22. Use the Venn diagram shown to list the set B in rosterform.UA BC347915175106121118B=(Use ascending order. Use a comma to separate answersas needed.)

The numerical value of x in the expression 3x + 6 is 3.

The diagonals of a rectangle bisects each other and are equal.

Given that;

Since the diagonals of a rectangle bisects each other and are equal.

DG = CG

Plug in the given values and simplify.

15 = 3x + 6

Solve for x

Subtract 6 from both sides

15 - 6 = 3x + 6 - 6

9 = 3x

Divide both sides by 3

9/3 = 3x/3

9/3 = x

3 = x

x = 3

Therefore, the value of x is 3.

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Sample: selected 50 adult residents by marketing research firm

In statistics  a data sample is a set of data collected and the world selected from a statistical population by a defined procedure and refers to a set of observations drawn from a population.  The elements of a sample are known as sample points or sampling units or observations. Often, it is necessary to use samples for research, because it is impractical to study the whole population.

To calculate the probability that all 50 residents in a particular neighborhood end up being the sample of residents selected, we need to consider the total population size and the number of residents in that neighborhood.

Let's assume there are N total adult residents in the suburb, and n residents in the particular neighborhood of interest. The probability of selecting all 50 residents from that neighborhood can be calculated using the hypergeometric distribution.

The probability can be calculated as follows:

P(all 50 residents from the neighborhood) = (nC50) / (NC50)

Where nC50 represents the number of ways to choose 50 residents from the neighborhood, and NC50 represents the number of ways to choose 50 residents from the entire population.

Here population:   resident of the city council in a suburb of Raleigh

Therefore, sample: selected 50 adult residents by marketing research firm.

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Answer:  b

Step-by-step explanation:

I think

Answer:

2, 4

Step-by-step explanation:

m = multiple choice, s = short response

23m + 10s = 86, 28m + 5s = 76

Multiply the 2nd equation x 2 to make a variable the same amount

28m + 5s = 76, so 56m + 10s = 152

Now subtract the first equation

56m + 10s = 152

23m + 10s = 86

33m = 66

m = 2

If m = 2, and 23m + 10s = 86

23(2) + 10s = 86

46 + 10s = 86

10s = 40

s = 4

By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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The standard form of the equation of the hyperbola is ((x - 6)^2 / 9) - ((y - 0)^2 / 27) = 1 or equivalently ((x - 6)^2 / (3^2)) - ((y - 0)^2 / (3sqrt(3))^2) = 1.

Since the foci of the hyperbola lie on the x-axis, we know that the transverse axis is horizontal. The center of the hyperbola is the midpoint between the vertices, which is ((3+9)/2, 0) = (6, 0). The distance between the center and each vertex is a = (9-3)/2 = 3, and the distance between the center and each focus is c = 12/2 = 6. The distance between each focus and vertex is b, where b^2 = c^2 - a^2 = 36 - 9 = 27, so b = sqrt(27) = 3sqrt(3).

Therefore, the standard form of the equation of the hyperbola is:

((x - 6)^2 / 9) - ((y - 0)^2 / 27) = 1

or equivalently:

((x - 6)^2 / (3^2)) - ((y - 0)^2 / (3sqrt(3))^2) = 1

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Answer:

Given -

Now, we'll calculate the work done by both the taps -

\( \\ \sf \: \frac{1}{4} + \frac{1}{6} \\ \\ \\ \bf \: lcm \: \: of \: \: 4 \: \: \& \: \: 6 = 12 \\ \\ \\ \implies \sf \: \frac{3 + 2}{12} \\ \\ \\ \implies \sf \frac{5}{12} \\ \\ \)

Now, reciprocal it -

\( \\ \implies \sf \frac{12}{5} = 2 \frac{2}{5} \\ \)

Therefore, time taken by both the taps will be 2 2/5 hours.

Answer:

-120 loves of bread were sold in 4 hours.

-40 loves of bread wereleft to sale.

Step-by-step explanation:

To determine the amount of loves of bead that were sold in 4 hours, you have to mutiply the amount of loves sold each hour for 4:

30*4=120

This means that 120 loves of bread were sold in 4 hours.

Now, to determine the amount of loves of bread left to sale, you have to find the amount of loves produced on the two batches of bread by multiplying the amount produce in each batch for 2:

80*2=160

Finally, you have to subtract the amount of loves sold in 4 hours from the amount produced in two batches:

160-120=40

According to this, 40 loves of bread were left to sale.

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

34.44

Hope this helps:)

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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The answer is 33. The side lengths of a cube are all the same and the volume is length x width x height. So, you just cube 35,937 cm to get 33 cm.

Answer:

33

Step-by-step explanation:

Answer:

The number is : 20

Step-by-step explanation:

Thanks alot

Answer:

the number is = 20

Step-by-step explanation:

good bye

Answer:

37/49

Step-by-step explanation:

12+20+17=49

20+17=37

The ninth term of the sequence an is 2 and the tenth term of the sequence an is 1/2.

a₁ = 2 &  aₙ = 1/aₙ₋₁

Formula used : aₙ = 1/aₙ₋₁  where a₁ = 2

For nth term we can write it in terms of (n-1)th term

For n = 2 , a₂ = 1/a₁

                      = 1/2

For n = 3, a₃ = 1/a₂

                     = 1/(1/2)

                      = 2

For n = 4, a₄ = 1/a₃ = 1/2

For n = 5, a₅ = 1/a₄

                    = 2

For n = 6, a₆ = 1/a₅

                    = 1/2

For n = 7, a₇ = 1/a₆

                    = 2

For n = 8, a₈ = 1/a₇

                    = 1/2

For n = 9, a₉ = 1/a₈ = 2

For n = 10, a₁₀ = 1/a₉

                      = 1/2

Now substituting the values of first 10 terms of sequence we get  :

First term : a₁ = 2

Second term : a₂ = 1/2

Third term : a₃ = 2

Fourth term : a₄ = 1/2

Fifth term : a₅ = 2

Sixth term : a₆ = 1/2

Seventh term : a₇ = 2

Eighth term : a₈ = 1/2

Ninth term : a₉ = 2

Tenth term : a₁₀ = 1/2

Therefore, the first 10 terms of the sequence an = 2, 1/2, 2, 1/2, 2, 1/2, 2, 1/2, 2, 1/2.

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The table below shows the inputs and outputs for the given equations.

the first equation, 13 = 3r + 5

the second equation, Y = 3(4)45z

In the first equation, 13 = 3r + 5, the input values (z) range from 1 to 5, and the corresponding output values (y) are obtained by substituting the input values into the equation. In the second equation, Y = 3(4)45z, the input values (z) also range from 1 to 5, and the output values (y) are calculated by substituting the input values into the equation.

Table of Values:

Equation 1: 13 = 3r + 5

z y

1 15

2 18

3 21

4 24

5 27

Equation 2: Y = 3(4)45z

z y

1 540

2 1080

3 1620

4 2160

5 2700

In the first equation, for each input value (z), the output value (y) is obtained by substituting the input value into the equation 13 = 3r + 5. For example, when z = 1, we substitute it into the equation to get 13 = 3(1) + 5, which simplifies to 13 = 8. Similarly, for other input values, we calculate the corresponding output values.

In the second equation, for each input value (z), the output value (y) is calculated by substituting the input value into the equation Y = 3(4)45z. For instance, when z = 1, we substitute it into the equation to get Y = 3(4)45(1), which simplifies to Y = 540. Likewise, for the other input values, we calculate the corresponding output values using the equation.

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Answer:

253

Step-by-step explanation:

All you need to do is divide 2047 by 178 to get 11.5. Multiply 11.5 by 22 to get 253. 22/178=x/2047

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour

Answer:

Loren is wrong

Step-by-step explanation:

365.35 multiplied by 614 = 224324.9

Answer: I don't think any of them were challenging alone. But when I had to reflect an image on the y axis, while translating it and rotating it... that was the hardest. If I had to say one alone, it would probably be reflecting. Not hard, but the hardest of them all. An example of where you could find the transformation in the real world could be in a mirror, on a butterfly's wings, or even a pizza. The symmetry of those things are reflecting each other perfectly. (well, maybe not the pizza always.)

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(8x^2-5x-7-9x^2+3x+5+x^2+6x-7\\ \\ 4x+5\\ \\ linear\\ \\ binomial\\ \\ 1\)

Answer:

5/16=s/32

Step-by-step explanation:

What we know:

- a school team has 80 swimmers

The ratio of 7th grade swimmers to every swimmer in their school (counting all the grades) is 5:16. Write a proportion of this for a value of s.

a ratio can also be expressed in a fraction by simply putting it from x:y to x/y

so, the ratio 5:16 can also be expressed as 5/16.

note: let sgs represent seventh grade swimmers.

also, let x represent the value of the equivalent amount of swimmers (in the denominator that serves as a value for the proportion of 5/16.

we need to find:

5 sgs/16 swimmers = s amount of sgs/x

5/16=s/x

equivalent fractions could literally be anything, just multiply that ratio by a value equal to one; ex 4/4, or 16/16, or 2/2.

the simplest proportion is to multiply 5/16 by 2/2.

5/16*(2/2)=s/x

10/32=s/x

so s=10 and x=32 but we only need to know x cuz your problem doesn't have a box to answer the s=10.

so... 5/16=s/32.

Answer:

Type I error

Step-by-step explanation:

Here, we are interested in knowing the type of error that stems from the hypotheses set up

in the question.

From the suggestion of the sample, we know that the food is actually safe but was wrongly labeled as being unsafe.

So in this case, the type of error committed is the type 1 error since the food is actually safe but there was a wrong suggestion of being generally unsafe by the sample

Answer:

15 years

Step-by-step explanation:

1100 + 45y

2000 - 15y

plug 15 into y and the equations answer should be the same

Answer:

1. 9

2. 9

3. 101

Step-by-step explanation:

hope it helps:)

The length of the bridge is approximately 837.24 feet.

Let's assume the length of the bridge is represented by the variable "x".

According to the given information, 1/6 of the length of the bridge is on the east bank, and 1/7 of the length is on the west bank.

The remaining portion, which spans the river, can be represented as (1 - 1/6 - 1/7) of the total length of the bridge.

So, the equation representing the length of the bridge can be written as:

(1 - 1/6 - 1/7) * x = 580

To solve this equation, we first need to find the common denominator of 6 and 7, which is 42.

(42/42 - 7/42 - 6/42) * x = 580

(29/42) * x = 580

To isolate "x", we can multiply both sides of the equation by the reciprocal of (29/42), which is (42/29):

x = 580 * (42/29)

x ≈ 837.24

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