Write the other side of this equation so that this equation
is true for ALL values of u.
6(u-2)+2 =

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

\(\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}\)

This gives

\(\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}\)

Simplify

\(\mathbf{k = \sqrt{16 +0}}\)

Add 16 and 0

\(\mathbf{k = \sqrt{16}}\)

Take the square root of 16

\(\mathbf{k =4}\)

Hence, the scale of dilation is 4

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Answer:

sin2x = 16/65

cos2x = -63/65

tan2x = -16/63

Explanation:

the tangent of an angle is equal to the opposite side over the adjacent side. So, if the tan(x) = 8, we can represent this as the following diagram:

Therefore, we can calculate the value of the hypotenuse as:

With the hypotenuse, we can calculate sin(x) and cos(x) as follows:

We type the negative sign because the question says that sin(x) is negative.

Now, we will use the following trigonometric identities to find sin(2x), cos(2x) and tan(2x)

Therefore, replacing the values, we get:

So, the answers are:

sin2x = 16/65

cos2x = -63/65

tan2x = -16/63

Answer:

C

Step-by-step explanation:

Each output is 3 more than the input

Answer: the answer is c, y + 3

The graph that represents the solution to the system is (b)

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

x² - 4y² < 16

y < 2ˣ

The above system is a system of of nonlinear inequalities

This means that they would be represented with curves when plotted

Next, we plot the graph and make comparison with the descriptiions in the list of options

From the list of options, the graph that represents the solution is option (b) with the following description:

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Answer: is b

Step-by-step explanation:

edge 2023

Answer:

$32.50

Step-by-step explanation:

7 divided 227.50=32.50

no. of grandchildren = 7

total amount = $227.50

amount received by each grandchild = 227.5/7

= $32.5

Answer:

0.6 inch

Step-by-step explanation:

The volume of a sphere is calculated through the equation,

                           V = 4πr³/3

Which means that the radius is calculated by the equation,

                                (3V/4π)^(1/3) = r

Substituting,

           Sphere A,       (3x30/4π)^(1/3) = r = 1.927 in

           Sphere B,        (3x10/4π)^(1/3) = r = 1.336 in

When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.

The estimated standard error for the sample is 6

Given,

Sample size, n = 36

Sample variance, \(s^{2}\) = 1296

Standard deviation, s = √1296

                                   = 36

Standard error, SE = \(\frac{s}{\sqrt{n} }\)

                              = \(\frac{36}{\sqrt{36} }\)

                              = \(\frac{36}{6}\)

                              = 6

Concept

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Answer:

Below

Step-by-step explanation:

You can solve this using competion of the square or the Quadratic Formula with a = 1   b = 6   c= 1

Quad. Form shows x = -3 ± sqrt 7   = -.35  and -5.66

This is an example of systematic sampling, where every nth item is selected for testing throughout the production day.

In this case, every 100th product produced is selected for quality control testing. Systematic sampling is a statistical technique used in survey methodology that involves choosing components from an ordered sampling frame. An equiprobability approach is the most typical type of systematic sampling.

This method treats the list's evolution in a cyclical manner, returning to the top after it has been completed. The sampling process begins by randomly choosing one element from the list, after which every subsequent element in the frame is chosen, where k is the sampling interval (sometimes referred to as the skip).

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The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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Answer: 2(x-11)

Step-by-step explanation:

Disclaimer: The options are missing. They are as follows:

a. 2(11-x)

b. 11-2x

c. 2x-11

d. 2(x-11)

The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.

An algebraic expression is a combination of variables and constants, as well as algebraic operations (addition, subtraction, etc.). Terms are the building blocks of expressions.

We are asked to find the algebraic expression that represents this word description The product of two and the difference between a number and eleven.

We let the unknown number be x.

We are said that the expression is the product of two and the difference between a number and eleven.

The difference between a number and eleven can be written as x - 11.

Now we need the product of this and two, that can be written as:

2(x - 11).

∴ The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.

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Answer:

a.12.6   b.8.0

Step-by-step explanation:

The total volume of silo is  = 116.5\({~m}^{3}\)

The correct option is C

Any arrangement of points, lines, or planes constitutes a geometric figure. Depending on their dimensions, geometric figures can be categorized as either a space figure, a plane figure, a line, a line segment, a ray, or a point.

Any object's surface area is the space that the object's surface takes up on a specific area or region. Volume, however, refers to how much room a thing has.

