Please help! Image below.

To find the general solution of the given differential equation x dy/ dx − y = x^2 sin x, we must use a series of calculations.

First, we need to separate the variables, so y can be expressed as a function of x. To do this, we divide both sides of the equation by x, giving us the equation dy/dx = x sin x + y/x.

Next, we will need to use integration to find the general solution. To integrate, we need to find an antiderivative of the equation dy/dx = x sin x + y/x. To do this, we can use the formula ∫xdx = 1/2 x^2 + c. Using this formula, we can integrate both sides of the equation to get 1/2 x^2 + c = x sin x + ∫ y/x dx.

We can then solve for the antiderivative of y/x, which is ln|y| + c. Therefore, the general solution of the equation is 1/2 x^2 + ln|y| + c = x sin x + c.

Finally, we can solve for y in terms of x to get y = x^2 sin x + c'e^(1/2 x^2), where c' is the integration constant. This is the general solution of the given differential equation.

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Average annual tuition in 2020 is 14,286.70.

Value is the worth of something in terms of its usefulness, quality, or importance. It is the importance that an individual, group or organization places on something and is an important concept in economics, business and politics. Value can be seen as a measure of how much someone or something is worth, both in terms of money and in terms of intangible qualities, such as respect or admiration. Value is subjective, meaning that it is based on personal opinion and perspective.

Using a graphing calculator, the equation of the line of best fit is y = 96.98x + 11145.46. The slope of the line is 96.98 and the y-intercept is 11145.46.

By substituting x = 15 into the equation, the estimated average annual tuition in 2020 is 14,286.70. This can be rounded to the nearest hundred dollars, giving an estimate of 14,300 dollars.

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a) Pour déterminer le solde du compte au bout de 3 ans, nous devons utiliser la formule de l'annuité de fin de période. Il y a un total de 3 ans x 12 mois/an = 36 mois de capitalisation. Le taux d'intérêt par mois est de 6%/12 = 0.005. La somme déposée chaque mois est de 100 $. En utilisant la formule, nous pouvons calculer le solde final:

M = (R[(1 + i)^n −1])/i

M = (100 [(1 + 0.005)^36 −1])/0.005 = $51,664.23

b) Pour calculer le total de l'intérêt accumulé, nous pouvons soustraire le montant total des dépôts (100 $ x 36 mois = $3,600) au solde final du compte.

Intérêt accumulé = Solde final du compte - Montant total des dépôts

Intérêt accumulé = $51,664.23 - $3,600 = $48,064.23

En résumé, le solde final du compte après 3 ans est de 51,664.23 $ et l'intérêt accumulé est de 48,064.23 $.

J'espère que cela aide et a été correctement traduit haha

The tolerance interval that included 99% of the cadence values with a 95% confidence is equal to (0.634,1.218).

A tolerance interval is constructed using the following formula:

TI= overline x plus/minus t * o l k,n (s)

Let, k = 0.99 and n = 20

to l 0.99,20 =3.615

The following calculations are done to compute the tolerance interval:

TI= overline x plus/minus t * o l k,n (s)

= 0.9255 plus/minus 3.615 * (0.0809)

approx (0.634, 1.218)

In summary, with a 95% level of confidence, 99% of the cadence values fall within the tolerance interval of (0.634, 1.218).

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Answer: 25.0

Step-by-step explanation:

[tex]\frac{x}{\sin 65^{\circ}}=\frac{22}{\sin 53^{\circ}}\\\\x=\frac{22 \sin 65^{\circ}}{\sin 53^{\circ}}\\\\x \approx 25.0[/tex]

Using multiplication we know that the correct option in the given situation is (C) 1L for $1.80 which saves $0.30 when compared to (D).

Multiplying numbers is essentially the same as adding groups of numbers.

Multiplying is the process of repeatedly adding a number. (Before we can use the number to multiply, all of the digits must be the same.)

Learning the time's tables makes sense when seen in this light.

A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).

We multiplied the number five by four times.

Due to this, multiplication is occasionally referred to as "times."

So, now compare all options with option (D) as follows:

2L for $3.90

(A) 250 mL for $0.50  with (D) 2L for $3.90

0.50*8

$4 for 2L > 2L for $3.90

(B) 500 mL for $1.10  with (D) 2L for $3.90

1.10*4

$4.4 for 2L > 2L for $3.90

(C) 1L for $1.80 with (D) 2L for $3.90

1.80*2

$3.6 for 2L < 2L for $3.90

(Correct option)

Therefore, using multiplication we know that the correct option in the given situation is (C) 1L for $1.80 which saves $0.30 when compared to (D).

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Complete question:
Milk is sold in four sizes. Which is the better buy? 1 point

A. 250 mL for $0.50

B. 500 mL for $1.10

C. 1L for $1.80

D. 2L for $3.90

Answer:

24-6v-24x

Step-by-step explanation:

(-4 +v + 4x) × (-6)

Apply the Distributive Property:

- (-6) × 4+ (-6) × v + (-6) × 4x

Determine the sign:

6 × 4 - 6v - 6 × 4x

Calculate the product or quotient:

24 - 6v -6 × 4x

Multiply the monomials:

24 - 6v - 24x

Hope this helps you :)

Answer:

24-6v-24

Step-by-step explanation:

first distribute -6 to all other numbers as shown below.

(-4 . -6)+(v . -6)+(4x . -6)

then we will get 24-6v-24x

Answer: x =6 or x =-2

Step-by-step explanation:

|x−2|−7=−3

Step 1: Add 7 to both sides.|x−2|−7+7=−3+7|x−2|=4

Step 2: Solve Absolute Value.|x−2|=4 We know either x−2=4orx−2=−4x−2=4(Possibility 1)x−2+2=4+2(Add 2 to both sides)

x=6

and for other

x−2=−4(Possibility 2)x−2+2=−4+2(Add 2 to both sides)x = -2

In the grating equation nλ=d sin θ, the quantity θ will be determined in the lab by using meter sticks and geometry/trigonometry

The term equation is known as a mathematical statement that is made up of two expressions connected by an equal sign

Here we have given that the grating equation nλ=d sin θ, the quantity θ will be determined in the lab.

The term grating equation in math states that d = 1/N where N is the grating constant, and it is the number of lines per unit length and n is the order of grating, which is a positive integer, representing the repetition of the spectrum.

And the term trigonometry is defined as a branch of mathematics concerned with relationships between angles and ratios of lengths.

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The image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that the service sector has seen improvement in quality of service, but productivity remains about the same.

Improvement in quality of service:

Putting the customer first, balancing efficiency and customer satisfaction (experience), and focusing on employee engagement are three key strategies for improving contact center service quality.

Productivity:

Productivity is the efficiency with which goods and services are produced and is represented by a scale. A measure of productivity is often expressed as a ratio of total output to a single input or total input in a production process. Typically the output per unit of input over a period of time. The most common example is a measure of (aggregate) labor productivity, an example of which is GDP per worker. There are various definitions of productivity (including those not defined by the ratio of outputs to inputs), and the choice depends on the purpose of measuring productivity and the availability of data gain. The main reason for differences in different measures of productivity usually has to do with how outputs and inputs are aggregated (directly or indirectly) to obtain such relative measures of productivity doing conduct.

Importance of Productivity:

Productivity gains are defined as the process of getting more out of every hour of work. Improving productivity can take many forms, including: Capital, Investments in equipment, software, infrastructure, machinery, etc. equate to labor. Productivity is important for individuals (workers and consumers), business leaders, and analysts(such as policy makers and government statisticians).

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Answer:

91.1cm²

Step-by-step explanation:

since all of them are quarters of circles

area of figure 1 = (π(r.1)²)÷4 = (64π)÷4= 16π cm²

area of figure 2 = (π(r.2)²)÷4 = (25π)÷4= 6.25π cm²

area of figure 3 = (π(r.3)²)÷4 = (9π)÷4= 2.25π cm²

area of figure 4 = (π(r.4)²)÷4 = (4π)÷4= 4π cm²

area of figure 5 = (π(r.5)²)÷4 = (π)÷4 cm²

area of figure 6 = (π(r.6)²)÷4 = (π)÷4 cm²

the total area = 16π+6.25π+2.25π+4π+2(π÷4)=

28.5π+0.5π = 29π = 91.1cm²

If henry can  70 words in 5 minutes and that in 8 minutes he can type 112 words the rate of change is 14.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Henry can type 70 words in 5 minutes and that in 8 minutes he can type 112 words.

m=112-70/8-5

=42/3

=14

Hence, the rate of change is 14.

