I had regions last week and it was hard. Do people in 9th grade graduate

The work done by the force field f(x, y) = 2x sin πy i + 4 cos πy j to move a particle along the parabola y = x² from (0, 0) to (1/2, 1/4) is -1/4.

The work done by a force field can be calculated by taking the line integral of the force field along the given path. In this case, the path is the parabola y = x² from (0, 0) to (1/2, 1/4).

To calculate the line integral, we need to parameterize the path. Let's use x as the parameter. Then, y = x² and dx = 1.

The line integral can be written as:

W = ∫C F · dr

where C is the curve, F is the force field, and dr is the differential element of the path. Since we have parameterized the path using x, dr = dx i + 2x dx j.

Substituting F and dr, we get:

W = ∫C (2x sin πy i + 4 cos πy j) · (dx i + 2x dx j)

= ∫0^(1/2) (2x sin πx² + 8x² cos πx²) dx

This integral cannot be evaluated in terms of elementary functions, so we need to use a substitution. Let's use u = πx². Then, du/dx = 2πx and dx = du/(2πx).

Substituting u and dx, we get:

W = ∫0^(π/4) (sin u + 4 cos u) du/(2π)

= [-cos u + 4 sin u]/(8π) |_0^(π/4)

= (-1/4) - (0)

= -1/4

Therefore, the work done by the force field to move the particle along the parabola from (0, 0) to (1/2, 1/4) is -1/4.

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For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Answer:

13) 225

14) 289

15) 64

16) 8

Answer:

Rs 1311

Step-by-step explanation:

1100 + 50 = 1150

1150 * 114%

NB : since the profit is 14% means it is 14% hence 114% = 100% + 14% meaning the 100% original amount + the 14% profit

= Rs 1311

\(\Huge \boxed{\mathfrak {ANSWER }}\)

\(\large \boldsymbol {} \displaystyle \frac{1}{5-\sqrt{2} } \cdot \frac{5+\sqrt{2} }{5+\sqrt{2} } =\frac{5+\sqrt{2} }{(5)^2-(\sqrt{2)}^2 } =\boxed{\frac{5+\sqrt{2} }{23} }\)

Answer:

I can't I'm blind and Def

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Answer:

x = 2/3

y = 5

Step-by-step explanation:

6x + y = 9

3x -4y = -18

Times the second equation by -2

6x + y = 9

-6x + 8y = 36

9y = 45

y = 5

Now put 5 in for y and solve for x

6x + 5 = 9

6x = 4

x = 2/3

Let's check

6(2/3) + 5 = 9

4 + 5 = 9

9 = 9

So, x = 2/3 and y = 5 is the correct answer.

Average There are 120 ways to choose the three positions so that at least one freshman and one sophomore is chosen.

There are a total of 4 possible combinations of freshman and sophomore for the three positions, with at least one of each:

1. Freshman President, Sophomore Vice-President, Sophomore Treasurer

2. Sophomore President, Freshman Vice-President, Sophomore Treasurer

3. Freshman President, Sophomore Vice-President, Freshman Treasurer

4. Sophomore President, Freshman Vice-President, Freshman Treasurer

For each of the four combinations, there are 10 possible ways to choose the specific freshmen and sophomores for the positions (5 freshmen and 5 sophomores). That means there are 40 possible ways to choose the three positions with at least one freshman and one sophomore. Multiplying this by the 3 possible orders of the positions (President-Vice-President-Treasurer, President-Treasurer-Vice-President, Vice-President-President-Treasurer) gives us a total of 120 possible ways to choose the three positions so that at least one freshman and one sophomore is chosen.

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Answer:

288 good ways

Step-by-step explanation:

:)

Answer:

C.) 105°

Step-by-step explanation:

We can see that angles 2 and 6 are corresponding angles, which means they are congruent and equal.  We also know that a is straight line, which means angles 5 and 6 are supplementary and must equal 180°.

Thus, since <6 = 75°, we simply subtract this from 180 to find the measure of <5:

180 - 75 = 105° = m <2

30 students needs to be added for the food to be enough for 75 days

A hostel contains 150 students

They have food that will last them for 90 days

If the food is supposed to last for 75 days, the number of students that will be added can be calculated as follows

150= 90

1= x

cross multiply

x= 150×90

x= 13,500

= 13500/75

= 180

180 students will be fed for 75 days

We initially had 150 students, subtract 150 from 180

180-150

= 30

Hence 30 students needs to be added so the food lasts for 75 days

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The expected number of "A" appearing in a random sample of size 10 drawn with replacement from a population of 100 is approximately 1,098.77. .

To calculate the expected number of a certain sample appearing in a random sample with replacement, we need to use the probability formula. The probability of a certain sample appearing in any given draw is equal to the size of the sample divided by the total population.
Let's say we have a population of 100 items, and we want to calculate the expected number of a certain sample, say "A", appearing in a random sample of size 10 drawn with replacement. The probability of drawing "A" in any given draw is 1/100.
Now, we need to consider the number of ways in which we can draw a sample of 10 from a population of 100 with replacement. This is given by the formula (n+r-1) choose r, where n is the size of the population, and r is the size of the sample. In our case, this is (100+10-1) choose 10, which equals 109,876,881.
Using these values, we can calculate the expected number of "A" appearing in the sample as follows:
Expected number of A = Probability of A appearing in any given draw x Number of ways of drawing a sample of 10 with replacement
Expected number of A = 1/100 x 109,876,881
Expected number of A = 1,098,768.81
Therefore, the expected number of "A" appearing in a random sample of size 10 drawn with replacement from a population of 100 is approximately 1,098.77.
It's important to note that the actual number of "A" appearing in the sample may vary from this expected value, as the sample is random and subject to chance. However, over multiple samples, the average number of "A" appearing is expected to be close to this value.

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Based on the types of angle pairs we have:

1. Angles 1 and 5, 2 and 6, 3 and 7, 4 and 8

2. Angles 3 and 5, 4 and 6

3. Angles 3 and 6, 4 and 5

4. Angles 1 and 8, 2 and 7

5. Angles that are supplementary to 120°

6. Angles 3, 5, and 7

7. a. Angles 1 and 2; m<2 = 180 - 100 = 80°

b. Angles 1 and 2; m<2 = 75°

c. Angles 1 and 2; m<2 = 82°

d. Angles 1 and 2; m<2 = 77°

8. m<1 = 100°

9. a. m<1 = 127°; b. m<3 = 53°

Some types of pairs of angles include:

From the given figure, we have:

1. Angles 1 and 5, 2 and 6, 3 and 7, 4 and 8 are pairs of corresponding angles.

2. Angles 3 and 5, 4 and 6 are pairs of same side, interior angles.

3. Angles 3 and 6, 4 and 5 are alternate interior angles.

4. Angles 1 and 8, 2 and 7, are alternate exterior angles.

Using the figure given, we can determine the following:

5. Angles that are supplementary to 120 degrees are: angles 1, 2, 7, and 6.

6. Angles that are congruent to 120 degrees are: angles 3, 5, and 7

7. a. Angles 1 and 2 are Same side interior angles

m<2 = 180 - 100 = 80°

b. Angles 1 and 2 are alternate interior angles.

m<2 = 75°

c. Angles 1 and 2 are corresponding angles.

m<2 = 82°

d. Angles 1 and 2 are alternate exterior angles.

m<2 = 77°

8. The student made an error by thinking angle 1 is supplementary to the given angle.

Both angles are alternate interior angles, therefore:

m<1 = 100°

9. a. m<1 = 180 - 53 = 127°

b. m<3 = 53°

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Answer:

There would be 876 legs.

Step-by-step explanation:

To do it you could first find how many legs there are on one farm. SO you would take the 6 cats in one barrel. Then times it by the 6 kittens each of them have. That's the number of cats. Then times than number by 4 to get the total number of legs in one barrel. Then you add in the two legs of the farmer. Then times that total number by 6 to get all the legs on all six farms.

Answer:

196.1

Step-by-step explanation:

Area of a circle is \(\pi r^{2}\) so in order to find the radius you divide the diameter by 2 to get 7.9

Then you do \(7.9^{2}\) x \(\pi\) to get around 196.1

To calculate the monthly payment that Isaac needs to make to pay off his credit card debt in 16 months, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

where:

P = monthly payment

PV = present value of the debt

r = monthly interest rate

n = number of monthly payments

First, we need to convert the annual interest rate to a monthly interest rate by dividing it by 12:

r = 0.219 / 12 = 0.01825

Next, we plug in the values we know into the formula:

P = (0.01825 * 8100) / (1 - (1 + 0.01825)^(-16))

P = $537.13

Therefore, Isaac would need to make monthly payments of $537 to pay off his credit card debt in 16 months, rounded to the nearest dollar.

The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

According to the statement

we have to find that the rational numbers.

So, For this purpose, we know that the

Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

From the given information:

The given numbers are between -1/2 and 4/7

Then to find the numbers then

Rational numbers = (-1/2 +4/7) /2

Rational numbers = (-1 +2/7)

Rational numbers = -5/7.

And then the number becomes -6/7, 2/7,3/7.

Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

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\(as \: given \: \: 3x \leqslant - 6 \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: so \: \frac{3x}{3} \leqslant \frac{ - 6}{3} \: \ \\ results \: in \: x \leqslant - 2\)

The right answer is x≥ 2/3

There are 360 possible pizza configurations possible.

To find the number of pizza configurations that a customer can choose, use the fundamental principle of counting where we multiply the number of choices for each category.

For the pizza size, there are 3 options to choose from.

For the toppings, there are 10 options for the first topping, 9 options for the second topping, and 8 options for the third topping.

However, since the order of the toppings doesn't matter (e.g. pepperoni, sausage, and mushroom is the same as mushroom, sausage, and pepperoni), we have to divide the result by the number of ways to arrange each group of toppings, which is 3! (factorial of 3).

So, the number of pizza configurations that a customer can choose can be calculated as follows:

Number of configurations = 3(10)(9)(8) / 3!

= 3(720) / 6

= 3(120)

= 360

Therefore, there are 360 possible pizza configurations that a customer can choose.

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Answer:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Integers are like whole numbers, but they can also be negative.

Some examples of integers are -1, 2, 5 etc.

The correct option is B• "The LP has multiple optimal solutions". Because  feasible region, intersects with the objective function in multiple points.

The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.

To determine the nature of the LP problem, we need to analyze its feasible region and objective function.

The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.

By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.

Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.

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Answer:

3 pounds and 8 ounces

Step-by-step explanation:

1 pound is 16 ounces, 1/2 pound is 8 ounces.

If you need further help, let me know!

-profparis

Domain are a set of values of ( x ) which serves as an input to the function. The set of values of ( x ) qualifies the domain over which the function f ( x ) is defined over.

Function f ( x ) is a relationship between the input and output. It is expressed as an mathematical expression of any form.

The following set of values given to us:

The pair of values are expressed as follows:

Where,

The domain is a set of values of ( x ) from lowest to highest as follows:

Hence, we can write the domain as follows:

Similarly we can express the range of values for the output by considering the highest and lowest output.

Hence, we can write the domain as follows:

In the transformation ABC A'B'C', the preimage of B' is B.

It's a triangle, ABC. ABC is changed so that the resulting image is A'B'C'. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.

Corresponding vertices will be matched in all transformations. In other words, A will change to A', B to B', and C to C'.Preimage of B' would just be B itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.

In conclusion, it is B.

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In the transformation ABC A'B'C', the preimage of B' is ____

We are given the transfer function of a system as follows:s + 1 H(s) = (s + 4)²¹We have to find the spectrum of H(jw). To do this, we replace s with jω to obtain:

H(jω) + 1 = (jω + 4)²¹H(jω) = (jω + 4)²¹ - 1 We can further simplify this expression by expanding the expression on the right-hand side using the binomial theorem:

(jω + 4)²¹ = Σn=0²¹ 21Cnjω²¹⁻ⁿ4ⁿWe can then substitute this expression back into the equation for H(jω):H(jω) = Σn=0²¹ 21Cn jω²¹⁻ⁿ4ⁿ - 1Now, we can answer the given questions one by one:

1. To find the system response to the unit step function u(t), we need to find the inverse Laplace transform of the transfer function H(s) = (s + 4)²¹ / (s + 1). We can do this by partial fraction decomposition:

H(s) = (s + 4)²¹ / (s + 1) = A + B / (s + 1) + ... + U / (s + 1)¹⁹where A, B, ..., U are constants that we can solve for using algebra. After we have found the constants, we can take the inverse Laplace transform of each term and sum them up to get the system response.

2. To find the system response to the sinusoidal input cos(2t + 45°)u(t), we can use the frequency response of the system, which is H(jω), to find the output. The output will be the input multiplied by the frequency response.

3. To find the system response to the sinusoidal input sin(3t - 60°)u(t), we can again use the frequency response of the system, which is H(jω), to find the output. The output will be the input multiplied by the frequency response.

4. To plot the frequency response H(jω) using MATLAB, we can define the transfer function as a symbolic expression and then use the built-in MATLAB functions to plot the magnitude and phase of H(jω) over a range of frequencies.

5. To produce the Bode plot of H(jω) using the MATLAB function bode, we can simply pass the transfer function to the bode function. The bode function will then produce the magnitude and phase plots of H(jω).

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Step-by-step explanation:

Here,

ABCD is rhombus,

AB=9s+29

CD =10s -18

now, AB=CD (opposite side of rhombus is parallel and equal)

or,9s +29=10s-18

or, 10s -9s= 29+18.

The value of s is 47.

Therefore, the measure of AB is 9×47+29.

=452.

Hope it helps...

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

a) 2f(x)

2f(x) = 2(2x - 1)

       = 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

       = 4x - 1

Answer:

x = -7

Step-by-step explanation:

Step 1: Write equation

3x - 1 = -22

Step 2: Add 1 on both sides

3x = -21

Step 3: Divide both 3

x = -7

Answer:

Irrational

Step-by-step explanation:

\(7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}\)

Therefore, this is irrational. Hope this helps!