PBD = 3(-3) + 65

<PBD = -9 + 65

<PBD = 56

Answer:

(-2,9)

Step-by-step explanation:

Nonlinear dynamics and chaos are important fields of study within mathematics that focus on the behavior of complex systems that are difficult to predict. These systems can exhibit chaotic behavior, which is characterized by extreme sensitivity to initial conditions and the appearance of random patterns and fluctuations over time.

Differential equations are often used to model such systems, and numerical methods like 2nd order Runge-Kutta and 4th order Runge-Kutta can be used to solve them. The differential equation given in this to solve this equation using the 2nd order Runge-Kutta method, we need to follow these steps.

Write a conclusion based on the results obtained. The solution for the differential equation dy/dt = y²t using 2nd order Runge-Kutta and 4th order Runge-Kutta methods is more than 250 words, depending on the number of steps taken and the level of detail included in the explanation.

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Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

Answer:

I'm sorry, I can help you with only this one :( ∠F = 44°

Step-by-step explanation:

∠F = 180° - (46° + 90°) = 44°

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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The rectangular coordinates (-8, 8, 8) can be converted to cylindrical coordinates as (8√2, -π/4, 8).

To change from rectangular coordinates to cylindrical coordinates, we need to express the given point (-8, 8, 8) in terms of the cylindrical coordinates (r, θ, z). Cylindrical coordinates consist of a radial distance (r), an angle (θ), and a height (z).

In cylindrical coordinates, the conversion equations are as follows:

x = r * cos(θ)

y = r * sin(θ)

z = z

Let's apply these equations to the given point (-8, 8, 8):

For the radial distance (r):

We can calculate r using the formula:

r = √(x² + y²)

= √((-8)² + 8²)

= √(64 + 64)

= √128

= 8√2

For the angle (θ):

Since we have the point (-8, 8), which lies in the second quadrant, we can determine θ using the inverse tangent function:

θ = arctan(y / x)

= arctan(8 / -8)

= arctan(-1)

= -π/4

For the height (z):

The height remains the same, z = 8.

Therefore, in cylindrical coordinates, the point (-8, 8, 8) can be expressed as (8√2, -π/4, 8).

In summary, the rectangular coordinates (-8, 8, 8) can be converted to cylindrical coordinates as (8√2, -π/4, 8).

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Answer:

182 hours

Step-by-step explanation:

In this scenario, the total would be $1600 which is the maximum amount that can be wasted. The only variable in this scenario is the number of hours that the cashier can work. Therefore we can use the following formula to calculate the maximum number of hours the cashier can actually work (h) before going over the total limit.

8.75h = 1600 ... divide each side by 8.75

h = 182.85

Therefore, we see that the total amount of hours equals 182.85 but since we are counting hours then the answer would be 182 hours because if the cashiers work 183 hours there won't be enough money budgeted to pay them.

On a horizontal number line, the opposite of the inverse of 2 is 2 to the of zero.

The number on the other side of the 0 number line and at the same distance from 0 is the opposite of a number.

Given:

A number line is a horizontal line.

And a given number is 2.

Zero in the number line represents the origin.

The opposite of 2 to the zero is -2.

So, the opposite of the opposite of 2 means the opposite of -2.

That is -(-2).

And we know that - x - = +.

So, -(-2) = 2.

Therefore, the required value is 2.

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Answer:

The answer is C, Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

The correct proof to show similar circles is: translate the circles, so they share a common center point, and dilate circle Y by a scale factor of 3.

A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction.

Given that, Circle X with a radius of 6 units and circle Y with a radius of 2 units, we are asked to choose a step to show that circles are similar,

Therefore, the steps for proof is as follows :-

Translate the circles so that they share a common center point.

Dilate the smaller circle to increase its size to coincide with the larger circle.  The amount that the circle needs to be dilated by is the scale factor.

As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:

scale factor = 6 ÷ 2 = 3

Hence, The correct proof to show similar circles is:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

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1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. \(\sqrt{17}\\\) = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

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Using the reduction of order, the second solution y2(x) = c2 x e^(5x)

To use the method of reduction of order to find the second solution of the differential equation:

y'' − 10y' + 25y = 0

we assume that the second solution can be written as:

y2(x) = v(x) y1(x)

where y1(x) is a known solution of the differential equation, and v(x) is a function to be determined.