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Answer:

8 m

Step-by-step explanation:

Volume of a sphere is V = 4/3 π r³.

Volume of a cylinder is V = π r² h.

The two volumes are equal, so:

4/3 π r³ = π r² h

4/3 r = h

The radius is 6 m, so the height of the cylinder is:

h = 4/3 (6 m)

h = 8 m

Answer:

The height of the cylinder is 8m.

Step-by-step explanation:

Given, the Radius and Volume of the cylinder and sphere are equal.

Radius, r = 6m

Formula,

Volume of the sphere =  [tex]\frac{4}{3}\pi r^{3}[/tex]

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

⇒ Volume of the cyliner =  Volume of Sphere

⇒  [tex]\frac{4}{3}\pi r^{3}[/tex] =    [tex]\pi r^{2}h[/tex]

⇒  [tex]h = \frac{4\pi r^{3} }{3\pi r^{2} }[/tex]

⇒  [tex]h = \frac{4r}{3}[/tex]

⇒  [tex]h = \frac{4 * 6}{3}[/tex]

⇒ h = 8m

When there are 1,014 elementary and middle school pupils, X2 = 175 students from each grade level participate in the science competition.

When the standard deviation is low and high, it is argued that data are more evenly distributed and more densely clustered around the mean, respectively. The standard deviation is a measurement of how widely the data are scattered from the mean value. Comparing data sets that may have the same mean but a distinct range may be aided by it. For example, the means of the two integers 15, 15, 15, 14, 16, and 2, 7, 14, 22, 30 are identical. The second, though, is obviously wider.

given

X1

u1 = 400             u2 = 100

20                          25

X2

Z1 score = Z2 score

X1 - u1 / 20    =    X2 - u2 / 25

460 - 400 / 20   =  X2 -100 / 25

3 = X2 - 100 /25

X2 = 175 score on exam b

When there are 1,014 elementary and middle school pupils, X2 = 175 students from each grade level participate in the science competition.

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One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

We can write a system of inequalities to represent the situation as follows:

6x + 5y ≥ 90 (because Cameron must spend at least $90 on drinks and candies)

x + y ≥ 18 (because Cameron must buy at least 18 drinks and candies altogether)

x ≥ 0, y ≥ 0 (because Cameron can't buy negative number of drinks or candies)

To graphically represent the solution set of this system, we can plot the inequalities on a coordinate plane. We can start by drawing the line representing the first inequality: 6x + 5y = 90. To find the slope-intercept form of this equation we can subtract 90 from both sides, 6x + 5y - 90 = 0, and we get: 6x + 5y = 90.

The second inequality is x + y ≥ 18 which is a boundary line.

The third inequality is x ≥ 0 and y ≥ 0 which means that both x and y should be non-negative.

The solution set of this system of inequalities is the intersection of the half-planes defined by the inequalities. This is the set of all points that lie in all three half-planes. One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

Therefore, One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.

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Using the central limit theorem to find the mean is 5.4 and the standard error of the mean of the indicated sampling distribution is 0.6.

We must utilize the central limit theorem to determine the mean and standard error of the mean of the sample distribution in the given query.

Considering the posed query,

The company has a mean age of 5.4 years and is normally distributed.

2.1 years of standard deviation.

The population is sampled at random with an n = 12 size, and the mean of each sample is calculated.

The mean is determined using the central limit theorem.

μ(x) = μ = 5.4

The standard error of the mean of the indicated sampling distribution is:

σ(x) = σ/√n

σ(x) = 2.1/√12

σ(x) = 2.1/3.5

σ(x) = 0.6

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Answer: 60in²

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

So to solve this, you need to know how to find the area of a trapezoid.

In case you don't know this equation, I'll explain it briefly.

The area of a trapezoid = (a+b)*h/2, where a and b are the base lengths and h is the height of the trapezoid.

We can solve this problem using this equation, which would look like:

Area = (9+11)*6/2

= 20*6/2

= 60

To check if two ratios are equivalent, you can divide both ratios by the same number until you reach the same result. For example, if you divide both 1/2 and 3/6 by 2, you will get the same result of 1/3.

To check if two ratios are equivalent, you can divide both ratios by the same number until you reach the same result. For example, if you divide both 1/2 and 3/6 by 2, you will get the same result of 1/3.

1. Take both ratios, 1/2 and 3/6

2. Divide both ratios by the same number, in this case 2.

3. This will give you the equivalent results of 1/3.

4. Therefore, 1/2 is equivalent to 3/6.

To check if two ratios are equivalent, divide both ratios by the same number until you reach . In this case, 1/2 is equivalent to 3/6.

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The best course of action would be to politely decline the offer and explain to your friend that you still have to finish the assignment.

Minutes is a record of the proceedings of a meeting or other event. It is typically written by the secretary of the meeting and contains a summary of the main points discussed, decisions taken, and any action points arising from the meeting. Minutes are an important part of any organization as they provide a record of the decisions taken and an opportunity for review. Minutes can also help to keep everyone on track and ensure that everyone is aware of their responsibilities.

Even though your friend may be disappointed, they will understand. It is important to prioritize your school work and stay on top of assignments, so you should continue to work on the task at hand.

If you find yourself struggling to stay focused, it can help to break down the assignment into manageable chunks and set a timer for each chunk. This can also help you stay on track with the time limit that your professor gave you. Additionally, taking a few minutes to get up and stretch or grab a snack can help you stay energized and productive.

If you need additional help, reach out to your professor or a tutor. You can also ask a classmate for help or advice. Your professor likely will not mind if you ask for an extension on the assignment, as long as it is reasonable and you provide a valid reason.

Remember, it is important to prioritize your school work and stay on top of assignments. It is ok to take breaks and accept help, but be sure to stay focused on the task at hand.

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Step-by-step explanation:

y = 37 + x

the 4th angle (bottom right) is

360 - 90 - 90 - 125 = 55°

because the sum of all angles in any quadrilateral is 360°.

now we can assume a right-angled triangle on the right side of the trapezium.

one leg is 15 cm (like the left side), the other leg is x cm. and the right side of the trapezium is the Hypotenuse.

the bottom right angle is 55°.

the upper angle is 125 - 90 = 35°.

we can use the law of sine to get x.

the law of sine is

a/sin(A) = b/(sin(B) = c/sin(C)

with a, b, c being the sides of the triangle opposite of the corresponding angles A, B, C.

so,

15/sin(55) = x/sin(35)

x = 15×sin(35)/sin(55) = 10.50311307... cm

y = 37 + 10.50311307... = 47.50311307... ≈

≈ 47.5 cm

Answer: 72

Step-by-step explanation: (Look at the attachment for the best experience)

First, we need to know how to set up our table. So, sometimes we need to divide and then multiply to find the equivalent ratio. So now we can piece information together to find the missing numbers. So, the far left is the information we are given. So, both of them can be divided by 5 (as the highest) and then we get 2 and 9. Then, since we know that we can multiply 2 by 8 to get 16, we do the same for 9. So, 9 x 8 = 72, making that how many tokens Bora can pay with only 16 dollars. I hope this helped!

Answer:

Step-by-step explanation:

83

To find the number of females who are not enrolled in Composition I, we can look at the table and find the total number of females and subtract the number of females who are enrolled in Composition I.

The total number of females is found in the "Column Totals" row, in the second column, and is 251.

The number of females enrolled in Composition I is found in the "Males" row, in the second column, and is 46.

So the number of females who are not enrolled in Composition I is:

251 (total number of females) - 46 (females enrolled in Composition I) = 205

Therefore, the answer is 83.

The value of y in the rectangle is 11.

A rectangle is a quadrilateral with opposite sides equal to each other. The opposite side are also parallel to each other.

The diagonal of a rectangle divides it into two congruent right triangles. The diagonals also bisect each other. The diagonals are congruent.

Therefore, the length BE is equals to length BC.

Hence,

BE = BC

BE = 4y - 26

BC = 3y - 15

Therefore, let's find y in the rectangle.

BE = BC

4y - 26 = 3y - 15

4y - 3y = -15 + 26

y = 11

Therefore,

y = 11

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Answer:

5/4 should be the answer.

Step-by-step explanation:

2 divided by 8/5 = 5/4

Answer:

Step-by-step explanation:

x is 5/4

8x/5=2

8x=10

x=5/4

Therefore ,as a result, 42/5 is the value of the first term in the equation for the arithmetic mean.

The arithmetic average or means of the group is calculated as the sum of each value in a list divided by the total number of things in that list. The progression in mathematics is the same as this. The average of the integers 5, 7, and 9 is 4, as shown by the equation 5 + 7 + 9 being equal to 21, and 21 divided by 3 (there are actually three numbers) being equal to 7.

Here,

Given :

5 a + 10 d = 70 in the first five terms (1)

The first ten terms add up to 10 a + 45 d = 210. (2)

This means that in order to solve the system for a, multiply equation (1) by 2, then subtract it from equation (2):

=> 10a - 10a + 45d - 20d = 210-140

=> 25d = 70

=> d = 70/25

=> d = 14/5

A value then becomes:

5a + 10*14/5 = 70;

5a = 70-140/5;

5a = 350-140/5;

a = 42/5.

42/5 is the response.

As a result, 42/5 is the value of the first term in the equation for the arithmetic mean.

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On the social and economic structure of the United States, the agricultural tractor had a significant influence.

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The third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

Let's call the amount of land ploughed by the third driver "x".

The second driver ploughed 2.4 more than the third driver, so they ploughed x + 2.4.

The first driver ploughed half of what the second driver ploughed, so they ploughed (x + 2.4)/2.

In total, the three drivers ploughed x + (x + 2.4) + (x + 2.4)/2 = 3.5x + 4.2 hectors of land.

We know that the total amount of land ploughed is 12.4 hectors, so we can set up an equation:

3.5x + 4.2 = 12.4

Solving for x:

3.5x = 8.2

x = 2.3

So the third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

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The probability is 7/72 that each of the final three rolls is at least as large as the roll preceding it.

Let [tex]N_{i}[/tex] represent the number appearing on die when die is rolled ith time,

i=1,2,3,4

Given that [tex]N_{1}[/tex]≤[tex]N_{2}[/tex]≤[tex]N_{3}[/tex]≤[tex]N_{4}[/tex]

Each time when a die is rolled, six options are there.

Let we have four equal sets

{1,2,3,4,5,6}, now we have to select four numbers such that, exactly one number is selected from each set

Case 1: All four are same

Number of ways:⁶C₁ =6

Case 2: Three are same but one is different

Number of ways: ⁶C₁ ⁵C₁ =30

Case 3: Two are same of one kind and two are same of second kind

Number of ways: [tex]\frac{1}{2}[/tex] ⁶C₁ ⁵C₁=15

Case 4: Two are same and two are different

Number of ways: ⁶C₁ ⁵C₂=60

Case 5: All four are different

Number of ways: ⁶C₄=15

Required probability:

=[tex]\frac{6+30+5+60+15}{6*6*6*6}[/tex]

=[tex]\frac{126}{36*36}[/tex]

=[tex]\frac{72}{7}[/tex]

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Answer:

the angle that corresponds to AC IS PF

The annual dividend per share of Exxon Mobil (XOM) is $3.60 and the annual yield is 4.15%. Multiply the result by 100 to get the annual yield in percentage: 0.0415 x 100 = 4.15%

Annual dividend per share: $3.60

Annual yield: 4.15%

1. To find the annual dividend per share, divide the increase in shares (1.6) by the number of shares owned before the reinvestment (400).

1.6/400 = 0.004

2. Multiply the result by the current share price of XOM ($86.40):

0.004 x 86.40 = $3.60

3. To find the annual yield, divide the annual dividend per share by the current share price of XOM ($86.40):

3.60/86.40 = 0.0415

4. Multiply the result by 100 to get the annual yield in percentage:

0.0415 x 100 = 4.15%

The annual dividend per share of Exxon Mobil (XOM) is $3.60 and the annual yield is 4.15%.

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