1230) y=1/(Ax^2 + (x) is the general solution of DEQ: xy' + 43x^2 y^2 + y = 0. Determine A. Is the DEQ separable, exact, 1st-order linear, Bernouli? ans: 5

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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Answer:

Option 2 : 80x - 460 = 300 is the correct answer.

Step-by-step explanation:

Given that:

$400 box was purchased at $5 per shirt.

Number of shirts = \(\frac{400}{5}\) = 80 shirts

Profit to make = 300

Cost of advertising = $60

Total cost = 400+60 = $460

Let,

x be the cost per shirt that should be set by Robotics club.

Total selling price - production cost = Profit

80x - 460 = 300

Hence,

Option 2 : 80x - 460 = 300 is the correct answer.

The graph of the equations are added as attachment

Choose two linear equations

In this case, we make use of the following linear equations

y = 2x + 4 and y = -3x + 5

The slope and y-intercept of each equation

A linear equation is represented as

y = mx + c

Where

Slope = m and y-intercept = c

This means that the slope and y-intercept of each equation are

y = 2x + 4

Slope = 2

y-intercept = 4

y = -3x + 5

Slope = -3

y-intercept = 5

See attachment for the graph of the functions

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Not all square matrices can be diagonalized. If there are just two eigenvectors (up to multiplication by a constant), then the matrix cannot be diagonalized.

A collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital uses as well.

Thus, Not all square matrices can be diagonalized. If there are just two eigenvectors (up to multiplication by a constant), then the matrix cannot be diagonalized.

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Answer:

The number of units to sell is 112.

Step-by-step explanation:

Giving the following information:

Selling price= $4

Total cost= $86.56

Desired profit= $100

To calculate the number of units to be sold to reach the objective, we need to use the following formula:

Desired profit= number of units*selling price - total cost

100= number of units*4 - 86.56

25= number of units - 86.56

111.56=number of units

The number of units to sell is 112.

We have the following:

The total cost to rent the boat will be:

3.5 hours x $ 12 per hour + $ 5 = $ 47. If she splits the cost with a friend, they each play $ 47 / 2 = $ 23.5

The solution to the inequality y < 43.5 can be graphed on a number line. The graph will show all the values of y that are less than 43.5.

To graph the solution to the inequality y < 43.5 on a number line, we start by marking the point 43.5 on the number line. Since the inequality is y < 43.5, we represent it with an open circle at 43.5 to indicate that 43.5 itself is not included in the solution.

Next, we shade the region to the left of the open circle. This shaded region represents all the values of y that are less than 43.5, including any negative values and values approaching negative infinity.

The resulting graph on the number line will show a shaded region to the left of the open circle at 43.5, indicating that all values of y in that region satisfy the inequality y < 43.5.

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Answer:

The length of the lights is 2088 inches

Step-by-step explanation:

The question is mixed up with another (See comment for correct question)

Given

\(Length = 799in\)

\(Width = 245in\)

Required

The perimeter of the deck (this is what the question implies)

The perimeter (P) is:

\(P = 2 * (Length + Width)\)

\(P = 2 * (799 + 245)\)

\(P = 2 * 1044\)

\(P = 2088\)

From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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The heights of statistics students were obtained by the author as part of an experiment conducted for class.

Last Digits of Heights: 0, 8, 4, 6, 8, 0, 3, 1, 7, 5

Frequency Distribution:

Class  Frequency

0-9  4

10-19  3

20-29  1

30-39  1

40-49  0

50-59  0

60-69  0

70-79  1

80-89  2

90-99  0

Based on the frequency distribution, the heights appear to be reported rather than actually measured. This suggests that the accuracy of the results may be questionable, as it is possible that the heights were rounded or estimated.

The heights of statistics students were obtained by the author as part of an experiment conducted for class. From the frequency distribution, it appears that the heights were reported rather than actually measured, suggesting that the accuracy of the results may be questionable.

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The area of the composite figure is 24m², which is option C.

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. To get the area of a composite shape, first determine the individual areas of every component. The total of the individual regions will then represent the area of the composite shape.

From the figure, we can see that from a big rectangle, 4 small identical squares of side 1m are cut from each corner.

We are asked to find the area of the rest of the rectangle which makes the composite figure.

W first find the area of the original rectangle.

Its length  = 5 + 1 + 1 = 7 m

Its breadth = 2 + 1 + 1 = 4 m

So the area of the rectangle = length * breadth = 7*4 = 28 m²

Now the side length of the square = 1 m

Area of one square = 1*1 = 1m²

So are of four identical squares = 4 * 1 = 4 m²

Therefore area of the composite figure = area of big rectangle - area of 4 squares = 28 - 4 = 24m²

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Answer:

24m^2 is ur answer

Step-by-step explanation:

Hope this helps

Answer:

No, is the answer. :)

Step-by-step explanation:

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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(a) The derivative of f(x) = 7x + 28/x is \(f'(x) = 7 - 28/x^2\). (b) The function f(x) has an absolute minimum at x = 2.

(a) To find the derivative of the function f(x) = 7x + 28/x, we can apply the power rule and the quotient rule.

The derivative of the first term 7x is simply 7.

For the second term 28/x, we can use the quotient rule:

\(f'(x) = (28)(-1)/x^2\)

\(= -28/x^2.\)

Combining the derivatives, we have:

\(f'(x) = 7 - 28/x^2.\)

(b) To find the absolute minimum of f(x), we need to look for critical points. These occur when the derivative is equal to zero or undefined.

Setting f'(x) = 0, we have:

\(7 - 28/x^2 = 0.\)

To solve this equation, we can multiply through by x^2 to eliminate the fraction:

\(7x^2 - 28 = 0.\)

Adding 28 to both sides:

\(7x^2 = 28.\)

Dividing both sides by 7:

\(x^2 = 4.\)

Taking the square root of both sides:

x = ±2.

Since the interval is [0.01, 4], we are only concerned with the values of x within this range.

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Answer:

I think SAS is the correct Ans

Answer:

Step-by-step explanation:

x^2 + 7x + 5x + 35

7x : II

5x: III

35: IV

Answer:

-16

Step-by-step explanation:

Answer:

119 yds and 76 yds

Step-by-step explanation:

area of 1st rect = 9000 yd^2

perimeter = 2(75+120)= 2*195=390

perimeter of 2nd rectangle = 390

l+b = 390/2= 195

the minimum l of 2nd rectangle = 119

min b of 2nd rectangle = 76

119*76 =9044

Answer:

112 adults

Step-by-step explanation:

2x+504=11x

11x-2x=504

9x=504

x=56

The ratio is 2:11 so we multiply 56 by 2 and 11. The 2 represents the Adults and the 11 represents the students.

56*2=112 adults

56*11 = 616 students

Just to double check if you do 616-112 it is exactly 504, Therefore the amount of adults is 112.

Have a great day!

Answer:

v = \(\frac{7\sqrt{2} }{2}\)

u = \(7\)

Step-by-step explanation:

First, the angle on the far left is also 45 degrees.

So, v is equal to \(\frac{7\sqrt{2} }{2}\) because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.

However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by \(\sqrt{2}\).

So, \(\frac{7\sqrt{2}}{2}*\sqrt{2}\) is equal to:

\(7\)

Hope this helps!

Answer:

16x^3-9x^2+4x-4

Answer:

28 rentals

Step-by-step explanation:

$45-$10 membership=$35 on rentals at $1.25 each.

Then $35/$1.25=28 rentals

The simplified form of the linear equation y =10(0.91)x is y = 9.1x.

To solve the equation y = 10(0.91)(x), we can simplify the expression on the right side of the equation.

First, we can multiply 10 and 0.91:

y = 9.1x

Now, we have a simple linear equation in the form y = mx, where m represents the slope of the line. In this case, the slope is 9.1.

This equation represents a line with a slope of 9.1 and a y-intercept of 0. The value of y depends on the value of x. For each increase of 1 in x, y will increase by 9.1.

To find specific solutions, you can substitute different values for x and solve for y. For example:

If x = 1, then y = 9.1(1) = 9.1

If x = 2, then y = 9.1(2) = 18.2

The equation y = 9.1x represents a line that increases at a rate of 9.1 units in the y-direction for every 1 unit increase in the x-direction. The line passes through the origin (0,0) and has a positive slope, indicating a positive relationship between x and y.

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The complete question:

Solve: y = 10(0.91)x

The indicated critical value of z₀.₁₁ is 0.54.

What does it mean round to two decimal places?

The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test.

The critical value of z₀.₁₁ is z₀.₁ ₊ ₀.₀₁ = 0.5438

The round to two decimal places of 0.5438  is 0.54.

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Answer:

4.41 x 10^3 hope this helps

Answer:

32000 is your answer its not to hard all you got to do is type it into the calculator and press enter

Answer:

\(4x^2+20xy+25y^2\)

Step-by-step explanation:

\((2x + 5y)^2=(2x + 5y)(2x + 5)\)

\((2x + 5y)(2x + 5y)\)

\(4x^2+10xy+10xy+25y^2\)

\(4x^2+20xy+25y^2\)

Hope this helps!

This means that the algorithm will end after just one step, and the GCD will be equal to the last non-zero remainder, which in this case is 3. Therefore, we can be certain that the Euclidean algorithm will end with a zero remainder in one step, and the lowest number we can be certain of is 3.

In this particular question, the student is asking how many steps are required for the Euclidean algorithm to end with a zero remainder when applying it to two positive integers a and b.Suppose you apply the Euclidean algorithm to two positive integers a, b. You only know that a is a number with 1000 decimal digits. The value of b, on the other hand, is given as 3. We can be certain that the Euclidean algorithm will end with a zero remainder in one step.

In order to understand why this is the case, it is important to know that the Euclidean algorithm is a method for computing the greatest common divisor (GCD) of two positive integers. It is based on the observation that the GCD of two numbers does not change if the smaller number is subtracted from the larger number repeatedly.The Euclidean algorithm begins by dividing the larger number by the smaller number and taking the remainder.

The larger number is then replaced with the smaller number, and the smaller number is replaced with the remainder. This process is repeated until the remainder is zero. At this point, the algorithm ends, and the GCD is equal to the last non-zero remainder that was computed.In the case of the student's question, we know that b=3. Since 3 is relatively prime to any number, including a number with 1000 decimal digits, the remainder of the first step will always be 0.

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The amount of interest charged at the end of the term is approximately $644.75.

To calculate the amount of interest charged at the end of the term, we can use the simple interest formula:

Interest = Principal * Rate * Time

Principal = $6,250

Rate = 4.12% = 0.0412 (decimal form)

Time = 2 years + 6 months = 2.5 years

Plugging in these values into the formula, we have:

Interest = $6,250 * 0.0412 * 2.5

Calculating this expression:

Interest = $6,250 * 0.0412 * 2.5 = $644.75

Therefore, the amount of interest charged at the end of the term is $644.75 (rounded to the nearest cent).

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