Identify the change in the parent function that will produce the related function shown as a dashed line

...................................................

3,5  +  4,5

 +        +

9,5  -  3,5

please mark as brainliest!!!!!!

To minimize the amount of tin used, the height of the can must be 4 inches (option D).

The volume of a cylindrical tin can is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To minimize the amount of tin used, we need to minimize the surface area, which is given by the formula A = 2πrh + 2πr².

Given the volume is 16π cubic inches, we have:

16π = πr²h

Now, we can find the relationship between r and h:

h = 16/r²

Now, substitute this into the surface area formula:

A = 2πr(16/r²) + 2πr²
A = 32π/r + 2πr²

To minimize the surface area, we can take the derivative with respect to r and set it to 0:

dA/dr = -32π/r² + 4πr

0 = -32π/r² + 4πr

Solving for r:

r³ = 8
r = 2 (since r > 0)

Now, substituting r back into the relationship between r and h:

h = 16/(2²)
h = 16/4
h = 4

Therefore, the height of the can must be 4 inches (option D) to minimize the amount of tin used.

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This belief best illustrates the phenomenon known as political polarization, where individuals strongly align with their own political ideology and tend to view those with opposing beliefs as less correct and less trustworthy.

Political polarization refers to the deep divide and strong ideological alignment within a society, leading individuals to firmly adhere to their own political beliefs and view those with opposing views as less valid or trustworthy. Kate and Carmine's belief reflects this polarized mindset, where they both believe that their own political ideology is more correct and reliable compared to the opposing ideology.

Political polarization often leads to a lack of understanding and empathy between individuals with differing political beliefs, as each side tends to dismiss or devalue the perspectives of the other. This can hinder constructive dialogue and compromise, making it difficult to find common ground or reach consensus on important political issues. The phenomenon of political polarization has become increasingly prominent in many societies, shaping political discourse and contributing to social divisions.

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Answer:

so m=2 so y=2x+-3

Step-by-step explanation:

The equation of the line will be written as y = 2x - 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that a line passes through points (2, 1) and (6, 9). The equation of the line will be written by calculating the slope and y-intercept.

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 9 - 1 ) / ( 6 - 2 )

Slope = 8 / 4

Slope = 2

The y-intercept will be calculated as,

y = mx + c

1 = ( 2 x 2 ) +C

C = 1 - 4 = -3

The equation will be written as,

y = 2x - 3

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Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

Step 2 :-

Hope it helps!

Follow me! ;)

Answer: So, the speed that minimizes fuel flow is 400 km/h.

Step-by-step explanation:

To determine the speed that minimizes fuel flow, we need to find the vertex of the parabola represented by the equation f = 0.0048v^2 - 0.96v + 64. The vertex of a parabola in the form of y = a(x - h)^2 + k is (h, k).

To find h, we can use the formula h = -b / (2a) = -(-0.96) / (2 * 0.0048) = 400

To find k, we can substitute h and v = 400 into the original equation:

f = 0.0048(400)^2 - 0.96(400) + 64 = 64

So, the speed that minimizes fuel flow is 400 km/h.

Probability that the waiting time at the median line is at most 6 seconds is approximately 0.596 and more than 6 seconds is approximately 0.404 and between 4 and 8 seconds is approximately 0.336.

To calculate the probability, we need to integrate the probability density function (PDF) within the specified range.

(a) To find the probability that the waiting time is at most 6 seconds (P(X ≤ 6)), we need to integrate the PDF from 1 to 6:

P(X ≤ 6) = \(\int\limits^1_6 {0.55e^{(-0.55(x-1)} } \, dx\)

Evaluating the integral, we get P(X ≤ 6) ≈ 0.596.

To find the probability that the waiting time is more than 6 seconds (P(X > 6)), we can subtract the probability of X ≤ 6 from 1:

P(X > 6) = 1 - P(X ≤ 6) ≈ 1 - 0.596 ≈ 0.404.

(b) To calculate the probability that the waiting time is between 4 and 8 seconds, we need to integrate the PDF from 4 to 8:

P(4 ≤ X ≤ 8) = \(\int\limits^4_8 {0.55e^{(-0.55(x-1)} } \, dx\)

Evaluating the integral, we find P(4 ≤ X ≤ 8) ≈ 0.336.

