Please help ASAP I’m stuck!!!

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

a. $22.2

b= 13.32/x=3/5

Step-by-step explanation:

13.32/x=3/5

13.32×5=66.6

66.6/3=22.2

x(present cost)=$22.2

Answer:

22.20$

3/5 * cost = 13.32

Step-by-step explanation:

3/5 * cost (total price) = 13.32 (we know that 3/5 of the price is 13.32)

to solve

5/3 to cancel out 3/5 and isolate the cost

5/3 * 13.32 = 22.20

Answer:

(2,1)

Step-by-step explanation:

basically just subract them by eachother

Answer:

Step-by-step explanation:

kx then is 5 = (x1 + 3) / 2

10 =x1 + 3

7 = x1

ky then is 3 = (y1+2)/2

6 = y1+2

4=y1

K=(7,4)

Answer:

9m

Step-by-step explanation:

Both of them are divisible by 9 and 1 m

When you factor and pull out 9m, you will get

9m (1 + 3m)

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

x = 1 or x = -9

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 8 x - 9 = 0

Hint: | Solve the quadratic equation by completing the square.

Add 9 to both sides:

x^2 + 8 x = 9

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 25

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 25

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = 5 or x + 4 = -5

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = 1 or x + 4 = -5

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = 1 or x = -9

The total amount of cash received from the sale given by percentage is $1,336,000.

From the question, we can conclude that :

The bonds cost = $1,002,000

Percentage issued = 3/4 = 75%

We can assume that the total amount of cash received from the sale is 100%.

Hence, we can write the formula of cash received depending on the bond cost and percentage given by :

( percentage issued ) / (total) = (bond cost) / (total amount)

( percentage issued ) / (total) = (bond cost) / (total amount)

(75 %) / (100%) = $1,002,0000 / (total amount)

3 / 4 = $1,002,0000 / (total amount)

by cross multiplication

3 x (total amount) = 4 x $1,002,000

3 x (total amount) = $4,008,000

(total amount) = $4,008,000 / 3

(total amount) = $1,336,000

So the total amount of cash received from the sale given by percentage is $1,336,000

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After establishing a correlation, a researcher can use a regression equation to predict the dependent variable from the independent variable.

Once a reasonably high correlation between two variables has been established, a researcher can employ a regression equation to make predictions about the dependent variable based on the independent variable. Regression analysis allows for the estimation of the relationship between the variables and provides a mathematical model that describes this relationship.

By utilizing the regression equation, the researcher can input values of the independent variable to obtain predicted values of the dependent variable. This enables the researcher to make informed predictions or projections regarding the behavior or outcome of the dependent variable.

However, it is important to consider the limitations and assumptions of the regression model when interpreting and applying the predictions obtained from the equation.

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It will multiply by 3.8 each week while the ant colony will add 3.8 each week.

The correct answer is: The bee hive is growing at a faster rate.

Based on the information provided, the growth rate of the ant colony and the bee hive can be compared to determine which insect population is growing at a faster rate.

According to the given function:

Ant Colony Growth: y = 3.8x

Bee Hive Growth: y = 3.8^x

The ant colony population is growing at a rate represented by the equation y = 3.8x, where the population increases by 3.8 units for each additional week (x).

On the other hand, the bee hive population is growing at a rate represented by the equation \(y = 3.8^x,\)

where the population increases exponentially with each additional week (x).

Comparing the two growth rates, we can observe that the ant colony population increases linearly by a fixed amount of 3.8 each week.

In contrast, the bee hive population grows exponentially, with the growth rate being 3.8 raised to the power of the number of weeks.

Since exponential growth tends to accelerate more rapidly compared to linear growth, we can conclude that the bee hive is growing at a faster rate than the ant colony.

The bee hive's population will multiply by 3.8 for each additional week, while the ant colony's population will only add 3.8 each week.

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Answer:

Step-by-step explanation:

Yes 7/8= 0.875. 2/5 is equal to 0.40

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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The push operation is called 9 times to evaluate the given postfix expression. The correct option is C) 9.

Postfix expression refers to an expression in which the operator follows the operands. It is also known as the Reverse Polish Notation (RPN). A stack data structure is used to evaluate postfix expressions.

The given postfix expression is 6 4 + 3 10 * + 2 2 - +.

To evaluate the expression, the stack data structure is used:

Step 1: Push 6 into the stack.

Step 2: Push 4 into the stack.

Step 3: Pop 4 and 6 from the stack and add them. Then push the sum (10) into the stack.

Step 4: Push 3 into the stack.

Step 5: Push 10 into the stack.

Step 6: Pop 10 and 3 from the stack and multiply them. Then push the product (30) into the stack.

Step 7: Pop 30 and 10 from the stack and add them. Then push the sum (40) into the stack.

Step 8: Push 2 into the stack.

Step 9: Push 2 into the stack.

Step 10: Pop 2 and 2 from the stack and subtract them. Then push the difference (0) into the stack.

Step 11: Pop 0 and 40 from the stack and add them. Then push the sum (40) into the stack.

Therefore, the push operation is called 9 times to evaluate the given postfix expression. The correct option is C) 9.

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7.051 can be written as the fraction 7051/1000.

To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.

Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.

Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.

Therefore, 7.051 can be expressed as 7051/1000.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.

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Answer:

A

Step-by-step explanation:

I like math

Answer:

Answer is A

Step-by-step explanation:

edge2021

The argument is valid. The argument is valid based on the direct truth-table method.

To test the validity of the argument, we can use the direct truth-table method. Let's break down the argument and construct the truth table for the given premises and the conclusion:

Premises:

G ⊃ H

R ≡ G

~H v G

Conclusion:

R • H

Constructing the truth table:

We have three propositions: G, H, and R. Each proposition can have two truth values, true (T) or false (F). Therefore, we need 2^3 (8) rows in the truth table to evaluate all possible combinations.

By evaluating the truth table, we find that in all rows where the premises (1, 2, 3) are true, the conclusion (R • H) is also true. There is no row where the premises are true, but the conclusion is false. Therefore, the argument is valid.

The argument is valid based on the direct truth-table method. This means that if the premises (G ⊃ H, R ≡ G, ~H v G) are true, then the conclusion (R • H) must also be true.

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a. The sample mean for U is 21.55 and the sample mean for F is 8.39.

b. sample median for U is 17 and the sample median for F is 8.

c. trimmed mean for U is 17 and the trimmed mean for F is 7.95.

d. trimmed percentage for U is 18.18% and the trimmed percentage for F is 13.33%.

a) Sample mean can be calculated by adding values and dividing the sum by the number of the values.

< Strong > Mean(U) < / Strong > =

\(\frac{6.0 +5.0 + 11.0 + 33.0 + 4.0+5.0+80.0+18.0 + 35.0+17.0+23.0}{11}\) = 21.55

< Strong > Mean(F) < / Strong > =  \(\frac{2.0 + 15.0 + 12.0 + 8.0 + 8.0 + 7.0 + 6.0 + 19.0 + 3.0+9.8+22.0+9.6+2.0+2.0+0.5}{15}\) = 8.39

b) Sample median is the middle value of a sorted sample:

Sorted(U)= [ 4.,  5.,  5.,  6., 11., 17., 18., 23., 33., 35., 80.]

Sorted(F)=[ 0.5,  2. ,  2. ,  2. ,  3. ,  6. ,  7. ,  8. ,  8. ,  9.6,  9.8, 12. , 15. , 19. , 22.]

Median(U)=17, which is the 6th (middle) value

Median(F)=8, which is the 8th (middle) value

c) If we delete the smallest and largest observation, we have:

U= [  5.,  5.,  6., 11., 17., 18., 23., 33., 35., ]

F= [ 2. ,  2. ,  2. ,  3. ,  6. ,  7. ,  8. ,  8. ,  9.6,  9.8, 12. , 15. , 19. ]

Using the above equation for the new samples, we have:

TrimmedMean(U)= 17

TrimmedMean(F)=7.95

d) Trimming percentages can be found by dividing the number of removed values by the old sample size

That is, for U: \(\frac{2}{11} = 0.18\) 18.18%

for F: \(\frac{2}{15} = 0.13\) ,13.33%

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Answer:

7 is the right answer.

solution,

5x - 10 < 25

5x < 25 + 10

5x < 35

X < 35/5

X < 7

Hope this helps...

Good luck on your assignment..

Answer:

I'm assuming when you say the total of $504 you mean just between Josh and his sister? If so, Josh earned $216 and his sister earned $288

Step-by-step explanation:

Set each person in terms of X. If Josh's sister earned $93 dollars more than her mom, set the equation as (x+93). Since Josh earned $72 less than his sister, he essentially earned 21 dollars more than his mom (x+21). Add those two equations together and set them equal to $504 dollars. Solve for X and solve each equation individually with your answer to find how much each earned.

Answer:

your friend by 50 seconds

Step-by-step explanation:

150 divided by 3 equals to 50 so you would also divide 120 minutes by 3 to get 40

You: 50 meters per 45 seconds

Friend: 50 meters in 40 seconds

50 times 10 equals 500 meters so we will multiply both number of seconds by 10

You:45*10=450

Friend: 40*10=400

450>400 so the friend swims the fastest

450-400= is 50 seconds

So the friend swims the fastest by 50 seconds

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

please mark as brainliest

Answer:

a = 10

Step-by-step explanation:

The image is showing a linear pair which equals 180°
104° is shown.

If you take 180° and subtract 104° you should get the answer to what (8a -4)° should equal to.

180° - 104° = 76°

Your equation should look like : 8a - 4 = 76°
-- Add 4 to both sides

8a - 4 = 76°
     +4    +4

= 8a = 80
-- Divide 8 on both sides

8a/8 = 80/8

a = 10

Proof:

8(10) - 4 =
80 - 4 = 76°

104° + 76° = 180°

Hope this helps!
--Blu

Suppose x and y are proportional. 3rd , 4th and 5th options are correct.

What is proportional in an equation?

Given that  x and y are proportional ,

then ,    x = my  for some constant m

       Δx = Δ (my)   ⇒ m Δy

∴ 3rd option is correct .

          x = my

          y = 1/m x ⇒ kx

∴ 4th option is correct.

the points ( 0,0) satisfies x = my

the point ( 0, 0 ) is on the graph of y in terms of x .

∴ 5th option is correct .

  y = kx

Δy = Δ ( kx)  ⇒ k Δx

∴ 1st option is not true .

y = 2x also implies x and y are proportional .

∴ 2nd  option is not true .

∵ 3rd , 4th and 5th options are correct.

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The complete question is -

Suppose x and y are proportional. Which of the following statements are true? Select all that apply. Ay = kx, where k is constant Oy=3 D Ax = mAy, where m is constant Oy kä, where k is constant The point(0, 0) is on the graph of y in terms of

Answer:

c mark me as brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

3(x-4)=12  Equation/Question

Step 2

3(x-4)=12  Remove parenthesis

3x-12=12

Step 3

3x-12=12  Add 12 to sides

3x=24

Step 4

3x=24  Divide sides by 3

answer

x=8

Hope this helps

The null hypothesis is: null is 1.32
The alternative hypothesis is: null is greater than 1.32
The test statistic is: a. 4.065
The critical value is: a. qt(p=0.975, df=49) = 2.009

In this scenario, the null hypothesis (H0) is that the average number of people an infected child infects is equal to the average number of people an infected adult infects, which is 1.32. The alternative hypothesis (H1) is that an infected child infects more people than an infected adult, so the average is greater than 1.32.

To calculate the test statistic, we use the t-test formula: (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). In this case, it would be (1.55 - 1.32) / (0.8 / sqrt(50)), resulting in a test statistic of 4.065.

To find the critical value, we use the t-distribution table with a significance level of 0.05 and degrees of freedom equal to the sample size minus 1 (50 - 1 = 49). The critical value is found by looking up the value of qt(p=0.975, df=49), which is 2.009.

Since the test statistic (4.065) is greater than the critical value (2.009), we reject the null hypothesis in favor of the alternative hypothesis. This means that there is significant evidence to suggest that, on average, an infected child in school infects more people than an infected working adult does.

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