What value of x is in the solution set of the inequality 9(2x 1) < 9x – 18? –4 –3 –2 –1

The ratio 8 out of 12 can be simplified to 2 out of 3.

To simplify a ratio, we need to find the greatest common factor (GCF) of the two numbers in the ratio and divide both numbers by it. In this case, the GCF of 8 and 12 is 4, so we can divide both by 4 to get 2 and 3. Therefore, the simplified ratio is 2 out of 3.

Simplified ratios are useful for making comparisons and solving problems involving proportions. They also make it easier to see the relationship between the two quantities being compared.

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Answer:

tens of thousand vs hundred

Step-by-step explanation:

Answer:

Metal

Step-by-step explanation:

Answer: C

Step-by-step explanation:

1. Since triangle ABC and DEF are congruent, the value of x is -3

2. length AB = 24

length DE = 24

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Since triangle ABC is congruent to triangle DEF , then we can say that line AB is equal to line DE

therefore;

12- 4x = 15-3x

collect like terms

12 -15 = -3x +4x

x = -3

therefore the value of x is -3 and

AB = 12 - 4x

AB = 12 -4( -3)

AB = 12 +12 = 24

DE = 15-3x

= 15-3(-3)

= 15 + 9

= 24

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Answer:

1. second option

2. Second option

3. Less than or equal too

4. w+2.3>18

I'm good at inequalities so all of these should be right

This is the desired 4x4 matrix that produces the translation by the vector (4,-6,-3) using homogeneous coordinates.

To find the 4x4 matrix that produces a translation by the vector (4,-6,-3) using homogeneous coordinates, we start with the identity matrix:

[1 0 0 0]
[0 1 0 0]
[0 0 1 0]
[0 0 0 1]

We then replace the last column with the translation vector in homogeneous coordinates, which is [4, -6, -3, 1]:

[1 0 0 4]
[0 1 0 -6]
[0 0 1 -3]
[0 0 0 1]

This is the desired 4x4 matrix that produces the translation by the vector (4,-6,-3) using homogeneous coordinates.

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Answer:

108b^2

Step-by-step explanation:

(-6)(-18)=108

(b)(b)=b^2

108b^2

Describe how Jason can check his answer

The equation that was given in the question is:

\( - 8.5 \times - 3.5 \times = - 78\)

Also,the value of x given is 6.5

Therefore, we'll put the value of x back into the equation and this will be:

\( - 8.5 \times - 3.5 \times = - 78 \\ - 8.5(6.5) - 3.5(6.5) \\ - 55.25 + - 22.75 \\ = - 78\)

Therefore, the answer is correct

(a). The dimension of the column space of A is 2.

(b). The dimension of the column space of U is 3.

(c). The dimension of the row space of A is 2.

(d). The dimension of row space of A is 2.

(a) The column space of A is the span of the columns of A. To find a basis for the column space of A, we perform row reductions on A to obtain its reduced row echelon form R:

R = \(\left[\begin{array}{ccc}1&0&-1\0&1&1\0&0&0\end{array}\right]\)

The first two columns of A are the pivot columns of R, which means that they form a basis for the column space of A. Therefore, the dimension of the column space of A is 2.

(b) The column space of U is the span of the columns of U. Since U is already in reduced row echelon form, the nonzero columns of U form a basis for its column space. Therefore, the dimension of the column space of U is 3.

(c) The row space of A is the span of the rows of A. To find a basis for the row space of A, we perform row reductions on A to obtain its reduced row echelon form R:

R = \(\left[\begin{array}{ccc}1&1&0\0&2&1\0&0&0\end{array}\right]\)

The first two rows of R are the pivot rows of R, which means that they form a basis for the row space of A. Therefore, the dimension of the row space of A is 2.

(d) The row space of U is the span of the rows of U. Since U is already in reduced row echelon form, the nonzero rows of U form a basis for its row space. However, since U has a row of zeros, its row space is one-dimensional.

Therefore, the dimension of the row space of U is 1.

The two spaces that are the same are the column space of A and the row space of A, which both have dimension 2.

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Answer

660in²

Step-by-step explanation:

B1=30

B2=36

h=20

1/2*20(30+36)

1/2*20(66)

10(66)

660in²

Of the choices, the best definition for a circle is:

OA. the set of all points in a plane that are the same distance from each other surrounding a given point called the center

Some key points in this definition:

1) It refers to a set of points, indicating it is a geometric shape.

2) The points are in a plane, showing it is a 2D shape.

3) The points have the same distance from each other, indicating they lie on a curve.

4) There is a given center point, showing the points surround the center point.

5) The points surround the center point, indicating it is a closed shape.

So choice OA captures all these key aspects in defining a circle. The other choices are too vague or incomplete.

(a) The probability distribution of the number of machines not running, and the mean of this distribution is 0.899.

(b)The expected fraction of time that the repair technician will be busy is 88.9% of the time.  

(a) Let X be the number of machines not running. At that point, X can take on values 0, 1, 2, 3, or 4. We will discover the likelihood conveyance of X as takes after:

P(X = 0) = P(all machines are running) = \(e^(-84)^4\)/4! = 0.302

P(X = 1) = P(one machine isn't running) = (4)(\(e^(-84)^3\)/3!) = 0.393

P(X = 2) = P(two machines are not running) = (6)(\(e^(-84)^2\)/2!) = 0.236

P(X = 3) = P(three machines are not running) = (4)(\(e^(-84)^1\)/1!) = 0.067

P(X = 4) = P(all machines are not running) = \(e^(-8*4)^0\)/0! = 0.002

The cruel(mean)  of this dispersion is E(X) = (0)(0.302) + (1)(0.393) + (2)(0.236) + (3)(0.067) + (4)(0.002) = 0.899.

(b) Let Y be the division of time that the repair specialist is active. At that point, Y can be communicated as

Y = T/(T + R),

where T is the full time that machines are not running

and R is the entire time that went through on repairs.

We know that

T has an Erlang dispersion with parameters

n = 4 and λ = 1/8 (since the running time of each machine has exponential dissemination with cruel 8 hours).

Subsequently, the anticipated esteem of T is E(T) = n/λ = 32 hours.

Additionally, R has an exponential dispersion with cruel 4 hours,

so E(R) = 4 hours. In this way, we have:

E(Y) = E(T/(T + R))

= E(T)/E(T + R)

= 32/(32 + 4)

= 0.889.

In this manner, ready to anticipate the repair professional to be active around 88.9% of the time. 

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Answer:

1,6,2 and 5

Step-by-step explanation:

(2x/5)² . (1x⁴/4)^-1

=(2²x²/5²) . (4/x⁴)

=4x²/25 × 4/x⁴

= 16/25x²

According to the distributive property:

\( \alpha ( \beta + \gamma ) = \alpha \beta + \alpha \gamma \)

So, applying this to our equation:

\(7(x + 3y) = 7 \times x + 7 \times 3y \\ 7(x + 3y) = 7x + 21y\)

Answer:

false

Step-by-step explanation:

-5 is farther away from zero than -2 is :)

Answer:

false

Step-by-step explanation:

Answer:

Reflexive property of congruence.

Step-by-step explanation:

Answer:

reflective property

Step-by-step explanation:

jfjdjdjdjdjfjfjfjfuud

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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To evaluate the function f(x) = 3x + 8 for a specific value of x, we can substitute the value into the function and perform the necessary calculations. In this case, when evaluating f(-4), we substitute -4 into the function to find the corresponding output. The result is f(-4) = 3(-4) + 8 = -12 + 8 = -4.



The function f(x) = 3x + 8 represents a linear equation in the form of y = mx + b, where m is the coefficient of x (in this case, 3) and b is the y-intercept (in this case, 8). To evaluate f(-4), we substitute -4 for x in the function and calculate the result.

Replacing x with -4 in the function, we have f(-4) = 3(-4) + 8. First, we multiply -4 by 3, which gives us -12. Then, we add 8 to -12 to get the final result of -4. Therefore, f(-4) = -4. This means that when x is -4, the function f(x) evaluates to -4.

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Answer:

p = 15

Step-by-step explanation:

Step 1: Original Expression

\(\frac{p - 9}{3} = 2\\\)

Step 2: Multiply both sides by 3 to remove the denominator

\(p - 9 = 6\)

Step 3: Add 9 to both sides to isolate the variable

p = 15

A 99% confidence interval for the average number of free throws in practice is; CI = (211.25, 238.75)

A confidence interval is defined as the mean of your estimate plus and minus the variation in that estimate. Thus, the formula for confidence interval is;

CI = x' ± z(s/√n)

where;

x' is sample mean

s is standard deviation

n is sample size

z is z-score at confidence level

Now, z-score at confidence level of 99% is; z = 2.576

We are given;

x' = 225

Sample size; n = 43

Standard deviation; s = 35

Thus;

