Sets A, B, and C are subsets of the universal set U. These sets are defined as follows. U={1, 2, 3, 4, 5, 6, 7, 8, 9) A={1,2,4,5) B={2, 3, 5, 7, 8) C={4, 5, 7, 8, 9) Find (A'U B) nC. Write your answer in roster form or as Ø. (A'U B) nC: = O 00... 5 ? ?

Answer:

\(\huge\boxed{\sf 2.5 \times 10^4}\)

Step-by-step explanation:

\(\displaystyle \frac{2.3 \times 10^7}{9.2 \times 10^2}\)

Using law of exponent:

\(\displaystyle = \frac{2.3 }{9.2} \times 10^{7-2}\\\\= 0.25 \times 10^5\\\\= 2.5 \times 10^4\\\\\rule[225]{225}{2}\)

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Answer:

Option b: y = x^5

Step-by-step explanation:

The functions are:

a) y = 5*x

b) y = x^5

c) y = 3*x^3 + 10

d) y = 1000*x^3 + 1

This is really simple, here we need to know that when we have powers of x:

x^n and x^m

The one with the larger exponent will grow faster (specially for larger values of x)

Only with this, we can guess that the correct option is b.

But let's check that.

The other function that has the largest exponent (and also a very large coefficient) is option d

y = 1000*x^3 + 1

Now, if we evaluate both functions b) and d) in x = 1000, we get:

b) y = 1000^5

While in option d we have:

d) y = 1000*1000^3 + 1 = 1000^4 + 1

And clearly:

1000^5 > 1000^4 + 1

For larger values of x, this difference will be larger (you could also compare the function y = x^5 with the other ones for this value of x, and in all the cases you will see that option b is the larger one).

Then the correct option is b.

Answer:

Volume is approximately 150.8 (rounded).

Answer:

151 \(cm^3\)

Step-by-step explanation:

\(V = (1/3)\pi r^2h\\V = (1/3)\pi * 4^2 * 9 = 150.796 = 151 cm^3\)

Answer:

A) -1

Step-by-step explanation:

\( \dfrac{i^{2n - 3} \times i^{3n - 1}}{i^{5n - 2}} = \)

\( = i^{2n - 3 + 3n - 1 - (5n - 2)} \)

\( = i^{2n - 3 + 3n - 1 - 5n + 2} \)

\( = i^{-2} \)

\( = \dfrac{1}{i^2} \)

\( = \dfrac{1}{-1} \)

\( = -1 \)

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 1 kg/m³

The conversion value:

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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Answer:

Slope: -3/4

y-intercept: (0,-5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Answer and step-by-step explanation:

I am assuming the equation is:

\(y + 2 = -\frac{3}{4}(x + 4)\)

It will be easier if we convert the fraction to a decimal, for now.

\(y + 2 = -0.75(x + 4)\)

Then we can simplify a bit, using the distributive property.

\(y + 2 = -0.75x - 3\)

Now, we want to have the y all by its self. So, let's subtract 2 on both sides.

\(y + (2 - 2) = -0.75x + (-3 - 2)\)

\(y = -0.75x - 5\)

Let's convert the decimal back into a fraction.

\(y = -\frac{3}{4}x - 5\)

Now we have our equation. To start graphing, let's plot the y-intercept. Our y-intercept is -5. So we can plot the point (0, -5). Now, we need to find the slope. The slope is \(-\frac{3}{4}\). It's negative, which means that the line will start from the top right to the bottom left. That means that every time we move to the right one unit, we will move down 0.75 units. I hope this helps!

The average rate of change of DVD sales is 723.1 billion dollars.

The average rate of change of an equation can be determine by using the formula below:

average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]

From the given information of the DVD sales:

f(x) = -158.8x² + 2469.9x + 3010.5

x₁ = 2001 - 1999 = 2

x₂ = 2008 - 1999 = 9

average rate of change =  ([-158.8(9)² + 2469.9(9) + 3010.5] - [-158.8(2)² + 2469.9(2) + 3010.5]) / (9-2)

                                      = (12376.8 - 7315.1)/(7)

                                      = 723.1 billion dollars

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Complete Question

Check image attached

The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Thus, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.

The frustum of a right circular cone is a three-dimensional shape that is formed by cutting off the top of a cone with a plane parallel to the base.

To find the volume of the frustum, we need to use the formula for the volume of a frustum, which is given by:

V = (1/3)πh(R^2 + r^2 + Rr)

where V is the volume of the frustum, h is the height of the frustum, R is the radius of the lower base, and r is the radius of the top base.

In this case, the height of the frustum is 25, the radius of the lower base is 29, and the radius of the top base is 11. So, we can substitute these values into the formula and simplify:

V = (1/3)π(25)(29^2 + 11^2 + 29*11)
V = (1/3)π(25)(841 + 121 + 319)
V = (1/3)π(25)(1281)
V = (1/3)(25π)(1281)
V = 10,677.54

Therefore, the volume of the frustum of the right circular cone with height 25, lower base radius 29 and top radius 11 is approximately 10,677.54 cubic units.

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Answer:

j. Pam, Tia, Veronica, Lily (if it's youngest to oldest)

Step-by-step explanation:

If Tia is 8 yrs old and she's 2 yrs older than Pam, then Pam must be 6 yrs old. Pam si 5 yrs younger than Veronica who must be 11 + 4 = 15.

Tia: 8 yrs.

Veronica: 11 yrs

Pam: 6 yrs.

Lily: 15

Answer: from youngest to oldest it’s Lily, Veronica, Tia, then Pam

Step-by-step explanation:

Tia being 8, Pam is 6, Veronica is 11 and Lily is 15

While the measurement of the individual angles in a triangle can vary depending on the size and shape of the triangle, their sum is always 180 degrees.

This fundamental concept is known as the Triangle Sum Theorem and is true for all types of triangles, including equilateral, isosceles, and scalene. This theorem is essential in geometry and plays a significant role in solving various mathematical problems related to triangles. By knowing the sum of the angles, it is possible to calculate the measurement of one missing angle if the other two are known. Additionally, it helps in proving congruence and similarity of triangles and finding various geometric properties of triangles.

While the measurement of the individual angles in a triangle can vary, their sum is always constant. This constant sum is 180 degrees. This principle is known as the Triangle Sum Property, which states that the three interior angles of any triangle will always add up to 180 degrees, regardless of the triangle's shape or size. To find the sum of the angles, you simply add the three angle measures together. For example, if a triangle has angles of 60, 70, and 50 degrees, the sum would be 60 + 70 + 50 = 180 degrees. This property holds true for all triangles, ensuring that their interior angles always have a constant sum.

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Answer:

6

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

2 kinds of larger shapes can be make

kind 1: 18 x 4 x 3 = 216 cm

kind 2: 18 x (5+5+4) = 252 cm

The perimeter of the larger shape formed by putting three regular hexagons together is 216 cm.

When three regular hexagons are put together to form a larger shape, they form a regular hexagon with an equilateral triangle at each end.

The perimeter of the larger shape can be calculated as follows:

Perimeter of larger shape = Perimeter of hexagon + Perimeter of equilateral triangle

Since the hexagon has six sides of equal length, its perimeter is \(\(6 \times 18 \, \text{cm} = 108 \, \text{cm}\)\).

Each equilateral triangle has three sides of equal length, and each side of the equilateral triangle is equal to one side of the hexagon.

So, the perimeter of each equilateral triangle is \(\(3 \times 18 \, \text{cm} = 54 \, \text{cm}\)\).

Since there are two equilateral triangles, the total perimeter contributed by the equilateral triangles is \(\(2 \times 54 \, \text{cm} = 108 \, \text{cm}\)\).

Finally, to find the perimeter of the larger shape, add the perimeters of the hexagon and the two equilateral triangles:

Perimeter of larger shape = 108 cm + 108 cm = 216 cm

Thus, the perimeter of the larger shape is \(\(216 \, \text{cm}\)\).

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The four consecutive even integers are 28, 30, 32 and 34.

Given that, four consecutive even integers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the four consecutive even integers are x+1, x+3, x+5 and x+7.

