thirteen black and six white hexagonal tiles were used to create the figure below. if a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total number of white tiles and the total number of black tiles in the new figure?

Alpha value of 0.80 would cause exponential smoothing to respond the most slowly to forecast errors.

What is exponential smoothing?

Exponential smoothing is a method for estimating time series data in statistics. This method of forecasting is widely used in the estimation of the business cycle and other data with a linear trend. Exponential smoothing predicts the next time period by combining the most recent value of the series with a fraction of the prior forecast. The quantity of smoothing is determined by the alpha parameter.

Exponential smoothing can be described as follows:

\($$S_t=\alpha y_t + (1-\alpha)S_{t-1}$$\)

Where

S_t is the predicted value for time t,

α is the smoothing constanty is the actual value for time t−1

(1−α)S_{t−1} is the forecasted value for time t−1

Based on the equation, it is evident that the larger the value of α, the greater the contribution of the current period to the forecast. In the same way, the lower the value of α, the less significant the role of the current period in the forecast. As a result, it can be concluded that the smaller the value of α, the more slowly exponential smoothing reacts to forecast errors.

Therefore, the answer to this question is alpha value of 0.80 would cause exponential smoothing to respond the most slowly to forecast errors.

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I agree with the other persons answer.

Answer:

YW = 10 units

Step-by-step explanation:

∠Y ≅ ∠X ⇒ WX ≅ WY ⇒ YW = 10 units

Answer:

151.4496 cm^2 is the area

Answer:B

Step-by-step explanation:

5/8 of 48 is 30.

1/3 of 48 is 16.

So 30 people are spinning and 16 are lifting weights.

48-30-16=2

There are two people left out of 48.

2/48 reduces to 1/24.

Answer:

21x^2

Step-by-step explanation:

I think it should be 21x^2

(−2/3x)(21/2)x(−3)

Answer:21\(x^{2}\)

Step-by-step explanat

Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.

Hope that helps.

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

Jon is now 10% faster.

Step-by-step explanation:

Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1

10% is the percent form of 0.1

Answer:

I think no A. x = -1/2 ,x = -4

Answer:

all you do is add

Step-by-step explanation:

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer:

201.14 ft

Step-by-step explanation:

C = 2 π r = π d

C = \(\frac{22}{7}\) × 64 ≈ 201.14 ft

Answer:

3215.36

Step-by-step explanation:

C=πr²

C=3.14(32)²

C=3.14(32·32)

C=3.14(1024)

C=3215.36

The two equations to solve for angle E are E = tan⁻¹ e/f and E = sin⁻¹ e/g using the trigonometric ratios. Options b and e are correct.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Given the right triangle have right angle F = 90°, then the side f is the hypotenuse, so to solve for the angle E we have;

sin E = e/f {opposite/hypotenuse}

E = sin⁻¹ e/f

cos E = e/f {adjacent/hypotenuse}

E = cos⁻¹ g/f

tan E = e/f {opposite/adjacent}

E = tan⁻¹ e/g

Therefore, the two equations to solve for angle E are E = tan⁻¹ e/f and E = sin⁻¹ e/g using the trigonometric ratios.

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Answer:

25 students take both subjects.

Step-by-step explanation:

Solve for 60% of 300 students:

60/100 = x/300

Cross multiply:

60 × 300 = 100 × x

18000 = 100x

Divide both sides by 100:

180 = x

Solve for 20% of 300 students:

20/100 = x/300

20 × 300 = 100 × x

6000 = 100x

60 = x

Solve for the percentage of students in chemistry:

x/100 = 35/300

x × 300 = 100 × 35

300x = 3500

x = 11.66666...7

x = about 11.7%

Find the difference in percentages:

100 - 60 - 20 - 11.7

8.3

8.3% take both subjects

Solve for 8.3% of students:

8.3/100 = x/300

8.3 × 300 = 100 × x

2490 = 100x

24.9

About 25 students

Check your work by adding all the students together (to get to 300):

25 + 60 + 180 + 35

300 students total

This is correct!

Given the picture attached, we can use the Pythagorean Theorem to solve it:

Where a and b are the legs on the right triangle and c hypotenuse.

Hence:

ANSWER

b = 24

Answer:

y = 3

Step-by-step explanation:

We move all terms to the left:

26y-4-(68+2y)=0

We add all the numbers together, and all the variables

26y-(2y+68)-4=0

We get rid of parentheses

26y-2y-68-4=0

We add all the numbers together, and all the variables

24y-72=0

We move all terms containing y to the left, all other terms to the right

24y=72

y=72/24

y=3

Answer:

120L

Step-by-step explanation:

Given quantity;

    0.12kL to L

Solution:

Convert the given quantity to Liters;

      1000L  = 1kL

So.

        1kL gives 1000L

        0.12kL will be 1000 x 0.12  = 120L

Answer:

\(5x^2y^5z\)

Step-by-step explanation:

Hello!

Expand the cube root:

Use exponent rule:

The answer is \(5x^2y^5z\).

Answer:

Step-by-step explanation:

9

Answer:

C

Step-by-step explanation:

They are the same without rotation and translation

The  examples that would constitute a discrete random variable are;

I. Total number of points scored in a football game

III. Number of near collisions of aircraft in a year

A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.

A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.

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Answer:

can you send a picture of the  drop down menus, i cant see the option choices so i cant help

Step-by-step explanation:

First Triangle:

This is a special right-angled triangle and is known as 45°-45°-90° triangle

To solve for any side length, we can use the following procedure.

As you can see, the sides opposite to the 45° are equal and in this case, both are 3

Then the side opposite 90° will be

Therefore, the side a = 3√2

Second Triangle:

This is a special right-angled triangle and is known as the 30°-60°-90° triangle.

To solve for any side length, we can use the following procedure.

As you can see, the side opposite the 30° is the smallest.

The side opposite the 60° is 2 times the side 30°

The side opposite the 90° is √3 times the side 30°

For the given case, we want to know the side opposite of side 30°

We are given the side opposite the 60° that is 8

Therefore, side h = 4

Answer:Given equation as

x-2/2=m+n

1) x=2(m+n)+2

2)h=2A/b

3) 23

4)-81

5) 17/7

6) 8

7) 4 hours

8) width is 4.5 length is 7.5

9)  got wrong didn't answer

10)  got wrong picked never true

11) two points I only got 1 I picked you overdrew on the account by 36.00 so I guess the other is the acount has a balance less than

Step-by-step explanation:

In this we have to isolate x. So for this firstly we will multiply both side of equation by 2.

Now we can add 2 in both side

Answer:

-8

Step-by-step explanation:

-32^3/5

Fifth root of 32 is 2.

Thus, 2^3 is 8, but -8 instead due to making 32 positive

Hope this helps!

In the afternoon, Winston traveled a distance of 159 kilometers.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

On Monday, Winston covered a distance of 248 miles. In the morning, he covered 70 fewer miles than in the afternoon.

Let "x" be the number of miles Winston drove in the afternoon.

In the morning, Winston drove x - 70 miles.

In total, Winston drove 248 miles on Monday.

So, x + (x - 70) = 248

2x - 70 = 248

2x = 318

x = 318/2

Apply the division operation, and we get

x = 159

Thus, Winston drove 159 miles in the afternoon.

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