CI = 225 ± 2.576(35/√43)

CI = 225 ± 13.75

CI = (225 - 13.75), (225 + 13.75)

CI = (211.25, 238.75)

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Answer:

y=x+2

Step-by-step explanation:

slope intercept form y=mx+b

m=slope

b= y intercept

to find slope we use y2-y1/x2-x1

-1-3/-3-1

-4/-4

1 is the slope so we can put that into the equation

y=x and to find find y intercept we fill in the equation with the coordinates

3=1

We need to add 2 to make this true so the y intercept is 2

The equation becomes

y=x+2

Hopes this helps please mark brainliest

The solution for W(x,s) can then be inverse Laplace transformed to obtain the solution for w(x,t).

What is partial differential equation?

A partial differential equation (PDE) is an equation that involves partial derivatives of a multivariable function. It relates the function, its partial derivatives, and the independent variables. PDEs are used to describe various phenomena in physics, engineering, and other scientific fields, where the variables of interest depend on multiple independent variables. Solving PDEs involves finding a function that satisfies the equation and any given boundary or initial conditions.

To solve the partial differential equation \(∂w/∂t + ∂w/∂x = 0 \\\)with the initial conditions \(w(x,0) = x^2\) and w(0,t) = 5 using Laplace transform, we need to apply the Laplace transform operator to both sides of the equation and then solve for the transformed function.

Let's denote the Laplace transform of the function w(x,t) as W(x,s), where s is the complex frequency variable. Applying the Laplace transform to both sides of the equation, we get:

\(sW(x,s) - w(x,0) + ∂W(x,s)/∂x = 0\)

Using the initial condition \(w(x,0) = x^2\), we have:

\(sW(x,s) - x^2 + ∂W(x,s)/∂x = 0\)

Now, let's apply the Laplace transform to the boundary condition w(0,t) = 5:

W(0,s) = 5

We now have a transformed equation with the transformed function W(x,s) and transformed boundary condition W(0,s). To solve for W(x,s), we can integrate the equation with respect to x and solve the resulting ordinary differential equation. The solution for W(x,s) can then be inverse Laplace transformed to obtain the solution for w(x,t).

Please note that the specific solution depends on the domain and boundary conditions. Additional information or constraints may be required to determine a unique solution.

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Complete Question:

To solve the partial differential equation

∂w/∂t = a^2 ∂^2w/∂x^2

with the initial condition

w(x,0) = f(x)

and w(0,t) = 5 using Laplace transform, we need to apply the Laplace transform operator to both sides of the equation and then solve for the transformed function

The finance charge is $3,723.20, which is closest to option A, $3,719.20.

The total amount of financing that your friend needed for the new sports car was:

$32,000 purchase price - $6,000 trade-in value = $26,000

Your friend financed $26,000 at 6.76% APR over 48 months, with a monthly payment of $619.15.

We can use the monthly payment and the APR to calculate the finance charge over the 48-month period. The finance charge is the difference between the total amount paid (48 months x $619.15 = $29,723.20) and the original amount financed ($26,000).

Finance charge = Total amount paid - Original amount financed

= $29,723.20 - $26,000

= $3,723.20

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The box plot is complete because it displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.​

Due to the fact that it shows a five-number summary of a collection of data, the box plot is finished. Minimum, first quartile, median, third quartile, and maximum are the five numbers that make up the summary.

The boxplot visually displays the minimum, lower quartile, median, upper quartile, and maximum of five sample data. The plot's box is a rectangle with ends at each quartile, enclosing the middle half of the sample. The sample's interquartile range is therefore represented by the box's length. The box's second dimension does not specifically symbolize anything.

The sample median is used to draw a line through the box. From the box's two ends, whiskers grow until they reach the sample's maximum and minimum. The crossbar at each whisker's extreme end is optional, and its length has no significance. The next diagram compares a boxplot of the same data with a dot-plot of a sample of 20 observations (actual sample values used in the display).

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Answer:

Should be x/9

Step-by-step explanation:

The inverse of the function is F' ( x ) = x/9

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as F ( x )

Now , the value of F ( x ) is

F ( x ) = 9x  be equation (1)

Now , let the inverse of the function be represented as F' ( x )

where , the values of y are interchanged with x

So , the equation is

y = 9x

when x in interchanged ,

x = 9y

On solving for y , we get

Divide by 9 on both sides , we get

y = x / 9

So , the inverse of the function is F' ( x ) = x/9

Hence , the inverse of the function is F' ( x ) = x/9

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The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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