Which angle is supplementary to <3?

The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

Answer:

B

Step-by-step explanation: Just trust me bro

The Poisson probability model is most nearly appropriate to describe the number of burned-out fluorescent tubes. So, the correct answer is B.

The Poisson distribution is the probability distribution of independent events that occur at a continuous rate within a fixed interval of time or space. It is a probability distribution used to determine the likelihood of a specific number of events occurring in a set amount of time or space.

For instance, the number of misprints in a book or the number of cars that pass through a particular crossroads in a minute are typical Poisson distribution examples.

The Poisson distribution is appropriate when the following assumptions are met:

The events are independent of one another, meaning that one occurrence does not influence the probability of another occurrence occurring. The event rate is stable, which means that the event rate is constant throughout the observed interval. The events are random and isolated.

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The number increase by a percentage of 76.29 over the given period of time.

To calculate the percent increase, we need to find the difference between the two values and divide that by the original value, then multiply by 100 to express the answer as a percentage:

If in 1995, a total of 945477 graduating seniors took the exam, and in 2012, the number of graduating seniors taking the ACT exam was 1666809, then the percent increase from 1995 to 2012 is:

(1666809 - 945477) / 945477 = 0.7629 x 100 = 76.29%

Therefore, the number of graduating seniors taking the ACT exam increased by 76.29% between 1995 and 2012.

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Answer:

1/2 or 0.5

Step-by-step explanation:

since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

The answer to the question is g(1) = 0.

Based on the given information, we know that a calculator is allowed for this question and we need to consider item 3. The question provides us with the function g(x) defined as the integral of (-1/2)cos(t^(3/2)t)dt from x=0 to x-1.

To find the value of g(1), we need to substitute x=1 in the given function. Therefore, we have:

g(1) = ∫(1-1)(-1/2)cos(t^(3/2)t)dt = 0

Since the upper limit of integration is (x-1), and we substitute x=1, we get (1-1) = 0. This means that the integral evaluates to 0, and hence the value of g(1) is also 0.

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Answer:

56

Step-by-step explanation:

because of the type of triangle (isosceles) the 2 angles on the bottom near the equal sides will have equal angle sizes so...

62+62+x=180

124+x=180

x=180-124

x=56

Answer:

Limited economic options

Step-by-step explanation:

Answer:

A i think

Step-by-step explanation:

do to the way peasants lived they did not have options most of the time

The problems on scientific notation are solved as below.

Scientific notation is a way of expressing numbers which are way too large or way too small in a simpler form using exponents or decimals or both.

When adding or subtracting, convert the exponent part same for both numbers.

When multiplying, add the exponents and when dividing, subtract the exponents.

#1: 9 x 10-5 / 9.24 x 10-6 = (9 / 9.24) × 10⁽⁻⁵⁻⁻⁶⁾ = 0.974 × 10¹ = 9.74

#2: (5 x 10⁵) - (8 x 10⁴) = (50 × 10⁴) - (8 × 10⁴) = (50 - 8) × 10⁴ = 42 × 10⁴

#3: (5 x 10⁻⁷) - (3 x 10⁻⁹) = (500 × 10⁻⁹) - (3 × 10⁻⁹) = (500 - 3) × 10⁻⁹ = 497 × 10⁻⁹

#4: (7 x 10⁸) (9 x 10⁶) = (7 × 9) × 10⁸⁺⁶ = 63 × 10¹⁴

#5: (4 x 10⁶) - (2 x 10⁵) = (40 × 10⁵) - (2 × 10⁵) = (40 - 2) × 10⁵ = 38 × 10⁵ = 3800000

#6: 17 x 10⁸ / 4 x 10⁵ = (17 / 4) × 10⁸⁻⁵ = 4.25 × 10³ = 4250

#7: (9 x 10⁴) + (7 x 10) = (9000 × 10) + (7 × 10) = (9000 + 7) × 10 = 90070

#8: (6.24 x 10⁻²) + (7.1 x 10⁻³) = (62.4 × 10⁻³) + (7.1 × 10⁻³) = (62.4 + 7.1) × 10⁻³ = 69.5 × 10⁻³ = 0.0695

#9: (11 x 10⁴) (7 x 10²) = (11 × 7) × 10⁴⁺² = 77 × 10⁶

#10: 27 x 10⁴ / 10 x 10⁸ = (27 / 10) × 10⁴⁻⁸ = 2.7 × 10⁻⁴

#11: (7 x 10⁷) + (4 x 10⁶) = (70 × 10⁶) + (4 × 10⁶) = (70 + 4) × 10⁶ = 74 × 10⁶

Hence the problems related to scientific notation are solved.

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∫∫∫e f(x, y, z) dV can be expressed as ∫∫∫e f(x, y, z) dz dy dx for the given solid e bounded by y = 4 - \(x^{2}\) \(z^{2}\) and y = 0.

To express the integral as an iterated integral, we consider the order of integration. In this case, we start with the innermost integral, which integrates with respect to z. The limits of integration for z are determined by the bounds of the solid e, which are given by the surfaces y = 0 and y = 4 - \(x^{2}\) \(z^{2}\)

Next, we move to the middle integral, integrating with respect to y. The limits of integration for y are determined by the intersection points of the surfaces y = 0 and y = 4 - \(x^{2}\) \(z^{2}\). In this case, y ranges from 0 to the value of y determined by the equation 4 - \(x^{2}\) \(z^{2}\) = 0.

Finally, we integrate with respect to x, where the limits of integration for x are determined by the bounds of the solid e. These bounds can be determined by finding the values of x that satisfy the equation 4 - \(x^{2}\) \(z^{2}\) = 0.

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Answer:

Step-by-step explanation:

To find a we use sine

sin ∅ = opposite / hypotenuse

From the question

a is the hypotenuse

17 is the opposite

Substitute the values into the above formula

That's

We have the final answer as

Hope this helps you

Answer:

25, 32, 40

I hope this helped!

The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole

The mole of a substance is related to it's mass and molar mass according to the following equation

Mole = mass / molar mass

With the above formula, we can obtain the number of mole of pure 11C. Detail below:

From the question given, the following data were obtained:

Mole = mass / molar mass

Mole = 3 / 11

Mole = 0.2727 mole

Therefore, the number of mole of pure 11C initially present is 0.2727 mole

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Answer:

- 23/13

Step-by-step explanation:

first, we do the FOIL multiplication (First, Outer, Inner, Last)

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)

2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))

2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)

2x² - 16x + 3x - 24 = 3 + 2(x² - 25)

2x² - 16x + 3x - 24 = 3 + 2x² - 50

2x² - 13x - 24 = 3 + 2x² - 50

after that move all component which have x to the left

2x² - 2x² - 13x = 3 - 50 + 24

-13x = 23

x = - 23/13

Answer:

x^3= 11/-7

Step-by-step explanation:

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=

2x^2-16x+3x-24= 3+2x-10+x+5

-11x-24= -2+3x

-11x^2 -24 = -2+3x

-11x^2-3x = -2+24

-14x^3 = 22

x^3 = 22/ -14

x^3 = 11/-7

The simplest form of the expression (1/8) × (2/3) is 1/12.

To simplify the expression (1/8) × (2/3), you multiply the numerators together and the denominators together.

The numerator is 1 multiplied by 2, which equals 2.

The denominator is 8 multiplied by 3, which equals 24.

Therefore, the simplified form of the expression is 2/24.

However, we can simplify it further by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

When we divide 2 by 2, we get 1, and when we divide 24 by 2, we get 12.

So, the simplest form of the expression (1/8) × (2/3) is 1/12.

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

The length is 2.4 1.2 times 2 to take away the both width sides minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4

so that is number 3

Step-by-step explanation:

The best option including the commissions is the Hight tech job.

He was offered a job at high tech and Job at the best computers.

The options are as follows:

The offer that will be best option can be determined as follows:

High tech:

total salary per week = 500 + 5% of 500

total salary per week = 500 + 5 / 100 × 500

total salary per week = 500 + 25

total salary per week = $525

Best Computer:

total salary per week = 400 + 7.5% of 400

total salary per week = 400 + 7.5 / 100 of 400

total salary per week = 400 + 30

total salary per week = $430

Therefore, the best option including the commissions is the Hight tech job.

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Given statement solution is :- The magnitude of the resultant ground velocity is approximately 200 km/h.

To find the magnitude of the resultant ground velocity, we need to consider the vector addition of the airplane's airspeed and the wind velocity.

Let's break down the velocities into their respective components:

Airplane's airspeed:

Eastward component: 300 km/h (positive)

Northward component: 0 km/h (since the airplane is not moving vertically)

Wind velocity:

Eastward component: -100 km/h (negative since it's from the west)

Northward component: 0 km/h (since the wind is not moving vertically)

To find the resultant ground velocity, we add the corresponding components:

Eastward component: 300 km/h + (-100 km/h) = 200 km/h (eastward)

Northward component: 0 km/h + 0 km/h = 0 km/h (no vertical movement)

Using the Pythagorean theorem, we can calculate the magnitude of the resultant ground velocity:

Resultant ground velocity = \(√((Eastward component)^2 + (Northward component)^2)\)

= \(√((200 km/h)^2 + (0 km/h)^2)\)

= √(40,000 km²/h²)

≈ 200 km/h

Therefore, the magnitude of the resultant ground velocity is approximately 200 km/h.

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The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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Answer:

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = y2 - y1 / x1 - x2

m(x1 -x2) = y2 -y1

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

Multiply both sides by (x2 - x1)

m(x2 - x1) = y2 - y1

Add y1 to both sides

m(x2 - x1) + y1 = y2

y = m(x2 - x1) + y1

Answer:

Step-by-step explanation:

Cost of renting bowling alley = $ 100

Additional cost of renting bowling alley per person = $ 4

⇒ Total Cost for n no. of people = 100 + 4 × n

So, Cost for 15 people = Fix $100 for bowling alley

                                          + $4 for each 15 people

                                      = 100 + 4 × 15

                                    = 100 + 60

                                    = 160

Therefore, The cost for 15 people equals to $ 160.

pairs of identical jeans. The shirt cost $25.98 and the total bill is $97.94 write and equation to represent this situation

Answer:

36.33

Step-by-step explanation:

97.94-25.98=72.66  

72.66/2=36.33

Hope this helped!

Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

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