Therefore, the probability that the waiting time at the median line is at most 6 seconds is approximately 0.596, the probability of it being more than 6 seconds is approximately 0.404, and the probability of the waiting time being between 4 and 8 seconds is approximately 0.336.

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The options (A), (D), and (E) are the linear transformations

A transformation is a mathematical operation that takes an input and maps it to an output. A linear transformation preserves the properties of vector addition and scalar multiplication.

In other words, if T is a linear transformation and v and w are vectors, then T(v + w) = T(v) + T(w) and T(cv) = cT(v).

For the transformations given in the question:

A. The transformation T defined by T(r1,r2) = (4r1 - 2r2, 3r2) is a linear transformation.

B. The transformation T defined by T(r1, r2) = (2r1 + 3r2, ar1 + 4, 5r2) is not a linear transformation, as the addition property is not preserved.

C. The transformation T defined by T(r1, r2) = (r1, 0, 3) is not a linear transformation, as the scalar multiplication property is not preserved.

D. The transformation T defined by T(r1, r2, r3) = (1, r2, 3) is a linear transformation.

E. The transformation T defined by T(r1, r2, r3) = (r1, r2, r3) is a linear transformation.

Here we have to note that r1, r2, r3 are scalar values.

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Answer:

A. X = 3 and x = 6

Step-by-step explanation:

Since graph is intersecting x-axis at 3 and 6, therefore 3 and 6 are zeros of this function.

The zeros of the function are x = 3 and x = 6

The zeros of the function are the x values where the graph crosses the x-axis

From the figure, the graph crosses the x-axis at:

x = 3 and x = 6

Hence, the zeros of the function are x = 3 and x = 6

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Answer:

0.6 ÷ 0.3 - Option 2.

0.2 × 0.9 - Option 3.

Answer:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

 Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

             ❀ \(\boxed{x = -8}\) ❀          

\(5x+6=4x-2\)

\(5x + 6 - 4x = 4x - 2 - 4x\)

\(x + 6 = -2\)

\(x + 6 - 6 = -2 - 6\)

\(x = -8\)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀

Answer:

x = -8

Step-by-step explanation:

To answer this equation solve for x. When doing so make sure to get x one side

First subtract 4x from each side. This means the equation is now

x + 6 = -2

Next subtract 6 on both side and you should find x

x = -8

Answer:

150 dived by 6=$25/hr

Step-by-step explanation:

i cant graph on here so srry

Answer:

this is the answer

Step-by-step explanation:

thanyou

Answer:

The midpoint is (4,3)

Step-by-step explanation:

I attached the midpoint formula.

( -1 + 9 )       ( 4 + 2 )

     2                2

8 / 2 = 4         6 / 2 = 3

(4,3)

Answer:

the answer is 864 in3

Step-by-step explanation:

Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches.

So V=LxWxH....

12 x 18 x 24= 5,184

Then...

Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches.

So= V=LxWxH

12 x 30 x 12=4,320

And they need to see who has more so 5,184-4,320=864in3

I hope this helps also Into Math said it was correct :)

Answer:

1/6

Step-by-step explanation:

the probability of rolling a 2 is 1/6

The values of a, b and c in the mixed fractions are 1, 5 and 9 respectively.

The fractions are mixed fractions . let's convert it to improper fraction be we simplify its.

A mixed fraction is a whole number and a proper fraction combined. Improper fractions are defined as fractions for which the numerator is greater than the denominator.

Therefore, let's solve the fractions as follows:

\(3\frac{1}{2}\) ÷ \(2\frac{1}{4}\)

\(3\frac{1}{2} = \frac{7}{2}\)

\(2\frac{1}{4} = \frac{9}{4}\)

Therefore,

\(\frac{7}{2} (\frac{4}{9} ) = \frac{28}{18} = 1\frac{10}{18} = 1\frac{5}{9}\)

Hence,

a = 1

b = 5

c = 9

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From the system of linear equations was verified that the value for z is equal to 87.45.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

These numbers are represented by a ratio between two integers numbers (\(\frac{a}{b}\)), where b\(\neq\)0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          \(y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)\)

As the question gives the values for y, you can find x.

                                        \(y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2\)

Applying x=37.2 in equation (3), you can find z.

                              \(z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45\)

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Answer:

\(y \leqslant - \frac{2}{3} x + 6\)

The probability that the student receives a grade above C is 0.75

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the student receives a grade above C be P ( C )

And , the equation will be

Let the probability you will get an A in this class is P ( A ) = 0.25

Let the probability you will get a B in this class is P ( B ) = 0.50

Now , the events P ( A ) and P ( B ) are mutually exclusive events

So , P ( A ∩ B ) = 0

And , P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )

On simplifying the equation , we get

P ( A ∪ B ) = P ( C )

And , probability that the student receives a grade above C = P ( A ) + P ( B )

The probability that the student receives a grade above C = 0.25 + 0.50

The probability that the student receives a grade above C = 0.75

Hence , the probability is 0.75

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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I can help you with that problem i just did that on my own.

Answer:

it would be -1.3, -0.6, 0.7, 1.4

The solution of the system of the equation is as follows:

(12, 16)

The system of equation can be solved as follows:

The system of equation can be solved using elimination method. Hence,

2x + y = 40

x - 2y = -20

multiply equation(ii) by 2

2x + y = 40

2x - 4y = -40

subtract the equation

5y = 80

divide both sides by 5

y = 80 / 5

y = 16

Therefore,

x = -20 + 2(16)

x = - 20 + 32

x = 12

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The point estimate of the population mean is 2504.8.

The sample mean is the scale parameter of the population mean, hence we must design a table to determine it:

i                x               x²

1             2698      7279204

2            3028       9168784

3            2474       6120676

4            2395       5736025

5            2332       5438224

6            2475       6125625

7            1927        3713329

8            3006      9036036

9            2334       5447556

10           2379       5659641

∑ i = 1 to n (x) = 25048

∑ i = 1 to n (x)² = 63725100

Sample size: n = 10

Mean:

x = (∑ i = 1 to n (x)) ÷ n

x = (∑ i = 1 to 10 (x)) ÷ 10

x = 25048 ÷ 10

x = 2504.8

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The question is -

The manufacturer of a new line of inkjet printers would like to include as part of its advertising the number of pages a user can expect from a print cartridge. A sample of 10 cartridges revealed the following number of pages printed.

2698, 3028, 2474, 2395, 2332, 2475, 1927, 3006, 2334, 2379

What is the point estimate of the population mean?

Remember, any two perpendicular lines are negative reciprocals of each other. So if you're given the slope of -6, you can find the perpendicular slope by this formula:

m%5Bp%5D=-1%2Fm where m%5Bp%5D is the perpendicular slope

m%5Bp%5D=-1%2F%28-6%2F1%29 So plug in the given slope to find the perpendicular slope

m%5Bp%5D=%28-1%2F1%29%281%2F-6%29 When you divide fractions, you multiply the first fraction (which is really 1%2F1) by the reciprocal of the second

m%5Bp%5D=1%2F6 Multiply the fractions.

So the perpendicular slope is 1%2F6

So now we know the slope of the unknown line is 1%2F6 (its the negative reciprocal of -6 from the line y=-6%2Ax%2B8). Also since the unknown line goes through (3,6), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope and (x%5B1%5D,y%5B1%5D) is the given point

y-6=%281%2F6%29%2A%28x-3%29 Plug in m=1%2F6, x%5B1%5D=3, and y%5B1%5D=6

y-6=%281%2F6%29%2Ax-%281%2F6%29%283%29 Distribute 1%2F6

y-6=%281%2F6%29%2Ax-3%2F6 Multiply

y=%281%2F6%29%2Ax-3%2F6%2B6Add 6 to both sides to isolate y

y=%281%2F6%29%2Ax-3%2F6%2B36%2F6 Make into equivalent fractions with equal denominators

y=%281%2F6%29%2Ax%2B33%2F6 Combine the fractions

y=%281%2F6%29%2Ax%2B11%2F2 Reduce any fractions

So the equation of the line that is perpendicular to y=-6%2Ax%2B8 and goes through (3,6) is y=%281%2F6%29%2Ax%2B11%2F2

So here are the graphs of the equations y=-6%2Ax%2B8 and y=%281%2F6%29%2Ax%2B11%2F2

graph of the given equation y=-6%2Ax%2B8 (red) and graph of the line y=%281%2F6%29%2Ax%2B11%2F2(green) that is perpendicular to the given graph and goes through (3,6)

answer:(3,6)