which equations represents this line in point slope form

The equation of the axis of symmetry is x = 5/2

From the question, we have the following parameters that can be used in our computation:

y = x^2 - 5x + 1

The above equation si a quadratic equation

Differentiate the equation

SO, we have

y' = 2x - 5

Set the differentuated equation to 0

This gives

2x = 5

Evaluate

x =5/2

Hence, the equation is x =5/2

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Answer:

0.01

Step-by-step explanation:

i hope this help only that u need to do next time is to divide 966 with a number that is close to the sum

we know that

The area of a circle is equal to

we have

pi=3.14

r=8/2=4 yds ------> because the radius is half the diameter

substitute

A=3.14(4)^2

A=50.24 yd^2

therefore

The legal context and definitions are (a) Negligence - Establishes the link between the defendant's actions and the plaintiff's harm. (b) Negligence defenses - Plaintiff voluntarily accepts known risks, relieving the defendant of liability. (c) Invasion of privacy - Unjustified intrusion into private affairs that would offend a reasonable person. (d) Negligence - Accident itself suggests defendant's negligence without direct evidence (e) Defamation - False spoken statements harming someone's reputation (f) Monetary awards to punish and deter egregious behavior. (g) Defamation defenses - Immunity for certain statements made in specific contexts.

(a) Cause-in-fact

Legal context: Negligence.

Definition: Cause-in-fact refers to the actual cause or link between the defendant's conduct and the plaintiff's harm, establishing that the harm would not have occurred without the defendant's actions.

(b) Assumption of risk

Legal context: Negligence defenses.

Definition: Assumption of risk is a defense in negligence cases where the plaintiff voluntarily and knowingly accepts the risks associated with a certain activity, relieving the defendant of liability for any resulting harm.

(c) Seclusion

Legal context: Invasion of privacy.

Definition: Seclusion refers to the intentional and unjustified intrusion into an individual's private affairs or seclusion, which would highly offend a reasonable person.

(d) Res ipsa loquitur

Legal context: Negligence.

Definition: Res ipsa loquitur is a doctrine where the occurrence of an accident or injury itself suggests that the defendant was negligent, allowing the plaintiff to establish a prima facie case without direct evidence of negligence.

(e) Slander

Legal context: Defamation.

Definition: Slander is a form of defamation that involves making false spoken statements about someone that harm their reputation.

(f) Punitive damages

Legal context: Various tort subject areas.

Definition: Punitive damages are monetary awards beyond compensatory damages, awarded in certain cases to punish the defendant for particularly egregious behavior and to deter others from similar conduct.

(g) Absolute privilege

Legal context: Defamation defenses.

Definition: Absolute privilege is a defense in defamation cases that grants immunity from liability for statements made in certain contexts, such as during legislative or judicial proceedings, regardless of their truth or intent.

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--The given question is incomplete, the complete question is given below " For each term (1) identify the legal context in which it arises; and (2) define the term.

For the legal context part of your answer for each term, indicate which tort subject area the term relates to (e.g., "fraud," “false imprisonment,” “defamation,” “defamation defenses,” “invasion of privacy,” “interference with contract,” “interference with prospective economic advantage,” “negligence,” “negligence defenses,” “strict liability,” or, if and where appropriate, “intentional torts” generally).

In addition, the definition portions of your answers need not be more than one sentence for each term. Your answer for each term is worth a maximum of 2 points.

(a) cause-in-fact

(b) assumption of risk

(c) seclusion

(d) res ipsa loquitur

(e) slander

(f) punitive damages

(g) absolute privilege"--

The rate that Jacob would require to be able to end up with $17, 000 from $15, 000 after 6 years is  0.52%

To find the rate, you can use a spreadsheet. The relevant function would be the rate function.

Nper = Number of periods = 6 years x 4 quarters per year = 24 quarters

Pv = $15, 000

Fv = $17, 000

The interest rate required by Jacob would be given as:

= 0.005228753

= 0.52%

In conclusion, Jacob would require a periodic interest rate of 0.52%.

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Answer:

The slope is 10 and the y intercept 0

Step-by-step explanation:

m is 10 and c is 0. The reason why is because m is the slope and c is the y intercept.

Answer:

m = 10

c = 0

Step-by-step explanation:

Assuming that your form of slope-intercept form is y = mx + c (I have mine y = mx + b), m would be the slope, which is equal to 10 and since there is no y-intercept (It crosses at 0, 0), c/b would equal to 0.

number 7 is 21 people

Step-by-step explanation:

for number 7 I got 21 because if 6 pounds feeds 14 people then if you divide both by 2 then you will get 3 pounds feed 7 people and to find 9 pounds its 7×3 which is 21.

Answer:

4

Step-by-step explanation:

We want to find the highest common factor

Breaking them into factors

28 = 4*7 = 2*2*7

40 = 4*10 = 2*2*2*5

12 = 4*3 = 2*2*3

24 = 3*8 = 3*2*2*2

The factor that appears in all is 2*2

2*2 =4

Answer:

4

Step-by-step explanation:

28÷4=7

40÷4=10

12÷4=3

24÷4=6

7, 10, 3 and 6 cannot be divided by any same number.

The equation of plane passing through the point (4, -3, 6) and is  perpendicular to the given vector - i + 3j + 5k is found as  x - 3y + 5z - 40 = 0.

To find an equation of the plane through the point (4, -3, 6) and

perpendicular to the vector  - i + 3j + 5k,

we need to use the point-normal form of the equation of the plane.

The point-normal form of the equation of the plane is given by:

(x - x₁) + (y - y₁) + (z - z₁) = 0

where (x₁, y₁, z₁) is the given point on the plane and the normal to the plane is given by (A, B, C).

In this case, the given point is (4, -3, 6) and the normal to the plane is - i + 3j + 5k.

So we have:

(x - 4) - 3(y + 3) + 5(z - 6) = 0

Simplifying this equation:

x - 3y + 5z - 40 = 0

Therefore, the equation of the plane through the point (4, -3, 6) and perpendicular to the vector - i + 3j + 5k is x - 3y + 5z - 40 = 0.

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Answer:  4   1/2

Step-by-step explanation:

Adding all the fractions you get 4 1/2

Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.

Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:

ln = lm + mn.

The measures are given as follows:

Hence, using the equation we can solve for x, as follows:

ln = lm + mn.

4x + 9 = 2x + 7 + 3x

5x + 7 = 4x + 9

x = 2.

Hence the numerical length of line ln is given by:

ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.

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Answer:

$93.15 will be the cost of the sport coat.

Step-by-step explanation:

Given that

Price of a sport coat = $230

Sale on all sport coats = 55%

So, discount sport coat as per sale:

\(\$230 \times 55\%\\\Rightarrow $230 \times \dfrac{55}{100}\\\Rightarrow \$126.5\)

So, discounted price offered to the customer = $230 - $126.5 = $103.5

It is given that the customer has an coupon of additional discount of 10% off:

So, he will have an additional discount of :

$103.5 \(\times\) 10

\(\Rightarrow 103.5 \times \dfrac{10}{100}\\\Rightarrow \$10.35\)

So, final cost for the customer of the product with price $230:

$103.5 - $10.35 = $93.15

The probability that the balls are drawn from the first urn is 0.99.

The given problem provides information on two urns. In the first urn, 70% of the balls are red, and 30% are blue, while in the second urn, 70% of the balls are blue, and 30% are red. From one of the urns, 12 balls are randomly drawn, out of which 8 are red, and 4 are blue.

We need to determine the probability that the balls are drawn from the first urn.

Let A be the event that the balls are drawn from the first urn. The probability of selecting urn 1 is given by P(A). Out of the 12 balls drawn, 8 are red and 4 are blue. Hence, we can write P(RRBBRRRRRRRR) = P(A) x P(8 red balls and 4 blue balls are drawn | A).

The probability of selecting either urn 1 or urn 2 is 0.5, which is represented as P(A) = P(B). Therefore, P(RRBBRRRRRRRR) = 0.5 x (0.7)^8 x (0.3)^4 = 0.00424.

Let B be the event that the balls are drawn from the second urn. The probability of selecting urn 2 is given by P(B). Out of the 12 balls drawn, 4 are red and 8 are blue. Hence, we can write P(BBRRBBBBBBBB) = P(B) x P(4 red balls and 8 blue balls are drawn | B).

Therefore, P(BBRRBBBBBBBB) = 0.5 x (0.3)^4 x (0.7)^8 = 0.00043.

The probability that the balls are drawn from the first urn is given by P(A | RRBBRRRRRRRR) = P(A) x P(RRBBRRRRRRRR) / [P(A) x P(RRBBRRRRRRRR) + P(B) x P(BBRRBBBBBBBB)].

Substituting the values, we get P(A | RRBBRRRRRRRR) = 0.5 x 0.00424 / [0.5 x 0.00424 + 0.5 x 0.00043] = 0.989 which is approximately 0.99.

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Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

The probability that all four members of the search committee will be women is 1.42%.

Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:

Therefore, the probability that all four members of the search committee will be women is 1.42%.

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Answer: 63

Step-by-step explanation:

The acute angles of a right triangle are complementary, so \(w+27=90 \longrightarrow w=63\)

Answer:

-2/5 this is the answer to 6^2x+2•6^3x=1

Answer:

2

Step-by-step explanation:

because if 10 is the whole line of the base at the bottom of the trapezoid

and 8 is the whole top 10-8=2

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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Answer:

Please type it out for me, sorry!

Step-by-step explanation:

Answer:

33.6cm

Step-by-step explanation:

I'm assuming the length is 3x as there are quite a few typos

perimeter = 2 x length + 2 x width

84 = 2 x 3x + 2 x 12x

84 = 6x + 24x

84 = 30x

84/30 = 2.8

x = 2.8

12x = 2.8 x 12 = 33.6 cm

Answer:

7.77

Step-by-step explanation:

just take off the 7 in the 100ths place :)

Answer:

7.800

Step-by-step explanation:

Because 7 is close to 8 so it would turn into 800

hope this helps ;)

Answer:

Ok so what it is asking on part A is if your driving 50% on the highway which is 30 miles a gallon and 50% on around the town which is 25 miles a gallon then how many miles a gallon are you getting and the answer for that you need to first find what kind of problem it is and in this case you are working with percents so what you first want to do is  multiply 50% to both 30 and 25 which will be 15 and 12.5 then add those together to get you answer now do the same for part B but instead of 50% it will be 60% and 40%.

Step-by-step explanation:

glad I could help

Using the point-slope form of a linear equation, the equation of the line passing through point Q(x,y) with slope m -1/2 is: y = -1/2x + (Qy + 1/2Qx).

what is perpendicular lines?

In geometry, two lines are said to be perpendicular if they intersect each other at a right angle (90 degrees). This means that the angles formed at the point of intersection are equal to 90 degrees.

A. To write an equation of the line that is parallel to line f (y=2) and passes through point Q, we know that parallel lines have the same slope. Therefore, the slope of the new line will also be 2. Using the point-slope form of a linear equation, the equation of the line passing through point Q(x,y) with slope m=2 is:

y - y1 = m(x - x1)

y - Qy = 2(x - Qx)

y - Qy = 2x - 2Qx

y = 2x + (Qy - 2Qx)

B. To write an equation of the line that is parallel to line g (y=2x-1) and passes through point P, we know that parallel lines have the same slope. Therefore, the slope of the new line will also be 2. Using the point-slope form of a linear equation, the equation of the line passing through point P(x,y) with slope m=2 is:

y - y1 = m(x - x1)

y - Py = 2(x - Px)

y - Py = 2x - 2Px

y = 2x + (Py - 2Px)

C. To write an equation of the line that is perpendicular to line f (y=2) and passes through point Q, we know that the slope of the new line will be negative reciprocal of slope of f, which is -1/2. Using the point-slope form of a linear equation, the equation of the line passing through point Q(x,y) with slope m=-1/2 is:

y - y1 = m(x - x1)

y - Qy = -1/2(x - Qx)

y - Qy = -1/2x + 1/2Qx

y = -1/2x + (Qy + 1/2Qx)

D. To write an equation of the line that is perpendicular to line g (y=2x-1) and passes through point Q, we know that the slope of the new line will be negative reciprocal of slope of g, which is -1/2.

Therefore,Using the point-slope form of a linear equation, the equation of the line passing through point Q(x,y) with slope m=-1/2 is:

y - y1 = m(x - x1)

y - Qy = -1/2(x - Qx)

y - Qy = -1/2x + 1/2Qx

y = -1/2x + (Qy + 1/2Qx)

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The values of p and q are found to be 0 using the substitution method. Therefore, p = 0 and q = 0.

Given: 6p = q  and 15p² = q²

To find: The values of p and q.

We know that

q = 6p

substitute it in the 2nd equation to get:

15p² = (6p)²

15p² = 36p²

15p² - 36p² = 0

   -21p² = 0

  p² = 0/21

p² = 0

p = 0/√21

p = 0

Since we have the value of p, we can find the value of q by using any of the given equations; let's use the first one.

6p = q6(0)

q = 0

Therefore, the value of p is 0, and the value of q is also 0. The given two equations are

6p = q and 15p² = q², and the task is to find the value of p and q. The values of p and q are found to be 0 after solving the equations using substitution and simplification.

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Answer:

1/10 th

Step-by-step explanation:

Refer the attached photo.

Answer:

hello 10%

good luck

Answer:

36%, I'm fairly certian

Step-by-step explanation:

A. 90%

B. 60%

C. 30%

D. 36%

D. makes the most sense to me

The probability of going to the amusement park will be 60%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The probability will be calculated as:-

\(P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%\)

Therefore probability of going to the amusement park will be 60%.

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The ages of the Stars are the most dispersed from the team’s mean

Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data.

Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion.

In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true

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