Given data:

Radius =4.4/2

                   =2.2

height of cylinder = 6.2

to find :

total volume of silo =  volume of cylinder + volume of hemisphere

                                  \(\begin{aligned}&=\pi r^{2} h+\frac{2}{3} \pi r^{3} \\&=\pi r^{2}\left(h+\frac{2}{3} r\right) \\&=\frac{22}{7} \times(2.2)^{2}\left[6.2+\frac{2 \times 2.2}{3}\right]\end{aligned}\)

                                   = 116.5\(m^2\)

The total volume of silo is = 116.5\(m^2\)

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I understand that the question you are looking for is:

A grain silo is composed of a cylinder and a What is the approximate total volume of the silo? Use hemisphere. The diameter is 4.4 meters. The height of  3.41 for \(\pi\) and round the answer to the nearest tenth of its cylindrical portion is  6.2 meters. a cubic meter.

a. 37.1\(m^2\)

b. 71.9 \(m^2\)

c.116.5 \(m^2\)

d. 130.8\(m^2\)

Rounding to two decimal places, the minimum acceptable weight of a box of cookies is 15.42 ounces.

weight of the boxes of cookies follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.25 ounces.

To find the minimum acceptable weight of a box of cookies, we need to find the value that corresponds to the 1st percentile of the normal distribution.

Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 1st percentile is approximately -2.33.

We can use the formula z = (x - μ) / σ, where x is the minimum acceptable weight, μ is the mean, and σ is the standard deviation, to solve for x.

Plugging in the values, we get:

-2.33 = (x - 16) / 0.25

Solving for x, we get:

x = -2.33 * 0.25 + 16 = 15.4175

Rounding to two decimal places, the minimum acceptable weight of a box of cookies is 15.42 ounces.

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The CDF of the random variable Z, defined as Z = X - Y, is given by F(z) = z + 1/2 for -1 ≤ z ≤ 1.

The PDF of Z is constant and equal to 1 for -1 ≤ z ≤ 1, and 0 elsewhere.

Z is a uniform distribution between -1 and 1.

Since X and Y are both uniformly distributed in the interval [0, 1], the difference Z = X - Y can range from -1 to 1. Therefore, the range of Z is [-1, 1].

The CDF of a random variable Z, denoted as F(z), gives the probability that Z takes on a value less than or equal to z. We can express the CDF as:

F(z) = P(Z ≤ z)

For any value of z, we can rewrite the above expression using the definition of Z:

F(z) = P(X - Y ≤ z)

To calculate this probability, we need to consider the joint distribution of X and Y. Since X and Y are independent random variables, the joint distribution can be obtained by multiplying their individual distributions.

The distribution of X and Y:

Both X and Y are uniformly distributed in the interval [0, 1]. Therefore, their probability density functions (PDFs) are constant over this interval.

PDF of X:

fX(x) = 1, for 0 ≤ x ≤ 1

= 0, otherwise

PDF of Y:

fY(y) = 1, for 0 ≤ y ≤ 1

= 0, otherwise

To find the CDF of Z, we need to evaluate the probability P(X - Y ≤ z) for different values of z.

When z < -1, the probability P(X - Y ≤ z) is 0 since the difference between X and Y cannot be less than -1.

When z > 1, the probability P(X - Y ≤ z) is 1 since the difference between X and Y is always less than or equal to 1.

For -1 ≤ z ≤ 1, we need to calculate the probability in this range.

P(X - Y ≤ z) = ∫∫[X - Y ≤ z] fX(x) fY(y) dx dy

Since X and Y are independent, the joint distribution is simply the product of their individual distributions:

P(X - Y ≤ z) = ∫∫[X - Y ≤ z] fX(x) fY(y) dx dy

= ∫∫[X - Y ≤ z] (1)(1) dx dy

= ∫∫[X - Y ≤ z] dx dy

Step 4: Evaluating the integral:

To evaluate the integral, we need to determine the limits of integration. Since X and Y both range from 0 to 1, we have:

∫∫[X - Y ≤ z] dx dy = ∫(∫[0 ≤ X ≤ z + Y] dx) dy

For y ≤ z + y ≤ 1, the limits of integration become:

∫∫[X - Y ≤ z] dx dy = ∫(∫[0 ≤ x ≤ z + y] dx) dy

= ∫[0 ≤ x ≤ z + y] dx ∫[0 ≤ y ≤ 1] dy

Evaluating the inner integral:

∫[0 ≤ x ≤ z + y] dx = z + y

Plugging this back into the outer integral:

∫∫[X - Y ≤ z] dx dy = ∫[0 ≤ x ≤ z + y] dx ∫[0 ≤ y ≤ 1] dy

= ∫[0 ≤ y ≤ 1] (z + y) dy

= z + 1/2

Thus, for -1 ≤ z ≤ 1, the CDF of Z is given by:

F(z) = P(Z ≤ z) = z + 1/2, -1 ≤ z ≤ 1

Step 5: Calculate the PDF of Z.

The PDF of a random variable Z can be obtained by differentiating its CDF with respect to z. In this case, the CDF of Z is given by:

F(z) = z + 1/2, -1 ≤ z ≤ 1

Differentiating both sides with respect to z:

fZ(z) = d/dz (z + 1/2)

= 1, -1 ≤ z ≤ 1

Therefore, the PDF of Z is simply 1 for -1 ≤ z ≤ 1, and 0 elsewhere.

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Answer:

5, 6, 12, 13, 14

Step-by-step explanation:

Mean = all numbers added together then divided by the number of numbers (in this case, 5)

A mean of 10 means that a certain number divided by 5 gives that number which is 50 (all numbers have to add up to 50)

Median of 12 means the middle number when places in order is 12

I need two higher numbers than 12 (I picked 13 and 14 for no repeats) leaving me with 11 which I split up into 5 and 6 (You don't have to do this, I just did)

My numbers are: 5, 6, 12, 13, 14

Median: 12

Mean: 10

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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A  computer or program does. is called an algorithm according to a set of steps to accomplish a task.

The passage describes an algorithm as a set of steps that outlines a specific process to accomplish a task.

Algorithms are often expressed in various forms, including natural language, pseudocode, and flowcharts. They play a crucial role in how computers process data because they contain precise instructions for what a computer or program does.

By following these steps, computers can execute tasks with precision and accuracy. Algorithms are used in many different fields, including computer science, engineering, mathematics, and finance.

They are also integral to the development of artificial intelligence and machine learning, enabling computers to learn and make decisions based on data.

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Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.

Answer:

x is 26

Step-by-step explanation:

120+36 = 156

156÷6x =

x=26

Distribution agreements involve both parties mutually contributing to the distribution efforts.

A joint venture is another way of referring to a non-equity mode of entry with an alliance partner. An acquisition is another way of referring to an equity mode of entry, including, but not limited to, an acquisition. A license grants the right or permission to use the property, including intellectual property, of another. A distribution agreement is an agreement between at least two parties to join their efforts in an attempt to sell a product or service. The two main types of distribution agreements are sponsored and collaborative. In a sponsored distribution agreement, one party sponsors the other party's product or service, while in a collaborative distribution agreement, both parties work together to sell the product or service.

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(i) The probability that the team contains 3 men and 2 women is 0.381.

(ii) The probability that the team contains at least 3 men is 0.673.

(i) To find the probability of selecting 3 men and 2 women, we can use the concept of combinations. The total number of ways to select 5 people from 9 (5 men and 4 women) is 9C5 = 126.

The number of ways to select 3 men from 5 men is 5C3 = 10, and the number of ways to select 2 women from 4 women is 4C2 = 6.

So, the number of favorable outcomes (selecting 3 men and 2 women) is 10 * 6 = 60.

Therefore, the probability is 60/126 = 0.381.

(ii) To find the probability of selecting at least 3 men, we can calculate the probability of selecting exactly 3 men, exactly 4 men, and exactly 5 men, and then add them together.

The probability of selecting exactly 3 men can be calculated as (5C3 * 4C2) / 9C5 = 60/126 = 0.381.

The probability of selecting exactly 4 men can be calculated as (5C4 * 4C1) / 9C5 = 20/126 = 0.159.

The probability of selecting exactly 5 men can be calculated as (5C5 * 4C0) / 9C5 = 1/126 = 0.008.

Adding these probabilities together, we get 0.381 + 0.159 + 0.008 = 0.548.

Therefore, the probability of selecting at least 3 men is 0.548.

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The number that must be added to the positive difference of 4³/10 and 7⅔ to obtain 25​ is 21 \(\frac{19}{30}\)

A mixed number is a non-integer that is made up of a whole number, a numerator and a denominator. An example of a mixed number is 21 \(\frac{19}{30}\).

The first step is to determine the positive difference between the mixed numbers. If the difference is positive, it means that the smaller fraction was subtracted from the larger fraction.\(7\frac{2}{3} - 4\frac{3}{10}\)

\(3\frac{20 - 9}{30}\) = \(3\frac{11}{30}\)

The next step is to subtract 3 11/30 from 25

25 -  \(3\frac{11}{30}\) = 21 \(\frac{19}{30}\)

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The distance between points B and C is 10.3 miles.

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional figures. Trigonometry is made up of trigonometric functions (also known as circular functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

If we have a triangle with a right angle,

Then, tan = Opposite/Adjacent side

To find the distance,

In the ABC right angle triangle,

5.7 miles on the adjacent side = AB

θ = 61°

We must locate the BC.

tan = Opposite/Adjacent side

tan61°= BC/5.7

BC = 5.7×tan61°

BC = 10.283 = 10.3 (to the nearest tenth).

The figure is attached below.

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The vertexes of the original triangle are the points (-2,4), (-4,-2) and (-5,3). After the transformation the new vertexes will be:

Then, the new triangle is: