HELPPP i have 14 left to answer ejvevkjwnd

Answer:

gcf, hcf, lcd (308; 420) = 28 = 2^2 × 7: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

Step-by-step explanation:

use a calculator to help

The domain of this relation is the years 2001-2006 and the range is the number of inductees (8-11).

a. A mapping diagram is a visual representation of data that plots each item and its corresponding value in a diagram. The domain of this relation is the years 2001-2006, and the range is the number of inductees (8-11). A mapping diagram of this relation would look like this:
2001 | 11
2002 | 8
2003 | 9
2004 | 8
2005 | 7
2006 | 6

b. An ordered pair is a set of two values that are related in some way. For example, for the year 2001, the ordered pair would be (2001, 11) because 11 inductees were inducted in 2001. The ordered pairs for the Rock and Roll Hall of Fame and Museum inductees are (2001, 11), (2002, 8), (2003, 9), (2004, 8), (2005, 7), and (2006, 6).

c. A graph on the coordinate plane is a visual representation of data plotted on two axes. The x-axis represents the domain (the years 2001-2006) and the y-axis represents the range (the number of inductees 8-11).

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Using the given three equations F(x) = x² - 8x + 12, G(x) = 20 - 4x, and H(x) = (x - 6)², we get:

a) H(10) = 16,

b) F(2) = 0,

c) G(3) + H(4) = 12,

d) H(x) = x² - 12x + 36, and

e) F(x) + H(x) = 2x² - 20x + 48.

In the question, we are given three equations:

F(x) = x² - 8x + 12,

G(x) = 20 - 4x, and

H(x) = (x - 6)².

a) We are asked to determine H(10).

To do this, we substitute x = 10 in H(x), to get:

H(x) = (x - 6)²,

or, H(10) = (10 - 6)²,

or, H(10) = 4²,

or, H(10) = 16.

Thus, H(10) = 16.

b) We are asked to determine F(2).

To do this, we substitute x = 2 in F(x), to get:

F(x) = x² - 8x + 12,

or, F(2) = 2² - 8(2) + 12,

or, F(2) = 4 - 16 + 12,

or, F(2) = 0.

Thus, F(2) = 0.

c) We are asked to determine G(3) + H(4).

First we determine G(3) by substituting x = 3 in G(x), to get:

G(x) = 20 - 4x,

or, G(3) = 20 - 4(3),

or, G(3) = 20 - 12,

or, G(3) = 8.

Now, we determine H(4) by substituting x = 4 in H(x), to get:

H(x) = (x - 6)²,

or, H(4) = (4 - 6)²,

or, H(4) = (-2)²,

or, H(4) = 4.

Now, to determine G(3) + H(4), we substitute G(3) = 8, and H(4) = 4, to get:

G(3) + H(4)

= 8 + 4

= 12.

Thus, G(3) + H(4) = 12.

d) We are asked to simplify H(x) so that it does not have any parenthesis.

Now, H(x) = (x - 6)² is in the form of (a - b)².

We know that the simplification of the form (a - b)² is a² - 2ab + b².

Using the same, we get:

H(x) = (x - 6)²,

or, H(x) = x² - 2(x)(6) + 6²,

or, H(x) = x² - 12x + 36.

Thus, H(x) = (x - 6)², on simplifying to remove the parenthesis looks like, H(x) = x² - 12x + 36.

e) We are asked to determine F(x) + H(x).

We know that F(x) = x² - 8x + 12 and H(x) = x² - 12x + 36.

Adding the two, we get:

F(x) + H(x) = (x² - 8x + 12) + (x² - 12x + 36),

or, F(x) + H(x) = 2x² - 20x + 48.

Thus, F(x) + H(x) = 2x² - 20x + 48.

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we can write the Taylor series for f(x) = ln(1/x) using summation notation:

ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n

The Taylor series for the function f(x) = ln(1/x) based at 0 can be found by using the basic Taylor series for the natural logarithm function ln(1 + x):

ln(1 + x) = x - (x²)/2 + (x³)/3 - (x⁴)/4 + ...

To obtain the Taylor series for f(x) = ln(1/x), we need to substitute x with -x in the above series:

ln(1 - x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...

However, we want the Taylor series for f(x) = ln(1/x) based at 0, so we need to flip the sign of each term in the series:

ln(1/x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...

Now, we can write the Taylor series for f(x) = ln(1/x) using summation notation:

ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n

The largest open interval on which this series converges is (0, 1]. This is because the natural logarithm function ln(1/x) is only defined for positive values of x, and the Taylor series converges within the interval (0, 1].

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Answer:

x = -113

y = 30

Step-by-step explanation:

110+10+2y=180

2y=180-110-10

=60

y=60/2

y=60/2 =30

-3x-10-2x+15+110+120+95=540

-3x-2x =540+10-15-110-120-95

-5x=210

x=210/-5

x=210/-5 = - 42

Step-by-step explanation:

Here,

110+2y+10=180°(being sum of angles in

a straight line)

y=180-120

y=60°,,

now,

to find the value of X,

120+95+110+3x-10+2x+15=540°(being sum of all angle of pentagon)

330+5x=540°

5x=540-330

5x=210

X=210/5

x=42°,,

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Answer:

14.3

Step-by-step explanation:

Math

Answer:

14.3i think.

Step-by-step explanation:

Answer:

x= 20

Step-by-step explanation:

simplify by using cross multiplication

60=3x

now transpose the 3

60/3= x

20= x

if you have any questions pls list them in the comments.

Answer:

x=20

Step-by-step explanation:

5/3 and x/12 are proportional to each other so how 3 is proportional to 12 is how 5 is proportional to x. 12/3=4 so the common thing is 4. Now we multiply 5 by 4 which makes x=20.

I hope this helps :)

Answer: 7

Step-by-step explanation: Since AD is equivalent to DC, we write the following equation: 2x+5=3x-2. To get like terms on the same side, add 2 to both sides, as well as subtract 2x from both sides. The answer we find is x=7.

Hopefully this helps you!

Answer: 7

Step-by-step explanation:

2x+5=3x-2

5=x-2

7=x

The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

To solve the system of equations using the weighted least squares method, we need to minimize the sum of the squared weighted residuals. Let's solve the problem using both the algebraic approach and matrices.

Algebraic Approach:

We have the following equations:

A + 2B = 10.50 + V1 ... (1)

2A - 3B = 5.55 + V2 ... (2)

2A - B = -10.50 + V3 ... (3)

To minimize the sum of squared weighted residuals, we square each equation and multiply them by their respective weights:

\(2^2 * (A + 2B - 10.50 - V1)^2\)

\(3^2 * (2A - 3B - 5.55 - V2)^2\\1^2 * (2A - B + 10.50 + V3)^2\)

Expanding and simplifying these equations, we get:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1)\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2)\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\\\)

Now, let's sum up these equations:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1) +\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2) +\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\int\limits^a_b {x} \, dx\)

Simplifying further, we obtain:

\(14A^2 + 31B^2 + 1113 + 14V1^2 + 33V2^2 + 14V3^2 + 14AB - 231A - 246B + 21V1 - 11.1V2 + 21V3 = 0\)

Now, we have a single equation with two unknowns, A and B. We can use various methods, such as substitution or elimination, to solve for A and B. Once the values of A and B are determined, we can substitute them back into the original equations to find the most probable values of A and B.

Matrix Approach:

We can rewrite the system of equations in matrix form as follows:

| 1 2 | | A | | 10.50 + V1 |

| 2 -3 | | B | = | 5.55 + V2 |

| 2 -1 | | -10.50 + V3 |

Let's denote the coefficient matrix as X, the variable matrix as Y, and the constant matrix as Z. Then the equation becomes:

X * Y = Z

To solve for Y, we can multiply both sides of the equation by the inverse of X:

X^(-1) * (X * Y) = X^(-1) * Z

Y = X^(-1) * Z

By calculating the inverse of X and multiplying it by Z, we can find the values of A and B.

Comparing Results:

The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

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Statistics are used to make estimates of population parameters. Therefore, the correct option is B.

Statistics are used for various purposes in data analysis. One important application of statistics is to make estimates of population parameters. Population parameters are characteristics or measures that describe an entire population. However, it is often impractical or impossible to collect data from the entire population, so statistics provide methods for estimating these parameters based on a sample of the population.

By collecting and analyzing data from a sample, statisticians can make inferences and draw conclusions about the larger population. These estimates help researchers understand the characteristics, patterns, and relationships within the population.

Additionally, statistics form the basis for analysis in many fields, including scientific research, business, social sciences, and more. They provide tools and techniques to summarize, interpret, and draw meaningful insights from data, enabling researchers and decision-makers to make informed choices and draw valid conclusions from their observations and experiments.

Therefore, the correct choice is option b. Statistics play a crucial role in estimating population parameters and providing insights for analysis and decision-making.

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Answer:

1.x=7,  2.x=7,  3.x=7,  4.x=1,  5.x=20,  6.x=9,  7.x=100,  8.x=9

Step-by-step explanation:

hope this helps :<)

Answer:

The answer is 3.

Step-by-step explanation:

The terminal-point P(x, y) on the unit circle for "t = 7π/6' is (-√3/2 , -1/2), and the labelled graph of "y = 3+cos(x)" is shown below.

We have to find the terminal-point for t = 7π/6.,

The angle is given to be 7π/6, which means in degree it's measure is 210 degrees, and since the circle is unit circle ,So, radius = 1

The value of x and y, for terminal-point can be calculated as:

x = r × cos(θ)  = 1 × cos(210°) = -√3/2,

y = r × sin(θ) = 1 × sin(210°) = -1/2,

So, the required terminal point will be = (-√3/2 , -1/2).

To sketch graph of function "y = 3+cos x",

We substitute the values, and plot them,

For x = -2π, we get y = 4, the point is (-2π, 4);

For x = -π, we get y = 2, the point is (-π, 2);

For x = 0, we get y = 4, the point is (0, 4);

For x = π, we get y = 2, the point is (π, 2);

For x = 2π, we get y = 4, the point is (2π, 4);

Therefore, the graph of these points is sketched below.

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The given question is incomplete, the complete question is

Find the terminal point P(x, y) on the unit circle determined by the given value of t. (Remember to show work to justify your answer.) t = 7π/6.

Sketch the graph of y = 3+cos x. Remember to label your axes carefully (with numbers) and to show the five points accurately.

∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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The nth formula of any mathematical expression represents the general formula for the given sequence or series.

Therefore, the nth formula is used to represents the mathematical sequence or series in standard form.

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Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

Independent and dependent variables are interdependent.

Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.

The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.

If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.

This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).

The unrelated factor

Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.

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Answer:

The sum of twelve and sixteen divided by the sum of three and four

\(\frac{12 + 16}{3 + 4}\)

Hope this helps!!!

Answer:

2. The answer should be the last one.

3. The answer should be the first three.

Step-by-step explanation:

Question 2

KE = (1/2)mv²

2KE = mv²

v² = 2KE/m

v = ±√(2KE/m)

Therefore the answer should be the last one.

Question 3

b^(1/2) * b^(5/2)

Remember that the product rule states that b^x * b^y = b^(x+y)

So this means b^(1/2) * b^(5/2) = b^(1/2+5/2) = b^(6/2) = b^3

Also remember that the power rule states that √b = b^(1/2)

so this means b^(6/2) can also be written as (√b)^6

Therefore the answer should be the first three.

If you want to double check all of your answers, just replace b with a number (for example, 2), and plug all of the choices into the calculator. Just make sure you are very careful when typing into the calculator.

Answer:

964 1/4m

Step-by-step explanation:

length x width x height

Answer:

964.25 is the volume

Step-by-step explanation:

To find the volume of a rectangular prism your going to do length times width times height.

Your length is 7 1/4m

Your height is 14m

Your width is 9 1/2m

So we are going to do 7 1/4 * 9 1/2 * 14

Which will give you 964.25

The exact duplication of elements on either side of a central axis is called symmetry. Symmetry refers to the property of an object or system where it exhibits a precise duplication of elements on either side of a central axis or plane.

This duplication can occur in various forms, such as shapes, patterns, or structures. Symmetry is a fundamental concept in mathematics, art, design, and science. It is often studied and utilized to create aesthetically pleasing compositions, identify patterns, and analyze the properties of objects.

Symmetry can be classified into different types, such as bilateral symmetry (reflectional symmetry) where the object is identical on both sides of a vertical axis, or radial symmetry where the object is identical around a central point.

The concept of symmetry plays a significant role in diverse fields, including geometry, biology, crystallography, and physics.

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Answer:

$250 + $23x

Step-by-step explanation:

One time set-up fee for jerseys = $250

cost of one jersey = $23

therefore, cost x jersey = cost of one jersey*x = 23x

Total cost for this deal will be sum of  One time set-up fee for jerseys and cost x jersey

Total cost = One time set-up fee for jerseys + cost x jersey

Total cost =  $250 + $23x

Expression represents the total cost of x number of jerseys for the team is  $250 + $23x.

True. In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

This is incomplete question

Complete question is this:

True or False​: In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

Answer in true or false.

Now, According to the question:

Let's know:

What is Probability Model?

A probability model is a mathematical representation of a random phenomenon. It is defined by its sample space, events within the sample space, and probabilities associated with each event. The sample space S for a probability model is the set of all possible outcomes.

Now, According to the above statement is:

Hence, True. In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

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True. In a probability model, the sum of all outcomes' probabilities must equal 1.

Probability Model

A probability model is a mathematical model that represents a random phenomenon. Its sample space, events within the sample space, and probabilities associated with each event define it. A probability model's sample space S is the set of all possible outcomes.

As a result, the statement given here is true. In a probability model, the sum of all outcomes' probabilities must equal 1.

One advantage of using an explicit mathematical model rather than simply applying a set of rules to probability situations is that the intuitive approach to probability has significant limitations when analysing tricky or sophisticated phenomen.

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(a) To determine the percent of total income received by the richest 20% of bankers, we need to calculate the area under the Lorenz curve for the corresponding 20% of the population.

To find this value, we integrate the function f(x) from 0 to 0.2. The integral of f(x) from 0 to 0.2 can be calculated as follows:

∫[0 to 0.2] (x + 1/10) dx = [(1/2)x^2 + (1/10)x] [0 to 0.2]

= [(1/2)(0.2)^2 + (1/10)(0.2)] - [(1/2)(0)^2 + (1/10)(0)]

= [(1/2)(0.04) + (1/10)(0.2)] - 0

= 0.02 + 0.02

= 0.04

Therefore, the richest 20% of bankers receive 0.04 or 4% of the total income.

(b) The Gini index is a measure of income inequality. It ranges from 0 to 1, where 0 represents perfect equality (every individual has the same income) and 1 represents maximum inequality (one individual has all the income).

To calculate the Gini index for f(x), we need to compute the area between the Lorenz curve f(x) and the line of perfect equality, which is the line connecting (0, 0) and (1, 1).

First, we calculate the area under the Lorenz curve f(x):

∫[0 to 1] (x + 1/10) dx = [(1/2)x^2 + (1/10)x] [0 to 1]

= [(1/2)(1)^2 + (1/10)(1)] - [(1/2)(0)^2 + (1/10)(0)]

= 1/2 + 1/10

= 6/10

= 0.6

Next, we calculate the area under the line of perfect equality, which is a triangle:

Area of the triangle = (1/2) * base * height = (1/2) * 1 * 1 = 1/2

The Gini index is given by the formula:

G = (A - B) / A

where A represents the area under the line of perfect equality, and B represents the area between the Lorenz curve and the line of perfect equality.

For f(x):

A = 1/2

B = 0.6

G = (1/2 - 0.6) / (1/2) = -0.2 / (1/2) = -0.4

The Gini index for f(x) is -0.4.

For g(x), the same steps can be followed to calculate the Gini index. However, the specific calculations are not provided in the given information.

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Answer:

4096

Step-by-step explanation:

Math

Answer:

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

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Answer:

120 degrees

Step-by-step explanation:

the measure of the angle is going to be 120 degrees due to it being one third of the circle. The angle turns through 1/3 of the entire shape, the shape is a circle, and a circle is made of 360 degrees. 1/3 of 360 is 120.

hope this helped

Answer:

20 square yards

Step-by-step explanation:

Area of workshop

= length * width

= 5 * 4

= 20 square yards