TRUE/FALSE. if x=ye^y then the explicit differentiation to find dx/dy, and the implicit differentiation to find dy/dx yield consistent results.

The whole response to the specified differential equation. (x + 1) dy/dx + (x + 2) y = 2xe is equal to y1(x), y2(x), f(x), and W(y1, y2), where dx = (ex)(1/2 e2x) = 1/ 2 e3x.

fixing a problem by an action or process; providing a solution explanation. an assortment of variable values that satisfy an equation, specifically Any value of a variable in an equation that fulfills the equality, that is, makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal, is the solution. Finding the solution(s) to an equation is what it means to solve it. The percentage of a solute in the solvent is one way to express a solution's concentration. the ratio of the mass of the solute to the mass of the solution

given

The characteristic equation is: r2 − 3r + 2 = 0

Factor: (r − 1)(r − 2) = 0

r = 1 or 2

So the general solution of the differential equation is y = Aex+Be2x

So in this case the fundamental solutions and their derivatives are:

Find the particular solution using the formula:

yp(x) = −y1(x)∫ y2(x)f(x) /W(y1, y2) dx + y2(x)∫ y1(x)f(x) /W(y1, y2) dx

4. First we solve the integrals:

∫ y2(x)f(x) / W(y1, y2) dx

= ∫ e2xe3xe3x dx

= ∫e2xdx

=  1 / 2 e2x

So:

−y1(x)∫ y2(x)f(x) / W(y1, y2) dx = −(ex)( 1/2 e2x) = − 1 / 2 e3x

the whole response to the specified differential equation. (x + 1) dy/dx + (x + 2) y = 2xe is equal to y1(x), y2(x), f(x), and W(y1, y2), where dx = (ex)(1/2 e2x) = 1/ 2 e3x.

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The answer is: Figure C

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length. Here the figure C represents the parallelogram. The correct option is C.

A parallelogram is defined as the two dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon which contains four sides, where the pair of parallel sides are equal in length.

The sum of adjacent angles of a parallelogram is equal to 180 degrees. The opposite angles are equal in measure in a parallelogram.

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:

From the diagram:

L(3,1), M(4,3), N(5,3) and P(4,1).

Using the reflection rule, you can find coordinates of image points:

L'(1,3), M'(3,4), N'(3,5) and P'(1,4)

These are coordinates of vertices of the figure C.

Your question is incomplete most probably your full question was:

In the given figure which represents the image of parallelogram

LMNP after a reflection across the line y = x?

Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

In the coding section of Lesson 4, Unit 7 on Code.org, you will be working with parameters and return statements to create a Number Crunch function for 2 and 3. To complete this task, follow these steps:

1. Define a function called 'numberCrunch' that takes two parameters: 'num1' and 'num2'.
2. Inside the function, perform the desired calculations using 'num1' and 'num2' (e.g., addition, multiplication, etc.).
3. Use a return statement to return the result of the calculation.
4. Call the 'numberCrunch' function with the values 2 and 3 as arguments, and store the result in a variable (e.g., 'result').
5. Display the result using a console.log or any other preferred method.

Here's an example using addition as the operation:

```javascript
function numberCrunch(num1, num2) {
 return num1 + num2;
}

var result = numberCrunch(2, 3);
console.log(result);
```

Modify the code according to the specific requirements of the lesson and the desired operation.

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Answer:

No solution or none

Step-by-step explanation:

3x+y=18 equation 1

3x+y=16 equation 2

-3x-y=-18 multiply equation 1 by -1

0=-2 add above 2 equations

no solution or none

Answer:

Step-by-step explanation:

Total frequencies:

Median group is the containing the middle - 25th and 26th frequencies. This is the 11-15 interval.

Estimated median formula:

Substitute values and work out the number:

Given

Simplify

The degree of the numerator =0

The degree of the denominator =1

Since, the degree of the denominator is > the degree of the numerator

The horizontal asymptote is the x-axis

Therefore, The horizontal asymptote is; y = 0

Answer:

adult  $10   Children $15

Step-by-step explanation:

4A + 6C = 130

10A + 12C = 280

Multiply the first by -2 to eliminate C

-8A -12C = - 260

10A +12C = 280

   ADD BOTH

2A = 20

A=10    ($10 per adult)

   40+6C = 130

6C = 90

C=15 (15 per child)

The Mean for June 2006 and 2005 is  $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.

In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.

The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.

The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.

The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.

It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.

Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.

1. Mean:

• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909

• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977

2. Median:

• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000

• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000

3. Mode:

• Mode for June 2006: There is no mode, because no value is repeated.

• Mode for June 2005: There is no mode, because no value is repeated.

Conclusions:

• The mean housing price in June 2006 is higher than the mean housing price in June

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The amount of silver that  should be added is 48% . A jeweler is said to have 5 rings that weigh 12 g apiece and are composed of an alloy of 20% silver and 80% gold.

What are linear equations?

An equation between two variables that, when plotted on a graph, produces a straight line.

The material will weigh 12 × 5 = 60 grams after melting all 5 rings.

The alloy's 20% silver and 80% gold content have been disclosed to us. Let's further say that the melted material receives an additional x grams of silver, resulting in a composition of 64% gold and 36% silver.

Thus, we can construct the following equation:

Amount of gold before = Amount of gold after mixing

So the equation we get

80% of 60 grams =64% of (X + 60) gram

0.80 × 60 = 0.64 (x + 60)

48 = 0.64x + 38.4

0.64x = 9.6

x = 9.6/0.64

x = 15

So

Amount of silver that needed to be added

= 0.64(15 + 60)

= 0.64(75)

= 48%

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The following presumption has to be verified in order to establish whether the collection of ordered pairs fulfills an exponential function: The x-coordinates must have the same increment or a consistent difference.

A mathematical function of form f (x) = aˣ is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's basis and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the foundation for exponential functions that are most frequently utilized.

Characteristics are:

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Answer:

Amount invested = $15,000 (Approx.)

Step-by-step explanation:

Given:

Amount of interest received = $6,159

Rate of interest = 3.5%

Number of year = 10 year

Find;

Amount invested

Computation:

Using compound interest formula

I = P[(1+r)ⁿ - 1]

6,159 = Amount invested[(1+3.5%)¹⁰ - 1]  

6,159 = Amount invested[(1+0.035)¹⁰ - 1]  

6,159 = Amount invested[(1.035)¹⁰ - 1]  

Amount invested = $15,000 (Approx.)

Answer:

If the question is (64)2 x 60, then the answer is 7,200

Step-by-step explanation:

Answer:

20boys and 15girls

Step-by-step explanation:

Let no of boys be 4x

no of girls be 3x

4x+3x=35

7x=35

x=35/7

x=5

no of boys=4×5=20

no of girls=3×5=15

20+15=35 students

Answer:

75 problems

Step-by-step explanation:

You would use cross multiplication you you set up the problem like this:

50/80 = x/120

you would cross multiply to get 80x=6,000

then you would divide each side by 80

6,000/80= 75

Answer:

you would need to cut off 12.49 cm. of the paper

Answer:

Triangle JKLM ~ Triangle STUV

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.

Using integration by parts formula, we have:

∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx

= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx

= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)

= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C

Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

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Answer:

B

Step-by-step explanation:

Answer:

no the sides are not congruent aka B

Step-by-step explanation:

Answer:

pi r^2

Step-by-step explanation:

Take the radius and square it (multiply it by itself) and then multiply by pi (3.14)

Answer:

A = πr²

Step-by-step explanation:

The area of a circle is equal to A = πr²

π = 3.14159 ...

       -> it is a value that goes on forever, most calculators will have a button for this, it is called "Pi" or "π"

r = the radius

       -> this is the distance of half the width of the circle. You can see the parts of a circle attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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Answer:

y=\(-\frac{4}{3}\)x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is \(-\frac{4}{3}\), and we can substitute it into our equation, which is completed and is now

y=\(-\frac{4}{3}\)x+2

I hope this helps you out!! Have an awesome day ^^

Answer:C=2πr=2·π·2≈12.56637in

Step-by-step explanation:

Answer:

1 min .234 sec

Step-by-step explanation:

3 min 25 sec to fill 75 litre gas tanks

how many min will fill 55 lite gas

lets convert 3 min 25 sec to seconds

3 min = 3 × 60 sec

60 + 25 = 85 sec

85 sec = 75

x sec = 55

cross multiply

75x = 85 × 55

75x = 4675

x = 4675/75

x = 62.33333333 sec

convert (62.3333333) sec to min

62.34 ÷ 60 = 1 min 2.34 sec

The contrapositive of the conditional statement is D. If the graph of two variables is not a linear function, then the two variables are not directly proportional.

"In the event that the graph of two variables fails to exhibit linearity, it can be inferred that the two variables are not directly proportional.

This contrapositive statement provides an alternative perspective on the relationship between variables and the nature of their corresponding graphs.

By examining the contrapositive, we employ an analytical approach that explores the logical implications arising from the negation of the original conditional statement. Consequently, if the graph of two variables deviates from the linear pattern, it leads us to the logical conclusion that the variables themselves are not directly proportional.

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True: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.

A regression is a statistical technique that relates a dependent variable to one or more independent (explanatory) variables. A regression model is able to show whether changes observed in the dependent variable are associated with changes in one or more of the explanatory variables

True. Regression calculations involve complex mathematical computations and analyzing large datasets, which can be time-consuming and prone to errors if done manually. Using a computer with specialized software can automate the process, making it faster, more accurate, and efficient.

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Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Answer: veasy

Step-by-step explanation: it is a rectangle then it's area will be length *breadth =45cm*26=1170cm^2.

Answer:

1170 or 0.117 m^2

Step-by-step explanation: