Lakeview in 72 miles from Springfield Irania must go to the law library in Springfield to get A document for the law firm for which she works Find how long it takes her to dive round trip if she average 52 mph.

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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Answer:

He added $25 to the contents of his wallet.

Step-by-step explanation:

Here's what's happening, symbolically:

$6 + m = $31, or m = $25.  Jake added $25 (represented by m) to the contents of his wallet.

The probability of company's hiring result occurring randomly will depend on the total number of physicians.

To determine the probability of the company's hiring result occurring randomly, we would need to know the total number of physicians under the age of 35 that the company considered for these positions. Without this information, it is not possible to use the binomial distribution to calculate the probability of the company's hiring result occurring randomly.

However, the fact that the company has hired 8 physicians under the age of 35 and none of them are women, while the overall percentage of women physicians under the age of 35 is 36%, could be viewed as evidence of discriminatory hiring practices. While this is not conclusive evidence on its own, it could be used as part of a broader case to demonstrate a pattern of discrimination.

It is important to note that discrimination can be subtle and unconscious, and can occur even when individuals do not intend to discriminate. It is possible that the company's hiring practices may not have been intentionally discriminatory, but rather the result of unconscious bias or other factors that disproportionately affect the hiring of women.

Ultimately, whether or not the group of women physicians has a strong case for a lawsuit would depend on a thorough examination of all the relevant evidence, including any additional information about the company's hiring practices and the reasons for the hiring decisions that were made.

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The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

Answer: i think the answer is d or c im not to sure

Step-by-step explanation:

Answer:

your answer is not a function for the (0,0)

and the rest of the other 2 plots  with 1.5 are is your top answer and there's your answers i belive on my opinion

The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.

The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.

Let's assume the smallest possible unit of measurement is 0.01.

To find the lower boundary:

Lower Boundary = Lower Limit - (0.01/2)

Lower Boundary = 1.87 - 0.005

Lower Boundary = 1.865

To find the upper boundary:

Upper Boundary = Upper Limit + (0.01/2)

Upper Boundary = 3.43 + 0.005

Upper Boundary = 3.435

Therefore, the boundaries of the class 1.87-3.43 are:

D) 1.865-3.435

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When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.

Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.

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The LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.

We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra.

Here, we refer to these letters as variables.

So, we have the expression:

(−18−−−√3)3+334=(−183)3 + 334

Now, check it as follows:

(−18√3)3+334=(−183)3 + 334

-93.531+334=-549+334

240.469= -215

Ans: FALSE

Therefore, the LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.

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Correct question:

Evaluate the expression: (−18−−−√3)3+334=(−183)3 + 334=?

Explanation:

The distance around a full circle is equal to 2*pi*r = 2*pi*1.3 = 2.6pi

Cut this in half because we're dealing with a semicircle. So we go from 2.6pi to 1.3pi

This is exactly equal to pi times the radius.

Answer:

around 81.2 degrees

Step-by-step explanation:

use inverse tangent

remeber tan = O/H

divide it first

84/13

6.461538461538462

then use invese tan(\(tanx^{-1}\))

81.20258929000894

or around 81.2 degrees

Answer:

Step-by-step explanation:

Mark as brainliest

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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Answer:

750 or 3/4

Step-by-step explanation:

multiply the mass value by 1000

The measure of center that is the sum of a data set divided by the number of values it contains is called sample mean.

Sample mean is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample. It is a measure of central tendency, which describes a typical value of the dataset. It is also known as the arithmetic mean or simply the mean.

The mean can be used to summarize data sets for comparison. It is useful in inferential statistics to estimate the population mean from the sample data. It is an important measure that is frequently used in many areas such as research, business, and finance.

In summary, the measure of center that is the sum of a data set divided by the number of values it contains is sample mean, and it is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample.

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Let 'n' be the original number

Let 'a' be the digit in the ten's place of 'n'

Let 'b' be the digit in the one's place of 'n'

Then, n = 10a + b

We have,

a+b = 11 -------- (equation 1)

Let m be the number formed when the digits of n are reversed

Then, m = 10b + a

Given that, m = n + 27

=> 10b + a = (10a + b) + 27

=> 9b - 9a = 27

=> 9(b - a) = 27

=> b - a = 3 ----- (equation 2)

Adding equation 1 and 2, we get

2b = 14

=> b = 7

putting b = 7 in equation 1

a + 7 = 11

=> a = 4

Therefore original number is 10×4 + 7 i.e. 47

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

y intercept is (0,4) and slope is -2

Step-by-step explanation:

y intercept is (0,4) you can see where it intercepts.

The slope is rise/run so 4/-2 so -2

Note: I am assuming you meant to say:

Answer:

Zoey needs 51 more beads to make 5 bangles.

Step-by-step explanation:

Total number of beads Zoey currently has = 99 beads

Beads need to make one bangel = 30 beads

so

Beads need to make 5 bangles = 30 × 5 = 150 beads

Since she has already 99 beads.

So, all we need s to subtract 99 beads from 150 beads.

Therefore,

The number of beads Zoey needs = 150 - 99

                                                          = 51 beads

Thus, Zoey needs 51 more beads to make 5 bangles.

When constructing a frequency distribution for quantitative data, it is important to remember D. all of the above

A frequency histogram, or just histogram for short, is the graph of a frequency distribution for quantitative data. A histogram is a graph with the class boundaries on the horizontal axis and the frequencies on the vertical axis.

The different values and their frequencies are listed in a frequency distribution of qualitative data. We first divide the observations into Classes  in order to arrange the quantitative data, and we then treat the Classes as the individual values of the quantitative data.

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missing part;

A. classes are mutually exclusive

B. classes are collectively exhaustive

C. the total number of classes usually ranges from 5 to 20

D. all of the above

Answer:

17/20 and 20-x/20

Step-by-step explanation:

divide the total number of questions she got right by the total number of questions available

The value of 9P6 / 20P2 is approximately 159.37.

Permutation refers to the different arrangements that can be made using a group of objects in a specific order. It is represented as P. There are different ways to calculate permutation depending on the context of the problem.

In this case, the problem is asking us to evaluate 9P6 / 20P2. We can calculate each permutation individually and then divide them as follows:

9P6 = 9!/3! = 9 x 8 x 7 x 6 x 5 x 4 = 60480 20

P2 = 20!/18! = 20 x 19 = 380

Therefore,9P6 / 20P2 = 60480 / 380 = 159.37 (rounded off to two decimal places)

Thus, we can conclude that the value of 9P6 / 20P2 is approximately 159.37.

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Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

\(\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}\)

Step-by-step explanation:

\(\sf 7y-15=-29\)

Using the additive property of equality, we add 15 to both sides of the equation.

\(\sf 7y-15+15=-29+15\)

\(\sf 7y=-14\)

Using the inverse property of multiplication, we divide both sides of the equation by 7.

\(\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}\)

\(\sf y = -2\)

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

Consider,

\(\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \)

On taking LCM, we get

\(\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} \)

We know,

\( \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ \)

and

\( \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ \)

So, using these Identities, we get

\(\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } \)

\(\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } \)

We know,

\( \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ \)

So, using this, we get

\(\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} \)

\(\rm \:  =  \: \dfrac{2 \times 4}{10} \)

\(\rm \:  =  \: \dfrac{4}{5} \)

Hence,

\( \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}\)

Answer:

c.

Step-by-step explanation:

In table one , the rate of change is by adding 7 to each number

in table 2, the rate of change is by adding 6 to each number

in table 4, the rate of change is by adding 8 to each number

but in table 3, there is no precuse addition of numbers

Answer:

Step-by-step explanation:

Common difference = 5

a₁ = 24

a₆ = a₁ + (6-1)5 = 49