Consider the quadratic relation y=2(x-2)^2-18


write the relation in a standard form



what do u know about this relation




please quick

The Hutchins Commission, a learned group in the 1940s, recommended that journalists and media professionals prioritize responsible decision-making that serves society.

The Hutchins Commission, formally known as the Commission on Freedom of the Press, was a group of scholars and professionals established in the 1940s to examine and make recommendations regarding the role of the media in democratic societies.

Chaired by Robert M. Hutchins, the commission aimed to address concerns about the media's influence and responsibility.

The commission's key recommendation was that journalists and other media personnel should prioritize their decisions based on the responsible service to society.

They advocated for a media system that serves the public interest, encourages diversity of viewpoints, and promotes the democratic ideals of informed citizenry.

The commission recognized the significant impact of the media on shaping public opinion and believed that media professionals had a responsibility to use their power ethically and responsibly.

The Hutchins Commission's recommendations emphasized the importance of maintaining an informed and engaged citizenry by providing accurate, unbiased, and diverse information.

They called for media professionals to adhere to high ethical standards, ensure the fair representation of diverse perspectives, and avoid practices that could manipulate or exploit public opinion.

The commission's work contributed to ongoing discussions about media responsibility, freedom of the press, and the role of journalism in democratic societies.

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Answer: $8,425

Step-by-step explanation:

•Gross Profit = Income - Cost of Goods

- Ben's Income was $9,000 and his cost of goods were $575.

-Therefore, $9,000 - $575 = $8,425

Answer: the answer is A

Step-by-step explanation:

The equation of an ellipse having a major axis of length 18 and foci located at (4,7) and (4,11) is given by: Option A: (x-4)^2/77 + (x-9)^2/81 = 1

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:

\(\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1\)

Coordinates of its foci would be: \((h \pm c, k)\) where \(c^2 = a^2 - b^2\)

If its major axis is parallel to y-axis, then,

coordinates of its foci would be: \((h , k\pm c)\) where \(c^2 = a^2 - b^2\) and its equation would be:

\(\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1\)

For this case, we're specified that:

Assume that:

Then, we get:

2a = 18, or a = 9 units

Also, as we have:

Coordinates of its foci as: (4,7), and (4,11)

Foci lie on major axis, and the x-coordinate of both foci is constant, so major axis is parallel to y-axis.

For such ellipse, its foci is \((h , k\pm c)\)

The value of c is always non-negative as a ≥ b always as 2a is length of major axis and 2b is length of minor axis.

Thus, we get:
\(k - c = 7\\k + c = 11\) (c isn't 0 as it has some effects as foci' y coordinates are different. Thus, c > 0. Andt therefore a fixed number - positive number < that fixed number + that positive number, therefore we alloted 7 and 11 to those foci).

From those 2 equations, we get:
\(k = c + 7\\k+ c =c+7+c = 11\\c = 2\\k = 2+7 = 9\\\)

Also, from foci coordinates, we get h = 4

Thus, center of the ellipse considered is (h,k) = (4,9)

Also, as we've got \(c^2 = a^2 - b^2\)  and c = 2, and a = 9, therefore, we get:
\(2^2 =9^2 - b^2\\b^2 = 77\)

Thus, the equation of the ellipse considered is:

\(\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1\\\\\dfrac{(x-4)^2}{77} + \dfrac{(y-9)^2}{81} =1\)

Thus, the equation of an ellipse having a major axis of length 18 and foci located at (4,7) and (4,11) is given by: Option A: (x-4)^2/77 + (x-9)^2/81 = 1

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Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Answer: the direction

Answer:

B). the direction

Step-by-step explanation:

Edgen 2021

Answer:

kinda hard

Step-by-step explanation:

h² = c² + c²

(\(\sqrt{11}\))² = (\(\sqrt{11}\)/2)² + x²

x² = (\(\sqrt{11}\))² - (\(\sqrt{11}\)/2)²

answer: x = \(\sqrt{11}\)  - \(\sqrt{11}\)/2

The result for simplifying;

\( {( \frac{2a²b×b⁴}{2a²b×9 {a}^{2} } )}^{ \frac{1}{2} } \)

is;

\( \frac{ {b}^{2} }{3b} \)

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

The greatest common factor the numerator and denominator is 2a²b and so we divide through with it to give;

\( {( \frac{b⁴}{9 {a}^{2} } )}^{ \frac{1}{2} } \)

evaluate the square root, we have;

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } = {( \frac{b²}{3a})} \)

Therefore,

\( {( \frac{b²}{3a})} \)

is the result after simplifying the algebraic expression

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } \)

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Answer:

a.8×106+5×104+6×103+1×102

=848+520+618+102

=1368+720

=2088

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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Answer:

1 simple

Step-by-step explanation:

The price for 1 scoop of ice cream and the price for 1 topping is $1.20 and $0.35 respectively.  

Suppose the price for 1 scoop of ice cream = x

The price for 1 topping = y

An equation of the form ax+by+c=0 is called a linear equation where a, b and c are real numbers.

According to the question

3x+y=3.95.......(1)

2x+2y=3.10.......(2)

Multiply equation (1) by 2 on both sides

6x+2y=7.90.....(3)

Subtracting the equation (2) from equation(3)

4x=4.80

x=1.20

So, y = 0.35

So, the price for 1 scoop of ice cream =$1.20

The price for 1 topping = $0.35

Hence, the price for 1 scoop of ice cream and price for 1 topping is $1.20 and $0.35 respectively.  