2 times the sum of the first and second is 14 more than 3 times the fourth, we get

2(x+1+x+3)=3(x+7)+14

⇒ 4x+8=3x+21+14

⇒ 4x+8=3x+35

⇒ 4x-3x=35-8

⇒ x=27

So, four consecutive even integers are 28, 30, 32 and 34

Therefore, the four consecutive even integers are 28, 30, 32 and 34.

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Answer:

y = 122.57

Explanation:

y = 143 when x = 49

Y varies directly with x, so the equation is --> y = kx (k would be the constant of variation).

k = y/x = 143/49

y = (143/49) x

When x = 42 --> y = (143/49) · 42 --> y = 2.92 · 42 --> y = 122.57

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

They have completed 50% of the race

Step-by-step explanation:

13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/

Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.

Obtaining data with a small p-value would be strong evidence against the null hypothesis. Correct option is 3).

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables, while the alternative hypothesis suggests otherwise. To determine whether to reject the null hypothesis, we calculate a p-value, which represents the probability of observing the data or more extreme results if the null hypothesis were true.

A small p-value indicates that the observed data is unlikely to occur under the null hypothesis, providing strong evidence against it. Therefore, obtaining data with a small p-value (option 3) would be considered strong evidence against the null hypothesis.

On the other hand, a large p-value (option 4) would suggest that the observed data is likely to occur even if the null hypothesis were true. This would not provide strong evidence against the null hypothesis, as it suggests that the data is consistent with the null hypothesis.

Using a small level of significance (option 1) or a large level of significance (option 2) refers to the predetermined threshold at which we decide to reject or fail to reject the null hypothesis. While the choice of significance level affects the decision-making process, it does not directly indicate evidence against the null hypothesis like the p-value does.

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a) The percentile of the phone that sold for $330 is; 29%

b) The sales price at 75th percentile is; $425

In statistics, a percentile is a term that describes how a score compares to other scores from the same set.

From the given set of data showing the sales prices, let us sort them out from smallest to largest;

Sort the data values from smallest to largest:

235, 299, 300, 304, 325, 325, 330, 345, 355, 355, 370, 400, 400, 405, 415, 415, 425, 430, 449, 450, 495

It should be noted that 6 of the 21 data values are smaller than 325.

The percentile is then the number of data values that are less than the individual's data value divided by the number of data values in total, written as a percentage.

Thus;

Percentile = (Total number of data values/Number of data values that are less than the individual’s data value) × 100%

= 6/21  × 100%

≈ 0.2857 × 100%

= 28.57 % ≈ 29%

At 75th percentile, we have;

0.75 = x/21

x = 21 * 0.75

x = 15.75

Thus, the selling price of the phone at the 75th percentile is greater than 16 of the 21 phones. This phone has a selling price of at least $425

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Answer:

20% increase

Step-by-step explanation:

Answer: 20% increase!

Step-by-step explanation:

$60-$50= $10 Increase

10/50*100% = 20%

hope this helped, have a nice day! :)

Answer:

If 58% of the people surveyed said YES to a YES or NO question, the number of people who said YES is

58/100 * 6700 = 3886.

The number of people who said NO is

6700 - 3886 = 2814.

Answer:

When a negative base is raised to the power of an even number, the answer is always​ positive.

Step-by-step explanation:

Answer:

I dont know the W and the L but to find the area of the shaded part. multiply the width of the shaded part and the length of the shaded part and you will get the area

The scale factor can be computed by taking the ratio of dimension of the new shape with the dimension of the original shape.

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

An object's size can change depending on the scale factor, either growing or shrinking. The following is a basic formula to determine a dilated figure's scale factor: 

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Hence, the scale factor can be computed by taking the ratio of dimension of the new shape with the dimension of the original shape.

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Step-by-step explanation:

don't know its so hard.....

but in my guess its answer should be 1,1,3,4

otherwise ask your teacher

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

6

Step-by-step explanation:

Rachel's cost = $35x + $15  

Taylor's cost = $25x + $75

When are the costs equal? Rachel's cost = Taylor's cost?

35x + 15 = 25x + 75

35x - 25x = 75 - 15

10x = 60

x = 6

Check Rachel's 6 month cost is: 35 x 6 + 15 = 225

Check Taylor's 6 month cost is 25 x 6 + 75 = 225