Given the vertex (2,0) and the point on the parabola (1, 3) find the quadratic equation

Open-ended questions allow for a wide range of responses and encourage the respondent to provide detailed and unrestricted answers. Closed-ended questions, on the other hand, provide a limited set of predetermined response options for the respondent to choose from.

Open-ended questions: Open-ended questions are designed to gather qualitative data and elicit more in-depth responses. They allow respondents to express their thoughts, opinions, and experiences in their own words. These questions do not limit the possible answers and provide the opportunity for the respondent to provide unique and individualized responses.

What do you think about the current situation of the economy, for instance?

Closed-ended questions: Closed-ended questions provide a fixed set of response options from which the respondent must choose. These questions are typically used to gather quantitative data and provide more structured and easily quantifiable answers. Closed-ended questions are useful when specific information or specific response options are required.

For instance, "Do you agree or disagree that the economy is in a good place right now?" (with response options: Agree/Disagree/Neutral)

In conclusion, open-ended questions allow for more diverse and subjective responses, providing richer qualitative data, while closed-ended questions provide limited response options and are more suitable for gathering quantitative data. The choice between open-ended and closed-ended questions depends on the research objectives, the type of data needed, and the level of flexibility desired in the responses.

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This is a 2-way conditional relative frequency table for gender with respect to location preferences of male and female students.

Given the following preferences of male and female students towards their most wanted vacation location in the form of a frequency table:Which location would you most like to visit?Aspen, Colorado New York, New York Row totals Male students 0.220.280.50 Female students 0.160.340.50Column totals 0.380.621The 2-way conditional relative frequency table for gender is given by:Which location would you most like to visit?Aspen, Colorado New York, New York Male students 0.580.45 Female students 0.420.55 Column totals 11 The 2-way conditional relative frequency table for gender is also given by:Which location would you most like to visit?Aspen, Colorado New York, New York Row totals Male students

22%28%50%

Female students 16%34%50%Column totals 38%62%100%Another 2-way conditional relative frequency table for gender can be calculated as follows:Which location would you most like to visit?Aspen, Colorado New York, New York Row totals Male students 4456 Female students 3268 Column totals 76124 Row totals 100100100 Male students 0.440.561Female students 0.320.68.This is a 2-way conditional relative frequency table for gender with respect to location preferences of male and female students.

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The factor of the expression \(5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }\) is\((p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)\)

To answer the question, we need to know what factorization is

Factorization is the process of breaking down an expressing into a simpler form containing its factors.

Since

\(5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }\)

Since \((p + 2)^{\frac{1}{3} }\) is common, we factor it out. So, we have

\((p + 2)^{\frac{2}{3} } (5p(p + 2)^{2} + 4)\)

Expanding the bracket, we have

\((p + 2)^{\frac{2}{3} } (5p(p^{2} + 2p + 4) + 4) = (p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)\)

So, the factor of the expression \(5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }\) is\((p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)\)

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Answer:

-4 1/9

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

10530

Step-by-step explanation:

4050 notebooks in 5 days

                                 1 day=810

13 days=10530

please mark as brainliest!!!

Answer:

140

Step-by-step explanation:

5 percent is 5% or 5 out of 100

5 / 100 = 7 / x

Cross multiply to get

5x = 700

Divide both sides by 5

x = 140

The expected value of x is e(√(x)) = e(√(2)) ≈ 1.6487.

The number of possible outcomes when tossing an unbiased coin four independent times is 2^4 = 16, and the probability of obtaining x heads is given by the binomial distribution:

P(x) = (4 choose x) * (1/2)^4 = (4!/(x!(4-x)!) * 1/16

Thus, the expected value of x is:

E(x) = Σ[xP(x)] from x=0 to x=4

= 0*(1/16) + 1*(4/16) + 2*(6/16) + 3*(4/16) + 4*(1/16)

= 2

So, e(√(x)) = e(√(2)) ≈ 1.6487.

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Answer:

True

Step-by-step explanation:

We know that distance = rate * time

21 miles = 7 miles per hours * 3 hours

21 miles = 21 miles

True

a) The worst-case running time of this algorithm is O(n^2).

b) The best-case running time of this algorithm is Ω(n).

a) In the worst case, the algorithm iterates through two nested loops. The outer loop iterates from i=0 to n-1, and the inner loop iterates from j=it+1 to n. This results in a time complexity of O(n^2), as the algorithm examines each pair of elements in the upper triangular part of the matrix.

To obtain this worst case, we consider a scenario where every element in the upper triangular part is different from its corresponding element in the lower triangular part. This forces the algorithm to iterate through all pairs of elements in the upper triangular part, resulting in a quadratic time complexity.

b) In the best case, the algorithm returns early without having to check all pairs of elements in the matrix. This occurs when every element in the upper triangular part is the same as its corresponding element in the lower triangular part. In this case, the algorithm only needs to iterate through a few pairs of elements before returning true.

