9. Two equations are shown below. Which of the
statements best explains the relationship between the
equations?
y = 3x
y=x+3
A. In y = x + 3, the value of y is 3 more than the value of
y = 3x.
B. In y = 3x, the value of y is 3 times the value of y in the
equation y = x +3
C. In y = 3x, the value of y is three times the value of x,
and in y = x + 3 the value of y is three less the value of x.
D. In y = 3x, the value of y is three times the value of x,
and in y = x + 3, the value of y is three more than the
value of x.

Answer:

   [tex]-2x^2-7x-15[/tex]

Step-by-step explanation:

To subtract 5x+5 from -2x^2-2x-10, you will need to combine like terms based on their coefficient.

Since you're not going to change the x^2 value, the -2x^2 remains the same.

Subtracting the x^1 values, you get -2x-5x = -7x.

Subtracting the x^0 values, you get -10-5 = -15.

[tex]-2x^2-7x-15[/tex]

In a dependent or independent t-test, there is only one independent variable being tested. So, the correct answer is a. 1.

T-tests are a type of statistical analysis used to compare the means of two groups and determine if there is a significant difference between them.

Dependent t-tests are used when the groups consist of paired or related samples, while independent t-tests are used when the groups consist of unrelated or independent samples.

In both cases, the analysis focuses on the relationship between the independent variable (e.g., a treatment or intervention) and the dependent variable (e.g., a measured outcome) for each group, but only one independent variable is tested at a time.

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The probability that the number of job applicants late for interviews is between 5 and 9 (inclusive) needs further information to be determined accurately.

To calculate the probability, we need to know the total number of job applicants and the distribution of lateness among them. Without this data, it is not possible to determine the exact probability of having a specific range of late applicants between 5 and 9, inclusive.

To accurately assess the probability, we would need information on the total number of applicants, the historical frequency of lateness, or the specific distribution of lateness across the range of interest. With this data, statistical methods such as probability distributions or empirical data analysis could be utilized to calculate the desired probability.

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There are 56,046 different three-course meals that can be ordered at Pizza House.To calculate the total number of different three-course meal combinations, we need to use the counting principle.

The counting principle states that if there are A ways to do one thing and B ways to do another, then there are A x B ways to do both.
In this case, we have:
- 22 ways to choose a salad
- 77 ways to choose a pizza
- 33 ways to choose a dessert

Applying the counting principle, we can calculate the total number of different three-course meals by multiplying the number of choices for each course:
22 (salads) x 77 (pizzas) x 33 (desserts) = 56,046 different three-course meals.
So, there are 56,046 different three-course meals.

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The subset from the corresponding vectors form would be {v1, v2, v3}.

RREF stands for Reduced Row Echelon Form, a procedure used to solve a system of linear equations.

In this problem, the matrix is being RREF'd with the equation av1 + bv2 + cv3 = 0, meaning that the matrix is a representation of the coefficients of a system of linear equations.

The process of RREFing the matrix will involve reducing the matrix to its simplest form, which will reduce the coefficients of the matrix to either 0 or 1.

This will enable us to identify the columns that contain the leading ones, which are the columns that are not zeroed out in the reduction process. The corresponding vectors form a subset, meaning that the vectors associated with the columns that contain the leading ones form a subset of the solution set of the system of linear equations.

Therefore, the subset from the corresponding vectors form would be {v1, v2, v3}.

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The required observations are:

Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

Given the observations are: 15, 19, 8, 12, 11, 19, 10, 13, 8, 12.

Arranging the values in ascending order we get:

8, 8, 10, 11, 12, 12, 13, 15, 19, 19

So the least value is = 8

Greatest value is = 19

Number of observations = 10

Median is,

Q2 = Average of (10/2)th and (10/2 + 1)th observations

Q2 = Average of 5th and 6th observations

Q2 = (12 + 12)/2

Q2 = 12

Now first half of the observations:

8, 8, 10, 11, 12

Number of observations in first half = 5

First Quartile is,  

Q1 = The ((5 + 1)/2) th observation = 3rd observation = 10

Now second half of the observations:

12, 13, 15, 19, 19

Number of observations in second half = 5

Third Quartile is,

Q3 = The ((5 + 1)/2) th observation = 3rd observation = 15

Hence, Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

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The angle formed by the triangle is

67.38 degrees

The angle is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The direction of movements describes a triangle which is bisected to form a right triangle of

opposite = 3 feet

adjacent = 2 feet

Half of the angle is calculated using tan, TOA

tan (1/2 given angle) = Opposite / Adjacent

tan (1/2 given angle) = 2 / 3

1/2 given angle = arc tan 2/3

1/2 given angle = 33.69

given angle = 67.38 degrees

where given angle is the angle formed by the triangle

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Victor has 2/3 pound of sugar left after baking cakes and cookies for the bake sale.

Victor uses 6/7 of the sugar to bake cakes, which means he has 1 - 6/7 = 1/7 of the sugar left. The amount of sugar left can be calculated as:

1/7 * 7 pounds = 1 pound

Now Victor uses 1/3 of the remaining 1 pound of sugar to bake cookies. The amount of sugar he uses to bake cookies is:

1/3 * 1 pound = 1/3 pound

Subtracting the amount of sugar used to bake cookies from the amount of sugar left, we get:

1 pound - 1/3 pound = 2/3 pound

Therefore, Victor has 2/3 pound of sugar left after baking cakes and cookies for the bake sale.

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Answer:

I'm sorry, the question is not clear. Can you please provide more context or rephrase the question?

Step-by-step explanation:

Answer:

Trust & Safety (T&S) became a vital component of technology companies as online platforms became more popular in the 21st century. Initially, T&S was concerned with advertising, fraud, and account verification. However, as platforms expanded, T&S also grew. As a result, T&S departments now concentrate on user safety and content moderation. These workers monitor activities, scanning for inappropriate behavior, harassment, scams, and security concerns in real-time. Trust & Safety personnel act as intermediaries between users, developers, and public policymakers, ensuring that solutions safeguard users while keeping functionality at the platform's core.

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer: 187.5 yards2

Step-by-step explanation:

how many square yards of rubber will be needed for this park? that means we have to find out the total area of this trapezoid.

Area of a Trapezoid (A) = (a +b)/2*h

Where: a = length of base 1 (20 yards)

b = length of base 2 ( 10 yards)

h = height of the trapezoid ( 12.5 yards)

* = times

/ = divided by

now plug in all the values in this formula to get the answer.

A = (20 yards + 10 yards)/2* 12.5 yards

= 30 yards/2 * 12.5 yards

= 15 yards * 12.5 yards

= 187.5 yards 2

The distribution of BMI in this dataset has a sample size of 442, a mean of 26.4, a standard deviation of 4.41, and a standard error of 0.21.

These statistics help us understand the central tendency and variability of the BMI values in the sample.

To describe the distribution of BMI (Body Mass Index) in this dataset, we can use the provided statistical terms:

sample size (n), mean, standard deviation, and standard error.

Sample size (n): n = 442, which means there are 442 individuals in the dataset.
Mean: The mean BMI is 26.4.

This is the average BMI value for the entire sample.
Standard deviation:

The standard deviation is 4.41, which tells us how spread out the BMI values are around the mean.

A higher standard deviation indicates greater variability in the data.
Standard Error:

The standard error is 0.21, which is an estimate of how much the sample mean (26.4) would vary if you were to take multiple random samples of the same size (442) from the same population.

A smaller standard error indicates that the sample mean is a more precise estimate of the population mean.

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Answer:

23.8

Step-by-step explanation:

According to the information, we can infer that around 94 cars passed the point at 9:15 a.m.

We can use linear regression to find the equation of the line of best fit for this data. The equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.

Using the formula for linear regression, we get:

where,

Plugging in the values from the table, we get:

So the equation of the line of best fit is:

To approximate the number of cars that passed the point at 9:15 a.m. (which is 105 minutes past 6:30 a.m.), we can plug in x = 105 into the equation and solve for y:

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Answer:

you multiply both quantities by 2 to get the final ratio i.e you multiply 2 by 2 to get 4 and 10 by 2 to get 20

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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The quadratic expression 10x² + 17x + 3 when divided by (5x + 1) gives 2x + 3.

Given quadratic expression is,

10x² + 17x + 3

We have to divide the polynomial with 5x + 1.

First let us factorize the given quadratic expression.

10x² + 17x + 3

Discriminant = 17² - (4 × 10 × 3) = 169

x = (-17 ± √169) / 20

x = (-17 ± 13) / 20

x = -4/20 and x = -30/20

x = -1/5 and x = -3/2

This can be factored as,

(x + 1/5) (x + 3/2)

(5x + 1) (2x + 3)

Hence the quotient is 2x + 3.

