The line representing the equation x plus y equal 3 is dilated by a scale factor of 2. 5, with the center of dilation open parentheses 3 comma space 0 close parentheses. Which statement is true?.

Answer:

x = 3.51

Step-by-step explanation:

Since, formula to determine the area f a triangle is,

Area = \(\frac{1}{2}(\text{Base})(\text{Height})\)

     8 = \(\frac{1}{2}(x + 1)(3x - 7)\)

16 = x(3x - 7) + 1(3x - 7)

16 = 3x² - 7x + 3x - 7

16 = 3x² - 4x - 7

0 = 3x² - 4x - 23

3x²- 4x - 23 = 0

By quadratic formula,

x = \(\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\)

x = \(\frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}\)

x = \(\frac{4\pm \sqrt{292}}{6}\)

x = \(\frac{4\pm 17.09}{6}\)

x = 3.51, -2.18

But the length of sides can't be negative.

Therefore, x = 3.51 will be the answer.

because

Step-by-step explanation:

the cube of 2 is 8 and the cube of 3 is 27 and when u take out the bracket the answer comes

\((64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}\)

6) The time required by James if he completes the work alone is 18 hours.

Time and work are concerned with the amount of time it takes a person or a group of people to complete a task and the effectiveness of the work performed by each of them. The fundamental idea behind Time and Work is comparable to the idea behind Proportionality, which is present in all arithmetic disciplines.

"How much work one person can complete in one day is what the term "work efficiency" refers to. For instance, someone can complete a task in two days. In other words, he may complete 50% of the work in a single day. His effectiveness will therefore be 50%.

Given that,

Monica is fencing a yard

Monica took 9 hours to fence the yard.

If she takes James help to fence the yard then she estimates that she can do it in 6 hours.

Now, we have to find how much time James requires if he work alone=?

Then,

(9x)/(9+x)=6

9x=54+6x

3x=54

x=18

So, the time required by James if he completes the work alone is 18 hours.

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Answer:

2023

Step-by-step explanation:

3 + 4x = y

y = 3 + 4(505)

y = 3 + 2020

y = 2023

The value of the expression is 30.

An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 50 ÷ 5 (5 – 3) + 5 ÷ 1/5

Solving by BODMAS rule,

50 ÷ 5 (5 – 3) + 5 ÷ 1/5

= 50×\(\frac{1}{5(5-3)}\)+5×5

= 50/10 + 25

= 5+25

= 30

Hence, the value of the expression is 30.

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Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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Answer:

The value of each book is 7  

The value of each music note is 6

Step-by-step explanation:

The first equation includes the sum of 3 books and 2 music notes, so 3b + 2m = 33.

The second equation includes the sum of 1 book and 3 music notes, so b + 3m = 25.

This is the system that represents the puzzle:

3b + 2m = 33

b + 3m = 25  

Solve the second equation for b, and then substitute the equivalent expression for b in the first equation.  The value of each music note is 6.

Then, Substitute the value of m into one of the original equations to find the value of b . The value of each book is 7.

The dimensions that maximize the area are, 96cm and 84cm.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Let the height of poster be h and breadth be b,

bh = 15630cm square........(1)

Height of the printed area=h-10-10 = h - 20

(decrement of 10 from top and bottom)

the breadth of the printed area b-6-6 = b-12

(decrement of 9 from both sides)

for maximum printed area:

A=(h-20)(b-12) should be maximum

\(A = (h - 20)(\frac{15360 }{h}-12)\)

From equation (1)  

\(A = 15360-12h-\frac{307200}{h} +240\)

A = 15600 - 12h - (307200/h)

differentiate with respect to h (it should be=0)

\(\frac{dA}{dh}= 0-12 + \frac{307200}{h^2}\)

\(12 = \frac{307200}{h} \\h = 160 cm\)

from equation (1),

\(bh = 15630cm^2\\b = 96cm\)

dimension of printed area,

= h - 20

= 160 - 20

= 140 cm

= b - 12

= 96 - 12

= 84 cm

Therefore, the dimensions that maximize the area are, 96cm and 84cm.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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(a) The transpose of matrix (G) is
(G)^T = (-4 6). The trace of a square matrix is the sum of the diagonal elements, so for this matrix, the trace is -4 + 6 = 2.

(b) The transpose of matrix (b) is (b)^T = (3 4 -1 7 -3 -8 10). The trace of this matrix is 3 + 7 + -8 = 2.

(c) The transpose of matrix (c) is (c)^T = (-2). Since this is not a square matrix, its trace is not defined.

(d) The transpose of matrix (d) is (d)^T = (2 -4 3 -5 6 6). The trace of this matrix is 2 + -5 + 6 = 3.

(e) The transpose of matrix (e) is (e)^T = (1 -2 -1 5 3 1 5). Since this is not a square matrix, its trace is not defined.

(f) The transpose of matrix (f) is (f)^T = (7 -4 0 1 6 -6). The trace of this matrix is 7 + 1 + -6 = 2.

(g) The transpose of matrix (g) is not given.

(h) The transpose of matrix (h) is (h)^T = (-3 6 -3). The trace of this matrix is -3 + 6 + -3 = 0.

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The transpose and the trace of each of the matrix are: (a) (-4, 3, -2, 2), (-6, -1, -4, -4), (4, 7, 3, 6), (-3, 10, -5, 6) ; 4.  (b) 3, -1, 4, 7, -3, 10, -8 ; 2.  (c) -2 ; -2.  (d) 2, -4, 3, 6, -5, 6 ; 14.  (e) (1, -2, 7, -3), (-1, 5, 0, 6), (3, 1, 1, -3), (5, -4, -6) ; 3.  (f) 7, 0, 1, -6, -4 ; 3.  (g) the transpose is not defined ; -3.  (h) -3, 6, -3 ; 0.  

The transpose of a matrix is a way of changing the orientation of the matrix by flipping its rows and columns. To transpose a matrix, each element of the original matrix is placed in a new position relative to its original location.

For matrix (a), the transpose is given by: (-4, 3, -2, 2), (-6, -1, -4, -4), (4, 7, 3, 6), (-3, 10, -5, 6).

For matrix (b), the transpose is given by: 3, -1, 4, 7, -3, 10, -8.

For matrix (c), the transpose is given by: -2.

For matrix (d), the transpose is given by: 2, -4, 3, 6, -5, 6.

For matrix (e), the transpose is given by: (1, -2, 7, -3), (-1, 5, 0, 6), (3, 1, 1, -3), (5, -4, -6).

For matrix (f), the transpose is given by: 7, 0, 1, -6, -4.

For matrix (g), the transpose is not defined, as there is only one element.

For matrix (h), the transpose is given by: -3, 6, -3.

If the matrix is square, we can calculate the trace of the matrix. The trace is the sum of the elements on the main diagonal, i.e. the elements in positions (1,1), (2,2), etc.

For matrix (a), the trace is given by: (-4) + 7 + (-5) + 6 = 4.

For matrix (b), the trace is given by: 3 + 7 + (-8) = 2.

For matrix (c), the trace is given by: -2.

For matrix (d), the trace is given by: 2 + 6 + 6 = 14.

For matrix (e), the trace is given by: 1 + 5 + (-3) = 3.

For matrix (f), the trace is given by: 7 + (-4) = 3.

For matrix (g), the trace is given by: -3.

For matrix (h), the trace is given by: -3 + 6 + (-3) = 0.

In summary, the transposes and traces of the matrices are given as follows:

Matrix (a): Transpose: (-4, 3, -2, 2), (-6, -1, -4, -4), (4, 7, 3, 6), (-3, 10, -5, 6); Trace: 4.

Matrix (b): Transpose: 3, -1, 4, 7, -3, 10, -8; Trace: 2.

Matrix (c): Transpose: -2; Trace: -2.

Matrix (d): Transpose: 2, -4, 3, 6, -5, 6; Trace: 14.

Matrix (e): Transpose: (1, -2, 7, -3), (-1, 5, 0, 6), (3, 1, 1, -3), (5, -4, -6); Trace: 3.

Matrix (f): Transpose: 7, 0, 1, -6, -4; Trace: 3.

Matrix (g): Transpose: -3; Trace: -3.

Matrix (h): Transpose: -3, 6, -3; Trace: 0.

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Slicing into eighths would earn more money.

To solve this problem, we need to compare the revenue generated by slicing each pizza into sixths and eighths.

Let's first find out how many slices each pizza would have:

Let's now find out the area of each slice:

Next, let's find out the price per square unit:

Now, we can calculate the revenue generated by slicing each pizza into sixths and eighths:

Therefore, if they sell all the slices, they would make more money by slicing each pizza into eighths. The difference in revenue between the two options would be ​$28.00 - ​$24.00 = ​$4.00 per pizza.

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Answer:

You have reached the concluding section of our information about (7/60)×π rad to deg.

7pi/60 rad = 21°.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.

Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.

If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.

Answer:210

Step-by-step explanation: took the test

The correct answer is "spines." Spines are the pointed edges of a droplet that radiate out from the spatter.

They can be useful in determining the direction of force applied to the droplet. When a droplet impacts a surface, it spreads out and creates elongated extensions or projections along its periphery, known as spines. By examining the shape and orientation of these spines, forensic analysts can infer the direction from which the force that caused the spatter originated.

The spines provide us with  valuable information about the trajectory and angle of impact, aiding in the investigation and analysis of the event.

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The value of sin (θ/2) in the trigonometry is π/9

Information given in the problem

tan θ = 7/8,

where

0 < θ <  π/2

solving for θ, from tan θ = 7/8

tan θ = 7/8

θ = arc tan (7/8)

θ = 0.7188 radians

soling for sin (θ/2)

= sin (θ/2)

= sin (0.7188/2)

= 0.3517 approximately π / 9

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The equation which is perpendicular to the equation of line passing through the points (-4, 7) (1, 3):

 y = 5/4x + 8.

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

To find the equation of a line that is perpendicular to another line, we need to know the slope of the original line.

The slope of the line passing through (-4,7) and (1,3) is:

m = (3 - 7) / (1 - (-4)) = -4/5

The slope of any line perpendicular to this line would be the negative reciprocal of -4/5, which is 5/4.

Therefore, the equation of a line that is perpendicular to the line passing through (-4,7) and (1,3) would be of the form:

y = 5/4 x + b

where b is the y-intercept.

Among the given options, the equation that matches this form is:

A. y = 5/4 x + 8

So the answer is (A) y = 5/4x + 8.

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Answer:

2.2 batters per average

Step-by-step explanation:

Victor: 4.6 batters per average

Marco: 2.4  batters per average

4.6  batters per average - 2.4  batters per average = 2.2  batters per average

Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.

The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.

Another important part of the ANOVA is the splitting of the independent variables into two or more groups.

The assumptions for the ANOVA test are the same as those for general parametric tests.

Advantages of ANOVA:

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Answer:

buss stop 2

Step-by-step explanation:

Answer:

6715.486347 or 6715.49

Step-by-step explanation:

6200(1+.04/12)^12x2

Answer:

60/600=.1

.1/5=.02=2% interest rate over 5 years

True -  the statement says that a basic variable corresponds to a pivot column in the coefficient matrix. From the definition of basic variables, basic variables correspond to the columns that have a leading 1's (pivot columns).

A mathematical system model based on the use of a linear operator is known as a "linear system" in systems theory. In contrast to nonlinear cases, linear systems often display considerably simpler traits and attributes.