Taking the first and second derivatives of y2(x), we get:

y2'(x) = v'(x) y1(x) + v(x) y1'(x)

y2''(x) = v''(x) y1(x) + 2v'(x) y1'(x) + v(x) y1''(x)

Substituting these expressions into the differential equation, we get:

v''(x) y1(x) + 2v'(x) y1'(x) + v(x) y1''(x) − 10(v'(x) y1(x) + v(x) y1'(x)) + 25v(x) y1(x) = 0

Simplifying, we get:

v''(x) y1(x) + (2y1'(x) − 10y1(x))v'(x) + (y1''(x) − 10y1'(x) + 25y1(x))v(x) = 0

Since y1(x) = e^(5x) is a known solution of the differential equation, we have:

y1''(x) − 10y1'(x) + 25y1(x) = 0

Substituting this into the above equation, we get:

v''(x) y1(x) + (2y1'(x) − 10y1(x))v'(x) = 0

Multiplying through by e^(-5x), we get:

v''(x) e^(-5x) + 2v'(x) e^(-5x) = 0

This is a first-order linear differential equation in v'(x) with integrating factor e^(-5x), which gives:

e^(-5x) v'(x) = C1

where C1 is a constant of integration. Solving for v(x), we get:

v(x) = C1 ∫ e^(5x) e^(-5x) dx + C2

v(x) = C1 x + C2

Therefore, the general solution of the differential equation is:

y(x) = c1 e^(5x) + c2 x e^(5x)

where c1 and c2 are constants of integration.

Hence, the second solution is:

y2(x) = c2 x e^(5x)

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To calculate the present value of Ahmed's payments, we need to discount each annual payment back to the present using the appropriate discount rate. In this case, the discount rate is the interest rate of 8%. The formula to calculate the present value of an annuity is:

PV = Payment × [(1 - \((1 + r)^{(-n)\)) / r],

where PV is the present value, Payment is the annual payment, r is the interest rate, and n is the number of periods.

Plugging in the values from the given information:

Payment = BD 5700

Interest rate (r) = 8% or 0.08

Number of periods (n) = 12

Using the formula, we can calculate the present value:

PV = BD 5700 × [(1 - \((1 + 0.08)^{(-12)\)) / 0.08]

Calculating this equation, the present value of Ahmed's payments is approximately BD 46,392.10. Therefore, the correct answer is BD 46,392.10.

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Cindy thinks that she can now get the desk chair for free which is false. Then the percent off that she will receive with both the sale and the coupon will be 75%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Let X be the price of a new desk chair.

Cindy is shopping for a new desk chair at a store where the desk chairs are 50% off. Then the cost of a new desk chair after 50% off will be

⇒ 50% of X

⇒ 0.50X

She also has a coupon for 50% off any one item. Then the cost of a new desk chair after applying the coupon of 50% will be

Cost = 50% of 0.50X

Cost = 0.25X

Cindy thinks that she can now get the desk chair for free which is false.

Then the percent off that she will receive with both the sale and the coupon will be

Discount = [(X - 0.25X) / X ] * 100

Discount = 0.75 x 100

Discount = 75%.

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Answer:

  3(x-8)(x+5)

Step-by-step explanation:

You want to factor the quadratic 3x² -9x -120.

Each of the coefficients is divisible by 3, so that is the first thing we can factor out:

  = 3(x² -3x -40)

To factor the quadratic, we need factors of -40 that have a sum of -3.

  -40 = -40(1) = -20(2) = -10(4) = -8(5)

The last of these factor pairs have a sum of -3, so the factorization is ...

  = 3(x -8)(x +5)

__

Additional comment

The product of factors (x+a) and (x+b) is ...

  (x +a)(x +b) = x² +ax +bx +ab = x² +(a+b)x +ab

This is why we're looking for factors of -40 = ab, that have the sum (a+b) = -3.

Answer:

(-7,-2)  

Step-by-step explanation:

y = 3x + 19

y = 5x + 33

Substitute in y. Basically set equal to each other.

3x + 19 = 5x + 33

-2x = 14

x = -7

y = 3 (-7) + 19

y = -21 + 19

y = -2

Answer:

y = -2

x = -7

Step-by-step explanation:

Substitute y= 5x + 33

5x + 33 = 3x + 19

Isolate x for 5x + 33 = 3x + 19: x = -7

For y = 5x + 33

Substitute x = -7

y = 5(-7) + 33

y = -2

So the solution is y= -2, x=-7

We have to solve this system of equations by elimination.

We can substract the second equation directly from the first equation in order to cancel x.

Then, we can solve for y:

With the value of y, we can solve for x:

Answer: x=-5 and y=1