is y= 3/2x linear or nonlinear

Answer: -18

Step-by-step explanation:

3 x -6 = 18

Answer:

3(6-) = 18-

Step-by-step explanation:

Hoare triples can be defined as a way of proving the correctness of programs through a method that uses assertions. Here, the following Hoare triples are verified.

3.1 {x = y} if (x

= 0) then x :

= y + 1 else z :

= y + 1 {(x

= y + 1) ⋁ (z

= x + 1)}Hoare triple can be written as follows: Precondition {x = y} is given where x and y are variables.If statement is used with the condition x

=0. Therefore, the following Hoare triple is obtained:{x

=y and x

=0}->{x

=y+1}.The first condition x

=y is maintained if the if-statement is false. The second condition x

=y+1 will hold if the if-statement is true. The or operator represents this with (x

=y+1)⋁(z

=x+1). 3.2 {{y > 4} if (z > 1) then y:

= y + z else y:

= y − 1 endif {y > 3}} Hoare triple can be written as follows: Precondition {y>4} is given where y is a variable.If statement is used with the condition z>1. Therefore, the following Hoare triple is obtained:{y>4 and z>1}->{y>3}.The first condition y>4 is maintained if the if-statement is false.

The second condition y>3 will hold if the if-statement is true. 3.3 {3 ≤ |x| ≤ 4} if x < 0 then y := -x else y := x endif {2 ≤ y ≤ 4}Hoare triple can be written as follows: Precondition {3≤|x|≤4} is given where x and y are variables. If statement is used with the condition x<0. Therefore, the following Hoare triple is obtained:{3≤|x|≤4 and x<0}->{2≤y≤4}.If the condition is false, y=x and the precondition is satisfied because |x| is either 3 or 4. If the condition is true, y=-x and the precondition is still satisfied. The resulting range of y is [2, 4] because the absolute value of x is between 3 and 4.

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Answer:

31 Supreme tires were sold.

Step-by-step explanation:

Cost of one Supreme tire = $45

Cost of one Prestige tire = $56

Total sales = $2008

Let x represent quantity of supreme tyre

Let y represent quantity of Prestige tyre

So, the equation will be:

\(45x+56y=2008\)

11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.

So, we are given y= 11 and we need to find value of x using above equation

\(45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31\)

So, 31 Supreme tires were sold.

The quotient m when  is divided by 11 equals 1 with a remainder of 3.

Here are the squares of the integers in the range 1 to 10, along with their remainders when divided by 11:

1²= 1 (remainder 1)

2² = 4 (remainder 4)

3² = 9 (remainder 9)

4² = 16 (remainder 5)

5² = 25 (remainder 9)

6² = 36 (remainder 4)

7² = 49 (remainder 1)

8² = 64 (remainder 9)

9² = 81 (remainder 9)

10² = 100 (remainder 4)

We can see that there are 3 distinct results: 1, 4, and 9. The sum of these distinct results is 1 + 4 + 9 = 14.

The quotient of m divided by 11 is 14 divided by 11 = 1 with a remainder of 3.

Therefore, the answer is that m divided by 11 equals 1 with a remainder of 3.

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Complete Question :

Square each integer n in the range 1 ≤ n ≤ 10 and find the remainders when the squares are divided by 11. Add up all the distinct results and call it m. What is the quotient m when  is divided by 11?

The area of the region between the curves y = x^2 and y = x^3 is 1/12 sq units. The correct answer is option a.

To find the area of the region between the curves y = x^2 and y = x^3, we need to integrate the difference between the two curves with respect to x from the point where they intersect.

First, we need to find where the curves intersect by setting them equal to each other:
x^2 = x^3
x^3 - x^2 = 0
x^2(x-1) = 0
x = 0 or x = 1

So the curves intersect at x = 0 and x = 1.

Now, we can set up the integral to find the area between the curves:
A = ∫[0,1] (x^3 - x^2) dx

Evaluating the integral, we get:
A = [x^4/4 - x^3/3] from 0 to 1
A = (1/4 - 1/3) - (0 - 0)
A = 1/12 sq units

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The area of the cross section in the triangular prism at 8 feet is also 45.5 square feet.

To find the area of the cross section in the triangular prism at 8 feet, we'll use the given information about the rectangular prism.

We know that the rectangular prism has a height of 12 feet and that the cross section at 8 feet has an area of 45.5 square feet.

Since the triangular prism shares the same parallel planes as the rectangular prism, the cross section at 8 feet will have the same area in both prisms.

Therefore, the area of the cross section in the triangular prism at 8 feet is also 45.5 square feet.

Hence, the correct answer is: 45.5 square feet.

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The information given regarding the hair products, a styling cream and a mousse shows that it's not double bind.

The subjects in a single-blind study are not made aware of the research treatment, if any, they are receiving. In a double-blind study, the researchers and participants are both unaware of the treatment allocation.

Due to the fact that neither the participant nor the researcher are aware of who has got what therapy, double-blind trials are regarded as the most credible type of research. This is done in an effort to lessen bias and the placebo effect.

It should be noted that in this case, one group was assigned to use the styling cream for the next two weeks and the other group was assigned to use the mousse.

Both groups should have been given same product to illustrate the double bind in the experiment.

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Answer:

2 ounces

Step-by-step explanation:

1 = 5/8 - 1/4 = 1/8

16 x 1/8 = 2 oz

Answer:

2 ounces left

Step-by-step explanation:

if anna ate 5/8 of the box, and Bill has eaten 1/4 of the box, then in total they’ve eaten 7/8 if the box (1/4 turns into 2/8 + 5/8)

1/8 of the box is left and 1/8 of 16 is 2. so 2 ounces would be left

Answer:

384.8 cubic inches.

Step-by-step explanation:

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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To find the partial derivatives of the function f(x, y) = 2x² + y² + 2xy + 4x + 2y, we need to differentiate the function with respect to each variable while treating the other variable as a constant. fₓ = 4x + 2y + 4 fᵧ = 2y + 2x + 2 fₓᵧ = 2

Let's start by finding the partial derivative with respect to x, denoted as fₓ or ∂f/∂x: fₓ = ∂f/∂x = 4x + 2y + 4 To find the partial derivative with respect to y, denoted as fᵧ or ∂f/∂y: fᵧ = ∂f/∂y = 2y + 2x + 2

Finally, let's find the mixed derivative with respect to x and y, denoted as fₓᵧ or ∂²f/∂x∂y: fₓᵧ = ∂²f/∂x∂y = 2

The partial derivatives give us information about the rate of change of the function with respect to each variable. The first-order partial derivatives (fₓ and fᵧ) indicate how the function changes as we vary only one variable while keeping the other constant.

The mixed partial derivative (fₓᵧ) indicates how the rate of change of the function with respect to one variable is affected by the other variable. To summarize: fₓ = 4x + 2y + 4 fᵧ = 2y + 2x + 2 fₓᵧ = 2

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The partial derivatives of the function f(x, y) = 2x² + y² + 2xy + 4x + 2yfₓ = 4x + 2y + 4 fᵧ = 2y + 2x + 2 fₓᵧ = 2.

Here, we have,

To find the partial derivatives of the function

f(x, y) = 2x² + y² + 2xy + 4x + 2y,

we need to differentiate the function with respect to each variable while treating the other variable as a constant.

fₓ = 4x + 2y + 4 fᵧ = 2y + 2x + 2 fₓᵧ = 2

Let's start by finding the partial derivative with respect to x, denoted as fₓ or ∂f/∂x: fₓ = ∂f/∂x = 4x + 2y + 4

To find the partial derivative with respect to y, denoted as fᵧ or ∂f/∂y:

fᵧ = ∂f/∂y = 2y + 2x + 2

Finally, let's find the mixed derivative with respect to x and y, denoted as fₓᵧ or ∂²f/∂x∂y: fₓᵧ = ∂²f/∂x∂y = 2

The partial derivatives give us information about the rate of change of the function with respect to each variable. The first-order partial derivatives (fₓ and fᵧ) indicate how the function changes as we vary only one variable while keeping the other constant.

The mixed partial derivative (fₓᵧ) indicates how the rate of change of the function with respect to one variable is affected by the other variable. To summarize: fₓ = 4x + 2y + 4 fᵧ = 2y + 2x + 2 fₓᵧ = 2

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The triangle formed by cities A, B, and C is an obtuse triangle.

To determine the type of triangle formed, we can analyze the lengths of the sides. According to the given information, the distance between city A and city B is 22 miles, between city B and city C is 54 miles, and between city A and city C is 51 miles.

Using the triangle inequality theorem, we find that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. However, in this case, 22 + 54 = 76, which is less than 51. Therefore, the triangle violates the triangle inequality, indicating that it is an obtuse triangle.

An obtuse triangle is a triangle where one of the angles measures greater than 90 degrees. In this scenario, the angle formed at city C is the obtuse angle.

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The probability of getting a sum of 9 or higher when rolling two dice is 10/36, which can be simplified to 5/18 or approximately 0.2778.

For the probability that the sum of two fair six-sided dice is 9 or higher, we need to determine the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes when rolling two dice is given by 6 * 6 = 36, as each die has 6 possible outcomes.

Now, let's determine the number of favorable outcomes. We need to find the combinations of numbers on the two dice that result in a sum of 9 or higher.

The possible combinations for a sum of 9 are (3, 6), (4, 5), (5, 4), and (6, 3), which gives us 4 favorable outcomes.

The possible combinations for a sum of 10 are (4, 6), (5, 5), and (6, 4), which gives us 3 favorable outcomes.

The possible combinations for a sum of 11 are (5, 6) and (6, 5), which gives us 2 favorable outcomes.

Finally, the possible combination for a sum of 12 is (6, 6), which gives us 1 favorable outcome.

Adding up the favorable outcomes, we have 4 + 3 + 2 + 1 = 10.

Therefore, the probability of getting a sum of 9 or higher when rolling two dice is 10/36, which can be simplified to 5/18 or approximately 0.2778.

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The inequality comparing -2 and -9 using mathematical symbols is:
-2 > -9

To explain how the number line can be used to show that this inequality is correct, consider the following:
A number line represents numbers in a linear order, with positive numbers to the right and negative numbers to the left of zero. In this case, we are comparing two negative numbers, -2 and -9.
On the number line, -9 is located to the left of -2, meaning it is further from zero than -2. Since numbers become smaller as we move to the left, -9 is smaller than -2. This is why the inequality -2 > -9 holds true.
In conclusion, using the number line to compare -2 and -9 shows that -2 is greater than -9, as it is closer to zero. Therefore, the inequality -2 > -9 is correct.

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True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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Answer:

d= all the x values

r=all the y values

Step-by-step explanation:

Answer:   16

============================================

Explanation:

The full expanded expression is 4x^2-16x+16

Which you can get through these steps

(2x-4)^2

(2x-4)(2x-4)

y(2x-4) ...... let y = 2x-4

2xy - 4y

2x( y ) - 4( y )

2x( 2x-4) - 4( 2x-4 ) .... plug in y = 2x-4

4x^2 - 8x - 8x + 16

4x^2 - 16x + 16

The question is an illustration of expansion and factorization.

The last term of the expression is 16.

We have:

\((2x - 4)^2\)

Expand

\((2x - 4)^2 = (2x - 4) \times (2x - 4)\)

Further expand

\((2x - 4)^2 = 2x(2x - 4) - 4(2x - 4)\)

Open brackets

\((2x - 4)^2 = 4x^2 - 8x - 48x + 16\)

\((2x - 4)^2 = 4x^2 - 56x + 16\)

Hence, the last term of the expression is 16.

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Answer:

28 dollars

Step-by-step explanation:

A shirt cost 25

a sweater Is 3 ”more”

so shirt= 25+ x        Sweater: 28

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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a7ah7unaunauaunaa7au a7una8na8un

Answer:

y = 4x - 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 7 ← is in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation of the parallel line

to find c substitute (3, 1 ) into the partial equation

1 = 12 + c ⇒ c = 1 - 12 = - 11

y = 4x - 11 ← equation of parallel line

In the parallel line measure of angle \(m\angle 7\) is 32°.

In a plane, two lines are said to be parallel if they never cross at any point. A pair of lines that never cross paths and do not have a common junction point are said to be parallel. Parallel lines are represented by the symbol "||".

Here we know that If two lines which are parallel are intersected by a transversal then the pair of corresponding angles are equal.

Then,

=> \(m\angle3= m\angle10\)

Here the given \(m\angle3=58\textdegree\) the \(m\angle10=58\textdegree\).

Now we know that sum of all angles in straight line is 180°.Then,

=> \(m\angle6+m\angle7+m\angle10=180\textdegree\)

=> \(90\textdegree+m\angle7+58\textdegree=180\textdegree\)

=> \(m\angle7=180\textdegree-90\textdegree-58\textdegree=32\textdegree\)

Hence the measure of \(m\angle 7\) is 32°.

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Answer:

1.) 81

2.) 1/4

3.) 2.25

Step-by-step explanation:

divide in half then square it

Answer:

wut

Step-by-step explanation:

dat dont like like english

The given equations are as follows

\(\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}\)

(1) First, multiply both sides of equation A by 4, we have

\(4\times\left(\frac{x}{4} +1\right)=4\times(-3)\)

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

\(4\times\frac{x}{4}+4\times1=4(-3)\)

\(\Rightarrow x+4=-12\)

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Answer:

The value of x is 10.

3x+15=5x-5

3x=5x-5-15

3x=5x-20

3x-5x=(-20)

(-2x)=(-20)

x=10

The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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We can add the two integrals to get the total distance traveled:

≈ 1,262.63 meters (rounded to two decimal.

To find the total distance traveled by the referee, we need to integrate the absolute value of the velocity function over the given time interval.

distance = ∫\([2,6] |v(t)| dt\)

The absolute value of the velocity function is given by:

\(|v(t)| = |4t^6 cos(2t+5)|\)

So, we have:

\(distance = ∫[2,6] |4t^6 cos(2t+5)| dt\)

We can simplify this integral by using the fact that the absolute value of a product is the product of the absolute values:

\(distance = ∫[2,6] 4t^6 |cos(2t+5)| dt\)

Next, we split the integral into two parts, depending on whether the argument of the cosine function is positive or negative:

distance = \(∫[2,6] 4t^6 cos(2t+5) dt + ∫[2,6] 4t^6 cos(-2t-5) dt\)

Simplifying the second integral using the identity cos(-x) = cos(x), we get:

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Answer:

x = 20

Step-by-step explanation:

These 2 angles are supplementary so they add up to 180:

3x - 10 + 5x + 30 = 180

8x + 20 = 180

8x = 160

x = 20