Mandy and Jennifer went dinner together
They
spent $45.67 on their meal. They had to pay
65% tax on their bill.

The number of different ways a viewer can complete the poll if exactly one response is given to each question is 243.

This is a question of permutations and combinations.

It is given in the question that an opinion poll is to be conducted among cable tv viewers. There are five multiple-choice questions, each with three possible answers.

We have to find the number of different ways a viewer can complete the poll if exactly one response is given to each question.

A viewer can do a question with three possible answer in 3 ways, by choosing any one of them.

Hence,

Number of different ways a viewer can complete the poll with 5 questions if exactly one response is given to each question = 3*3*3*3*3 = 243.

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The rule representing this dilation is (x, y) → (kx, ky), where (x, y) represents the coordinates of a point in the original quadrilateral and (kx, ky) represents the coordinates of the corresponding point in the smaller dilated quadrilateral.

In a dilation, the center of dilation determines the fixed point around which the shape is enlarged or reduced. When the origin is chosen as the center of dilation, the rule (x, y) → (kx, ky) is used. The scale factor k determines the amount of enlargement or reduction, where a scale factor greater than 1 enlarges the shape and a scale factor between 0 and 1 reduces the shape. By applying this rule to each coordinate of the original quadrilateral, the smaller dilated quadrilateral is obtained, maintaining the same shape but at a different size.

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Answer:

f^(-1)(x) = e^(x/3)

Step-by-step explanation:

1.  Replace 'f(x)' by 'y:'  y = 3ln x

2. Interchange x and y:  x = 3ln y => x/3 = ln y

3. Solve for y:  

   e^(x/3) = y

4.  Replace this 'y' with 'f^(-1)(x)'

    Then f^(-1)(x) = e^(x/3)

Answer:

11.5

Step-by-step explanation:

-1*-11.5=11.5

uv= u times v

-1 times -11.5 equals 11.5

The equation of the tangent line to the curve x² + xy - y² = 1 at the point (2, 3) is y = (7/4)x - 1/2.

To find the equation of the tangent line to the curve x² + xy - y² = 1 at the point (2, 3), we need to determine the slope of the tangent line at that point and use the point-slope form of a line.

1: Find the slope of the tangent line.

To find the slope, we differentiate the equation of the curve implicitly with respect to x.

Differentiating x² + xy - y² = 1 with respect to x:

2x + y + x(dy/dx) - 2y(dy/dx) = 0.

Simplifying and solving for dy/dx:

x(dy/dx) - 2y(dy/dx) = -2x - y,

(dy/dx)(x - 2y) = -2x - y,

dy/dx = (-2x - y) / (x - 2y).

2: Evaluate the slope at the given point.

Substituting x = 2 and y = 3 into the derivative:

dy/dx = (-2(2) - 3) / (2 - 2(3)),

dy/dx = (-4 - 3) / (2 - 6),

dy/dx = (-7) / (-4),

dy/dx = 7/4.

Therefore, the slope of the tangent line at the point (2, 3) is 7/4.

3: Use the point-slope form to find the equation of the tangent line.

Using the point-slope form of a line, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the given point and m is the slope.

Substituting x₁ = 2, y₁ = 3, and m = 7/4:

y - 3 = (7/4)(x - 2).

Expanding and rearranging the equation

4y - 12 = 7x - 14,

4y = 7x - 2,

y = (7/4)x - 1/2.

Therefore, the equation of the tangent line to the curve x² + xy - y² = 1 at the point (2, 3) is y = (7/4)x - 1/2.

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The statements that must be true are:

B. FH ≅ GH

D. <DHF is a right angle

E.  H is the midpoint of FG

What is a perpendicular bisector?

A perpendicular bisector is a straight line which partitions a given line segment into two equal parts. As such, it is at a right angle to the bisected line segment.

From the given diagram, given that line DE is the perpendicular bisector of line segment FG, then the statements that must be true are:

B. FH ≅ GH

D. <DHF is a right angle

E.  H is the midpoint of FG

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Answer:(0,3)

Step-by-step explanation:

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 6)

=(0,3)

Answer:0,3

Step-by-step explanation:

The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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Answer:x=7

Step-by-step explanation:

Answer:

proportionality constant = $2 per bag

Step-by-step explanation:

Let the equation of the line representing relation between number of chips bags and total price of 'x' bags is,

y = mx + b

Here y-intercept b = 0 [Since this line passes through origin (0,0)]

Here 'm' = proportionality constant or price per bag

Equation will be,

y = mx

Now we select a point on the line that is (1, 2),

For a point (1, 2),

2 = 1 × m

m = 2

Therefore, constant of proportionality 'm' = $2 per bag

Answer:

$2 per bag

Step-by-step explanation:

plz mark brainliest

The maximum number of people allowed in this park is A/16 using the rectangular area formula.

let's first understand what is an area of a park.

The area is the collective term for the area occupied by the park's surface.

If the park is rectangular, the area is the product of the length and the width. If the park is square, the area is the square of the length.

in question, we have asked how many people are allowed to enter the park.

length of unused space = 12 feet

breadth of unused space = 12 feet

because in question given that for every unused 12 - by -12 foot area.

Area of unused space  = 12*12 =144\(feet^2\)

8 people are allowed in 144 square feet of Area.

1 square feet number of people allowed is 8/144

Let's total Area of the park is A.

The maximum number of people Allowed in the total Area of the park is

A square foot number of people allowed is 8*A/144 = A/16.

So the maximum number of people is A/16.

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circumference of circle: 2πr

area of circle: πr^2

Answer:

(15,0)

(0,−5)

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 2x=30 for x

The x and y intercepts of the equation of line 2x – 6y = 30 are;

x-intercept = (15, 0)

y - intercept = (0, -5)

In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.

We are given the equation of line as;

2x - 6y = 30

Thus, x-intercept, we will put y = 0;

2x - 6(0) = 30

2x = 30

divide both sides by 2 to get;

x = 30/2

x = 15

Thus, y-intercept, we will put x = 0;

2(0) - 6y = 30

0 - 6y = 30

-6y = 30

y = 30/-6

y = -5

In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)

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Answer: I think 47.5in^2

Step-by-step explanation:

In a contingency table, we describe the relationship between two variables measured at the ordinal or nominal level (option a).

A contingency table is a statistical table that displays the frequency distribution of two categorical variables and helps identify any associations or dependencies between them. The table organizes the data into rows and columns, with each cell representing the frequency count or proportion of observations falling into a particular combination of categories.

By examining the distribution of frequencies across the table, patterns and relationships between the variables can be discerned. This information can be useful in various fields, such as social sciences, market research, and epidemiology, for analyzing survey responses, understanding consumer preferences, or investigating the relationship between risk factors and diseases, among other applications.

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Answer:

put

Step-by-step explanation:

Answer:

y ≤ 2x-6

Step-by-step explanation:

First find the equation of the line

The y intercept is -6

The slope is 2

y = 2x-6

The line graphed is solid so we know that there is an equal sign

We are graphing below the line

y ≤ 2x-6

The factors of the given expression \(144-49x^{2}\) will be  \((7x+12)(7x-12)\)

It is given that

\(144-49x^{2}\)

Now by simplifying it

\((12)^{2} -(7x)^{2}\)

Now from the formula, we know

\(a^{2} -b^{2} = (a+b)(a-b)\)

So it will become

\((12)^{2} -(7x)^{2}= (12-7x)(12+7x)\)

Thus the factors of the given expression \(144-49x^{2}\) will be (7x+12)(7x-12)

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Answer:

29 (Unless I'm mistaken)

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

Answer:

2/3

Step-by-step explanation:

You rise up the y axis 2 times

and

you run/ go across the x axis 3 times

rise/run or y/x

Answer: amount of variation

Step-by-step explanation:

The mean is a measure of the center whereas the standard deviation measures the variation of data about the mean.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
The mean is a measure of the center in the data set, whereas the standard deviation measures the variation of data about the mean in the data set.

Thus, the mean is a measure of the center whereas the standard deviation measures the variation of data about the mean.

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Answer: B. 240

Step-by-step explanation: Hi there here is why your answer is this:

Area =  b × h

=  12 × 20

=  240 feet2

Hope this helps you!

A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

A polynomial function

Now,

Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.

A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.

Therefore, by the function the answer will be n - 1.

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From statement equation, the number of correct answers will result in a passing grade is 9.3

Given that each question on the quiz is worth 8 points.

Also given a score of 75 is a passing grade.

Let the number of correct answered questions be x

Thus the total score of the correct answers is 8x

The statement equation is -

⇒ 8x = 75

⇒ x = 75/8 = 9.3

∴  x ≈ 9

Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3

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$2.89 ÷ 12.4 = .233

answer is $.23 per oz

Answer:

Step-by-step explanation:

Let's first write the equation.

Divide to find the "per ounce".

Solve.

Hence, it would require $0.23 to buy 1 ounce of crackers.

Hoped this helped.

\(BrainiacUser1357\)

a. The bank can initially lend out $15.00.

b. The money in the economy changes by $20.00.

c. The money multiplier is 4.

d. Eventually, $80.00 will be created by the banking system from Jon's $20.00.

Let us analyze each section separately:

a. To calculate the amount of money the bank can initially lend out, we need to determine the bank's reserves.

Given that the bank keeps 25% of its money in reserves, we can find the reserves by multiplying the deposit amount by 0.25.

In this case, the deposit amount is $20.00, so the reserves would be $20.00 * 0.25 = $5.00. The remaining amount, $20.00 - $5.00 = $15.00, is the money that the bank can initially lend out.

b. When Jon deposits the $20.00 bill into the bank, the money in the economy remains unchanged because the physical currency is converted into a bank deposit. Therefore, there is no change in the total money supply in the economy.

c. The money multiplier determines the overall increase in the money supply as a result of fractional reserve banking. In this case, the reserve requirement is 25%, which means that the bank can lend out 75% of the deposited amount.

The formula to calculate the money multiplier is 1 / reserve requirement. Substituting the value, we get 1 / 0.25 = 4.

Therefore, the money multiplier is 4.

d. To calculate the amount of money created by the banking system, we multiply the initial deposit by the money multiplier. In this case, Jon's initial deposit is $20.00, and the money multiplier is 4.

So, $20.00 * 4 = $80.00 will be created by the banking system from Jon's $20.00 deposit.

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Answer:

Step-by-step explanation:

a). 'Per ml' cost of the small size = \(\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}\)

                                                       = \(\frac{4.50}{250}\)

                                                       = $0.018

'Per ml' cost of the medium size = \(\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}\)

                                                        = \(\frac{9.95}{500}\)

                                                        = $0.0199

     'Per ml' cost of the large size = \(\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}\)

                                                      = \(\frac{16.95}{1000}\)

                                                      = $0.01695

Therefore, expression to compare per ml cost of three containers will be,

$0.0199 > $0.018 > $0.01695  

b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.

Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner

                                        = Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container

Total cost of 1500 ml = $16.95 + $4.50n

                                    = 16.95 + 2(4.5) [For n = 2]

                                    = $25.95

c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners

Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers

                                        = 9.95(n)

                                        = 9.95(3)

                                        = $29.85

Answer:

A. 63 × 9 = ?

plz mark brainliest

Answer:

a. 63 times 9

Step-by-step explanation: