A new law requires that 15% of an individual's income to be invested in the stock market. Your accounts show that you need to put $435 in the stock market this year. How much did you earn this year?

The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.

The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.

Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".

While we have looking into the given statement, we have identified the following from it,

When we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.

So, all these things are collectively called as evidence.

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The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.

Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.

For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.

Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.

In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.

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Answer:

The Candy Store

Step-by-step explanation:

In order to find the best buy, we have to find the unit price for each store. The first store we will look at is the Candy Store. To find unit prices, we must divide the price by the number of merchandise for sale, as shown here:

6.99 / 50 = 0.1398

This means each piece of gum costs a little less than 14 cents.

Moving on to Sweet Treats:

5.75 / 40 = 0.14375

Each piece of gum at this store costs a little more than 14 cents.

Last but not least, Chew-Chew's:

4.25 / 25 = 0.17

Each piece of gum here costs 17 cents.

Now, to determine which price is better, we have to go with the lowest unit price, which would be at the first shop, the Candy Store, which is your answer.

Hope this helps :)

The Number of ways that four people can be seated on the bench so that john is not next to paul is 12

In mathematics, An arrangement of things or items in a specific sequence is known as a permutation. One should think about both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important.

The arrangement of n items in r ways is given by

Here we have

4 people (John, Paul, George, and Ringo) are seated in a row on a bench

Here total No of ways that 4 can be seated = 4 × 3 × 2 × 1 = 24

The number of ways of seating the four people so that john is next to paul is 12

Then the number of ways the four people on the bench so that john is not next to paul can find as given below

= Total No of ways, 4 can be seated - No of ways that john next to paul  

= 24 - 12 = 12        

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The probability of obtaining at least three heads on the tosses is 1/8. The probability of obtaining three heads if the first toss is a head is 1/4. There are 2^4 = 16 possible outcomes for the tosses of the penny, nickel, dime, and quarter. There is only one way to get all four heads, and there are four ways to get three heads.

Therefore, the probability of obtaining at least three heads on the tosses is 5/16 = 1/8. If the first toss is a head, there are three possible outcomes for the remaining tosses: HHH, HHT, and HTH. Therefore, the probability of obtaining three heads if the first toss is a head is 3/8 = 1/4.

The probability of obtaining at least three heads on the tosses can be calculated as follows:

P(at least 3 heads) = P(4 heads) + P(3 heads)

The probability of getting four heads is 1/16, since there is only one way to get all four heads. The probability of getting three heads is 4/16, since there are four ways to get three heads (HHHT, HTHH, THHH, and HHHH). Therefore, the probability of obtaining at least three heads on the tosses is 1/16 + 4/16 = 5/16.

The probability of obtaining three heads if the first toss is a head can be calculated as follows:

P(3 heads | first toss is a head) = P(HHH) + P(HHT) + P(HTH)

The probability of getting three heads with a head on the first toss is 3/8, since there are three ways to get three heads with a head on the first toss. Therefore, the probability of obtaining three heads if the first toss is a head is 3/8.

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Answer: 0.335

Step-by-step explanation:

all 10 to the 2nd power is its multiplying its self twice so if theirs a 3 its gonna be 10x10x10 i did 33.5 ÷ 100

The score which is needed on the fourth test so that as average score of 90 is earned as required in the task content is; 93.

According to the task content, it follows that the score needed so that an average score of 90 is earned on all four tests is to be determined.

Since, The average is the ratio of the sum of all scores to the number of scores; we have;

90 = (88 + 92 + 87 + x)/4

Multiply both sides by 4 so that we have;

360 = 88 + 92 +87 + x

Isolate x on one side of the equation;

x = 360 -88 -92 - 87

x = 93.

Ultimately, The score which is needed on the fourth test so that as average score of 90 is earned as required in the task content is; 93.

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The requried combined length of both trains is 900 meters or 900 km.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Let's first convert the given speeds from km/h to m/s to make the calculations easier.

Speed of the first train = 102 km/h = (102 x 1000) m/3600 s = 28.33 m/s

Speed of the second train = 30 km/h = (30 x 1000) m/3600 s = 8.33 m/s

Now, let's consider the relative speed of the two trains since they are moving in the same direction:

Relative speed = Speed of first train - Speed of second train

= 28.33 - 8.33

= 20 m/s

Let's assume that the length of the first train is x m and the length of the second train is y m.

Distance covered by first train in 45 seconds = (x + y) m

Speed of first train = Distance covered by first train / Time taken

= (x + y) / 45 km/s

We know that the speed of the first train is 20 m/s. So, we can write:

20 = [(x + y) / 45]

Solving for (x + y),

x + y = 900 m

Therefore, the combined length of both trains is 900 meters or 900 km.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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None of the given sequences could be the beginning of a geometric sequence.

To determine which sequence could be the beginning of a geometric sequence, we need to check if there is a common ratio between consecutive terms.

A. \(125, 150, 180, 215\): The common differences between the terms are \(25\), \(30\), and \(35\), which indicates an arithmetic sequence, not a geometric sequence.

B. \(125, 150, 180, 216\): The common differences between the terms are \(25\), \(30\), and \(36\), which also suggests an arithmetic sequence, not a geometric sequence.

C. \(125, 155, 185, 215\): The common differences between the terms are \(30\), 30, and 30, indicating an arithmetic sequence, not a geometric sequence.

D. \(124, 175, 205, 215\): The common differences between the terms are 51, 30, and 10, suggesting an arithmetic sequence, not a geometric sequence.

None of the given sequences exhibit a constant ratio between consecutive terms, indicating that none of them could be the beginning of a geometric sequence.

NOTE: The given question is incomplete. The complete question is:

Which Of The Following Could Be The Beginning Of A Geometric Sequence?

\(A. 125, 150, 180, 215\\B. 125, 150, 180, 216\\C. 125, 155, 185, 215\\D. 124, 175, 205, 215\)

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Answer:

d???

Step-by-step explanation:

i think

The total area of the back and side walls that should be painted is 57 square meters.

To calculate the total area of the back and side walls that need to be painted, we need the dimensions of the walls. Let's assume we have the following dimensions:

Back Wall:

Height = 3 meters

Width = 5 meters

Side Wall 1:

Height = 3 meters

Length = 8 meters

Side Wall 2:

Height = 3 meters

Length = 6 meters

To calculate the area of each wall, we multiply the height by the width/length:

Area of Back Wall = Height * Width = 3 meters * 5 meters = 15 square meters

Area of Side Wall 1 = Height * Length = 3 meters * 8 meters = 24 square meters

Area of Side Wall 2 = Height * Length = 3 meters * 6 meters = 18 square meters

To calculate the total area of the back and side walls that need to be painted, we add up the individual areas:

Total Area = Area of Back Wall + Area of Side Wall 1 + Area of Side Wall 2

          = 15 square meters + 24 square meters + 18 square meters

          = 57 square meters

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The Probable question may be:

What is the total area of the back and side walls that need to be painted if the dimensions are as follows?

Back Wall:

Height = 3 meters

Width = 5 meters

Side Wall 1:

Height = 3 meters

Length = 8 meters

Side Wall 2:

Height = 3 meters

Length = 6 meters

Answer:

length = 17.3 m

Step-by-step explanation:

Rectangles have four right angles, so the diagonal and its sides will form a right triangle.  This allows us to use the Pythagorean Theorem to find the length.

l^2 + 18^2 = 25^2

sqrt l^2 = sqrt (25^2 - 18^2), where l = 17.349 = 17.3 m

Answer:

C???????????????¿?????????¿???

The answer is (a) There is not enough information to compare John's and Peter's exam scores.

A z score and a T score are both measures of how a particular score compares to the mean in a distribution, but they are calculated using different formulas. A z score measures the number of standard deviations a score is from the mean, while a T score is a linear transformation of the raw score that is adjusted to have a mean of 50 and a standard deviation of 10.

Without additional information about the specific distribution of scores, the mean, and the standard deviation, we cannot determine the raw scores of John and Peter or compare their relative performance on the exam. The z score of 0.5 for John indicates that his score is half a standard deviation above the mean, but we don't know the actual raw score. Similarly, the T score of 60 for Peter indicates that his score is above the mean, but we don't have enough information to determine the raw score or make a direct comparison between the two.

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Answer:

Length: 18 inches

Width: 6 inches

Step-by-step explanation:

l+w=24

l=3w    w=1w

3w+w=24

       w=6

Length: 3*6=18 inches

Width: 6 inches

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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The number of 5ths that equals 9 is gotten bus using multiplication property of equality by multiplying 9 by 5 to give; 45

We want to find the number of 5ths that equals 9. We can express this as;

¹/₅x = 9

Where x is the number that is multiplied with one - fifth to equal 9.

To solve it, we will apply multiplication property of equality by multiplying both sides by 5 to get;

x = 45

Thus, the number of 5ths that equals 9 is 45.

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Answer:

The value is 4

Step-by-step explanation:

This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.

Answer: 4

Step-by-step explanation: The absolute value is how far a number is away from 0

Step-by-step explanation:

a)y=-10 x=-1

b)y=-9 x=2/3

c) y=8 x=3

d)y=-8 x=2

e)y=15.5 x=-6

hope this helps bro

The correct values are;

a) y = - 10, x = - 1

b) y = - 9, x = 2/3

c) y = 2, x = 3

d) y = - 8, x = 2

e) y = 6.5 , x = 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some expressions.

Now,

Find all the values after substitute the values as;

a. y = 6x + 8

When x = - 3;

y = 6 × - 3 + 8

y = - 18 + 8

y = - 10

When y = 2,

y = 6x + 8

2 = 6x + 8

2 - 8 = 6x

- 6 = 6x

x = - 1

b. y = 3x

When x = - 3;

y = 3 × - 3

y = - 9

When y = 2,

y = 3x

2 = 3x

x = 2/3

c. y = - x + 5

When x = - 3;

y =  - 3 + 5

y = 2

When y = 2,

y = - x + 5

2 = - x + 5

x = 5 - 2

x = 3

d. y = 2x - 2

When x = - 3;

y = 2 × - 3 - 2

y = - 6 - 2

y = - 8

When y = 2,

y = 2x - 2

2 = 2x - 2

2x = 2 + 2

2x = 4

x = 2

e. y = 1.5x + 11

When x = - 3;

y = 1.5 × - 3 + 11

y = - 4.5 + 11

y = 6.5

When y = 2,

y = 1.5x + 11

2 = 1.5x + 11

1.5x = 2 - 11

1.5x = - 9

x = 6

Thus, The correct values are;

a) y = - 10, x = - 1

b) y = - 9, x = 2/3

c) y = 2, x = 3

d) y = - 8, x = 2

e) y = 6.5 , x = 6

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Answer:

I believe your answer is 50.27! :)

When a graph is vertically compressed by a factor of k the parent function is divided by a non zero number k.

When the parent function, f(x)=x is compressed by a factor of 2, the new function can be determined as,

Thus, the required new function is 0.5x.

Answer:

true

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

8+4=12 12 divided by 3=4

Answer: K = 8

Step-by-step explanation:

For these kinds of problems you have to isolate the variable, the one we're trying to isolate is k.

First step is adding 4 to both sides to get rid of the -4 on the left.

Once you do that youll have 4k = 36.

Now divide both sides by 4 to get the k by itself, this'll give you k = 8.

You can plug it in to see if it's right.

4(8) - 4 = 32

36 - 4 = 32

32 = 32

So its correct

Answer:

15:18.75:26.25

Step-by-step explanation:

4:5:7

Total=16

60/16 = 3.75

4 x 3.75 = 15

5 x 3.75 = 18.75

7 x 3.75 = 26.25

15:18.75:26.25

Answer: $15 : $18.75 : $26.25

Step-by-step explanation:

4 + 5 + 7 = 16

4/16 × $60 = $15

5/16 × $60 = $18.75

7/16 × $60 = $26.25

Sampling methods that may be biased for finding the percentage of defective boards in a sawmill production are: selecting 30 consecutive boards, emailing customers and relying on their responses, and selecting every 40th board produced. So, the correct answer is A, B and D.

The biased sampling methods are Examining 30 consecutive boards one hour after production begins may be biased because it only captures a snapshot of the production at that specific time, and the boards selected may not be representative of the entire batch produced during the day.

Emailing customers to ask about defective boards may be biased because the response rate may vary among customers, and customers who experienced a higher or lower number of defective boards may be more likely to respond.

Selecting 20 boards at random each day for 5 days and examining them is less likely to be biased, as long as the selection process is truly random and representative of the entire production.

Selecting every 40th board produced over the course of one week is also less likely to be biased if the production process is consistent and there are no patterns or variations in the production that would affect the quality of every 40th board. So, the correct answer for biased is A, B and D.

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The mass of each ball has a significant effect on its motion. According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Therefore, a larger mass requires a greater force to achieve the same acceleration compared to a smaller mass.

In the given data chart, we have three different balls: baseball, bowling ball, and beach ball, with masses of 400 grams, 900 grams, and 10 grams, respectively.

Considering the same force applied to each ball, the baseball with a mass of 400 grams will experience a higher acceleration compared to the bowling ball with a mass of 900 grams. This means that the baseball will be easier to set in motion and will travel faster than the bowling ball for the same force applied.

On the other hand, the beach ball with a mass of 10 grams will experience a much higher acceleration compared to both the baseball and the bowling ball. Due to its significantly lower mass, even a small force will cause the beach ball to accelerate quickly and travel faster than the other two balls.

In summary, the mass of each ball directly affects its motion. The larger the mass, the greater the force required to achieve the same acceleration. Therefore, the baseball, bowling ball, and beach ball will have different levels of ease in motion and different speeds based on their respective masses.

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$10.50

10 Tickets would be $105.00

$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

$205.00 - $199.50 = $5.50 which isn't enough for another ticket.

10 Tickets + 9 Tickets = 19 Tickets.

4800 patients

Step-by-step explanation:

120 of 1000 means 12%

12% of 40000 is 4800