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The total volume of the given figure is: 209 cm³

The volume of a cuboid is:

V = L * W * H

Where:

L is length

W is width

H is height

Thus:

Total volume of composite figure = (3 * 6 * 4) + (5 * 9 * 3)

= 72 + 135

= 209 cm³

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Answer:

Rhombuses have 4 congruent sides like Squares

So divide the 72 inches by the number of sides

72/4

= 18

So each side should equal 18

9x = 18

x = 2

6y = 18

y = 3

3c = 18

c = 6

2 + 3 + 6

The value of x + y + c is 11

Step-by-step explanation:

The Cartesian product of A x B is {(d,f), (d,o), (d,x), (o,f), (o,o), (o,x), (g,f), (g,o), (g,x)}

The Cartesian product of two sets A and B is a set of all possible ordered pairs where the first element belongs to set A and the second element belongs to set B.

In this case, A = {d, o, g} and B = {f, o, x}. Therefore, the Cartesian product of A x B is {(d,f), (d,o), (d,x), (o,f), (o,o), (o,x), (g,f), (g,o), (g,x)}.

Similarly, the Cartesian product of B x A is {(f,d), (f,o), (f,g), (o,d), (o,o), (o,g), (x,d), (x,o), (x,g)}.

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Answer:

The best inequality that represents the possible weight of the blue block is "0 ≤ b ≤ 7".

Step-by-step explanation:

Let's call the weight of the blue block "b" in ounces. The total weight of both blocks is at most 16 ounces, so we can write the inequality:

9 + b ≤ 16

To solve for b, we can subtract 9 from both sides:

b ≤ 7

So the possible weight of the blue block is at most 7 ounces. We can write this as the inequality:

0 ≤ b ≤ 7

Therefore, the best inequality that represents the possible weight of the blue block is "0 ≤ b ≤ 7".

Rounding to the nearest tenth, the volume of the hydrogen gas in the bubble is approximately 268.1 cubic centimeters.

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

V = (4/3) * π * r^3,

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

In this case, the diameter of the bubble is given as 8 centimeters, which means the radius (r) is half of the diameter, so r = 8/2 = 4 centimeters.

Plugging the value of the radius into the volume formula:

V = (4/3) * π * (4^3)

= (4/3) * 3.14159 * (64)

≈ 268.08256 cubic centimeters.

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The system Ax = b has 2 free variables.

Given that A is a 5x7 matrix, and the transformation x → Ax is onto, we can determine the number of free variables in the system Ax = b.
Identify the dimensions of the matrix A:

A is a 5x7 matrix, which means it has 5 rows and 7 columns.
Determine the transformation type:

Since the transformation x → Ax is onto, it implies that every element in the codomain [tex](R^5)[/tex] has a corresponding element in the domain[tex](R^7)[/tex].

In other words, the system Ax = b has a solution for every b in [tex]R^5.[/tex]
Determine the rank of matrix A:

Since the transformation is onto, the rank of A must be equal to the number of rows in the codomain, which is 5.
Calculate the number of free variables:

The number of free variables is the difference between the total number of columns in A and the rank of A.

In this case, it's 7 columns minus 5 (the rank of A).
Number of free variables = 7 - 5 = 2.

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The smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.

Using a smaller unit of measurement helps find a more accurate measurement of an object’s length because it provides more precise details. For example, if you measure an object that is 10 inches long, using a ruler that measures in 1/4 inch increments would give you a more accurate measurement than a ruler that measures in 1 inch increments. The smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.

Therefore, the smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.

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The smallest 5 digit number is 30489 and the greatest 5 digit number is 98430.

The given digits are 8, 0, 9, 4 and 3.

Here, smallest 5-digit number is

30489

The greatest number is

98430

Therefore, the smallest 5 digit number is 30489 and the greatest 5 digit number is 98430.

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"Your question is incomplete, probably the complete question/missing part is:"

Build the smallest and the greatest numbers using the given digits only once.

5-digit number using 8, 0, 9, 4 and 3

After 2 seconds, the ball attains its maximum height of 8 feet.

We know that the ball's height can be modeled by a quadratic function, and that the function can be factored into the form f(t) = at(t - 4), where a is a constant.

Using the factored form of the quadratic function, we can see that the function has intercepts at t = 0 and t = 4.

At t = 0, the height of the ball is 0, since it starts at ground level.

At t = 4, the height of the ball is 0, since it reaches its maximum height and then falls back to the ground.

The factored form of the function tells us that the graph of the function is a parabola that opens upward, since the coefficient of the t² term is positive.

The maximum height of the ball occurs at the vertex of the parabola, which is located at the midpoint of the x-intercepts.

Therefore, the maximum height of the ball occurs when t = 2 seconds.

To find the maximum height, we can plug t = 2 into the quadratic function and evaluate:

f(2) = 2² + 2(2) = 8

Therefore, after 2 seconds, the ball attains its maximum height of 8 feet.

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Answer:since the guy above me answered horribly

Step-by-step explanation: