What is 140% of 600? Round to the nearest hundredth (if necessary).

To prevent a trademark from becoming generic, companies often utilize it as an adjective to describe the product category it belongs to, as seen with examples like Jell-O Brand Gelatin.

Trademarks are valuable assets for companies as they distinguish their products or services from those of competitors. However, if a trademark becomes generic, it loses its distinctiveness and legal protection. When a trademark becomes a common name for a particular product or service, it is no longer associated exclusively with a specific brand.

To prevent this from happening, companies may use their trademarked name as an adjective to describe the category or type of product it represents. For instance, Jell-O is a well-known brand for gelatin, and the company uses the term "Jell-O Brand Gelatin" to emphasize that Jell-O is a specific brand within the gelatin category.

By using the trademark as an adjective, companies aim to reinforce the connection between their brand and the product category while maintaining the distinctiveness and exclusivity of their trademark. This practice helps protect the trademark's strength and prevents it from becoming a generic term that any company can use, thus preserving its legal protection and brand identity.

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The value 155 is zero standard deviations from the mean, because x = μ , and therefore z = 0.

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

The key concept we need to manage here is the z-scores , and we can obtain a z-score using the next formula:

z = (x - μ)/σ      ..............[1]

Where

z is the z-score.

x is the raw score: an observation from the normally distributed data that we want standardize using [1].

μ is the population mean.

σ is the population standard deviation.

These standardized values have always the same probability in the standard normal distribution, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155.

From the question, we know that:

x = 155.

μ = 155

σ = 50

Having into account all the previous information, we can say that the raw score, x = 155, is zero standard deviations units from the mean. The subject earned a score that equals the population mean. Then, using [1]:

z = (x - μ)/σ

z = (155 - 155) / 50

z = 0/50

z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

x = μ

Therefore, z = 0

So, the value 155 is zero standard deviations from the [population] mean.

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the expression can be negative under various circumstances.

An expression means to subtraction two numbers from a given number.

Let the numbers be a, b and c

Do, the expression will become:

a - b - c.

The expression can be negative if:

1. the value of b + c > a

For example: a = 4, b = 5 and c = 6

so, the expression will be

4 - 5 - 6 = - 7

2. The value can be negative if a - b < c

For example:

a = 2, b = 1 and c = 6

The expression will be:

2 - 1 - 6 = - 5

3. The value can be negative if a - c < b

For example:

a = 1, b = 6 and c = 2

The expression will be:

1 - 6 - 2 = - 7

Therefore, we get that the expression can be negative under various circumstances.

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Data

Option 1

• $1000.50 per year until you are 21.

Option 2

• $1 this year, $2 next year, and so on, doubling the amount until 21.

Procedure

• Option 1

• Option 2

Based on these equations, we would need to know the year that she would start giving us money and if the account had some money previously, as it would be added as a constant.

For example, if we had already $800, then we would have to add as follows:

Answer: we would have to know if the account had some money previously.

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

Length of the string let out by Jim is 156.9 m.

Step-by-step explanation:

From the figure attached,

Jim observes the angle of elevation of the kite = 85°

And Patty observes the angle of elevation of the kite = 40°

Angle formed between the lines joining kite to Jim and Patty = 180° - (85 + 40)° = 55°

Distance between Jim and Patty = 200 m

Let the length of the string between Jim and the kite = x meters

By applying Sine rule in the triangle formed between Jim, Patty and the kite,

\(\frac{\text{Sin}55}{200}=\frac{\text{Sin}40}{x}\)

x = \(\frac{200\times \text{Sin}40}{\text{Sin}55}\)

x = 156.94 m

  ≈ 156.9 m

Therefore, length of the kite string from Jim and the kite is 156.9 m.

Answer:

  43.5 square units

Step-by-step explanation:

You want to know the area of shading in a 12 by 7 rectangle with a white right triangle of side length 9 removed.

The area of the white triangle is ...

  A = 1/2bh

  A = 1/2(9)(9) = 40.5 . . . . square units

The area of the rectangle is ...

  A = LW

  A = (12)(7) = 84 . . . . square units

The shaded area is the area of the rectangle that is not included in the triangle.

  Shaded area = 84 -40.5 = 43.5 . . . . square units

__

Additional comment

The given figure cannot actually be constructed. The triangle is too large to be inscribed in the rectangle. An inscribed right triangle can have a side length between 7 and √74 ≈ 8.6.

Answer:

The remainder is 4.

Step-by-step explanation:

Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:

When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?

The explanation of the answer is now given as follows:

Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.

Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.

Therefore, we have:

Sum of the possible values of k = 7 + 14 = 21

Also, we have:

Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.

Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.

The solution to the system of equations is x = 5 and y = -1.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equation 2x - 6y = 16 and x + y = 4

Let's start with the second equation:

x + y = 4

We can solve for one of the variables, say y, by subtracting x from both sides:

y = 4 - x

Now we can substitute this expression for y into the first equation:

2x - 6y = 16

2x - 6(4 - x) = 16

Expanding and simplifying, we get:

2x - 24 + 6x = 16

Combining like terms, we get:

8x - 24 = 16

Adding 24 to both sides, we get:

8x = 40

Dividing both sides by 8, we get:

x = 5

Now we can substitute this value of x into either of the original equations to find y. Let's use the second equation:

x + y = 4

5 + y = 4

Subtracting 5 from both sides, we get:

y = -1

Therefore, The solution to the system of equations is x = 5 and y = -1.

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Answer:

The value of n is n = 2.56 cm

Option D is correct option.

Step-by-step explanation:

Perimeter of hexagon = 14.7 cm

Five sides have length = n cm

One side has length = 1.9 cm

We need to find value of n

The formula used to find Perimeter of hexagon is : \(Perimeter = Sum\;of\:all\:sides\)

We can write:

\(Perimeter = Sum\;of\:all\:sides\\14.7=5n+1.9\\\)

Because 5 sides have length = n so, 5n and one side has length = 1.9

Now, solving to find n

\(14.7-1.9=5n\\5n=12.8\\n=\frac{12.8}{5}\\n=2.56\)

So, The value of n is n = 2.56 cm

Option D is correct option.

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

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A reasonable prediction of the number of miles Robbie will walk in the fourth week is also 15 miles.

The average miles walked by Robbie in the past three weeks is 15+13+17/3 = 15 miles

Therefore, a reasonable prediction of the number of miles Robbie will walk in the fourth week is also 15 miles.

The number of miles walked by Robbie in the past three weeks is given as follows:

Week 1: 15 miles

Week 2: 13 miles

Week 3: 17 miles

To find out the average miles walked by Robbie in the past three weeks,

we need to sum the miles walked each week and divide the sum by 3 as shown below:

Average miles walked = (15+13+17)/3=45/3=15 miles

So, the average miles walked by Robbie in the past three weeks is 15 miles.

Therefore, a reasonable prediction of the number of miles Robbie will walk in the fourth week is also 15 miles.

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Answer:

x^2-7x+8=0

Step-by-step explanation:

(x+1)(x-8)=0

x^2-7x+8=0

Answer:

Step-by-step explanation:

The first cat eats 1/15 of a bag per minute.

The second cat eats 1/10 of a bag per minute.

Together, they eat 1/15 + 1/10 = 1/6 of a bag in one minute.

Hence both can eat \(\frac{2x+3y}{30}\)

when we form equations  out of given statements and then solve them to obtain answer are said word problems.

Given cat x can eat treat = 15 mints

cat x in 1 mint= x/15

given cat y can eat treat = 10 mints

cat y in 1 mint= y/10

hence both cats if eat together =\(\frac{x}{15} +\frac{y}{10}\)

=\(\frac{2x+3y}{30}\)

hence both can eat \(\frac{2x+3y}{30}\).

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Client will have improved oral hygiene practices, including regular brushing, flossing, and using mouthwash, resulting in healthier oral mucous membranes.

L. Directions: Choose the outcomes that are written correctly below. Identify what's wrong with the statements that are written incorrectly.

1. John will know the four basic food groups by I/14.

  - Incorrect: The date format is incorrect; it should be written as 1/14 instead of I/14.

2. Mry. Eipert will demoastrate how to use her walker unassisted by Saturday.

  - Incorrect: There is a spelling error in "Mry. Eipert"; it should be "Mrs. Eipert." Additionally, "demoastrate" should be "demonstrate."

3. Mr. McKillop will improve his appetite by 11/5.

  - Incorrect: The date format is incorrect; it should be written as 11/5 instead of 11/5.

4. Erica will list the equipment needed to change sterile dressings by 9/5.

  - Incorrect: The date format is incorrect; it should be written as 9/5 instead of 9/5.

5. Mrs. Baylis will understand the importance of maintaining a salt-free diet.

  - Correct: No issues found. The statement is written correctly.

6. Nurse will bathe client every day during hospitalization.

  - Correct: No issues found. The statement is written correctly.

IL. Directions: For each diagnosis or problem below, write an appropriate client goal and outcome.

1. Constipation related to insufficient roughage intake in the diet

  - Client Goal: Increase regular bowel movements and relieve constipation.

  - Outcome: Client will have a bowel movement at least once daily by incorporating high-fiber foods into the diet.

2. Altered oral mucous membranes related to poor oral hygiene

  - Client Goal: Improve oral health and maintain healthy mucous membranes.

  - Outcome: Client will have improved oral hygiene practices, including regular brushing, flossing, and using mouthwash, resulting in healthier oral mucous membranes.

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Answer:

Multiplying each side by the denominator

Step-by-step explanation:

A) Kim can make 4 batches of pancakes with 1/2 cup of almonds.

B) A fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds is given in the attachment.

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

To find out how many batches of pancakes Kim can make with 1/2 cup of almonds, we need to divide 1/2 by 1/8, which is the amount of almonds she uses per batch.

A) Number of cups of almonds = 1/2

Number of cups of almonds to make a batch of pancakes = 1/8

Therefore, the batches of pancakes that she can make will be:

= 1/2÷ 1/8

= 1/2 × 8/1

= 4

So, Kim can make 4 batches of pancakes with 1/2 cup of almonds.

B) a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds is given in the attachment.

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The underlined part of the sentence can best be described as an adjective phrase.

In formation of sentences in English language, the words that are used usually include the following parts of speech:

An Adjective is a word that describes or modifies a noun or a pronoun. While adjective phrase is the phrase that can be used to modify or describe a noun in a sentence.

From the sentence given, extremely excited is adverbial phrase used to modify the noun vacation.

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The probability of picking two blue marbles is 1/21.

Probability is used to determine how likely it is that a random event would occur. The probability of a random event happening lies between 0 and 1. If it is certain the event would happen, the probability value is 1 and if it is certain that the event would not happen, the probability value is 0.

Probability of picking two blue marbles = (number of blue marbles / total number of marbles) x (number of blue marbles -1 / total number of marbles - 1)

Total number of marbles = 7

(2/7) x (2-1/7-1)

2/7 x 1/6 = 1/21

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Answer:

206.39121408

Step-by-step explanation:

So you do, (1.2*10)^10 which equals to 61917364224. divide that number by 300million. and that answer is 206.39121408 or in money, you could say, 206 dollars and 39 cents

The population of the United States is approximately 300 million people, and there are approximately 1.2 × 10 to the tenth power US dollars in existence; if that money is distributed evenly, each person receives $206.39121408.

Given that,

\((1.2\times10) ^{10}\)   which equals  61917364224.

divide 61917364224 by 300million

∴  61917364224 / 300

= 206.39121408

Therefore,  206.39121408 is an abbreviation for 206 dollars and 39 cents.

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The smallest possible area of the new rectangle is 52 square units.

In the question, we are given that a rectangle has side lengths of integral value.

We assume the lengths to be x and y units respectively, such that x and y are integers.

In the new arrangement, one pair is increased by 30%, and the other pair is decreased by 20%, such that the new sides are also integers.

We assume a 30% increase in x.

New side = x + 30% of x = x + 30/100 of x = x + 3x/10 = 13x/10.

For this to be an integer, x needs to be a multiple of 10.

Since we are considering the smallest area, we will consider the smallest multiple of 10, that is, 10 itself.

Hence, side 1 = 13 units.

We assume a 20% decrease in y.

New side = y - 20% of y = y - 20/100 of y = y - y/5 = 4x/5.

For this to be an integer, y needs to be a multiple of 5.

Since we are considering the smallest area, we will consider the smallest multiple of 5, that is, 5 itself.

Hence, side 2 = 4 units.

Now, the area of this rectangle is the product of its sides = 13*4 sq. units = 52 sq. units.

Therefore, the smallest possible area of the new rectangle is 52 square units.

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Answer:

1/4^2 (The first one)

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

13R - (-14)

Step-by-step explanation:

I believe this is the right answer i really hope it is im sorry if its wrong

Have a good day!

Answer -36r^2 + 101r - 45

Step-by-step explanation:

Answer:3y +=7  

=>3y-7-x

 =>y=(7-x)/3                               Step-by-step explanation:Solve for 'y' means, solve the equation to get the value of y and in terms of ,x means value of y not necessarily in pure constant form,but in the form of x.

Answer: A.

A weak positive correlation

Step-by-step explanation: