A toy train set has a circular track piece. The inner radius of the piece is 6 cm. One sector of the track has an arc length of 33 cm on the inside and 55 cm on the outside. What is the width of the track? *respost since people thought it would be funny to troll on my last. :/

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

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For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

The derivative of the cross-entropy with respect to z_0 is approximately -1.00.

Cross-entropy is the loss function, which is widely used in classification problems. The derivative of the cross-entropy of x with respect to z0 can be calculated as follows:

Given,  Let z=W.T x+b=(1 2 3 4 5) be the feature of data x after a linear mapping, and assume x is in class 5 out of (1, 2, 3, 4, 5) classes.

We know that Cross-entropy = -Σi yi log(zi) Here, we have z = (z0, z1, z2, z3, z4), where zi = e^(zi)/( Σ j e^(zj)).Thus, for the class of x, the cross-entropy of x is given by yj = 1 and, for other classes i, yi = 0.

Now, the derivative of the cross-entropy of x with respect to z0 is given by:∂(Cross-Entropy)/∂z0= d/dz0 (-y5 log(z5) - y0 log(z0))= -d/dz0(log(z0))= -1/z0

Now, substituting the given values of z = (1, 2, 3, 4, 5), we get:

∂(Cross-Entropy)/∂z0= -1/1= -1

Therefore, the derivative of the cross-entropy of x with respect to z0 is -1.

Thus, this is the required answer and it is rounded to 2 decimal places as -1.00.

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The values of ST and QR based on the information regarding the square will be 7 and 9.9

The square is a geometric figure that belongs to the parallelograms. The square has the following properties:

All four sides have the same length. The four angles measure 90. The sum of its angles is equal to 360

The diagonals are congruent. The diagonals bisect each other.

We get a PQRS square with PR=14. We are required to find ST and QR.

First, since the figure is a square, we must know that the diagonals are congruent. Therefore, we are required to find ST and QR:

PR = SQ = 14.

ST = 14/2 = 7

QR = sin 45 × 14

QR = 9.9

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Answer:

7

Step-by-step explanation:

Answer:

It equals 7 :)

Step-by-step explanation:

You  have to subtract 10 and three that is how you get three

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

the atmosphere has the smallest mass, followed by the oceans, inner core, crust, outer core, and mantle having the largest mass.

Based on the given masses, the order from least to greatest for the parts of the Earth would be:

Atmosphere (5.1 × 10¹⁸ kg)

Oceans (1.4 × 10²¹ kg)

Inner core (9.675 × 10²² kg)

Crust (2.6 × 10²² kg)

Outer core (1.835 × 10²⁴ kg)

Mantle (4.043 × 10²⁴ kg)

Therefore, the atmosphere has the smallest mass, and the list goes according oceans, inner core, crust, outer core, and mantle having the largest mass. The Earth is composed of several layers, including the crust, mantle, outer core, and inner core. The mass of the Earth is distributed unevenly among these layers, with the mantle being the most massive layer, accounting for about 84% (percentage) of the Earth's total mass. The core of the Earth is made up of the outer core and the inner core, which are predominantly composed of iron and nickel. The crust is the thin, outermost layer of the Earth, while the atmosphere is the layer of gases that surround the planet. Despite the atmosphere being the layer with the smallest mass, it plays a critical role in regulating the Earth's climate and sustaining life on the planet.

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Complete question

The mass of Earth is made up of these parts.

oceans     1.4 × 1021kg

crust      2.6 × 1022kg

atmosphere   5.1 × 1018kg

mantle     4.043 × 1024kg

outer core   1.835 × 1024kg

inner core   9.675 × 1022kg

What is the order, from least to greatest, of the masses of each part of Earth? Order the parts from least to greatest, with 1 being the smallest mass and 5 the greatest mass.

Step-by-step explanation:

I think the fig.. will helps you a lot...

Answer: 2(x^2+1)^3 (-8x^4-16x^2+x-8)

Step-by-step explanation:

The measure of central tendency is the most appropriate for this data is median.

There are a few different measures of central tendency to choose from, but the most common ones are the mean, median, and mode.

The mean is the arithmetic average of the data. To find the mean, you would add up all the values and divide by the total number of values. However, the mean can be sensitive to outliers or extreme values, which could skew the results. In this case, there are no extreme values, but the data is not evenly distributed across the three groups, so the mean may not be the best measure of central tendency to use.

The median is the middle value of the data when it is arranged in order from smallest to largest.

This can be a better measure of central tendency when the data is not evenly distributed. In this case, we can find the median by arranging the data in order: 25, 125, 250. The middle value is 125, which means that half of the pet owners surveyed own fewer than 125 pets, and half own more than 125 pets.

So, the median might be a good choice of measure of central tendency in this case.

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The given statement "calculated fields must always contain at least one constant" is false because calculated fields do not necessarily have to contain a constant value.

They can involve variables, formulas, functions, or expressions that perform calculations based on the given data. The purpose of calculated fields is to derive new values or perform computations based on existing data within a system or application.

While constants can be used in calculated fields, they are not a requirement. The specific requirements and structure of calculated fields may vary depending on the context and the software or system being used.