For example, a symmetric matrix where all elements are the same or a matrix where the upper triangular part is a mirror image of the lower triangular part would result in the best case. This would allow the algorithm to terminate early after checking a small number of pairs of elements.

a) The worst-case running time of the algorithm is O(n^2), indicating a quadratic time complexity.

b) The best-case running time of the algorithm is Ω(n), indicating a linear lower bound.

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Therefore , the solution to the given problem of circle comes out to be  

572 yard^2.

Each point in the plane that is a certain distance from some other point forms a circle (center). Thus, it is an curve composed of spots that are spaced apart from one another in the plane. Additionally, at every angle, it is axis of rotation symmetric about the center. The closed, two-dimensional plane of a circle has every pair of points uniformly separated from the "center." With tracing a path through the circle, one can create a line of circular symmetry. Additionally, at every angle, it is radially symmetric about the center.

Here,

area=pi times

radius2 area=3.14 times 13.52

=>3.14 times diameter=2radius dameter/2

=>radius d=27 27/2=radius.

The answer, 182.25=572.265,

Area is 572 yards.

Therefore , the solution to the given problem of circle comes out to be  

572 yard^2.

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Answer:

(3, -2)

Step-by-step explanation:

I attached a picture of the work

hope this helps

Answer:

(3,-2)

Step-by-step explanation:

use m a t h w a y! its free and amazing

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

1/4 / 3/5

To divide fractions we flip the second one and then multiply them both and this method works for any number

1/4 x5/3

5/12

Hopes this helps please mark brainliest

The value of A has been illustrated, computed and proven based in the triangle given.

It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.

Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.

In this case, the following can be deduced:

A = 5x

B = 90°

C = x + 10°

Therefore, A + B + C = 180° (sum of angles in a triangle)

5x + 90 + x + 10 = 180°

6x = 180° - 90° - 10°

6x = 80°

x = 80/6

x = 13 1/3

Therefore, the value of A will be:

= 5x

= 5 × 13 1/3

= 66 2/3

Therefore, A is 66 2/3.

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Answer:

v = 9x9x0.5x5 = 202.5 ft^3

Step-by-step explanation:

\( \huge \sf \dag \: Answer : \)

\( \rm 3 {x}^{2} + 22x - 45\)

The values of a, b, and c are obtained, namely

with the values of a, b, and c above we determine the value of x, then :

\( \longmapsto \sf x_{1,2} = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \)

\( \longmapsto \sf x_{1,2} = \frac{ - 22 \pm \sqrt{ {22}^{2} - 4(3)( - 45)} }{2(3)} \)

\( \longmapsto \sf x_{1,2} = \frac{ - 22 \pm \sqrt{484 - 4( - 135)} }{6} \)

\( \longmapsto \sf x_{1,2} = \frac{ - 22 \pm \sqrt[]{484 + 540} }{6} \)

\( \longmapsto \sf x_{1,2} = \frac{ - 22 \pm \sqrt{1.024} }{6} \)

\( \longmapsto \sf x_{1,2} = \frac{ - 22 \pm32}{6} \)

with that we get the values of x, namely :

\( \longmapsto \rm x_{1} = \bf \frac{10}{6} = 1 \frac{2}{3} \)

\( \longmapsto \sf x_{2} = \bf - 9\)

Solution Set = {1⅔, -9}

-I Hope This Helps!

If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.

The given statement is false because Primary data collection is a process of collecting original data, directly from the source.

Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

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Answer:

coordinates of the orthocenter = (8, 6)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(5,3), B(8,6), C(0,14)

Thus;

Slope of AC; m = (14 - 3)/(0 - 5)

m = -11/5

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11

Thus, equation of BE is;

(y - 6) = (5/11)(x - 8)

Multiply through by 11 to get;

11y - 66 = 5x - 40

11y - 5x = 66 - 40

11y - 5x = 26

Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 3) = 1(x - 5)

y - 3 = x - 5

y = x - 5 + 3

y = x - 2

Putting x - 2 for y in equation of BE, we have;

11(x - 2) - 5x = 26

11x - 22 - 5x = 26

6x - 22 = 26

6x = 26 + 22

6x = 48

x = 48/6

x = 8

Put 8 for x in equation AD, then y = 8 - 2 = 6

coordinates of the orthocenter = (8, 6)

To find the average rate of speed of the wind and the plane, we can use the formula: distance = rate × time.  Therefore, the average rate of speed of the wind is P/3.5, and the average rate of speed of the plane is P.

we have the equation: distance = (P + W) × 1/3. On the return trip against the headwind, the effective speed of the plane is the difference between the plane's rate and the wind's rate: P - W. Given that the time taken is 3/5 hour, we have the equation: distance = (P - W) × 3/5. Since the distance traveled is the same in both cases, we can set up the following equation: (P + W) × 1/3 = (P - W) × 3/5.

On the left side, we have (P + W) × 1/3 = (P/3) + (W/3).
On the right side, we have (P - W) × 3/5 = (3P/5) - (3W/5).
Simplifying further, we have 5W + 9W = 9P - 5P.
Combining like terms, we get 14W = 4P.
Finally, we can divide both sides by 4 to solve for W: W = P/3.5.

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The answer to this question is A. It is not reasonable to conclude that heart or respiratory diseases were the cause of approximately 29% of U.S. deaths in 2011 because there is a possibility of overlap.

This means that some people who died from heart disease may have also had respiratory diseases, and vice versa.

Therefore,

It is impossible to accurately determine the exact percentage of deaths caused by each individual disease.
It is important to note that the Centers for Disease Control lists the causes of death in the United States as the underlying cause, which is defined as the disease or injury that initiated the train of events leading directly to death.

However,

Many people who die from one disease may also have other underlying or contributing conditions.

This makes it difficult to determine the exact cause of death in some cases.
There could be potential overlap between heart and respiratory diseases, it is not reasonable to conclude that heart or respiratory diseases were the cause of exactly 29% of U.S. deaths in 2011.

In summary,

While heart and respiratory diseases were listed as the cause of a significant percentage of deaths in the United States in 2011, it is not accurate to conclude that they were the sole cause of approximately 29% of deaths due to the possibility of overlap.

It is important to consider all contributing factors when analyzing causes of death data.

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Answer:

rise over run go up y and right x

Answer:

Below in bold.

Step-by-step explanation:

7x - 2 + 9x - 2 + 2(5x) = 2(5x + 5) + 2(4x)

7x + 9x + 10x - 4 = 10x + 10 + 8x

7x + 9x + 10x - 10x - 8x = 10 + 4

8x = 14

x = 14/8 = 7/4

So, ST = 5*7/4 + 5

           = 55/4

           = 13 3/4

Answer:

ST = 13.75

Step-by-step explanation:

The perimeter of a trapezium is calculated with the following formula:

P = a + b + c + d (a, b: bases, c, d: sides)

The perimeter of a rectangle is calculated with the following formula:

P= 2(a + b) (a: base, b: side)

we will write the following equation to find the length of ST

7x - 2 + 9x - 2 + 5x + 5x = 2(5x + 5 + 4x) first do the inside the parenthesis

2(9x + 5) = 18x + 10

Now,

7x - 2 + 9x - 2 + 5x + 5x = 18x + 10 add like terms on the left side of the equation

26x - 4 = 18x + 10 transfer like terms to the same side of the equation

26x - 18x = 10 + 4 add/subtract

8x = 14 divide both sides by 8

x = 1.75 replace x with this to calculate the lentgh of ST

5x + 5 = 5*(1.75) + 5 and ST = 13.75

Hey there!

Let's think of both of these functions as two different slope-intercept equations (y=mx+b). Don't let all of the fs and gs confuse you; those are just showing that they are two different functions!

Our function f has an equation of y=x, which is a diagonal line that passes through the origin and goes across each small grid on the graph diagonally.

Our function g has an equation of y=-1/3x+2, which means that it will intersect with the y-axis at two units above the origin and for every three whole steps it goes to the right, it will have gradually gone down one whole step as well.

Attached to my answer is what a graph of it would kind of look like. Sorry if the lines don't look too much like a line it's a bit difficult to draw with a mouse haha!

I hope that this helps! Have a wonderful day!

The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.

Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.

Given:

Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)

Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)

T-statistic: t = 2.73

Degrees οf freedοm: df = 5

Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.

Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.

Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.

Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).

Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:

p-value = 0.0257 / 2 = 0.01285

Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.

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The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

x=12

Step-by-step explanation:

since they are supplementary they will have a sum of 180 degrees

The equation should look like this- (5x+4)+(4x+80)=180

after solving the equation- you get x=12

in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in

Therefore, 12 is your answer

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Answer:

x = 84

Step-by-step explanation:

Sum of angles around a point = 360

Sum of given angles = 132+54+90 = 132+144 = 276

So, x must cover the angle remaining from 276 to form 360, which is

360-276 = 84degrees.

Hope this helps

Answer:

84 DEGREES

Step-by-step explanation:

SO WE KNOW THAT THER IS 132 +54 DEGREES AND THAT THE 3RD ONE IS A RIGHT ANGLE

SO

132+90+54=276

360-276=84

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                  ✌ -ZYLYNN JADE ARDENNE

Given:

To express v in terms of d, g, t, and c, take the following steps:

Step 1:

Subtract c from both sides

Step 2:

Divide through by t:

Step 3:

Add gt to both sides

Therefore, the expression of v in terms of d, g, and c is:

ANSWER: