how many solutions are there to the system of equations graphed below if the lines are parallel ?

Answer:

the first step would be to distribute the 9 to inside the parenthesis so it would look like 9x+18=90

Step-by-step explanation:

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let the number be x.

Answer:

Step-by-step explanation:

3k + 6 - 7k = 28

combine similar terms:

3k - 7k = 28 - 6

simplify:

-4k = 22

k = 22 / -4

k = -5.5

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Our car can do 26 miles with one gallon, so, if we have 12.5 gallons, to find how much we can travel we need to make the product of the amount of gallons we have by the amount of milles we can do with one gallon, wich gives us the expression:

So our car can travel 325 miles with 12.5 gallons of gas.

Step-by-step explanation:

yo that's actually really sick

In a coordinate system, a vector is oriented at an angle this statement is false.

In a coordinate system, vectors are typically represented by their components along the coordinate axis . These components determine the direction and magnitude of the vector. The orientation of a vector is determined by the angles it makes with the coordinate axis or by the direction cosines or direction angles that specify its direction in space.

The direction of a vector can be represented using angles, such as the azimuthal angle (horizontal angle) and inclination angle (vertical angle) in spherical coordinates or the angles of inclination from the positive x-axis and positive z-axis in cylindrical coordinates.

Therefore, it is incorrect to say that a vector is oriented at an angle in a coordinate system. The orientation of a vector is defined by its components or direction angles relative to the coordinate axis.

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True. In a coordinate system, a vector can be oriented at any angle with respect to the reference axis.

In a coordinate system, a vector can be oriented at any angle with respect to the reference axis. The angle at which a vector is oriented is measured with respect to a reference axis, usually the positive x-axis. This angle is typically measured in degrees or radians.

The orientation of a vector can be described using trigonometric functions such as sine, cosine, and tangent. These functions relate the angle of orientation to the coordinates of the vector in the coordinate system. For example, the x-coordinate of a vector can be determined using the cosine function, while the y-coordinate can be determined using the sine function.

The orientation of a vector can also be represented using direction angles. In two-dimensional space, the orientation of a vector can be described using a single angle. In three-dimensional space, the orientation of a vector can be described using direction angles, which are the angles between the vector and each of the coordinate axes.

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Answer:

b

Step-by-step explanation:

The answer to the function (f g)(x) = 3x - 5,  (f g)(6) = 13 and (f g)(6) = 13 contradicts this situation and could be a sign of a computation error.

a) To find (f g)(x), we need to first find the composition of f and g, which is f(g(x)). Substituting g(x) into f(x), we get:

f(g(x)) = 3(g(x)) + 10

= 3(x - 5) + 10

(substituting g(x) = x - 5)

= 3x - 15 + 10

= 3x - 5

Therefore, (f g)(x) = 3x - 5.

b) To evaluate (f g)(6), we simply substitute x = 6 into the expression we found in part a:

(f g)(6) = 3(6) - 5

= 18 - 5

= 13

Therefore, (f g)(6) = 13.

c) (f g)(6) represents the number of animals adopted in total by both shelters after 6 months. The function (f g)(x) takes the number of months as input, and outputs the total number of animals adopted by both shelters up to that point. In this case, after 6 months, Shelter 1 has adopted 3(6) + 10 = 28 animals, while Shelter 2 has adopted (6) - 5 = 1 animal. Therefore, the total number of animals adopted by both shelters after 6 months is 28 + 1 = 29. The result we obtained in part b, (f g)(6) = 13, is not consistent with this scenario and may indicate a calculation error.

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Answer:

messy... but hope it helps you.

A) the angles

Similar triangles are triangles that have the same shape but different sizes.

Angles

Since similar triangles have the same shape, all of the angles must be congruent. If any of the angles are different sizes, then the shape of the entire triangle would change.

Sides

The sides of a similar triangle are not necessarily congruent. However, because all of the angles are congruent, the sides are proportionate. This means that if you are given the sides and angles of one triangle, you can find the sides and angles of any similar triangle.

Recall that the discriminant of a quadratic equation:

is:

Also, if:

Now, notice that the discriminant of the given equation is:

Simplifying the above result we get:

Since 24>0, we get that the given equation has 2 different real roots.

Answer: The given equation has 2 different real roots.

The solution of the equation 4 = 13 – 3x is x = 3 which is the correct answer would be an option (B).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given an equation as

4 = 13 – 3x

Rearrange the terms non-variables and variables,

3x = 13 - 4

Apply the subtraction operation,

3x = 9

x = 9/3

Apply the division operation, and we get

x = 3

Therefore, the correct answer would be an option (B).

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The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.

To solve for the coefficients in the function g(x), we need to consider the conditions given:

g(x) = { 1, -1, -T ≤ x ≤ 0

{ 1, f(x + 2π) = g(x)

We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.

For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.

For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).

The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).

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The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.

If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.

If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.

However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.

Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.

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False. In a Two-Way 2 x 2 Between Subjects ANOVA, there are typically two independent variables, each with two levels, resulting in a total of four groups.

A Two-Way 2 x 2 Between Subjects ANOVA involves the analysis of variance with two independent variables, each having two levels. The independent variables can be thought of as factors, and their combinations create different groups for comparison.

In this design, there are two factors, each with two levels. When you multiply the number of levels for each factor (2 x 2), you get four possible combinations or groups. Each group represents a specific combination of the two levels of the independent variables.

For example, if the first independent variable is "A" with levels A1 and A2, and the second independent variable is "B" with levels B1 and B2, the four groups in the ANOVA would be: A1B1, A1B2, A2B1, and A2B2.

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Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

Answer:

a

Step-by-step explanation:

Answer:

Aa

Step-by-step explanation:

Answer:

Variable- n

Coefficients- -2 and -9

No exponent

No constant

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

the variable is n

the coefficient is -11

the exponent is 1

\( - 11n \\ {n}^{1} \)

the constant is 0

The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.

In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.

On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.

Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.

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A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

What is a combination of reflections?

Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.

Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.

One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.

This would take the hexagon from its original position to itself.

Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.

This would also take the hexagon from its original position to itself.

Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

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Answer:

See below.

Step-by-step explanation:

Just make a line that doesn't have a pattern like 2, 4, 6, 8 or like 6, 12, 18, 24.

99.9% sure just spamming the keyboard with random numbers will work.

Answer:

21 is A and 23 is D

Step-by-step explanation:

Although increasing the sample size can improve the accuracy of the estimate, there are some problems that may arise with very large samples.

The following are the problems that can occur:

Difficulty in obtaining a very large sample: It may be difficult to obtain a large sample that is representative of the population and has a low bias.

Cost of sampling: Collecting data from a very large sample can be time-consuming and expensive.

None of these: This is not a problem that can arise with very large samples.

Increase in standard error: As the sample size increases, the standard error of the estimate tends to decrease, but after a certain point, increasing the sample size further may not lead to a significant reduction in the standard error, and may even increase it due to other factors such as measurement errors or non-random sampling. This is called the "law of diminishing returns".

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All the given statements are false.

False. Margin requirements can vary for different commodities on the futures exchange. Each commodity may have its own specific margin requirements based on factors such as volatility, liquidity, and market conditions. Higher-risk commodities may require higher margin amounts to account for potential losses, while lower-risk commodities may have lower margin requirements.

False. When a trader closes their position, the funds in their margin account are not automatically returned to them. The funds in the margin account serve as collateral against potential losses. If the trader has made a profit on their position, they may receive the initial margin plus any profits earned. However, if the trader has incurred losses, the funds in the margin account may be used to cover those losses. The remaining funds, if any, are returned to the trader.

False. Margin accounts are required for both long (buy) and short (sell) positions in the futures market. When opening a position, whether it is a long or short position, traders are required to deposit a specific amount of margin into their margin account. This margin serves as collateral and helps ensure that traders have sufficient funds to cover potential losses. The margin requirement is determined by the exchange and can vary based on factors such as contract size, volatility, and market conditions.

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Answer:

1.3 only have one decimal point.so it stays the same

4.46 one have two decimal points so it also stays the same

Step-by-step explanation:

so a+B= 1.3+4.46

=5.76

From the recursive rule

\(a_n = a_{n-1}-13\)

it follows that

\(a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13\)

\(a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13\)

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

\(a_n = a_1 + (n-1)\times13\)

so that the explicit rule for the n-th term in the sequence is

\(a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}\)