mean(s) that teachers model strategies step-by-step and explicitly demonstrate the process of thinking before, during, and after one reads.

If your data contradict your hypothesis, it is by no means a failure.

Data that can be measured or gathered using some benchmark objectives, according to your experimental needs. According to the needs of your experiment, the data produced using this method should either be qualitative or quantitative.

Information not obtained through the random selection of study participants or as part of a controlled experiment. In social science research, non-experimental data are frequently employed, especially when collecting experimental data would be prohibitively expensive or immoral. Non-experimental data require more analysis and interpretation than experimental data since the researcher cannot control which people are placed in the treatment and control groups. Nonexperimental data examples include administrative files, test results, and survey data. As well, they are referred to as observational data.

If your data contradict your hypothesis, it is by no means a failure; in fact, it could be more intriguing since you might discover a fresh way to view the facts. In science, it's usual for theories to be wrong, and new investigations frequently begin as a result.

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4y - 56 is the equivalent expression for 8(1/2y - 7)​​

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).

Given: 8(1/2y - 7)​​

In order to write an equivalent expression, clear the parenthesis:

8(1/2y - 7)​​ = 8(1/2y ) -  8(7)

                = 4y - 56

Therefore, the equivalent expression for 8(1/2y - 7)​​ is 4y - 56

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The number of degrees of freedom we should use is 14 for makin95% confidence interval.

Degrees of freedom of an estimate is the number of independent pieces of information that went into calculating the estimate. It’s not quite the same as the number of items in the sample. In order to get the df for the estimate, you have to subtract 1 from the number of items.

Degree of freedom of sample size of n : n -1

When we don't have any idea about population standard deviation,

and also, the sample size is less than 30 .

We use t-distribution to calculated the statistics.

According to the question,

We are making a 95% confidence interval

The sample is 15 (<30) . So , we have to adjust and use a t-value instead of a Z score in order to account for the smaller sample size and using the sample SD.  

Note that the t-value depends on the degrees of freedom (df) as a reflection of sample size. When using the t-distribution to compute a confidence interval, df = n-1.

So , making 95% confidence interval for population mean from sample size 15 , we need degree of freedom of 14

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The results for several randomly selected employees are given below [tex]Y = 11.7 + 1.02x.[/tex]

Below, we will discover the road equation, dissociation for each the management's conduct and fulfillment.

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By Changing the order of integral we can find five iterated integral that are equal to [tex]\int\limits^2_0 \int\limits^2_y \int\limits^y_0 {f(x,y,z)}\, dz dx dy[/tex]

Changing the order of integral means switching the dx dy order of integration into dy dx .

According to the question ,

The given integral is

=> [tex]\int\limits^2_0 \int\limits^2_y \int\limits^y_0 {f(x,y,z)}\, dz dx dy[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, y≤ x ≤ 2, 0 ≤ y ≤ 2

(a) Changing the order of integral from dzdxdy to dzdydx

When y= 0 => x = y

and y = 2 => x = 2

[tex]\int\limits^2_0\int\limits^x_0 \int\limits^y_0 {f(x, y ,z )} \, dz dy dx[/tex]

(b) Now , changing the order of integral from dzdxdy to dxdzdy

When x = 0 => z = 0

x = 2 => z =  y

[tex]\int\limits^2_0\int\limits^y_0 \int\limits^2_y {f(x, y ,z )} \, dx dz dy[/tex]

(c) Now ,Changing the order of integral from dzdxdy to dxdydz

[tex]\int\limits^2_0\int\limits^2_z \int\limits^2_y {f(x, y ,z )} \, dxdydz[/tex]

(d) Now ,Changing the order of integral from dzdxdy to dydzdx

[tex]\int\limits^2_0\int\limits^x_0 \int\limits^x_z {f(x, y ,z )} \, dydzdx[/tex]

(e) Now ,Changing the order of integral from dzdxdy to dydxdxz

[tex]\int\limits^2_0\int\limits^2_0 \int\limits^x_0 {f(x, y ,z )} \, dydxdz[/tex]

Are the five iterated integral that are equal to the    integral         [tex]\int\limits^2_0 \int\limits^2_y \int\limits^y_0 {f(x,y,z)}\, dz dx dy[/tex].

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The energy that an object has as a result of being in a gravitational field is known as gravitational potential energy. It may be expressed as,

U = mgh

Where, m is the object's mass, g is its gravitational field, and h is its height.

The body has a weight of 2 kg and a height of 60 cm. the gravitational potential energy is as follows:

U₁ = 60× 2×g

U₁ = 120kg

The body has a weight of 1 kg and a height of 60 cm. the gravitational potential energy is as follows:

U₂ = 60× 1×g

U₂ = 60g

A body that weighs 4 kg and measures 30 cm in height. the gravitational potential energy is as follows,

U₃ = 4 ×30× g

U₃ = 120g

A body that weighs 3 kg and measures 45 cm in height. the gravitational potential energy is as follows,

U₄ = 3×45×g

U₄ = 135g

The body  has a weight of 2 kg and a height of 30 cm. the gravitational potential energy is as follows,

U₅= 2×30× g

U₅ = 60g

A body that weighs 8 kg and measures 15 cm in height. the gravitational potential energy is as follows,

U₆ = 8 ×15×g

U₆ = 120g

Consequently, the initial gravitational potential energy of the specified pendulum has the following rank:

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Answer:

[tex]\frac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The first three terms are 3,16,39 and the 10th term is 480.

What is Arithmetic progression?

now,

t₁ = 5(1)² - 2(1)

t₁ = 5 - 2

t₁ = 3

t₂ = 5(2)² - 2(2)

t₂ = 5(4) - 4

t₂ = 16

d = t₂ - t₁

d = 16 - 3

d = 13

t₃ = 5(3)² - 2(3)

t₃ = 45 - 6

t₃ = 39

t₁₀ = 5(10)² - 2(10)

= 500 - 20

t₁₀ = 480

Hence, the first three terms are 3,16,39 and the 10th term is 480.

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Geological timeline is based on the presence of fossils on the rocks of various sequences, and also the classification of rock types and the correlation of rocks of different locations.

The purpose that geological timeline serve and reason scientist do make it, is portray the history of the Earth.

Therefore, geologic time scale serves as events as regards Earth history.

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The classification of rock types, the correlation of rocks from diverse locations, and the presence of fossils on the rocks of distinct sequences are all used to create the geological timeline.

Geological timelines have a purpose, and scientists create them in order to depict Earth's history.

(A) The relationship between geological strata and events based on chronological time can be shown using a geological timeline.

(B) The scientist can use this information to investigate events and their frequency and determine whether there is a possibility that a specific event will occur again.

(C) A sun eclipse, which often happens at some point in time, could serve as an illustration of this occurrence.

(D) Rocks and fossils that depict Earth's past can be found thanks to the geologic time scale.

(E) As a result, the geologic time scale provides information about historical events on Earth.

Therefore, the classification of rock types, the correlation of rocks from diverse locations, and the presence of fossils on the rocks of distinct sequences are all used to create the geological timeline.

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Example of  linear inequalities; y ≤ x – 1 and y < –2x + 1

A combination of linear inequality equations with the same variables is referred to as a system of linear inequalities.

There are five inequality symbols used to represent equations of inequality.

These are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠). Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.

Example of  linear inequalities;

Graph the following system of linear inequalities:

y ≤ x – 1 and y < –2x + 1

Graph the first inequality y ≤ x − 1.

We will draw a solid border and shade below the line due to the "less than or equal to" mark.

On the same x-y axis, graph the second inequality, y -2x + 1.

In this instance, the less-than symbol will cause our boundaries to be dashed or dotted. Under the border, cast a shade.

As a result, the darker-colored zone extending indefinitely downward is the solution to this inequality problem, as seen below.

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The rate at which the distance between the runner and second base changes is 28.71 ft/s.

Given, a batter hits the ball and runs toward first base at a speed of 28 ft/s. we have to find the rate (in ft/s) at which the distance between the runner and second base change when the runner has run 20 ft.

As, distance = speed × time

d = st

On differentiating both the sides

d' = s't + s

d' = 20/28 + 28

d' = 0.71 + 28

d' = 28.71

Hence, the rate at which the distance between the runner and second base changes is 28.71 ft/s.

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Hence, the property is based on addition property,

OG=NQ and GE=UY,

so OG +GE=NQ +UY.

When the same amount is added to both sides of an equation, the equation does not change, according to the addition property of equality. A = B remains valid even if a number x is added to both sides of the equation. It can be mathematically stated as A + x = B + x.

As demonstrated below

OG=NQ and GE=UY,

so OG +GE=NQ +UY

So this property leads to addition property.

So the correct option regarding this,

Addition property.

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The y-intercept of the given parabola is y = -12.

What is the y-intercept for the parabola?

A graph's y-intercept is the point at which the graph crosses the y -axis. (Because a function must pass the vertical line test, it can only have one y-intercept.) The y-intercept is frequently referred to simply as the y -value.

On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

The given equation of the parabola is

                        y = x² - x - 12

To find the y-intercept of the given parabola we have to put x = 0 in the above equation, we get

                       y = (0)² - 0 - 12

                      y = -12

Hence, the y-intercept of the given parabola is y = -12.

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By usinf Divison method and Prime Factorization, the factors of the polynomial are x=1,2,2

A polynomial is an expression made up of variables, constants, and exponents that is combined using mathematical operations such as addition, subtraction, multiplication, and division.

cubic polynomial = x³ - 5x² + 8x - 4

suppose  x = 1 ,

x - 1 = 0

So, one of the factor = (x - 1)

Now,

By Division method

x³ - 5x² + 8x - 4 = Dividend

 x - 1 = Divisor

x² - 4x + 4 = Quotient

Now for x² - 4x + 4

x² - 2x- 2x + 4

(x-2)(x-2)

x=2,2

so, factors are x=1,2,2

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If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26([tex]\sqrt{640}[/tex]) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8   ,    q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6   ,    q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24  ,  q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

         = (8)(8) + (6)(0) + 24(24)

         = 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = [tex]\sqrt{ < p,p > }[/tex]

     = [tex]\sqrt{8(8) + 6(6) + 24(24)}[/tex]

     = [tex]\sqrt{676}[/tex]

||p|| = 26

and

||q|| = [tex]\sqrt{ < q,q > }[/tex]

      =[tex]\sqrt{8(8) + 0(0) + 24(24)}[/tex]

||q||  =[tex]\sqrt{640}[/tex]

∴||p||||q|| = 26([tex]\sqrt{640\\[/tex])

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹[tex]\frac{ < p,q > }{||p||||q||}[/tex]

      = cos ⁻¹ [tex]\frac{640}{26(\sqrt{640}) }[/tex]

      = cos ⁻¹ [tex]\frac{4\sqrt{10} }{13}[/tex]

  α  = 13.34°

In radian

α = 0.233.

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This expression (9+10) is a numerical expression. And this is not a variable expression.

An expression made up only of numbers and operations is termed as numerical expression. While an expression written with a variable in it, is termed as variable expression. But this Both expression, that is a numerical expression and a variable expression can include powers. For example, from the given question 9 + 10 is a numerical expression, 9 and 10 are not variables. And in the expression, for example: 9a + 10b is a variable expression in which 9a and 10b are variable terms.

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Complete question- Identify the expression as a numerical expression or a variable expression. For a variable expression, name the variable.

9 + 10

A) It is a variable expression, and + is the variable.

B) It is a variable expression, and there is no variable.

C) It is a variable expression, and 9 and 10 are the variables.

D) It is a numerical expression.

Answer:

This expression (9+10) is a numerical expression. And this is not a variable expression.

Step-by-step explanation:

The cost is minimum per mile traveled  "V = 15 mph".

Given,

In the question:

The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the cube of the speed. A certain ferry boat uses $100 worth of fuel per hour when cruising at 10 miles per hour.

and, the cost of running this ferry is $675.

To find the speed should it travel so as to minimize the cost per mile traveled.

Now, According to the question:

C(V) ∝ V³

then,

C(V) = KV³

When, C = 100 and V = 10

then, 100 = k[tex](10)^3[/tex]

=> k = 1/10

∴ [C(V) = [tex]\frac{V^3}{10}[/tex]]

As we know,

Total cost per hour,

[tex]C_1[/tex]  = [tex]\frac{V^3}{10}[/tex] + 675

Cost per mile = C/V

Now,

C₂ = [tex]\frac{\frac{V^3}{10}+675 }{V}[/tex]

=> [tex]\frac{V^2}{10} +\frac{675}{V}[/tex]

Then we'll need to discover their derivative as well as set that to zero (0) to minimize it.

[tex]C_2'[/tex],

=> [tex]\frac{2V}{10} - \frac{675}{V^2}[/tex] = 0

=> [tex]\frac{V}{5}[/tex] = [tex]\frac{675}{V^2}[/tex]

On applying cross-multiplication, we get

[tex]V^3[/tex] = 3375

V = 15

So that the cost is minimum at "V = 15 mph".

Hence, The cost is minimum per mile traveled  "V = 15 mph".

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Answer:

60

Step-by-step explanation:

the 6 is in the tens place so it is worth 60

Hopes this helps please mark brainliest

Answer: 60

Step-by-step explanation: the value of 263.7  is; 60 pls mark brainly i really need it pls i neeed it its important to me bc i have a gammy who just passed away last week

The total number of pens packed in a box is 3809 pens.

What is an arithmetic operation?

The branch of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are fundamental mathematical operations.

Given, A factory produced 475812 pens of one kind

And 651652 pens of another kind.

So, total pens = 475812 + 651652 = 1127464 pens

Total number of boxes = 296 boxes

Now,

Total number of pens packed in a single box = 1127464/296

                                                                            = 3809 pens per box

Hence, the total number of pens packed in a box is 3809 pens.

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The odds against her choosing a strawberry-flavored piece is 5/11.

Probability is the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The odds against her choosing a  strawberry-flavored piece = 1 - probability that she chooses a strawberry-flavored piece

The odds against her choosing a  strawberry-flavored piece = 1 - 6/11

The odds against her choosing a  strawberry-flavored piece = 5/11

Here is the complete question:

jenny has a box of candies with different flavors. she will randomly choose one piece of candy. the probability that she chooses a strawberry-flavored piece is 6/11. what are the odds against her choosing a strawberry-flavored piece?

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The 99% of a confidence interval for the average maximum HP for the experimental engine. (843.0906, 916.9094)

Given,

In the question:

Given that the mean of the Population = 830HP

Given that the size of the sample  'n' = 25

Given that the mean of the sample = 880HP

Given that the sample standard deviation = 55HP

To find the confidence interval for the average maximum HP for the experimental engine.

Use a significance level of α=0.01.

Now, According to the question:

Degrees of freedom = n-1 =25 - 1 = 24

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

[tex](x -\frac{t_0_._0_0_1}{2},24\frac{S.D.}{\sqrt{n} } , x^2 +\frac{t_0_._0_0_1}{2},24\frac{S.D.}{\sqrt{n} })[/tex]

(880 - 3.3554 [tex]\frac{55}{\sqrt{25} }[/tex] , 880 + 3.3554 [tex]\frac{55}{\sqrt{25} }[/tex])

(843.0906, 916.9094)

Hence, The 99% of a confidence interval for the average maximum HP for the experimental engine. (843.0906, 916.9094)

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By using the concept of integration, it can be proved that

The absolute value of the integral is less than or equal to the integral of the absolute value.

What is integration?

Integration is the process of adding of different individual parts into a whole.

Integration is the reverse of differentiation.

Integration is used to find the area under curve

Let [tex]f^+(x)[/tex] = max{f(x), 0} and [tex]f^-(x)[/tex] = -min{f(x) , 0}

[tex]f^+(x) + f^-(x) = \frac{1}{2}[f(x) + 0 + |f(x) - 0| - f(x) - 0+|f(x) -0|] = |f(x)|\\ f^+(x) - f^-(x) = \frac{1}{2}[f(x) + 0 + |f(x) - 0| + f(x) + 0-|f(x) -0|] = f(x)\\[/tex]

[tex]|\int^a_bf| = |\int^a_bf^+ -\int^a_b f^-| \leq \int^a_bf^+ + \int^a_bf^- = \int^a_b (f^+ + f^-) = \int^a_b|f|[/tex]

So [tex]|\int^a_bf|\leq\int^a_b|f|[/tex]

So, the absolute value of the integral is less than or equal to the integral of the absolute value.

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Using compound interest formula [tex]A = p(1 +\frac{r}{n} )^{nt}[/tex] , the the amount after 5 years is  $15,095.39

The total amount a college student has in a saving account if 13000 dollars was invested and earned 3% compounded quarterly for 5 years can be calculated as follows:

Therefore, it is compounded quarterly which means  4 times.  

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

where

Therefore,

p = 13000 dollars

t = 5 years

n = 4

r = 3% = 0.03

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

[tex]A = 13000(1+ \frac{0.03}{4} )^{(4)(5)}[/tex]

A = 13,000.00(1 + 0.0075)²⁰

A = $15,095.39

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Answer: A googolplexian

Step-by-step explanation: A googolplexian is a number with a googol of zeros after it.

hope this helps!

please give brainliest!

The key feature f(x) and g(x) have in common is both f(x) and g(x) have the same domain of ([infinity], -[infinity]). Option A is correct.

We are given the functions;

Polynomial function; f(x) = 2x² - 3x + 5

Exponential function; g(x) = 2ˣ - 5

In this question we must analyze the domain, range, x-intercepts, and changing intervals:

The domain of both functions is a set of all real numbers with both functions continuous.

The range of both functions is;

Range of f(x) = (3.875, +∞)

Range of g(x) = (-5, +∞)

The x-intercepts of both functions are;

x-intercept for f(x) is non-existent.

x-intercept for g(x) is (2.322, 0).

Thus, the key feature f(x) and g(x) have in common is both f(x) and g(x) have the same domain of ([infinity], -[infinity]). Option A is correct.

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a) √2 t |1, -1>

b ) t√0 |0, 1>=0

c) 2t² |1, -1> are the eigenstates of S² with the appropriate eigen value.

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it. The associated eigenvalue, generally indicated by lambda, is the factor by which the eigenvector is scaled.

Eigenvalues and eigenvectors play an important role in the analysis of linear transformations. The prefix eigen- comes from the German word eigen, which means "property," "characteristic," or "own."

a) S- |1,0>= t√(1+0)(1-0+1) |1, 0-1>

=t√2 |1, -1>

=√2 t |1, -1>

∴S±(s, m>=t√(s±m)(s±m+1) |s, m±1>

b) S₊ |0, 0>= t√(0-0)(0+0+1) |0, +1>

=t√0 |0, 1>=0

S₋ |0, 0>=t√(0+0)(0-0+1_) |0. -1>

c) S² |1, 1>= 1(1+1)t² |1, 1>

=2t² |1, -1>

∴ S² |s, m>=s(s+1)t² |s, m>

Hence, |1, -1> and |1, -1> are eigen function of S² with eigen value 2t²s.

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Answer: The answer is $6.00.

Step-by-step explanation: 25+5=30 then, 36-30=6.00

(I don't know if it makes sense to you, but the answer is $6.00)

(Also, can I get brainly for this?)

Answer:

1/6

Step-by-step explanation:

1/2 *1/3=1/6

The quadrants that give the solution of the inequality y ≤ ²/₃x - 4 is; I, III, and IV

We are given the inequality as;

y ≤ ²/₃x - 4

Let us draft some coordinates before plotting the graph;

When x = 0;

y ≤ ²/₃(0) - 4

y ≤ -4

When x = 1;

y ≤ ²/₃(1) - 4

y ≤ -3¹/₃

When x = 2;

y ≤ ²/₃(2) - 4

y ≤ -2 ²/₃

when x = -1;

y ≤ ²/₃(-1) - 4

y ≤ -4²/₃

From the attached graph Inequality, it is clear that the shaded area which represents the quadrants that possess the solution to the inequality that;

Quadrants I, III, and IV

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The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(x-3)² + 9 = 0

(x-3)²= -9

(x-3)=√-9

(x-3)=√9×√-1

(x-3)=±3i

x=3±3i

Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

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