80=-a^2-2abi+b^2+8a+8bi

The correct answer is: Construct a scatter plot.The first step in simple regression analysis is to construct a scatter plot.

A scatter plot is a graphical representation of the relationship between two variables, often referred to as the independent variable (X) and the dependent variable (Y).

The scatter plot allows us to visually examine the pattern of the data points and determine whether there is a linear relationship between the variables.

After constructing the scatter plot, we can analyze the pattern and determine if there is a linear trend.

If a linear trend is observed, we can then proceed with building the regression model, finding the slope (also known as the regression coefficient), and assessing the unexplained variation (also known as the residual variation).

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(5(12-2)2+7)/3

(5(10)2+7)/3

(50(2)+7)/3

(100+7)/3

107/3

35.66666...

Answer:

See below.

Step-by-step explanation:

In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.

speed = distance/time

Now we solve it for time. Multiply both sides  by time and divide both sides by speed.

speed * time = distance

time = distance/speed

Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.

1) speed = 44.1 km/h; distance = 150 km

time = distance/speed = 150 km/(44.1 km/h) =

= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes

2) speed = 120 km/h; distance = 90 km

time = distance/speed = 90 km/(120 km/h) =

= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes

3) speed = 125 m/s; distance = 500 m

time = distance/speed = 500 m/(125 m/s) =

= 4 seconds

Answer:

x+y=0 and

3x-2y=10

Step-by-step explanation:

x+y=0——equation 1

3x-2y=10——equation 2

Above are the equations

Step-by-step explanation:

option D 120 is the correct answer of this question .

plz mark my answer as brainlist .Hope this will be helpful to you .

Answer:

In total she works 21 hours and for the equation its gn=g+n

Step-by-step explanation:

got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works

Answer:

The answer is C

Step-by-step explanation:

Area of a parallelogram= bh

b- base

h- height

y in your problem would be the base and h would be the height

-5x - 5 = 3x + 19

---Move the x's to one side

-5x - 3x - 5 = 3x - 3x + 19

-8x - 5 = 19

---Isolate the -8x by removing the -5 from the left side

-8x - 5 + 5 = 19 + 5

-8x = 24

---Divide both sides by -8 to get x by itself

x = -3

Hope this helps!

-5x-5= 3x+19

= > -5x-3x= 19+5

= > -8x= 24

= >-x=24/8

= >x= -3

The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Step-by-step explanation:

ans...9days.......,........

the answer is A

but im not 100 percent sure

Answer:

5 quartz would make the most sense, hope this helps

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

so slope = 2-(-1)/0-(-6)

=3/6=1/2

y=mx+b

plugging in the second group of cordinates.

2=1/2(0)+b

b=2

y=1/2x+2

Answer:

y=0.5x+2

Step-by-step explanation:

y=mx+c

change in y over change in x

2+1/0+6 = 0.5

m=0.5

2=0.5×0+c

2=c

y=0.5x+2

Using function concepts, we have that:

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

For this problem, the volume is a function of time, hence Volume = f(Time) and:

The decay rate is constant, meaning that we have a decreasing linear function, and graph H fits this problem.

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To find the critical point of the function f(x, y) subject to the constraint g(x, y) = c, we need to solve these equations simultaneously.

Suppose we have a function f(x, y) that we want to minimize or maximize subject to a constraint g(x, y) = c, where c is a constant. We can use the method of Lagrange multipliers to find the critical point of the function f(x, y) subject to the constraint g(x, y) = c.

The Lagrange equations are a set of equations that we can use to find the critical point of the function. The Lagrange equations are given by:

∂f/∂x = λ * ∂g/∂x

∂f/∂y = λ * ∂g/∂y

g(x, y) = c

where λ is the Lagrange multiplier.

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As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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Answer:

  12.6 inches

Step-by-step explanation:

You want the increase in each dimension necessary to make a 6" by 10" frame have an area that is 7 times as much.

The area of the original frame is ...

  A = LW

  A = (10 in)(6 in) = 60 in²

If each dimension is increased by x inches, the new area will be ...

  A = (x +10)(x +6) = x² +16x +60 . . . . . square inches

We want this to be 7 times the area of 60 square inches:

  x² +16x +60 = 7(60)

Subtracting 60, we get ...

  x² +16x = 360

Completing the square, we have ...

  x² +16x +64 = 424 . . . . . . . add 64

  (x +8)² = ±2√106 ≈ ±20.6

  x = 12.6 . . . . . . . . subtract 8; use only the positive solution

Each dimension must be increased by 12.6 inches to make the area 7 times as large.

Answer:

\(x=(b-a)^{3}\)

Step-by-step explanation:

Answer:

x = b³ - 3b²a + 3a²b - a³

Step-by-step explanation:

Given:

\(\sqrt[3]{x} + a = b\)

To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.

Subtract "a" both sides to isolate ∛x:

\(\implies \sqrt[3]{x} + a - a = b - a\)

\(\implies \sqrt[3]{x} = b - a\)

Cube both sides to remove the cube root on the L.H.S:

\(\implies (\sqrt[3]{x})^{3} = (b - a)^{3}\)

\(\implies x= (b - a)^{3}\)

Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³

\(\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}\)

\(\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}\)

Thus, the value of x is b³ - 3b²a + 3a²b - a³.

the variable is given in the question x=11 and y=13.

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

(9x + 21)° = (11x-1)° as both the lies are parallel.

2x = 22

x=11

So 11x-1 + 5y-5 = 180

121-1+5y-5=180

5y = 180 -121+6

y =65/5 =13

Hence the variable is given in the question x=11 and y=13.

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Answer:

125=50+25n

Step-by-step explanation:

The inverse of the given matrix does not exist. To determine if the inverse of a matrix exists, we need to check if the matrix is invertible, which is equivalent to checking if the matrix has a nonzero determinant.

The given matrix is a 2x2 matrix with elements 4, 5, 7, and 9. To calculate the determinant, we multiply the diagonal elements and subtract the product of the off-diagonal elements. In this case, the determinant is (4 * 9) - (5 * 7) = 36 - 35 = 1. Since the determinant is nonzero, we conclude that the matrix is invertible. However, to find the inverse of the matrix, we need to calculate the matrix of cofactors, transpose it, and divide by the determinant.

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The answer using scientific notation is simplified expression is \(4.0*10^{-5}\)

What is expression?

Expressiοns in math are mathematical statements that have a minimum οf twο terms cοntaining numbers οr variables, οr bοth, cοnnected by an οperatοr in between. The mathematical οperatοrs can be οf additiοn, subtractiοn, multiplicatiοn, οr divisiοn.

Fοr example, x + y is an expressiοn, where x and y are terms having an additiοn οperatοr in between. In math, there are twο types οf expressiοns, numerical expressiοns - that cοntain οnly numbers; and algebraic expressiοns- that cοntain bοth numbers and variables.

\((5 \times 10^2)^-2\) can be simplified as:

\(=(5 \times 10^2)^{-2} \\\\= 1/(5 * 10^2)^2 \\\\= 1/(5^2 * 10^4) \\\\= 1/25000\\\\ = 4 * 10^{-5}\)

Therefore, the simplified expression is \(4.0*10^{-5}\)

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Answer:

C is correct

Step-by-step explanation:

Answer: 3/4 * 1/2 = 3/8 = 0.375

hope this helpes

\( = \frac{3}{4} \times 8 \frac{1}{2} \\ \)

\( = \frac{3}{4} \times \frac{8 \times 2 + 1}{2} \\ \)

\( = \frac{3}{4} \times \frac{17}{2} \\ \)

\( = \frac{51}{8} \\ \)

Answer :

Breadth = 30 m

area of the rectangle = 2700 m²

Explanation :

⋆Given :

↦Perimeter = 240 m

↦Length = 90 m

i) Breadth

Solution :-

↬ Perimeter of a rectangle = 2 ( l + b )

↬ 240 = 2(90 + b)

↬ 240 = 180 + 2b

↬ 240 - 180 = 2b

↬ \( \frac{60}{2} \) = b

↬ 30m = b

(ii) Area of a rectangle

Solution :-

↬ Area of a rectangle = l × b

↬ Area of a rectangle = 90 m × 30 m

↬ Area of a rectangle = 2700 m²

Answer:

98 yd²

Step-by-step explanation:

From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.

The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd

The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:

a² + a² = 14²

2a² = 196

a² = 98

a = √98 = 7√2

The length of the side of the triangle = a = 7√2 yd

The area of the rectangle = length × length = 7√2 × 7√2  = 98 yd²