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Answer:

Between 12.8 and 12.9

Step-by-step explanation:

Firstly, we would need to get the value of the surd

So we have this as;

2 √41 = 12.81

Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer

Answer:

144inches cube

v=2*9*8cube

v=144 inche cube

Answer:

The answer is (b-5)2

Step-by-step explanation:

Decreasing means you need to subtract.

Doubled mean you need multiple it by 2.

Answer:

a number b is decreased by 5 then doubled

(b -5) x 2

the sum of 20 and h is divided by f

h/f = 20

Marissa's hair was 10inches long and then she cut b inches

10 - b

the sum of twice c and 10

2 x c = 2 x 10

anna had a n piece of candy and ate 5. she split remaining amount with three friends

(n-5) = (X / 3)

I hope my answer are correct and helpful a little bit.

Answer:

Associative property of addition

Step-by-step explanation:

Answer:

the width of the rectangle is 5.

Step-by-step explanation:

Let's assume that the width of the rectangle is x. Then, according to the problem statement, the length of the rectangle would be 3x.

The area of a rectangle is given by the formula:

Area = Length x Width

Substituting the values of length and width in the formula, we get:

75 = (3x) x (x)

Simplifying the right-hand side, we get:

75 = 3x^2

Dividing both sides by 3, we get:

25 = x^2

Taking the square root of both sides, we get:

x = ±5

Since the width cannot be negative, we take the positive value of x, which is 5.

Therefore, the width of the rectangle is 5

The piecewise function graphed in this problem is given as follows:

C) y = x² + 2, x < 1, y = -x + 2, x ≥ 1.

A piece-wise function is a function that has different definitions, depending on the input of the function.

To the left of x = 1 in this problem, we have the quadratic function with vertex at (0,2), hence it is given as follows:

y = x² + 2, x < 1.

To the right of x = 1, including x = 1, we have a linear function with slope of -1 and intercept of 2, hence it is given as follows:

y = -x + 2, x ≥ 1.

Thus option C is the correct option for this problem.

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The number of cups of flour that Diana use in the recipe will be 4 cups of flour.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Diana is baking bread, and the original recipe calls for 1 teaspoon of yeast and 2 cups of flour. Then the ratio of the number of teaspoons of yeast to the number of cups of flour will be constant.

Let 'x' be the amount of flour.

Diana will use the entire contents of a packet that contains 2 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe.  Then the equation is given as,

1 / 2 = 2 / x

x = 4

The number of cups of flour that Diana use in the recipe will be 4 cups of flour.

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Answer:

6/4=b/24

1.5=b/24

24(1.5)=b

36=b

Building is 36 ft tall

Step-by-step explanation:

Answer:

y=5/4x  

Step-by-step explanation:

(A fraction)

- The function h can be expressed as h(x) = 2(x-1)^2.
- This means that h is equal to two times the square of the difference between x and 1.
- The function h is a continuous function.

Explanation stepwise:
1. We are given that function h is two times the square of the difference of x and 1.
2. The square of the difference of x and 1 can be written as (x-1)^2.
3. Therefore, the function h can be expressed as h(x) = 2(x-1)^2, where h(x) represents the value of the function at x.
4. This equation shows that h is equal to two times the square of the difference between x and 1.
5. Lastly, since h is expressed in terms of a polynomial function, it is continuous. This means that there are no breaks, jumps, or gaps in the graph of the function.

Thus, the correct answers are:
- h(x) = 2(x-1)^2
- h is equal to two times the square of the difference between x and 1
- h is a continuous function.

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Answer:

The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.

Step-by-step explanation:

GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!

Check the picture below.

Answer:

To express the quadratic expression x^2 - 5x + 8 in the form of (x - a)^2 + b, we need to complete the square. To do this, we can add and subtract the square of half the coefficient of the x term. In this case, that would be (1/2)(-5) = -5/2. Therefore, we add and subtract (1/2)(-5)^2 = (-5/2)^2 = 25/4 to get:

x^2 - 5x + 8 = (x^2 - 5x + (25/4)) + (8 - (25/4))

Next, we need to add and subtract 25/4 in such a way that we can factor the quadratic expression as the square of a binomial. To do this, we add 25/4 to the first term and subtract 25/4 from the second term to get:

x^2 - 5x + (25/4) + (8 - (25/4)) = (x^2 - 5x + 25/4) + (8 - 25/4)

Now we can factor the quadratic expression as the square of a binomial:

(x^2 - 5x + 25/4) + (8 - 25/4) = (x - 5/2)^2 + (8 - 25/4)

Therefore, we can express x^2 - 5x + 8 in the form of (x - a)^2 + b where a is -5/2 and b is 8 - 25/4.

Note that the values of a and b are not whole numbers because we added and subtracted a fraction when completing the square.

Answer:

15

Step-by-step explanation:

Whenever you see 25% of something, divide the original number by four. Because 25x4=100, you can use this equation. 25% of something is always your original number divided by four. In this case, the original number is 60. 60 divided by four is 15.

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

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RT cannot equal 18 because then A + B  would be equal to C which and then the sides cannot touch.

Answer:

n has to be negative

Step-by-step explanation:

To solve this equation, 15 has to be subtracted from 2 which is negative

Since n is positive then the overall result will be negative