In linear systems, the variables are really only multiplied with constants and then added together; they are never multiplied by each other. In order to express both static and dynamic relationships between variables, linear systems are used.

Something relating to a line is linear. To build a line, all of the linear equations are used. Any equation that doesn't result in a straight line is considered as non. It has a variable slope value and appears as a curve on a graph.

A linear system is one in which both the superposition and homogeneity principles hold true.

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Answer:

20×2=40bnmcsshjvghjpiutewqadgjlmbcz

Answer: all real numbers

Step-by-step explanation:

Option A is correct:

Population: Collection of all credit cards

Sample: Collection of the 1300 credit cards sampled

Option B is incorrect because it has the sample and population reversed.

Option C is incorrect because it states that the sample late fee is \($27.46\), which contradicts the information given in the question that the sample mean is\($25.75\) .

Option D is incorrect because it states that the sample late fee is \($27.46\), which contradicts the information given in the question that the sample mean is, and it also reverses the sample and population.

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it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.

If the standard deviation of the ages is zero, then all individuals in the sample must have the same age of 25 years old. This means that the sample is not diverse and may not be representative of the entire neighborhood's opinion on the political topic. Therefore, conclusions drawn from this sample may not accurately reflect the opinions of the entire population. It is important to ensure that the sample is diverse and representative to make valid conclusions about a sensitive political topic.
Based on the data you collected, which includes age, gender, and opinion on the local sensitive political topic, you calculated the average age to be 25 years old and the standard deviation of the ages to be zero years old. This means that all individuals in your neighborhood are exactly 25 years old. Since there is no variation in age, it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's see what's the domain and range for the given function ~

\(\qquad \tt \dashrightarrow \:domain \in [ -5 , 4 ] \)

or

\(\qquad \tt \dashrightarrow \: - 5 \leqslant x \leqslant 4\)

Because domain = all values of x between its maximum (4) and minimum (-5) value [ including them ]

\(\qquad \tt \dashrightarrow \:range \in[ -4 , 9 ]\)

or

\(\qquad \tt \dashrightarrow \: - 4 \leqslant y \leqslant 9\)

Because range = all values of y between its maximum (9) and minimum (-4) value [ including them ]

\(\huge\textsf{Hey there!}\)

\(\huge\boxed{\mathsf{\sqrt{121} = x^2}}\)

\(\huge\boxed{\mathsf{x^2 = \sqrt{121}}}\)

\(\large\boxed{\large\boxed{\bullet\rm{ \ TAKE \ your \ SQUARE \ ROOT}}}\)

\(\huge\boxed{\mathsf{x = \pm \sqrt{121}}}\)

\(\large\boxed{\large\boxed{\bullet\ \rm{The \ symbol\ \boxed{\pm}\ means \ plus \ or \ minus, so \ that \ means}}}\\\large\boxed{\boxed{\rm{either \ the \ result \ will \ be \ \underline{\underline{positive}} \ or \ \underline{\underline{negative}}}}}}}\large\checkmark\)

\(\huge\boxed{\mathsf{\sqrt{121} = -\sqrt{121}}}\)

\(\huge\boxed{\sqrt{121} = \bf 11}\)

\(\huge\boxed{\mathsf{-\sqrt{121} = \bf -11}}\)

\(\huge\boxed{\text{Therefore, your answer is: \textsf{x = -11 or x = 11}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

~\(\frak{Amphitrite1040:)}\)

The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

We can observe that was added 5 units to the x, that is, a negative translation through the horizontal axis. So, our function is located at x = -5, because a horizontal translation to the left is when we add to the x certain units.

Then, we observe that the function subtracted 6 units to the vertical variable, that is, the function is translated 6 units downside.

Therefore, our functions is locate in (-5;-6), it starts there, which is the vertex.

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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Answer: $13.65 per ticket

Step-by-step explanation:

54.6/4