Which of the following is a solution to
the equation 0 = x2 – 8x – 13?

The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test

Given: Independent group and ordinal data. To find which test to use.

What's the Kruskal Wallis test?

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.

How to calculate the Kruskal Wallis test?

The computation of the Kruskal- Wallis statistic requires

Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.

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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.

We are given an independent group design and ordinate data.

We need to tell which test to use on them.

The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.

The null hypothesis for the Kruskal- Wallis test tells us that:

There are no methodical or harmonious differences among the treatments being compared.

Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.

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The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:

At x ≈ -4.919 and x ≈ -0.488, there are local minima.

At x ≈ 1.752, there is a local maximum.

Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.

To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.

To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.

Initial guess: x_0 ≈ -5

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

where f(x) = -x^3 - 5x^2 - 3x + 9

f'(x) = -3x^2 - 10x - 3 (derivative of f(x))

x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)

≈ -4.919

Initial guess: x_0 ≈ -1

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)

≈ -0.488

Initial guess: x_0 ≈ 2

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)

≈ 1.752

After iterating through the Newton-Raphson method, we approximate the zeros as follows:

x ≈ -4.919

x ≈ -0.488

x ≈ 1.752

Now, let's analyze the behavior of the graph at each zero:

x ≈ -4.919:

When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.

x ≈ -0.488:

When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.

x ≈ 1.752:

When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.

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The value of y in the expression 14 - y = b is y = 14 + b.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.

Therefore,

14 - y = b.

- y = b - 14.

- ( - y) = - (b - 14).

y = 14 + b.

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To determine the degree of a polynomial function given in factored form, a good first step is to count the highest power of the variable in the factored expression.

In factored form, a polynomial function is expressed as the product of linear factors or irreducible quadratic factors.

Each factor represents a root or zero of the function.

The degree of a polynomial is determined by the highest power of the variable in the expression.

To find the degree of the function, examine each factor in the factored form.

For linear factors, the degree is 1 since the highest power of the variable is 1.

For irreducible quadratic factors, the degree is 2 since the highest power of the variable is 2.

By observing the highest power in the factored expression, you can determine the degree of the polynomial function.

If the highest power is 1, the polynomial has a degree of 1 (linear function). If the highest power is 2, the polynomial has a degree of 2 (quadratic function). And so on.

It's important to note that the degree of a polynomial corresponds to the highest power of the variable in the expression and not the number of factors.

The number of factors indicates the number of roots or zeros of the polynomial, but it doesn't determine the degree.

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Answer:

21

Step-by-step explanation:

when you plug in the numbers, it is (6)(1/2)(7)

You then solve in order: 6 x 1/2 = 3

3 x 7 = 21

hope this helps

There is only one child in the park who does not like to play either cricket or football or soccer.

Additionally, you should ignore any typos or irrelevant parts of the question .Here's how you can solve the given problem :Given that ,In a park, 25 children play every day in the evening.

12 children like to play cricket.8 children like to play football.4 children like to play soccer.Total children who like to play either of these three sports = \(12 + 8 + 4 = 24.\)

Therefore, the number of children who do not like to play any of these sports = Total number of children - Number of children who like to play any of these sports= \(25 - 24= 1\).

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side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.

the perimeter is 43

6y+5=8y

y= 5/2

9+14+6(5/2)+5= 43

Answer:

Solution given:

In ∆ PQR and ∆ STQ

PQ=ST=9ft given

<Q=<T given

QR=TU = 14ft [given]

S.A.S axiom therom is used to prove

∆PQR ≅ ∆STU

Since ∆PQR ≅ ∆STU

their corresponding side is equal.so

6y+5=8y

5=8y-6y

2y=5

y=5/2

now

perimeter of ∆ PQR=sum of all sides

=9ft +14ft+ 6*5/2+5=43ft

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

Step-by-step explanation:

In order to convert 45/8 to mixed number, you follow these steps :

Divide the numerator by the denominator. 45 ÷ 8 = 5 with a remainder of 5.

Write down the whole number 5 and then write down the remainder as new numerator (5) above the denominator (8), As below : 5 58

The solution set for this equation S^2-11s can be expressed as 0, 11.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:

S(S-11) = 0

Then this  equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}

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Answer:

22,100

Step-by-step explanation:

pls trust me i just took the test

The number of combination of 3 playing cards from 52 card deck is 22100.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Here, total cards = 52

         cards to be selected = 3

So, total possible combination = ⁵²C₃

                                                    = (52 X 51 X 50) / (3 X 2 X 1)

                                                   = 22100

Thus, the number of combination of 3 playing cards from 52 card deck is 22100.

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Answer:

Last year's price was $12.50.

Step-by-step explanation:

We'll use the variable x to represent last year's price. First, we have to set up an equation:

.60x + x  = 13.25

We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:

.06x + x = 13.25

1.06x=13.25

1.06 r   1 .06 = 13.25 1.06

=$12.50

Last year's price was $12.50.

Really Hope This Helps :) Stay safe folks <3

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Answer:

Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers.

Now, we have numbers lying between the square of n and (n + 1) is 2n

⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112

Hence, 112 numbers lies between the square of the given numbers.

112

Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers. Now, we have numbers lying between the square of n and (n + 1) is 2n. ⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112. Hence, 112 numbers lies between the square of the given numbers.

Answer:

4

Step-by-step explanation:

to evaluate (f ○ g)(3) , evaluate g(3) then substitute the value obtained into f(x) , that is

g(3) = 3 - 5 = - 2 , then

f(- 2) = (- 2)² = 4

Answer: B. 41 3/5 ounces of icing per cake

Step-by-step explanation:

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

Answer:

7(x+1)^2 - 3

Step-by-step explanation:

To Write in The Vertex Form Simply means expressing the equation using completing of the square method

step 1: Make the coefficient of x^2 to 1

7 [x^2 + 2x + 4/7]

step 2: express the coefficient of x as half's of positive and negative

7 [x^2 + 2x + (1)^1 - (1)^1 + 4/7]

step 3: separate the negative part and the constant to solve then correct x^2 and 1^2 together

7 [ (x+1)^2 -3/7 ]

step 4 : distribute the 7

7(x + 1)^2 - 3

44 °F was found out to be equivalent to approximately 6.67 °C using conversion formula of Fahrenheit to Celsius.

To convert a temperature from Fahrenheit to Celsius, you can use the following formula:

°C = (°F - 32) x 5/9

where °C is the temperature in Celsius, and °F is the temperature in Fahrenheit.

Using this formula, we can convert 44 °F to Celsius as follows:

°C = (44 - 32) x 5/9

= 12 x 5/9

= 6.67 °C (rounded to two decimal places)

Therefore, 44 °F is equivalent to approximately 6.67 °C.

On the Fahrenheit scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F, at standard atmospheric pressure.

On the Celsius scale, the freezing point of water is defined as 0 degrees Celsius (°C), and the boiling point of water is defined as 100 °C, at standard atmospheric pressure.

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Answer:

90-30 = 60 degree.

sin90/14 = sin60/m

m= 14sin60/sin90

m= 12.1

sin60/12 = sin30/sin90

n =12sin30/sin90

n= 6

Step-by-step explanation:

Answer:

-332.86

Step-by-step explanation:

hope this helps

Answer:

Unproportional

Step-by-step explanation:

There's no constant rate of change present at all.

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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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

(exact form)   z= -7/5

or

(decimal form)   z= -1.4

or

(mixed number form)   z= -12/5

Step-by-step explanation:

Answer:

The value of z is -7/5

Step-by-step explanation:

1/3 (z + 1/5) = -2/5

z/3 + 1/5 × 3 = -2/5

z/3 + 1/15 = -2/5

15z + 3/45 = -2/5

15z + 3 = -2(45) ÷ 5

15z + 3 = -2(9)

15z + 3 = -18

15z = -18 – 3

15z = -21

z = -21/15

z = -7/5

Thus, The value of z is -7/5

-TheUnknownScientist 72

A first step in solving the equation 1/4 x + 1/2 = 3/4x will be answer A multipllied by 4 on both sides.

What is an equation?

The equation is actually a relationship between the numbers and the variables.The given equation is  1/4 x + 1/2 = 3/4x

Now the solution of the equation will be:-

1/4 x + 1/2 = 3/4x

By multiplying with 4 the equation will become:-

x+2=3x

3x-x=2

2x=2

x=1

Hence the solution of the given equation will be x=1

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Answer:A

Step-by-step explanation:

Multiplying each by 1/4.We have;4x1/4 + 4x1/2 = 4x3/44/4 + 4/2 = 12/41 + 2 = 33=3This is the most effective way.

Answer:

y-187.50= 1.50(x-125)

this is in point slope, but in slope intercept it would be y=1.50x+0

Step-by-step explanation:

Answer:

\(y-187.50=1.50(x-125)\)

Step-by-step explanation:

Slope = $1.50

\(x=125\)

\(y=$187.50\)

Answer:

Below

Step-by-step explanation:

How many times will the colony double ?    124 / 31 = 4 times

2^4   * 100 000 = 1 600 000