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Answer:

B

Step-by-step explanation:

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

1600\(\pi\)

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

8 boxes of crackers

They cost 9$

8•9 is 72

4 bags of cookies

They cost

4•6 is 24

72+24 is 96

Answer:

((-8 + 5)/2, ((-2 + 1)/2) = (-3/2, -1/2) = (-1.5, -.5)

The equation of the line parallel to the line with the equation y= -3x+5 is y= -3x+b, where b is the y-intercept.

Homework 7 in Unit 3 parallel and perpendicular lines is a problem set that assesses a student’s proficiency in identifying parallel and perpendicular lines in a coordinate plane.

Parallel and perpendicular lines are of significant importance in geometry.

Lines in a plane that never intersect are parallel lines.

On the other hand, lines that intersect at an angle of 90 degrees or perpendicular are perpendicular lines.

In question 1 of Homework 7 in Unit 3 parallel and perpendicular lines, we are required to find the slope of the line containing the given point (5,3) and the slope of the line containing the given point (2,-5).

The slope-intercept formula, which is y=mx+b, is the best method to use when finding the slope of a line.

M represents the slope of the line, b is the y-intercept, and x and y are the coordinates.

In question 2, we have to state whether the lines with given equations are parallel, perpendicular, or neither.

We use the slope formula to find the slope of each line to determine if the lines are parallel or perpendicular.

If the slopes are equal, the lines are parallel, while if the product of the slopes is -1,

then the lines are perpendicular. Lastly, question 3 requires us to determine the equation of a line that is parallel to the line with the equation y= -3x+5.

When two lines are parallel, they have the same slope.

In conclusion, the Unit 3 parallel and perpendicular lines Homework 7 involves identifying parallel and perpendicular lines in a coordinate plane, using the slope-intercept formula to find the slope of a line, and determining the equation of a line that is parallel to another line.

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

x = 0

Step-by-step explanation:

3(7x − 12) + 26 = 3x − 10

Distribute

21x - 36 +26 = 3x-10

21x -10 = 3x-10

Add 10 to each side

21x = 3x

Subtract 3x from each side

21x-3x = 0

18x =0

x =0

Answer:

33°

Step-by-step explanation:

have a nice day!! :)

We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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The Laplace transform of the given function \(2t^2e^{-t}-t+cos(4t)\) can be determined using Table 7.17.1 and the properties of the Laplace transform.

To find the Laplace transform of the given function, we can break it down into its individual components and apply the properties of the Laplace transform.

Using Table 7.17.1, we can find the Laplace transforms of the functions \(2t^2e^{-t}, -t,\) and cos(4t).

From the table, we have:

The Laplace transform of \(t^n\) is\(n!/s^{n+1}\) where n is a non-negative integer.

The Laplace transform of\(e^{-at}\) is 1/(s+a), where a is a constant.

The Laplace transform of cos(at) is \(s/(s^2+a^2)\).

Applying these transformations to the given function, we get:

The Laplace transform of\(2t^2e^{-t}\) is \(2*(2!)/(s+1)^3\), using the transformation for \(t^n\) and \(e^{-at}\).

The Laplace transform of -t is -1/s, using the transformation for \(t^n\).

The Laplace transform of cos(4t) is \(s/(s^2+4^2)\), using the transformation for cos(at).

Combining these results, the Laplace transform of the given function is:

\(2*(2!)/(s+1)^3 - 1/s + s/(s^2+4^2).\)

Please note that this explanation assumes familiarity with the properties of the Laplace transform and the specific table mentioned.

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The bank discount ask yield on a Treasury bill with a face value of $10,000 and 87 days to maturity is 3.4%.

Treasury bills are short-term debt instruments issued by the government to raise funds. They are sold at a discount to their face value and mature at par. The bank discount yield is the annualized rate of return based on the discount price and face value. To calculate the yield, we use the formula:

Bank Discount Yield = (Discount / Face Value) * (360 / Days to Maturity)

In this case, the discount is the difference between the face value and the price at which the T-bill is selling. Let's assume the price is P. The discount is then calculated as: Discount = Face Value - P.

Substituting the given values, we have: Discount = $10,000 - P.

The bank discount yield is 3.4%, which means:

0.034 = (Discount / $10,000) * (360 / 87)

Solving for Discount, we find Discount ≈ $139.08.

Substituting this value back into the Discount formula, we can find the price P ≈ $9,860.92.

Therefore, the T-bill is selling at a price of approximately $9,860.92, and the bank discount ask yield is 3.4%.

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Answer:

The initial height is 5 feet.

The initial velocity of the object is –72 feet/second.

The object will hit the ground after approximately 4.57 seconds.

After 3 seconds, the object is 173 feet high.

So t = 0, h(t) = 0

Step-by-step explanation:

Answer:

no entendi ni vergas

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

i converted the fraction 14/20 to decimal form lol

Answer:

Step-by-step explanation:

8y²+6y+1

=8y²+4y+2y+1

=4y(2y+1)+1(2y+1)

=(2y+1)(8y+1)