The graph of y = is translated. The translation is defined by (x + 1, y – 2).

Which is the graph of the translated image?
A B C D

The test statistic of null and alternative hypotheses for a test is 0.811.

69 of the 142 persons that were randomly chosen from a sample are found to meet the condition we are testing.

The sample proportion phat = 69 ÷ 142 = 0.489

n = 69

p = 0.54

the following are your test's null and alternate hypotheses:

\(H_0\) : p = 0.54

\(H_a\) : p < 0.54,

test statistic,

z = (phat - p) ÷ √(p × (1 - p) ÷ n)

z = (0.489 - 0.54) ÷ √((0.79 × 0.21) ÷ 42) = 0.811

A test statistic is a figure obtained from a statistical analysis. It explains how distant the observational values seem to be from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

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Answer: B) established a strong, central government

Answer:

The emperor Chandragupta is established a strong, centralized government

Answer:

I think 36 for child and 18 for adult

Step-by-step explanation:

A cost function is a mathematical formula used to chart how production expenses will change at different output levels. Hence, \(25\) child tickets are sold and adults are \(15\).

What is the cost?

A cost function is a mathematical formula used to chart how production expenses will change at different output levels. In other words, it estimates the total cost of production given a specific quantity produced.

Let \(y\) be the number of child tickets sold

Then, \(40-y\) be the number of adults tickets sold

Each ticket costs $\(3\) and there are \(y\) child so it is of the form

\(3\)×\(y=3y\)

So, \(40-y\) tickets sold and each costs $\(5\), so it`s the cost is \(5(40-y)\).

\(3x+5(40-y)=150\\3y+200-5y=150\\200-2y=150\\-2y=150-200\\-2y=-50\\2y=50\\y=25\)

Hence, \(25\) child tickets are sold and adults are \(15\).

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Answer:

5/9

Step-by-step explanation:

flip the second fraction and then multiply the numerators with each other then the denominators with each other

1/3 x 5/3 = 5/9

Answe I believe the answer would be D

Step-by-step explanation:

Francisco teaches group lessons to all of the violin and viola students at the Scott School of Music. All of his classes have the same number of students.

What is the greatest number of students he can have in each class We can determine the greatest number of students that Francisco can teach in each class by finding the greatest common factor (GCF) of the total number of violin and viola students at the school.

Suppose there are a total of m violin students and n viola students. Then the total number of students at the school is m + n. Let's find the GCF of m and n in order to determine the greatest number of students Francisco can teach in each class.

GCF of m and n will give us the number of students that can be divided equally among all the classes. Following the steps to find GCF :

Step 1 :List down all factors of m and n

Step 2 :Identify the common factors of both m and n

Step 3 :Find the largest common factor m and n. We find the factors of m and n below: Suppose m = 36 and n = 72.Therefore, the greatest common factor of m and n is 36.So, the greatest number of students that Francisco can teach in each class is 36.

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You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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The measure of angles of intersecting lines are solved

Given data ,

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

a)

The total measure of angles = 90°

So , ( x + 16 )° + ( 3x + 2 )° = 90°

On simplifying , we get

4x + 18 = 90

Subtracting 18 on both sides , we get

4x = 72

Divide by 4 on both sides , we get

x = 18

Therefore , the angles are solved

b)

The angles on a straight line is supplementary = 180°

So , 3x° + 84° = 180°

Subtracting 84° on both sides , we get

3x = 96°

Divide by 3 on both sides , we get

x = 32

Therefore , the angles are solved

c)

The angles on a straight line is supplementary = 180°

So , ( 6x + 3)° + 87° = 180°

Subtracting 87° on both sides , we get

( 6x + 3)° = 93°

Subtracting 3 on both sides , we get

6x = 90

Divide by 6 on both sides , we get

x = 15

Therefore , the angles are solved

d)

The Opposite angles are congruent

So , 63° = 4x + 3

Subtracting 3 on both sides , we get

4x = 60

x = 15

Hence , the angles of intersecting lines are solved

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The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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the dimensions of the rectangle with the largest area is Length = Diameter of the semicircle = 4 inches and Width = Radius of the semicircle = 2 inches.

consider a semicircle with radius 2 inches.

The diameter of the semicircle is twice the radius, which is 4 inches. This diameter will be the length of the rectangle.

Since the rectangle is inscribed in the semicircle,

the width of the rectangle= the radius of the semicircle = 2 inches.

Therefore, the dimensions of the rectangle with the largest area that can be inscribed in the semicircle are:

Length = Diameter of the semicircle = 4 inches

Width = Radius of the semicircle = 2 inches

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The answer above is correct, i got it right on the test!

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

The largest volume that the box  can have is 02.

equation for volume :

v = x (3- 2x)²

Differentiating using chain rule and product line:

    v' = 1(3 - 2x)² + 2x (3 -2x) (-2)

        = 9 - 12x + 4x² -12x +8x²

        = 9 - 24x +12x²

Finding the critical value where v' = 0

 v' = 0

⇒12x² - 24x +9 =0

⇒3 ( 4x² -8x +3)=0

⇒ 4x² -8x+3 =0

(2x- 3) (2x-1) =0

or, x=3/2 or 1/2

putting the value x= 1/2, we get,

 V = 2

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Option E should be chosen, which is to explore the assignable causes because the second, fourth, and fifth samples are above the mean.

In an x-bar chart, the control limits (UCL and LCL) are based on the process variability and are used to determine if the process is in control. The central line represents the mean of the process.

Looking at the given sample means of 18, 23, 17, 21, 24, and 16, we can see that the second, fourth, and fifth samples are above the mean of 20. This suggests a potential shift or deviation from the expected process mean.

In an x-bar chart, if any sample mean falls outside the control limits or exhibits a non-random pattern, it indicates the presence of assignable causes, which are factors that can be identified and addressed to improve the process. Since the second, fourth, and fifth samples are above the mean, it is advisable to explore the assignable causes, as stated in option E.

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Answer:

: L = r * θ = 15 * π/4 =

Step-by-step explanation:

An independednt variable is a variable that doesnt need any support Dependent is where there is variable, but it depends on something else.

For example,

y=2x+1

y is dependent, becuase it depend on 2x+1

x is independent, beucase it doesnt need to depend on anything.

Answer:

Lets say that we have an equation. You get 10 dollars for every hour you work. x = how many hours worked, and s = your salary for each hour

example equation
10x = S.

S will be the DEPENDENT variable and X is the INDEPENDENT  variable. Why? Because your salary depends on how many hours you worked. If you work for 5 hours, you get $50. Its not like your boss gives you the $50 and like "work for 5 hours". thats not how it works lol

Hope this helped :)

Answer

XY = 30 cm

Explanation

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

a = XY = ?

b = YZ = 72 cm

hyp = XZ = 78 cm

a² + b² = (hyp)²

XY² + 72² = 78²

XY² + 5184 = 6084

XY² = 6084 - 5184

XY² = 900

We then take the square root of both sides

√(XY²) = √900

XY = 30 cm

Hope this Helps!!!

Answer: 21.21

Step-by-step explanation: 8.04 + 8.04 + 5.13 = 21.21

Step-by-step explanation:

Warren bought 2 pounds of hazelnuts, which cost $8.04 per pound, so he spent:

2 pounds * $8.04/pound = $16.08

He also bought 1 pound of walnuts, which cost $5.13 per pound, so he spent:

1 pound * $5.13/pound = $5.13

Therefore, the total amount Warren spent is:

$16.08 + $5.13 = $21.21

Answer:

D

Step-by-step explanation:

I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952

Sorry if this isnt enough, but i am sure.

Answer:

D.  11 < x < 19.

Step-by-step explanation:

The third side x is between 11 and 19 cm.

Consider sides AB (length 4) and BC (length 15) of the triangle.

Consider the angle between AB and BC is slightly less than 180 degrees.  To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.

Consider the angle between AB and BC is slightly more than 0 degrees.  To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.

32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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Answer:

x=3 and 9

Step-by-step explanation:

; x-3=0

x=3 (change side change mark)

and

\( \frac{2}{3} x - 6 = 0\)

\( \frac{2}{3} x = 6\)

\(x = 6 \times \frac{3}{2} \)

change side change mark.

So, x=9

If u wanna check the answer you can check by substitution x=3 and 9 in equation.

hope it helps you ☺️

Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

a. The equations represent the motion of an object undergoing constant acceleration in one dimension.

a. The equations represent motion with constant acceleration in one dimension. b. When the acceleration is zero, the equations represent motion with constant velocity or uniform motion.

1. Vxf = Vx₁ + axt: This equation relates the final velocity (Vxf) to the initial velocity (Vx₁), acceleration (a), and time (t). It indicates that the final velocity of an object is equal to the initial velocity plus the product of acceleration and time.

2. xf = xi + Vx₁t + 1/2 axt²: This equation gives the displacement (xf) of the object at time t. It relates the initial position (xi), initial velocity (Vx₁), time (t), and acceleration (a). It includes both the linear term (Vx₁t) and the quadratic term (1/2 axt²), which arises from the constant acceleration.

3. v2xf = v2xt + 2ax (xf - xi): This equation relates the squares of the final velocity (v2xf) and initial velocity (v2xt) to the acceleration (a), displacement (xf - xi), and the sign of the acceleration. It can be derived from the equations of motion and is useful for calculating the final velocity when the other variables are known.

When the acceleration (a) is zero:

If the acceleration is zero, then the equations simplify to:

- Vxf = Vx₁: The final velocity is equal to the initial velocity.

- xf = xi + Vx₁t: The displacement is determined by the initial position, initial velocity, and time, following constant velocity motion.

- v2xf = v2xt: The squares of the final velocity and initial velocity are equal. This equation also indicates constant velocity motion.

In summary, when the acceleration is zero, the equations represent motion with constant velocity or uniform motion.

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Answer:270,000

Step-by-step explanation:

If Roselyn is driving to visit her family, who live 150 kilometers away.  the price for the amount of fuel that Roselyn will use for the entire drive is $15.

Roselyn  Driving time :

Time = 150 km / 60 km/h

Time  = 2.5 hours

Liters of fuel that Roselyn's can will use

Liters = 2.5 hours * 60 km/h / 6 km/l

Liters = 25 liters of fuel

Amount paid = 25 liters * 0.60 dollars/liter

Amount paid = $15

Therefore the price is $15.

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The another root for the given polynomial is 3 + 2i.

A complex number is defined as a number containing both real and imaginary part which is written as x + iy. The conjugate of a complex number can be obtained by changing the sign of the imaginary part of the number. the product of a complex number and its conjugate is the square of its magnitude.

One of the complex roots of a polynomial is given as 3 - 2i.

Since, all the coefficients of the polynomial P(x) are real.

The another root should be the complex conjugate of the given root.

Thus, the other root is given as below,

3 + 2i

Hence, the additional root is given as 3 + 2i.

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The t-value using the sample mean, sample standard deviation, sample size and the hypothesized mean of 40 pounds.

The calculated t-value is greater than the critical t-value, we would reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean weight of blue catfish in the reservoir is indeed greater than 40 pounds.

To test the claim that the mean weight of blue catfish in the John H. Kerr Reservoir is greater than 40 pounds, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0):

The mean weight of blue catfish in the John H. Kerr Reservoir is 40 pounds or less.

Alternative Hypothesis (Ha):

The mean weight of blue catfish in the John H. Kerr Reservoir is greater than 40 pounds.

In mathematical notation:

H0: μ ≤ 40

Ha: μ > 40

Here, μ represents the population mean weight of blue catfish in the reservoir.

By assuming that the average weight of blue catfish in the reservoir is not significantly different from 40 pounds or less, we set up the null hypothesis.

The alternative hypothesis suggests that the mean weight is greater than 40 pounds.

To test these hypotheses, we can perform a one-sample t-test on a sample of blue catfish weights collected from the reservoir.

We can then compare the calculated t-value with the critical t-value at a significance level of 0.05.

Conversely, if the calculated t-value is not greater than the critical t-value, we would fail to reject the null hypothesis and would not have sufficient evidence to conclude that the mean weight is greater than 40 pounds.

It's important to note that conducting the actual statistical analysis requires the collection of a representative sample of blue catfish weights from the John H. Kerr Reservoir and performing the necessary calculations using appropriate statistical software or tools.

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No; Two points have different y-values for the same x-value of 2.

Step-by-step explanation: