According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. how many cruise passengers must there have been in 2017? write your answer in millions and rounded to two decimal places.

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Option A is the ryt answer..

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Yup option A.

Hope all goes well!!! No one likes their momma being mad at em soo im praying that you don't die lol hahahaha

Step-by-step explanation:

The square root function is translated so that the endpoint is located at (-7,7), \(g(x)= \sqrt{x+7} +7\)  and this can be determined by using the transformation.

The square root parent function is translated so that the endpoint is located at (-7,1).

The following steps can be used to determine the equation that represents this new function:

                       \(f(x) =\sqrt{x}\)

\(g(x)= \sqrt{x+7} +7\)

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Gantt chart, a variation of the bar chart, is useful for tracking progress toward completing a series of events over time.

A Gantt chart is a project management tool that displays business activities over time. Gantt charts were created in the early 20th century by Henry Gantt to improve project planning, scheduling, and tracking by describing how work is being done compared to planned work. Today, project managers and team members use only one tool to plan projects, allocate resources, and track progress.

It is a bar chart that shows the status of the project, when each task should occur, and how long each task will take to complete. As the project progresses, graphs are shaded to show which tasks have been completed. Using Project Manager's Gantt chart, we can assign tasks to our partners, schedule them, estimate costs, and track progress in a timely manner. Therefore, a Gantt chart can be used to track the progress of completion events over time..

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The matrix A that represents the set W, consisting of vectors of the form [r, s, t] with real numbers, is constructed by organizing the coefficients of r, s, and t as the columns of A. The resulting matrix A is given by A = [0 0 2 48; s 2 1 0; 0 -5 1 0; 0 0 0 1]

Let's break down the construction of matrix A step by step.

Given that W is the set of all vectors of the form [r, s, t] where r, s, and t are real numbers, we want to find a matrix A such that the column space of A (Col(A)) represents W.

The matrix A will have as its columns the coefficients of r, s, and t in the given expression.

Column 1 of A: Coefficients of r

In the expression, we have 5sr + 3t, so the coefficient of r is s. Therefore, the first column of A will be [0, s, 0, 0] since there is no r term in the expression.

Column 2 of A: Coefficients of s and t

In the expression, we have 2sr - 5t. The coefficient of s is 2, and the coefficient of t is -5. Therefore, the second column of A will be [0, 2, -5, 0] with the corresponding coefficients.

Column 3 of A: Coefficients of r, s, and t

In the expression, we have 2r + s + t. The coefficients of r, s, and t are 2, 1, and 1, respectively. Therefore, the third column of A will be [2, 1, 1, 0] with the corresponding coefficients.

Column 4 of A: Coefficients of r and t

In the expression, we have 48r + t. The coefficient of r is 48, and the coefficient of t is 1. Therefore, the fourth column of A will be [48, 0, 0, 1] with the corresponding coefficients.

Putting it all together, the matrix A that represents W = Col(A) is:

A = [ 0 0 2 48 ]

[ s 2 1 0 ]

[ 0 -5 1 0 ]

[ 0 0 0 1 ]

Each column of A corresponds to the coefficients of r, s, and t in the given expression, forming the column space that represents the set W.

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Answer:

75

Step-by-step explanation:

root21² + root72²= 75

The critical point of f(x, y) restricted to the boundary of D, not at a corner point, is at (a, b). Then a= 5/2 and b = 0 Absolute minimum of f(x, y) is -25/4 and absolute maximum is 25 .

The critical point of f(x, y) is restricted to the boundary of D

f(x,y) = x² − xy + y² − 5x + 5y

The partial derivatives of f(x, y) are

∂f/∂x = 2x - y - 5

∂f/∂y = -x + 2y + 5

Now, let's examine the boundary of D. The given conditions state that 0 ≤ y ≤ x ≤ 5.

When y = 0: In this case, the boundary is the line segment where y = 0 and 0 ≤ x ≤ 5. We can restrict our analysis to this line segment.

Substituting y = 0 into the partial derivatives

∂f/∂x = 2x - 0 - 5 = 2x - 5

∂f/∂y = -x + 2(0) + 5 = -x + 5

Setting both partial derivatives to zero

2x - 5 = 0

=> x = 5/2

Therefore, at (x, y) = (5/2, 0), we have a critical point on the boundary.

When y = x

Substituting y = x into the partial derivatives

∂f/∂x = 2x - x - 5 = x - 5

∂f/∂y = -x + 2x + 5 = x + 5

Setting both partial derivatives to zero

x - 5 = 0

=> x = 5

Therefore, at (x, y) = (5, 5), we have a critical point on the boundary.

When x = 5

Substituting x = 5 into the partial derivatives

∂f/∂x = 2(5) - y - 5 = 10 - y - 5 = 5 - y

∂f/∂y = -5 + 2y + 5 = 2y

Setting both partial derivatives to zero

5 - y = 0

=> y = 5

Therefore, at (x, y) = (5, 5), we have a critical point on the boundary.

Two critical points on the boundary: (5/2, 0) and (5, 5).

Now, let's evaluate the function f(x, y) at these points to determine the absolute minimum and maximum.

For (5/2, 0)

f(5/2, 0) = (5/2)² - (5/2)(0) + 0² - 5(5/2) + 5(0)

f(5/2, 0) = 25/4 - 25/2

f(5/2, 0) = -25/4

For (5, 5)

f(5, 5) = 5² - 5(5) + 5² - 5(5) + 5(5)

f(5, 5) = 25 - 25 + 25

f(5, 5) = 25

Therefore, the absolute minimum of f(x, y) is -25/4, which occurs at (5/2, 0), and the absolute maximum is 25, which occurs at (5, 5).

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Answer:

d = 3; c = -2

Step-by-step explanation:

-4c+7d=29

6c+4d=0

using the second equation we express C:

6c = -4d => c = -4/6 d

substitute the resulting value into the first equation:

4 * 4/6 d + 7d = 29

58d/6 = 29

58d = 174

d = 3

now find the value of C:

c = - 4/6 * 3 = -12/6

c = -2

One possible explanation for the difference in responses to the survey question could be the order in which the questions were presented. It is possible that the question that was answered yes by 75% of one group was presented earlier in the survey for that group, while it was presented later in the survey for the other group.

Research has shown that the order in which questions are presented can have an effect on how people respond to them. This effect is known as "question order bias" or "primacy and recency effects". The first few questions of a survey can set the tone for how participants answer subsequent questions, and the order of the questions can affect the responses.

Another possible explanation for the difference in responses could be sampling error or chance. Even if the two groups are similar, there can still be variability in the responses due to random chance. If the survey question was a sensitive topic or there was ambiguity in the wording of the question, this could also contribute to the difference in responses.

In summary, the difference in responses to the survey question between the two groups could be due to question order bias, sampling error, or other factors. It is difficult to determine the exact cause without more information about the survey and the specific question that was asked.

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Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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When a=6, the value of b is equals to -43.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, which can be simplified and evaluated.

In other words, an algebraic expression is a collection of terms and coefficients that are connected by mathematical operators.

Substitute the value of a=6 into the expression for b:

b = -1 - 7a

b = -1 - 7(6)

b = -1 - 42

b = -43

Therefore, when a=6, the value of b is -43.

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The value of x as per the similarity of triangles is = 7.1.

If two triangles' sides have the same ratio or proportion and their angles are the same (corresponding angles), then the triangles will resemble one another (corresponding sides).

Similar triangles may have varied side lengths when compared individually, but they must all have the same ratio of their side lengths and equal angles.

Now in the figure, the triangles are similar.

So, sides of the triangles will be proportional to each other.

Now, 9/15 = 4.3/x

⇒ x = (4.3 × 15)/ 9

⇒ x = 7.1

Therefore, the value of x as per the similarity of triangles is = 7.1.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

x= 45°

Step-by-step explanation:

When you add the all of the angles together, it should equal 180°. You have 90° already so 180-90= 90. Now divide- 90÷2 (because there are two congruent angles)=45°

Answer:

(4.1) Equation Form: x = 4 , y = 1

Answer: (4,1)

Step-by-step explanation:

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

\(0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0\)

Factor:

\(-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2\)

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!

A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

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Answer: equal to

Step-by-step explanation:

If c is zero and b+c=a then b would equal a

Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Answer: 6\(a^{2}\)+a-12

Step-by-step explanation:

First, you want to distribute (2a+3)(3a-4) ---> 2a(3a-4) + 3a(3a-4)

That will get you 6\(a^{2}\)-8a+9a-12

Next, you will want to combine like terms to get 6\(a^{2}\)+a-12

Since you cannot simplify that any further, 6\(a^{2}\)+a-12 is your answer.

A detailed analysis of these statements or their significance within a larger problem or mathematical framework.

Among the given options, the false statement is "d. 1 t 5." This statement is false because it does not adhere to standard mathematical notation. The expression "1 t 5" is ambiguous and does not represent a valid mathematical operation or relationship.

In mathematics, expressions typically involve specific mathematical symbols, such as numbers, variables, and operators, which are used to perform calculations or convey mathematical relationships. The symbols and operators have well-defined meanings and conventions, allowing for clear and unambiguous communication of mathematical ideas.

In the given options, the other statements (a, b, and c) adhere to standard mathematical notation and represent valid mathematical expressions.

a. 41 - 16: This expression represents the subtraction of 16 from 41. It is a valid arithmetic operation that results in the value 25.

b. 2 + 5: This expression represents the addition of 2 and 5. It is a valid arithmetic operation that results in the value 7.

c. 710: This expression represents the number 710. It is a valid numerical value with no mathematical operations or relationships associated with it.

However, it is important to note that without further context or information, it is difficult to provide a detailed analysis of these statements or their significance within a larger problem or mathematical framework.

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Answer:First isolate the term that has a W in it. To do that, you need to subtract 2L from both sides:

P - 2L = 2W

Now to get to just a single W, divide both sides by 2:

(P - 2L)/2 = W

Switch it around, so W is the subject:

W = (P - 2L)/2

If you like, you can simplify that by distributing the 2 into the parentheses:

W = P/2 - 2L/2

W = P/2 - L

Answer:

W = P/2 - L

Alternative solution; start by dividing both sides by 2:

P/2 = L + W

Subtract L from both sides:

P/2 - L = W

Switch it around, so W is on the left.

Answer:

W = P/2 - LStep-by-step explanation:

Answer:

w=(-p+2l)/2

Step-by-step explanation:

p=2l+2w

2w=-p+2l

w=(-p+2l)/2

y = 700.7x + 41,708 is the equation expressing the number y of shopping centers in terms of the number x of years after 1997. And the number of shopping centers will reach 60,000 approximately 26.2 years after 1997, or around the year 2023.

(a) Let x be the number of years after 1997, then we can express the number of shopping centers y as a function of x as:

y = mx + b

where m is the rate of change (slope) and b is the initial value. To find m, we can use the two data points:

(0, 41,708) and (10, 48,715)

m = (48,715 - 41,708) / (10 - 0) = 700.7

So the equation becomes:

y = 700.7x + 41,708

(b) We want to find the value of x when y = 60,000. Substituting y = 60,000 into the equation, we get:

60,000 = 700.7x + 41,708

Solving for x, we get:

700.7x = 60,000 - 41,708

x = (60,000 - 41,708) / 700.7

x ≈ 26.2

So the number of shopping centers will reach 60,000 approximately 26.2 years after 1997, or around the year 2023.

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Answer: x = 25

Step-by-step explanation:

x-16=9

Add 16 on both sides

x = 25

Answer:

x = 25

Step-by-step explanation:

x−16=9

Add 16 to both sides.

x−16+16=9+16

x=25

Answer:

x-int (-250, 0)

y-int (0, 100)

General Formulas and Concepts:

Algebra

Step-by-step explanation:

According the the line on the graph, we see that our x-intercept occurs when x = -250. We also see that our y-intercept occurs at y = 100.

x-int (-250, 0)

y-int (0, 100)

Answer:

X-intercept: (-250,0) and Y-intercept: (0,100)

Step-by-step explanation:

The x-intercept is where the line goes through the x line and the y-intercept is where the line goes through the y line. Please mark me brainliest. Also I hope it helped!

When you reflect across the Y axis, the Y value remains the same and the x value becomes opposite.

Answer: (5,-3)

\(\textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{14}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ x=\sqrt{ 14^2 - 7^2}\implies x=\sqrt{ 196 - 49 } \implies x=\sqrt{ 147 }\implies x\approx 12.12\)

To find the missing side in a right triangle, use the Pythagorean theorem.

In this question, we are given two sides of a right triangle, 14 and 7, and we need to find the missing side, which we'll call x. To solve for x, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

Using the Pythagorean theorem, we can set up the following equation:

14^2 + 7^2 = x^2

Simplifying this equation, we get:

196 + 49 = x^2

x^2 = 245

Finally, taking the square root of both sides, we find that:

x = √245

Rounding to the nearest tenth, we get:

x ≈ 15.6

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