In Exercise 25, as the value of x increases, what happens to the value of 3*?

As per the concept of number, there are nine hens are died in the chapter 7 of animal farm.

The term number in math refers an arithmetic value used to represent quantity.

Here we need to find Who dies in chapter 7 of Animal Farm.

According to the concept that explained in chapter 7, we have know that the collapse of the windmill makes the animals are starving.

In this stage they put on a good face for the outside world.

But the hens will find out that their eggs will be taken.

At the time of take, they are try to rebel, due to the protest they're starved via control of the teeth-baring dogs and that leads the death of nine hen.

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Answer:

62

Step-by-step explanation:

The answer should be .7

Answer:

0.7

Step-by-step explanation:

Step 1:

21÷30= 7÷10

Step 2:

7÷10= 0.7

The position of a mass attached to a spring can be determined using the function c₁e^(αt) + c₂e^(βt), where c₁ and c₂ are constants, and α and β are the solutions to the characteristic equation.
By solving the equation and applying initial conditions, the position of the mass after t seconds can be determined.

The position of the mass after t seconds can be represented by the function c₁e^(αt) + c₂e^(βt), where c₁ and c₂ are constants, and α and β are the solutions to the characteristic equation. Given that the mass is 9 kg, the damping constant is 19, and the spring is stretched 1 meter beyond its natural length, we can calculate the value of c₂ - 4mk.

The characteristic equation for the system is given by mλ² + cλ + k = 0, where m is the mass, c is the damping constant, and k is the spring constant. In this case, m = 9 kg, c = 19, and k can be calculated as k = F/x, where F is the force required to hold the spring stretched and x is the displacement from the natural length. Plugging in the values, we find k = 2/0.5 = 4 kg/s².

Substituting the values into the characteristic equation, we have 9λ² + 19λ + 4 = 0. Solving this quadratic equation gives us the values of λ, which represent the values of α and β. Let's assume α is the larger root and β is the smaller root.

Once we have the values of α and β, we can write the position function as x(t) = c₁e^(αt) + c₂e^(βt). To determine the values of c₁ and c₂, we need initial conditions. In this case, the mass is released with zero velocity from a displacement of 1 meter beyond its natural length. This gives us x(0) = 1 and x'(0) = 0.

Using these initial conditions, we can solve for c₁ and c₂. Finally, the position of the mass after t seconds can be expressed as a function of t in the form c₁e^(αt) + c₂e^(βt).

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P(x, y) = 25(x + 4)^2 + 21(y + 3)^2 - 4725 = 0

To find the equation of the ellipse with foci at (-4,3) and (-4,-9) and whose major axis has length 30, we can use the following formula: c^2 = a^2 - b^2, where c is the distance from the center to either focus, a is the length of the semi-major axis (half the length of the major axis), and b is the length of the semi-minor axis (half the length of the minor axis).The center of the ellipse is the midpoint between the two foci:((-4, 3) + (-4, -9))/2 = (-4, -3)

The distance between the center and each focus is:c = 6 (distance from (-4, -3) to (-4, 3) or (-4, -9))

The length of the semi-major axis is 15 (half of 30, the length of the major axis).We can now find the length of the semi-minor axis using the formula above:b^2 = a^2 - c^2b^2 = 15^2 - 6^2b^2 = 225 - 36b^2 = 189b = sqrt(189)

The equation of the ellipse in standard form is:P(x, y) = (x + 4)^2 / 225 + (y + 3)^2 / 189 = 1

Multiplying both sides by 225 and simplifying, we get:P(x, y) = 25(x + 4)^2 + 21(y + 3)^2 - 4725 = 0

Therefore, the equation of the ellipse with foci at (-4,3) and (-4,-9) and whose major axis has length 30 is P(x, y) = 25(x + 4)^2 + 21(y + 3)^2 - 4725 = 0.

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Answer b,since the lines will intersect at one point, this system has one solution:

Step-by-step explanation:

Took the test

Answer:

B

Step-by-step explanation:

Answer:

not bad bvdbfsgbdggdgbcfhxfj

Answer:

\(a^4b^{-5}\text{ or }\frac{a^4}{b^5}\)

Step-by-step explanation:

\(\displaystyle \frac{a^2b^{-3}}{a^{-2}b^2}=a^{2-(-2)}b^{-3-2}=a^4b^{-5}=\frac{a^4}{b^5}\)

Answer:

c is the correct answer

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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________

\( \: \)

5x - 10 = 20

5x = 20 + 10

5x = 30

x = 30 ÷ 5

x = 6✔

Answer:

The probability of pulling a blue marble from the bag is;

Explanation:

Given that there are 2 blue, 5 yellow, and 3 white marbles in a bag.

The total number of marbles in the bag is;

The probability of pulling a blue marble from the bag will be;

Substituting the given values;

Therefore, the probability of pulling a blue marble from the bag is;

The simplified expression of (8i)(4i)(-9i) is 288i.

The given expression is (8i)(4i)(-9i).To simplify the expression, use the property of i as i^2 = -1.

According to the above property, i * i = i^2 = -1. Then multiply the numbers:

8i × 4i = 32i^2= 32 (-1)= -32 (since i^2= -1)

Now multiply -32 with -9i.

-32 (-9i)= 288i So, the value of the expression (8i)(4i)(-9i) is 288i.

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Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

The positive difference between the two probabilities is 11/35.

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even sum, Jan would consider the number of ways to choose three even numbers (4 choose 3) and divide that by the total number of combinations of three numbers (7 choose 3).

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even product, Judy would consider the number of ways to choose three numbers such that the product is even (3 choose 2) and divide that by the total number of combinations of three numbers (7 choose 3).

The positive difference between the two probabilities would be the difference between these two calculations. In this case, 11/35 is a positive difference, meaning that the probability of having an even product is 11/35 higher than the probability of having an even sum.

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To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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Answer:

D. 24

Step-by-step explanation:

The area of a triangle is \(\frac{1}{2} (bh)\).

The height is already given: 8

But we need to find the base and since the hypotenuse is given and it's a right triangle, we can use the pythagorean theorem. (Hypotenuse is longest, slanted side of a right triangle)

The pythagoren theorem is \(a^2+b^2=c^2\) where a and b are the sides, and c is the hypotenuse.

Plugging in the given values => \(8^2+b^2=10^2\)

We have to solve for b. So, squaring 8 and 10 we get \(64+b^2=100\).

Next, subtract 64 from both sides to get b by itself: \(b^2=36\)

Square root both sides to get \(b=6\).

Now that we have our base we can plug it in to the area of triangle formula: \(1/2(6*8)\).

Multiply inside the parenthesis: 1/2(48) => 24

Step-by-step explanation:

3.

we need to find the map size based on actual miles.

so, we find how many map ft are 1 actual mile :

5 ft / 20.5 corresponds to 1 actual mile.

5 / 20.5 = 10/41 ft

now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.

and so, this is

10/41 × 15.5 = 155/41 = 3.7804878048780... map ft

4.

30.5 model cm = 70.6 actual m

1 model cm = 70.6/30.5 = 2.314754098... actual m.

8 model cm = 8×2.314754098... =

= 18.51803279... actual m

5.

7 map m = 14 actual miles

1 map m = 14/7 = 2 actual miles.

14 map m = 14×2 = 28 actual miles.

6.

8 map km = 6 actual miles

we need to calculate the map km, so we need the standard actual mile

1 actual mile = 8/6 = 4/3 = 1.3333333... map km.

50.2 actual miles = 50.2×1.333333... =

= 66.93333333... map km.

7.

80.2 model cm = 40.2 actual m

1 model cm = 40.2/80.2 = 0.501246883... actual m

10 model cm = 10×0.501246883... =

= 5.01246883... actual m

8.

6 map m = 15 actual miles

1 map m = 15/6 = 5/2 = 2.5 actual miles

8.8 map m = 8.8×2.5 = 22 actual miles

9.

5 map ft = 16.5 actual miles

1 actual mile = 5/16.5 = 0.303030303... map ft

45.6 actual miles = 45.6×0.303030303... =

= 13.81818181... map ft

10.

65.8 model cm = 95.6 actual m

1 model cm = 95.6/65.8 = 1.452887538... actual m

12 model cm = 12×1.452887538... =

= 17.43465046... actual m

Answer:

A

Step-by-step explanation:

Given

x² - 13x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)

The factors are - 3 and - 10, since

- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus

x² - 13x + 30 = (x - 3)(x - 10) ← in factored form

Thus (x - 3) is a factor of the polynomial → A

Answer:

\((x - 3)\)

Answer A is correct

Step-by-step explanation:

\({x}^{2} - 13x + 30 \\ {x}^{2} - 10x - 3x + 30 \\ x(x - 10) - 3(x - 10) \\ = (x - 3)(x - 10)

\\ \)

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Answer:

The correct option is (b) 0.333.

Step-by-step explanation:

The data provided is as follows:

                        Hepatitis C           No hepatitis C           Total

No Tattoos              5                             50                        55

 1 Tattoo                 10                           210                      220

> 1 Tattoo                15                           150                       165

   Total                   30                           410                       440

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

\(P(E)=\frac{n(E)}{N}\)

The condition probability of an event A provided that another event X has already occurred is:

\(P(A|X)=\frac{P(A\cap X)}{P(X)}\)

The number of people who has hepatitis C is:

n (Hepatitis C) = 30

The number of people who has hepatitis C and one tattoo is:

n (Hepatitis C and 1 Tattoo) = 10

Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:

\(P(\text{Hepatitis C} |\text{1 Tattoo})=\frac{n(\text{Hepatitis C and 1 Tattoo})}{n(\text{1 Tattoo})}\)

                                       \(=\frac{10}{30}\\\\=\frac{1}{3}\\\\=0.333\)

Thus, the correct option is (b).

The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The table is given below.

                       Hepatitis C           No hepatitis C           Total

No Tattoos              5                             50                        55

1 Tattoo                 10                           210                      220

> 1 Tattoo                15                           150                       165

  Total                   30                           410                       440

The number of people who has hepatitis C is 30. And the number of people who has hepatitis C and one tattoo is 10.

The probability that he or she has hepatitis C, given that he or she has one tattoo will be

P = 10/30

P = 1/3

P = 0.333

The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.

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Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

C. 7.0 Liters

Step-by-step explanation:

You always start with the amount that was given to you. In this case it was 7.41 quarts. You then multiply it with the conversion factor (1 qt = 0.95L)

To convert quarts into liters, you must set up the problem so the quarts are able to cancel out, meaining one should be in the numerator and the ither should be in the denominator.

When the quarts are cancelled out, your answer will now be in liters.

Now you just multiply all the numerators and divide the denominators.

7.41 × 0.951 = 7.0395

7.0395/1 = 7.0395

Then you round the answer to 7.0

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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If the cost of one paperback book is less than $1, he would receive even more change.

To solve this problem, we need to know the cost of one paperback book. Unfortunately, that information is missing from the question. Without it, we cannot determine the total cost of the 5 paperback books and therefore cannot calculate Prakash's change.

However, we can make an educated guess based on the fact that the question mentions both paperback and hardcover books. Typically, hardcover books are more expensive than paperbacks, so we can assume that the cost of one paperback book is less than the cost of one hardcover book.

Assuming that each hardcover book costs $10, the total cost of 3 hardcover books would be $30. If Prakash gives the clerk $20 bills, he would pay $60 in total. If we subtract the cost of the 3 hardcover books ($30) from the total amount paid ($60), we are left with $30.

This is the maximum amount of change Prakash could receive if each paperback book costs $1.

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Answer:

the sea line

I am guessing

Step-by-step explanation:

Answer: I think it will the surface of the water

The value of W(4) is 10, based on the given information that W(0) = 10 and the fact that the Wronskian remains constant for all values of t.

To find the value of W(4), we need to determine the Wronskian of x1(t) and x2(t) at t = 4, given the information that W(0) = 10.

The Wronskian is defined as W(t) = x1(t)x2′(t) - x1′(t)x2(t), where x1(t) and x2(t) are solutions of the given differential equation.

Since W(0) = 10, we can substitute t = 0 into the Wronskian formula:

W(0) = x1(0)x2′(0) - x1′(0)x2(0) = 10.

Now we need to find the value of W(4). We don't have direct information about x1(t) and x2(t), so we cannot calculate the Wronskian explicitly. However, if we know that the Wronskian is a constant, then it remains the same for all values of t.

Therefore, W(4) = W(0) = 10.

In conclusion, the value of W(4) is 10, based on the given information that W(0) = 10 and the fact that the Wronskian remains constant for all values of t.

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