select all the polynomials that are equivalent to(x-3y+7z)^2

Answer:

1 crown and 1 coin

Step-by-step explanation:

1 crown =10 cents

1 coin = 25 cents

10 +25 = 35

Here is the complete equation using the provided values

6x+8=2x+24

6x-2x+8=2x-2x+24

4x+8=24

4x+8-8=24-8

4x=16

x=4

Factorization is the process of finding the factors of a given number or expression. A factor is a number or expression that divides the original number or expression without leaving a remainder. In other words, factorization is the process of expressing a number or expression as a product of its factors.

For example, the number 12 can be factored into 2 and 6, or into 3 and 4, because 2 and 3 are factors of 12 and their product gives 12. Similarly, the expression x^2 - 4 can be factored into (x+2)(x-2), because if we multiply (x+2) and (x-2), we get x^2 - 4.

Factoring is an important tool in algebra, as it allows us to simplify expressions, solve equations, and work with polynomials in a more efficient way.

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Answer:

Step-by-step explanation:

slope (m) =0

point =(x, y)

         =(3, -4)

equation:

(y-y1) =m(x-x1)

{y-(-4)} =0

y+4 =0

y =-4

Explanation:

as we know, the equation to find the slope of a line is (y-y1) =m(x-x1). here, it is given that the slope of the line (m) is 0 and it passes through points 3 and -4. therefore, we can conclude that equation (y) would be 0 by calculating.

The acceleration of this classroom table is equal to 1.5 meter per seconds square.

From Newton's Second Law of Motion, the force exerted on the classroom table is modeled or represented by this mathematical equation (formula):

F = ma

Where:

By making "acceleration" the subject of formula, we have the following:

Acceleration, a = force/mass

Acceleration, a = 36/24

Acceleration, a = 1.5 meter per seconds square.

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As a result, the value of x in the equation is zero. option b is correct no solution.

To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:

5/7 * (x + 2) - 3/7x = 2/7(x + 5)

5/7x + 10/7 - 3/7x = 2/7x + 10/7

Then, on each side of the equation, we'll combine like terms:

(5/7x - 3/7x - 2/7x) + 10/7 = 10/7

To simplify the coefficients even further, we have:

(10/7x) + 10/7 = 10/7

Subtraction of 10/7 from either side:

10/7x = 0

Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:

x = 0 * 7/10

x = 0

As a result, the value of x in the equation is zero. option b is correct no solution.

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Answer:

If a person weighs 150 pounds and their shoes weigh 10 pounds, then the person's weight in pounds is 150 x .10 = 15 pounds.

The statement "Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices." is true because a vertex selecting each group is equal.

An independent set in a graph is a set of vertices that do not share any edges.

The algorithm starts by having each vertex randomly assign itself to one of two groups. The processors then communicate with each other to identify vertices that belong to a group with no neighbors in the same group. These vertices are then marked as part of the MIS.

In each round of communication, the number of vertices in the MIS doubles. This means that the algorithm will converge in O(log n) parallel steps, where n is the number of vertices in the graph.

The complexity of the algorithm is therefore very efficient, and it can handle large graphs with many vertices.

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if the player in question scored 13.7 points per game with 4.1 free throw attempts per game, his performance is slightly below what the model predicts.

How to solve the question?

To compare the player's performance to what the model predicts, we need to know the factors that the model considers when making predictions. Depending on the complexity of the model, it may take into account a variety of factors, such as the player's position, age, height, weight, shooting percentage, and team performance.

Assuming that we have a relatively simple model that takes into account the player's shooting percentage and free throw attempts, we can make a rough estimate of how the player's performance compares to what the model predicts.

Let's say that the model predicts that a player with a shooting percentage of 50% and 4 free throw attempts per game would score an average of 15 points per game. If the player in question has a shooting percentage of 45%, we can adjust the prediction accordingly. Using a simple linear regression, we can estimate that the player's expected points per game would be:

Expected points per game = 15 - (50 - 45) * 0.2 = 14

So if the player in question scored 13.7 points per game with 4.1 free throw attempts per game, his performance is slightly below what the model predicts. However, it's important to note that this is just a rough estimate based on a simple model, and there may be many other factors that could affect the player's performance, such as injuries, fatigue, or changes in the team's strategy. Therefore, we should not rely solely on statistical models to evaluate a player's performance, but also consider other factors such as the player's overall contribution to the team and their ability to make key plays in crucial moments.

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Yes, it is possible for the range of a data set of positive data values to be less than the mean of that data set.

The range of a data set is the difference between the maximum and minimum values in the data set, while the mean (also known as the average) of a data set is the sum of all the values divided by the total number of values.

For example, consider the following data set of positive values: {2, 3, 5, 7, 9}. The range of this data set is 9 - 2 = 7, while the mean is (2 + 3 + 5 + 7 + 9)/5 = 26/5 = 5.2. In this case, the range (7) is less than the mean (5.2).

This can occur when the data set has a relatively small range, meaning that the difference between the maximum and minimum values is not very large compared to the mean.

the distribution of the data set and the specific values within it can affect the relationship between the range and the mean.

It's important to note that range and mean are just two measures of central tendency and variability, and other measures such as median, mode, and standard deviation can provide additional insights into the characteristics of a data set.

therefore, Yes, it is possible for the range of a data set of positive data values to be less than the mean of that data set.

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The expected length of a staff meeting is approximately 12.5 minutes.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To calculate the expected length of a staff meeting, we need to find the mean of the probability density function given.

The formula for finding the expected value or mean of a continuous random variable with probability density function f(x) is:

E(X) = ∫ x f(x) dx over the range of the variable

Using this formula, we can find the expected length of a staff meeting as follows:

E(X) = ∫ x f(x) dx over the range of the variable

  = ∫ 0 to 1 x [tex]5(x-0.5)^{5}[/tex] dx  (since the length of a meeting can't be negative)

  = 5 ∫ 0 to 1 x[tex](x-0.5)^{5}[/tex] dx

Now we can use integration by parts or substitution to solve the integral. For simplicity, we can use substitution, with u = x - 0.5 and du = dx:

E(X) = 5 ∫ -0.5 to 0.5[tex]5(x-0.5)(u)^{5}[/tex] du

= 5 ∫ -0.5 to 0.5 [tex](u^6 + 0.5u^5)[/tex] du

= 5 [(1/7)[tex]u^7\\[/tex] + (1/10)[tex]u^6[/tex]] evaluated at -0.5 and 0.5

= 5 [(1/7)[tex](0.5)^7[/tex] + (1/10)[tex](0.5)^6[/tex] - (1/7)[tex](-0.5)^7[/tex] - (1/10)[tex](-0.5)^7[/tex]]

≈ 0.2083 hours or 12.5 minutes

Therefore, the expected length of a staff meeting is approximately 12.5 minutes.

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Answer:

2

Step-by-step explanation:

45°-45°-90° triangles are Special Right Triangles. There are some super helpful shortcuts you can learn for a 45°-45°-90° triangle.

The two legs of the triangle are always the same. The longest side, the hypotenuse, is:

hypot = leg•sqrt2

The leg in your problem is sqrt2.

You are asked to find the hypotenuse, k.

hypot = leg•sqrt2

k = leg•sqrt2

k = sqrt2•sqrt2

k = 2

k is 2. Don't be sidetracked by the direction that says "Write your answer in simplest radical form". If there was a radical in your answer, we would simplify it, but there isn't...it's just plain 2.

Answer:

0.2 oz

Step-by-step explanation:

We Know

1g ≈ 0.035oz

5 gram = ? oz

We Take

0.035 x 5 ≈ 0.175 oz

So, 5 grams ≈ 0.2 oz

A result of 2 = 7 - = 7 - (-5) = 12 and = -5 is as follows as after combining similar terms , (2-μ)a + (u+1).

A vector seems to be an object in mathematics that also has scale (or length) and motion. Arrows can be used to graphically depict vectors, with the arrow's trajectory denoting the vector's magnitude and its length denoting its direction. In order to construct a new vector with the a different magnitude but the same direction, vectors can be multiplied by a scalar (a real number) or joined together to make a resultant vector (or the opposite direction if the scalar is negative).

given

First, we can make the given equation simpler:

(2-μ)a + (u+1)

b = 7a - (2+2)b

2a - a + ub + + + b = 7a - 2b - 2b

combining similar terms

(2-μ)a + (u+1)

b = 7a - 4b

We currently have two equations:

2 - μ = 7 (1)

u + 1 = -4 (2) (2)

Equation (2) provides us with:

u = -5

Equation (1) is amended as follows:

2 - μ = 7

μ = -5

A result of 2 = 7 - = 7 - (-5) = 12 and = -5 is as follows as after combining similar terms , (2-μ)a + (u+1).

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The complete question is:-  

The vectors a and b are not parallel and (2-μ)a + (u + 1)b = 7a-(2+2)b where λ and μ are scalars. Find the values of 2 and μ.

The statement that is true is:

The probability that a randomly selected player on Team C is 10 years old is 5/16.

Option A is the correct answer.

We have,

The probability that a randomly selected player on Team C is 10 years old.

= Number of 10 years old players in Team C / Total players in Team C

= 5./16

The probability that a randomly selected player on Team A is 8 years old.

= Number of 8 years old players in Team A / Total players in Team A

= 4/15

The probability that a randomly selected 8-year-old player is on Team C.

= Number of 8 years old players in Team C / Total  8 years old players

= 8/21

The probability that a randomly selected 10-year-old player is on Team B.

= Number of 10 years old players in Team C / Total 10 years old players

= 5/14

Thus,

The probability that a randomly selected player on Team C is 10 years old is 5/16.

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Answer:

24 points

Step-by-step explanation:

Maria scored a total of 6 points, and Suzanne scored 4 times as many.

something times as many, means to multiply, so 6 x 4=24 points total

According to the function, the 10th term of the sequence is 2.038.

We can now use the values of A1, A4, A2, and A3 to find the value of d. Substituting A2 and A3 into the expression for A4 - A3, we get:

A4 - A3 = d

2.86 - (A1 + 2d) = d

Solving for d, we get:

d = -0.12

Now that we know the common difference between consecutive terms, we can write the function rule for the nth term of the sequence as:

An = A1 + (n - 1)d

Substituting A1 = 3.1 and d = -0.12, we get:

An = 3.1 - 0.12(n - 1)

To find the 10th term of the sequence, we simply plug in n = 10 into the formula:

A10 = 3.1 - 0.12(10 - 1) = 2.038

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The first step is to determine the value for c. We know that the joint probability mass function must sum to 1 over all possible values of X and Y. So, we can write:

∑∑ [tex]f_{xy}[/tex](x,y) = 1

Substituting the given function [tex]f_{xy}[/tex](x,y) = c(x + y) for each combination of x and y, we have:

c(1+1) + c(1+2) + c(1+3) + c(2+1) + c(2+2) + c(2+3) + c(3+1) + c(3+2) + c(3+3) = 1

Simplifying this equation, we get:

12c = 1

Therefore, the value of c is 1/12

Now, we can use this value to calculate the covariance between X and Y. The covariance measures the degree to which two random variables vary together. It is defined as

cov(X,Y) = E[XY] - E[X]E[Y]

where E[XY] is the expected value of the product of X and Y, and E[X] and E[Y] are the expected values of X and Y, respectively.

To calculate E[XY], we use the joint probability mass function:

E[XY] = ∑∑ xy [tex]f_{xy}[/tex](x,y)

Substituting the given function [tex]f_{xy}[/tex](x,y) = c(x + y) for each combination of x and y, we have,

E[XY] = c(1+1) + 2c(1+2+2+3) + 3c(1+3+3+2)

Simplifying this equation, we get,

E[XY] = 28/12

To calculate E[X] and E[Y], we use the marginal probability mass functions:

fx(x) = ∑y [tex]f_{xy}[/tex](x,y)

fy(y) = ∑x [tex]f_{xy}[/tex](x,y)

Substituting the given function [tex]f_{xy}[/tex](x,y) = c(x + y) for each combination of x and y, we have:

fx₁ = 2c

fx₂ = 4c

fx₃ = 6c

fy₁ = 2c

fy₂ = 4c

fy₃= 6c

Using these marginal probability mass functions, we can calculate E[X] and E[Y]:

E[X] = ∑x x fx(x) = 2c + 8c + 18c = 28/12

E[Y] = ∑y y fy(y) = 2c + 8c + 18c = 28/12

Therefore, the covariance between X and Y is:

cov(X,Y) = E[XY] - E[X]E[Y] = 28/12 - (28/12)(28/12) = -4/144

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Katie's claim can be represented by the equation: a² ¢= 4(1/2ab) + b²

Katie's claim can be represented by the equation:

Outer square area = Sum of areas of four triangles + Inner square area or mathematically, a² = 4(1/2ab) + b²

where "a" and "b" are the lengths of the legs of the right triangle and "a²" represents the area of the outer square, while "b²" represents the area of the inner square.

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If Corey buys 27 inches of trim for a craft project, Corey bought 3/4 of a yard of trim for the craft project.

To determine what fraction of a yard Regina buys, we need to know how many inches are in a yard. There are 36 inches in a yard.

To convert 27 inches to yards, we need to divide by 36:

27 ÷ 36 = 0.75 yards

So Corey bought 0.75 yards of trim for the craft project.

To find the fraction of a yard, we need to express 0.75 as a fraction with a denominator of 1:

0.75 = 75/100 = 3/4

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Complete question is:

Corey buys 27 inches of trim for a craft project. What fraction of a yard does Regina buy?

Step-by-step explanation:

I don't know if so what we do this question but I kind of wish I can be with triangle don't ever stop and never ever disturb you

The complete sequence are 2, 3, 5, 8, 12, 17, 23, 30 38, 47, 1024, 512, 256, 128, 64 and 32.

Looking at the pattern, we can find the next two numbers in the sequence. All we need to do is notice that each term in the sequence is obtained by dividing the previous term by 2.

To get term after 128, we cam divide 128 by 2 which will give us:

= 128 / 2

= 64

To get term after 64, we divide 64 by 2 which give us:

= 64 / 2

= 32

Therefore, the last two numbers in the sequence are 64 and 32.

Full question: Find the last 2 numbers after the sequence of "2, 3, 5, 8, 12, 17, 23, 30 38, 47, 1024, 512, 256, 128, __ and ___.

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To find line segment AB, you'd have to use the principle of proportions. Thus, Line AB is 10.5.

To derive line segment AB,

6/4 = AB/7

To solve for AB, we can cross-multiply and simplify:

6/4 = AB/7

Multiply both sides by 7:

(6/4) * 7 = AB

Simplify:

10.5 = AB

Therefore, AB is equal to 10.5.

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angle 1 = 90-( angle 2 ) and angle 2 = 90-( angle 1) ( diagonal property of rectangle)

A diagonal of a rectangle divides it into two congruent right triangles. The diagonals of a rectangle are the same length.

If the diagonal of a rectangle diveds it into two congruent triangles, then triangle OST is congruent to Triangle QRT.

Therefore angle 1 = 90-angl2

represent angle 1 by x and angle 2 by y

therefore x = 90-y

and y = 90-x

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Answer: y = 3.75x + 2.50

Step-by-step explanation:

The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:

y = 3.75x + 2.50

Explanation:

Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:

The given information pertains to a sample of einsteinium-253, which naturally loses its mass over time. The initial mass of the sample was 15 grams when it was first measured. The relationship between the elapsed time in weeks, denoted by 't', and the mass of the sample in that week, denoted by 'Mweek(t)', is given by the function.

Mweek(t) = 15 * (0.79)^t.

The daily rate of change in the mass of the sample can be found by taking the derivative of the function with respect to time

Mweek'(t) = 15(0.79)^t ln(0.79)

To find the factor by which the mass decays every day, we can divide the mass at time t by the mass at time t+1.

Mweek(t) / Mweek(t+1) = (15(0.79)^t) / (15(0.79)^(t+1)) = 1/0.79

Therefore, every day, the mass of the sample decays by a factor of approximately 1.26 (rounded to two decimal places).

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the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.

How to solve the question?

In polar coordinates, a graph of a function passes through the origin if and only if the function's value at θ=0 is equal to zero. This is because the origin in polar coordinates represents the point (r=0, θ), where r is the distance from the origin and θ is the angle of the point with respect to the positive x-axis. When a function's value at θ=0 is equal to zero, it means that the point on the graph at θ=0 lies on the positive x-axis and has a distance of r=0 from the origin, which is the origin itself.

In contrast, a graph of a function in rectangular coordinates passes through the origin if and only if the function's value at (0,0) is equal to zero. This is because the origin in rectangular coordinates represents the point where the x and y axes intersect, and a point on the graph with coordinates (x,y) passes through the origin if and only if x=0 and y=0, which means the function's value at (0,0) is equal to zero.

In summary, the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.

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Answer: a) To count the number of one-to-one functions from the set {1, 2,...,n} to the set {0, 1}, we can use the formula for the number of permutations of n distinct objects, which is n!.

However, since we are only considering one-to-one functions, we can only choose 0 or 1 for the image of each element of the domain. The first element can be assigned 2 choices, the second can be assigned 1 of the remaining 2 choices, the third can be assigned 1 of the remaining 1 choice, and so on. Therefore, the number of one-to-one functions from {1, 2,...,n} to {0, 1} is:

2 × 1 × 1 × ... × 1 = 2^(n-1)

b) To count the number of functions that assign 0 to both 1 and n, we can treat the remaining elements {2, 3,...,n-1} as a new set and count the number of functions from this set to {0, 1}. This is the same problem as in part (a), but with n-2 elements instead of n. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 0 to both 1 and n is:

2^(n-3)

c) To count the number of functions that assign 1 to exactly one of the positive integers less than n, we can choose which element of the domain is assigned 1 in n ways. The remaining elements can be assigned 0 or 1 independently, for a total of 2^(n-1) choices. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 1 to exactly one of the positive integers less than n is:

n × 2^(n-1)

Step-by-step explanation: