Evaluate using integration by parts. f(x+4) ln x dx O 0x² In x-x² + 4x + C Ox² In x-x² - 4x + C O in x-x² - 4x + C In: 0x² In x-x² + C

Answer:

  (w -3)(w +10)

Step-by-step explanation:

The product of two binomial factors looks like ...

  (x +a)(x +b) = x² +(a+b)x +ab

This means you want to find values 'a' and 'b' such that ...

You can do this by looking at factor pairs of -30 that have positive sums:

  -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The sums of these factor pairs are 29, 13, 7, 1. You want the factor pair with a sum of 7, so 'a' = -3 and 'b' = 10.

  w^2 +7w -30 = (w -3)(w +10)

Answer:

d=(ab+c+f)/e

Step-by-step explanation:

ab+c=de-f

de=ab+c+f

d=(ab+c+f)/e

Answer:

d = (ab + c + f)/e

BRAINLIEST, PLEASE!

Step-by-step explanation:

ab + c = de - f

ab + c + f = de

d = (ab + c + f)/e

The substitution effect, denoted by ε*, measures the change in quantity demanded of q1 due to the relative price change, while the income effect, denoted by θξ, measures the change in quantity demanded of q1 due to the change in purchasing power. The total effect, denoted by ε, combines both the substitution and income effects.

To calculate the substitution effect, we need to evaluate the price elasticity of demand for q1, which measures the responsiveness of quantity demanded to a change in price. The income effect depends on the income elasticity of demand, which measures the responsiveness of quantity demanded to a change in income. These elasticities can be calculated using the given utility function, but specific price and income data are required.

Without the actual price and income data, it is not possible to provide the exact numerical values for the substitution, income, and total effects. The effects can only be determined with the necessary information and by performing the appropriate calculations using the utility function. The values of ε*, θξ, and ε will depend on the specific price and income changes that are considered.

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Answer:

6.4008

Step-by-step explanation:

Answer: 27 and 9

Step-by-step explanation:

Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.

Hello!

Please remember that

What is a variable?

So a coefficient is basically a number before a letter (like 27x)

Hence, the coefficients are

\(\boxed{\boxed{\bold{27~and~9}}}\)

Hope everything is clear.

Let me know if you have any questions!

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:-)

The choice function c satisfies finite nonemptiness and choice coherence, but there does not exist a utility function U , which does not contradict the Fundamental Theorem of Mindless Economics.

A. To show that the choice function c satisfies finite nonemptiness, we need to demonstrate that for each choice set Bn, c(Bn) is non-empty.

To show that the choice function c satisfies choice coherence, we need to demonstrate that for any two choice sets Bn and Bm, if Bn ⊆ Bm, then c(Bn) ⊆ c(Bm).

From the given information, we have B1 = {x, y}, B2 = {y, z}, and B3 = {x, z}. Let's consider the possible pairs of choice sets:

B1 and B2: B1 ⊆ B2 since {x, y} is a subset of {y, z}. In this case, c(B1) = {x} and c(B2) = {y}. We can observe that {x} ⊆ {y}, which satisfies the condition of choice coherence.

B1 and B3: B1 ⊆ B3 since {x, y} is a subset of {x, z}. In this case, c(B1) = {x} and c(B3) = {z}. We can observe that {x} ⊆ {z}, which satisfies the condition of choice coherence.

B2 and B3: B2 ⊈ B3 since {y, z} is not a subset of {x, z}. Therefore, the condition of choice coherence does not apply in this case.

Overall, the choice function c satisfies finite nonemptiness and choice coherence, except for the pair of choice sets B2 and B3.

B. To show that there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula c(Bn) = {x ∈ Bn : U(x) ≥ U(y) for all y ∈ Bn}, we need to demonstrate that such a utility function does not exist.

Let's consider the pairs of choice sets B1 and B2:

For B1 = {x, y}, we have c(B1) = {x}. To satisfy the usual formula, we would need a utility function U(x) ≥ U(y). However, since there is no order or preference provided for x, y, and z, we cannot assign numerical values to them in a way that U(x) ≥ U(y) holds.

Similarly, for B2 = {y, z}, we have c(B2) = {y}. Again, we cannot assign numerical values to y and z that satisfy U(y) ≥ U(z) since there is no preference or order specified.

Therefore, there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula.

C. The answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics because the choices made by the individual in this scenario do not adhere to the assumptions of utility maximization based on preferences.

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The complete question is:

Suppose X = {X, Y, Z}, And B = {B1 , B2 , B3} Where B1 = {X, Y}, B2 = {Y, Z} And B3 = {X, Z}. We Have The Following Information About An Individual’s Choice Function: C (B1) = {X}, C (B2) = {Y}, And C (B3) = {Z}, A. Show That C Satisfies Finite Nonemptiness And Choice Coherence. B. Show That There Does Not Exist A Utility Function U : {X, Y, Z} → R, That Can.

Suppose X = {x, y, z}, and B = {B1 , B2 , B3} where B1 = {x, y}, B2 = {y, z} and B3 = {x, z}. We have the following information about an individual’s choice function:c (B1) = {x}, c (B2) = {y}, and c (B3) = {z},A. Show that c satisfies finite nonemptiness and choice coherence.

B. Show that there does not exist a utility function U : {x, y, z} → R, that can produce these choices via the usual formula (discussed in class): c (Bn) = {x ∈ Bn : U (x) ≥ U (y) for all y ∈ Bn} , for n = 1, 2, 3.

C.Explain why your answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics.

a random variable with the probability distribution, the required value of Hg(x) is 52 2/3.

Here is the solution to your problem as you asked:

Let X be a random variable with the probability distribution below

For x = 2, f(2) = 1/6

For x = 4, f(4) = 2/6

For x = 6, f(6) = 3/6

We have to find Hg(x).

Now, we have, g(x) = (2x + 2)²

Substituting X = 2, 4, and 6 in the above expression, we get:

g(2) = (2(2) + 2)² = 16

g(4) = (2(4) + 2)² = 36

g(6) = (2(6) + 2)² = 64

The probability distribution of X can be represented as:

X f(x) 2, 1/6, 4, 1/3, 6, 1/2

Therefore, 2 4 6 X 1 1 f(x) 2 1 3 = Hg(x) = (1/6)

g(2) + (1/3)

g(4) + (1/2)

g(6) = (1/6)(16) + (1/3)(36) + (1/2)(64) = (8/3) + 12 + 32 = 52 2/3

Simplified answer is 52 2/3.

Hence, the required value of Hg(x) is 52 2/3.

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There are 300 number of peoples in the audience.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

At a concert 40% of the audience are children.

One third of the rest of the audience are men.

And, There are 120 women in the audience.

Now,

Let total number of audience = x

So, We can formulate;

Since, At a concert 40% of the audience are children.

Hence, Number of children = 40% of x

                                           = 40x/100

                                           = 2x/5

Since, One third of the rest of the audience are men.

Hence, Number of men = 1/3 (x - 2x/5)

                                     = 1/3 (3x/5)

                                     = x/5

Since, Number of women's = 120

Hence, Total number of students is,

x = 2x/5 + x/5 + 120

x = 3x/5 + 120

x - 3x/5 = 120

2x/5 = 120

2x = 600

x = 600/2

x = 300

Thus, There are 300 number of peoples in the audience.

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Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

When a vertical plane passes through a pyramid that has a horizontal base, the figures will be a triangle and a trapezoid.

A plane is a flat, two-dimensional surface that can extend indefinitely. A plane is a two-dimensional analogue of a point, a line, or three-dimensional space. Planes can appear as subspaces of a few higher-dimensional spaces, such as the room's walls that have been extended extremely far away.

If the plane passes through the vertex, it will intersect the slant heights of two lateral faces and the pyramid's base. The cross section then has three sides, two of which are congruent. The resulting cross section is an isosceles triangle.

A vertical direction or plane passing through a given point contains the local gravity direction at that point. If a direction or plane is perpendicular to the vertical direction, it is said to be horizontal.

A triangle is formed when the plane passes through the pyramid's vertex. A trapezoid is formed when it passes through three faces of a square or rectangular pyramid.

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Complete question

A vertical plane passes through a pyramid that has a horizontal base. Which figure or figures can be produced? Select all that apply.

Circle

Triangle

Trapezoid

Rhombus

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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To find the z-critical value, p-hat (sample proportion), and the margin of error for a 95% confidence interval for a population proportion, we can use the given interval.

The z-critical value:

For a 95% confidence interval, the z-critical value corresponds to the two-tailed z-value that captures 95% of the standard normal distribution. Since it is a two-tailed interval, we need to split the remaining 5% into two equal tails (2.5% on each side).

Using a standard normal distribution table or a calculator, the z-value corresponding to the 2.5% area in each tail is approximately 1.96.

Therefore, the z-critical value for a 95% confidence interval is 1.96.

p-hat (sample proportion):

To find p-hat, we take the midpoint of the confidence interval. In this case, the midpoint is the average of the upper and lower bounds of the interval:

p-hat = (39.0% + 65.0%) / 2 = 52.0%

Therefore, p-hat (sample proportion) is 52.0%.

The margin of error:

The margin of error determines the range within which the true population proportion is likely to lie. It can be calculated by taking half the width of the confidence interval.

Width of the confidence interval = (65.0% - 39.0%) = 26.0%

Margin of error = (1/2) * width of the confidence interval = (1/2) * 26.0% = 13.0%

Therefore, the margin of error is 13.0%.

In summary:

The z-critical value is 1.96.

p-hat (sample proportion) is 52.0%.

The margin of error is 13.0%.

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Answer:

-40

Step-by-step explanation:

Use PEMDAS

3 – 7 • 5 + 2 • 4

Multiply first:

3-35+8

3-43

-40

Hope this helps! Please mark brainliest :)

Answer:

Step-by-step explanation:

3-7 times 5 + 2

3-35+2

-32+2

-30

Answer:

i think the last one

Step-by-step explanation:

The  equations and responses for the puzzle are;

1) The total number of envelopes Mishal addresses is;  y = 2·x + 15

2) The total number of envelopes Aneta addresses is; y = 3·x + 2

3) In 20 minutes, Aneta addresses 6 envelopes

4) In half an hour, Mishal addressed 75 envelopes

An equation is a statement in mathematics that consists of two expressions joined together with an equals to sign.

The number of envelopes Mishal addressed yesterday = 15

The number of envelopes Mishal addresses every minutes = 2 envelopes;

The equation that indicates the number of envelopes, y, Mishal addresses after x, minute is therefore;

2) The number of envelopes Aneta addresses per minute = 3 envelopes

The number of envelopes Aneta addressed yesterday = 2 envelopes

The equation that represents the number of envelopes, y, Aneta addresses in x minutes is therefore;

3) The time x it will take Aneta to address 20 envelopes is therefore;

y = 20

20 = 3·x + 2

x = (20 - 2)/3 = 6

4) The number of minutes in half an hour = 30 minutes

The equation that indicates the number of envelopes Mishal addresses, y = 2·x + 15, can be used to find the number of envelopes Mishal addresses in x = 30 minutes as follows;

y = 2 × 30 + 15 = 75

The total number of envelopes Mishal addresses in half an hour (30 minutes) 30 minutes is 75 envelopes.

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Answer:

45 and 13…......

Step-by-step explanation:

devide

The solution of the trigonometric function sin 2x − √3/2 = 0 will be 30°, 60°, 210°, and 240°.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The trigonometric equation is given below.

sin 2x − √3/2 = 0

Simplify the equation, then we have

sin 2x − √3/2 = 0

sin 2x = √3/2

sin 2x = sin 60°, sin 120°

2x = 60°, 120°, 420°, 480°

x = 30°, 60°, 210°, 240°

The solution of the trigonometric function sin 2x − √3/2 = 0 will be 30°, 60°, 210°, and 240°.

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Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.

The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.

 when we refer to an experiment or trial, we mean a random experiment. When difference  between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.

Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.

according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.

The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,

E(X) = n p = 15 n = 100

p = \(\frac{E(X)}{n} = \frac{15}{100}\) = 0.15

Therefore, it is probability that 0.15 %of flights will arrive on time.

To determine the expected  number of trials from a total of 100

Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:

\(P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}\)

We can calculate this 0.144 get  using a calculator.

therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.

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Answer:

C. 35 degrees

Step-by-step explanation:

Answer:

35 is your answer 21 plus 51 plus 73 plus 35

The derived trigonometric identities using de Moivre's formula are:
(a) cos(3θ) = cos^3(θ) - 3 cos(θ) sin^2(θ)
(b) sin(3θ) = 3 cos^2(θ) sin(θ) - sin^3(θ)

To derive the trigonometric identities using de Moivre's formula, we start with Euler's formula:

e^(iθ) = cos(θ) + i sin(θ)

Now, let's raise both sides of Euler's formula to the power of 3:

(e^(iθ))^3 = (cos(θ) + i sin(θ))^3

Using de Moivre's formula, we can expand the left side as:

e^(3iθ) = cos(3θ) + i sin(3θ)

For the right side, we can use the binomial expansion to expand the cube:

(cos(θ) + i sin(θ))^3 = cos^3(θ) + 3 cos^2(θ) (i sin(θ)) + 3 cos(θ)(i sin^2(θ)) + (i sin(θ))^3

Simplifying each term on the right side:

cos^3(θ) + 3i cos^2(θ) sin(θ) - 3 cos(θ) sin^2(θ) - i sin^3(θ)

Equating the real and imaginary parts of both sides, we get:

cos(3θ) = cos^3(θ) - 3 cos(θ) sin^2(θ)

sin(3θ) = 3 cos^2(θ) sin(θ) - sin^3(θ)

Therefore, the derived trigonometric identities using de Moivre's formula are:

(a) cos(3θ) = cos^3(θ) - 3 cos(θ) sin^2(θ)

(b) sin(3θ) = 3 cos^2(θ) sin(θ) - sin^3(θ)

These are the desired identities.

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Answer:

6,3,-3, and -6

Step-by-step explanation:

You just replace y with the given numbers, then solve for x

The diameter of the spherical tank that holds 9000ft³ of water is 25.81 ft.

A diameter is a line that divides a circle into two equal parts.

To calculate the diameter of the tank, we use the formula below.

Formula:

Making d the subject of the equation,

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the diameter of the tank is 25.81 ft.

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The decision to reject or not reject the null hypothesis depends on the specific research question and the level of confidence chosen by the researcher.

If the null hypothesis is not rejected at a 95% confidence level, it may or may not be rejected at a 99% confidence level. The decision to reject or not reject the null hypothesis depends on the level of significance chosen by the researcher. A higher level of significance, such as 99%, requires stronger evidence against the null hypothesis for it to be rejected compared to a lower level of significance, such as 95%.        

Therefore, the decision to reject or not reject the null hypothesis depends on the specific research question and the level of confidence chosen by the researcher.

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I decided to put them as decimals. 5/12 is equivalent to 0.416. Then there is a decimal already there, which is also 0.416. Then there is 42% which as a decimal is 0.42.

In order it is

0.416, 0.416, and 0.42

The first two are equivalent :P

Answer: 0.416, 5/12, 42%

The middle value is 5/12

Step-by-step explanation: I converted all of them into decimals, so it would be easier to compare. (5/12=0.41666667) (0.416=0.416) (42%=0.42)

If you want me to show you how to convert into decimals just let me know.

Answer:

the number doesnt represent an integer?

A. 3

B. 20.1

C. -10

D. 20/4​

Step-by-step explanation:

We call integers the “counting numbers, their negatives and zero”. I.e.  0,1,−1,2,−2,3,−3,.. etc.

non-integers means “everything except integers”. Which is not well-defined (i.e. nonsense). Why? Because nobody said what “everything” is.

Therefore, when somebody says “non-integer” he has to specify how he defines “everything”. In this case, our “everything” is probably “real numbers”.

Real numbers have an interesting definition concerning an abstract mathematical object called “field” . Let’s forget about that and let’s focus on a high school definition: Real numbers are probably all the numbers you know. They are those represented by a decimal and their negatives e.g.  345.232…  and  −243.13242240…  where there are “infinitely many” digits at the end. Note that  2.5  is also a real number. Integers are too. Basically, real numbers are the numbers used to measure distances and their negatives.

To summirize, your answer is the following:

“non integers” means everything except the integers, where everything is defined however we want. The most common definition of everything in this case is “real numbers” and therefore the most common interpretation of “non integers” is “reals which are not integers”.

Examples of “reals which are not integers”:  1.5,2.88,1.3333…  etc

the answer is

B. 20.1

Answer:

53

Step-by-step explanation:

c=42+11

c=53

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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