Determine the value of k so the following pair of lines are parallel and distinct. r1 = [7,-1,5] + s[-3,k,k] r2 = [7,-2,5] + t[6,-4,-4]

Answers

Answer 1

The value of k that makes the pair of lines parallel and distinct is k = 2.

In order for the pair of lines to be parallel, their direction vectors must be parallel. The direction vector of r1 is [-3, k, k] and the direction vector of r2 is [6, -4, -4].

For two vectors to be parallel, they must be scalar multiples of each other. So, we need to find a scalar multiple of [-3, k, k] that equals [6, -4, -4].

Let's set the x, y, and z components equal to each other and solve for k:

-3s = 6
ks = -4
ks = -4

From the first equation, we get s = -2. Substituting this into the second and third equations, we get k = 2.

Know more about pair of lines here:

https://brainly.com/question/31236993

#SPJ11


Related Questions

I need to know the answer to this very important thank you

I need to know the answer to this very important thank you

Answers

we have

f(x)=2x^3+4x^2-2x-4

using a graphing tool

Find out the zeros of the given function

see the attached figure

the zeros are

-2, -1 and 1

that means

2x^3+4x^2-2x-4=2(x+2)(x+1)(x-1)

therefore

the answer is the option B
I need to know the answer to this very important thank you

Solve each inequality. p + 5 < 10 A. p < –15 B. p < 5 C. p < 15 D. p < –5

Answers

Answer:

B) p<5

Step-by-step explanation:



Julio says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 15." What is Julio's number ?

Answers

Answer:

(X-18)-3=15

3x-54=15

3x=15+54

3x=69

x=23

So jubo's number is 23

The least squares regression line Group of answer choices minimizes the sum of the residuals squared. maximizes the sum of the residuals squared. maximizes the mean difference between the residuals squared. minimizes the mean difference between the residuals squared.

Answers

Maximizing the sum or mean difference between the residuals squared, do not accurately describe the goal of the least squares regression line.

The least squares regression line minimizes the sum of the residuals squared. This means that it aims to minimize the difference between the observed values and the predicted values squared.

This is done by finding the line that has the smallest overall distance from the data points.

The other options, such as maximizing the sum or mean difference between the residuals squared, do not accurately describe the goal of the least squares regression line.

To know more about regression visit:

https://brainly.com/question/32505018

#SPJ11

The least squares regression line minimizes the sum of the residuals squared.

In regression analysis, the least squares regression line is a line that best fits a set of data points by minimizing the sum of the squared differences between the observed values and the predicted values.

The residuals are the differences between the observed values and the predicted values, and squaring them ensures that negative and positive differences are both considered.

By minimizing the sum of the squared residuals, the least squares regression line finds the line that is closest to all the data points.

For example, let's say we have a dataset of 10 data points.

The least squares regression line is determined by finding the line that minimizes the sum of the squared differences between the observed values and the predicted values for each data point.

This means that the line is positioned in a way that it is as close as possible to all the data points, minimizing the overall error.

By minimizing the sum of the residuals squared, the least squares regression line provides the best fit to the data and can be used to make predictions or analyze relationships between variables.

It is widely used in various fields, including statistics, economics, and social sciences.

Learn more about residuals squared :

https://brainly.com/question/30641534

#SPJ11

Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!

Answers

Answer:

Y=23x-43

Step-by-step explanation:

Distribute 23 to (x) and (-2) = 23x-46

The bring the -3 the other side

Y=23x-43

find the standard form of the equation of the parabola with the given characteristics. focus: (9, 9) directrix: x = −9

Answers

The standard form of the equation of a parabola with a vertical axis of symmetry is (x-h)^2 = 4p(y-k), where (h,k) is the vertex and p is the distance from the vertex to the focus/directrix.


In this case, the vertex is at (0,9) (since the directrix is a vertical line and the focus is above it) and the distance from the vertex to the focus/directrix is 9.
Therefore, p = 9 and the equation is (x-9)^2 = 36(y-9).
Note that the directrix being a vertical line means the parabola is opening upwards. The standard form of the equation of a parabola with a focus at (h, k) and a directrix at x = d is given by (x - h)^2 = 4p(y - k), where p is the distance between the focus and directrix.
In this case, the focus is at (9, 9) and the directrix is at x = -9. The distance between them, 2p, is 9 - (-9) = 18, so p = 9. Thus, the standard form of the equation of the parabola is:
(x - 9)^2 = 4(9)(y - 9)
Simplified, this becomes:
(x - 9)^2 = 36(y - 9)
This is the standard form of the equation of the parabola with the given characteristics.

To know more about parabola visit:

https://brainly.com/question/29267743

#SPJ11

Height of the Volleyball Serve
What does the point (1, 18) represent in the context of the problem?
A) The ball is 1 foot in the air after 18 seconds.
B) The ball is 18 feet in the air after 1 second,
C) It takes 18 seconds for the ball to hit the ground.
D) There are 18 players on the court in the first game.

Height of the Volleyball ServeWhat does the point (1, 18) represent in the context of the problem?A)

Answers

Answer:  B)  The ball is 18 feet in the air after 1 second.

Step-by-step explanation:

Find the point on the graph where it hits the 1 second mark and find the value of y, 18 feet.

It says
“find x (round to the nearest hundredth)”

I’m so lost and this is geometry

It says find x (round to the nearest hundredth)Im so lost and this is geometry

Answers

Step-by-step explanation:

6x-11+5x+70=180

11x+59=180

11x=121

x=11.

hope this helps you.

8x+2>34 Y’all know how to do this?

Answers

Answer:

x>4

Step-by-step explanation:

8x+2>34

8x+2-2>34-2

8x>32

8x/8>32/8

x>4

{x:x=4,5,6,7,8,9...}

Hope this helps ;)❤❤❤

Answer:

x>4

Step-by-step explanation:

trust

Scarlett has the deluxe version of the card game Mysterious Monsters of the Deep with 3D images printed on the playing cards. She randomly selects one card from the deck, puts it back in the deck, and picks another card. She repeats this several times and gets 2 anglerfish, 3 vampire squids, 1 viperfish, 4 megamouth sharks, and 5 ghost fish.
Based on the data, what is the probability that the next card Scarlett selects will have an anglerfish on it?

Answers

The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

For more such questions on probability, click on:

https://brainly.com/question/251701

#SPJ8

Help me!! 16 points for this

Help me!! 16 points for this

Answers

Answer:

\(x\) = 16°

Step-by-step explanation:

Because \(x\)° and another angle adds up to a 90° angle, or right angle, that means \(x\) will be equivalent to the difference between 90° and 19°. So \(x = 90 - 19 = 71\)°.

The answer will be 71.

please help asap!!!!!!!!!!!!!!!!!

please help asap!!!!!!!!!!!!!!!!!

Answers

That’s a right angle, so it is 90 degrees. It is split into a 39 degree angle and a 51 degree angle.

6 Kyle is creating a frame for a model car. He begins by plecing two rods together, as shown in the diagram. Justify why AB- 10. O Segment Addition Postulate O Addition Property O Definition of Collinear Points O Definition of Midpoint

Answers

According to the diagram provided, Kyle is creating a frame for a model car by placing two rods together. To justify why AB equals 10, we can use the Segment Addition Postulate.

The Segment Addition Postulate states that if three points A, B, and C are collinear (meaning they lie on the same line), then point B is between points A and C if and only if the sum of the lengths of segments AB and BC is equal to the length of segment AC. In this case, the diagram shows points A, B, and C on a line, where A is the left endpoint, B is the midpoint, and C is the right endpoint. Since point B is the midpoint of segment AC, it divides the segment into two equal parts. Therefore, the length of segment AB is equal to the length of segment BC, and since the lengths are equal, we can conclude that AB is equal to 10 units. Hence, the justification for AB being 10 is based on the Segment Addition Postulate, as it guarantees that point B is the midpoint of segment AC.

Learn more about Segment Addition Postulate here:

https://brainly.com/question/14957499

#SPJ11

Complete question:

Kyle is creating a frame for a model car. He begins by plecing two rods together, as shown in the diagram. Justify why AB- 10. O Segment Addition Postulate O Addition Property O Definition of Collinear Points O Definition of Midpoint

6 Kyle is creating a frame for a model car. He begins by plecing two rods together, as shown in the diagram.

1/3 times 3/5 please I don’t know help

Answers

the answer to your question is 0.2

you may need to use the appropriate appendix table to answer this question. suppose that the mean daily viewing time of television is 8.35 hours. use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household (a) what is the probability that a household views television between 4 and 12 hours a day? (round your answer to four decimal places.) (b) how many hours of television viewing must a household have in order to be in the top 4% of all television viewing households? (round your answer to two decimal places.) hrs (c) what is the probability that a household views television more than 3 hours a day? (round your answer to four decimal places.)

Answers

(a) The probability that a household views television between 4 and 12 hours a day is 0.8864. (b) A household must view at least 12.63 hours of television/day to be in the top 4% of all television viewing households. (c) The probability that a household views television more than 3 hours a day is 0.9830.

(a) To find the probability that a household views television between 4 and 12 hours a day, we need to standardize the values using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For x = 4 hours:

z = (4 - 8.35) / 2.5 = -1.74

For x = 12 hours:

z = (12 - 8.35) / 2.5 = 1.46

Using a standard normal distribution table or a calculator, we can find the probabilities associated with these z-scores:

P(z < -1.74) = 0.0401

P(z < 1.46) = 0.9265

Therefore, the probability that a household views television between 4 and 12 hours a day is:

P(4 ≤ x ≤ 12) = P(z < 1.46) - P(z < -1.74) = 0.9265 - 0.0401 = 0.8864 (rounded to four decimal places).

(b) To find the number of hours of television viewing a household must have in order to be in the top 4% of all television viewing households, we need to find the z-score that corresponds to the top 4% of the normal distribution:

P(z > z*) = 0.04

Using a standard normal distribution table or a calculator, we can find that the z-score that corresponds to a probability of 0.04 is approximately 1.75.

Using the formula for z-score:

z = (x - μ) / σ

We can solve for x:

x = μ + zσ = 8.35 + 1.752.5 = 12.63 (rounded to two decimal places)

Therefore, a household must view at least 12.63 hours of television per day to be in the top 4% of all television viewing households.

(c) To find the probability that a household views television more than 3 hours a day, we can standardize the value of x = 3 using the formula for z-score:

z = (x - μ) / σ = (3 - 8.35) / 2.5 = -2.14

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score:

P(z > -2.14) = 0.9830 (rounded to four decimal places).

Therefore, the probability that a household views television more than 3 hours a day is 0.9830.

Learn more about Probability :

https://brainly.com/question/18882393

#SPJ4

2,6,18,54 what is the 10th term of the sequence​

Answers

Answer:

78

Step-by-step explanation:

I'm really good at these

Answer:

Step-by-step explanation:

This is a geometric sequence with common ratio 3.

10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366

1a. Explain why chess is not a static game of complete information?

Answers

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

Know more about "chess":-

https://brainly.com/question/9389753#

#SPJ11

Help? Please I’m desperate

Help? Please Im desperate

Answers

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

Write the equation of the line that is parallel to the line y=-(5)/(6)x+ 3 and passes through the point (10, 7).

Answers

The equation of the line that is parallel to the line y=-(5)/(6)x+ 3 and passes through the point (10, 7) is y = -(5/6)x + 67.

A parallel line is a line that is equidistant from another line and runs in the same direction.

Consider the given line:

y = -(5/6)x + 3

The slope of the given line is -(5/6).

The slope of a line parallel to this line is the same as the slope of the given line.Using point-slope form, we can write the equation of the line that passes through the point (10, 7) and has a slope of -(5/6) as follows:

y - y1 = m(x - x1)

where (x1, y1) = (10, 7), m = -(5/6).

Plugging in the values, we get:

y - 7 = -(5/6)(x - 10)

Multiplying both sides by 6 to eliminate the fraction, we get:

6y - 42 = -5x + 50

Rearranging and simplifying, we get:

5x + 6y = 92

The equation of the line that is parallel to the line y=-(5)/(6)x+ 3 and passes through the point (10, 7) is y = -(5/6)x + 67.

To know more about parallel visit:

https://brainly.com/question/22746827

#SPJ11

Pls help with this:

Pls help with this:

Answers

Answer:

a=80° b=40°

Step-by-step explanation:

a=80 (vertically opposite angles )

a+b+90+150 = 360° ( angle sum property of quadrilateral )

80+b+90+150 = 360

b+ 320 = 360

b= 360-320

b=40°

Which of the following is a solution to this inquality

Which of the following is a solution to this inquality

Answers

Answer:

(0,-2)

Step-by-step explanation:

(0,-2) would be the correct answer

How could you use a model to find 7 divided by 2= 7/2

Answers

Answer:

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

pls help 81 points pls I need help don't guys this assignment is worth 50 points
I have a D- in math right now pls don't guys pls and its almost midterms so i need this A+
so pls don't guess.

pls help 81 points pls I need help don't guys this assignment is worth 50 points I have a D- in math

Answers

Answer:

6,942 steps left!

Step-by-step explanation:

OK so this is easy so we know that if 1 / 19 = 0.052 we minus that by - 3 because - 3 is our exponent that gives us 3.052 so now we just take 3.052 - 10,000 which gives us exactly 6942 you two steps so he needs 6942 steps left

Answer:

3,141 steps

Step-by-step explanation:

Let x be equal to the number of steps he needs to reach his goal

10,000 = \((\frac{1}{19} )^{-3}\)+ x

10,000 = 6,859 + x

3,141 = x

A number is increased by 32. The new number is one-third of 60$\%$ of the original number. What was the original number

Answers

Answer:

60$ and 10$ dollar maybe

what is the value of x 5x+35

Answers

Answer:

Step-by-step explanation:

I cannot find the value of x because 5x+35 is an algebraic expression, not an equation.

HELPPPPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

I wish I could but I’m dumber than a fish

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4which

Answers

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

are the following statements true or false? if false, correct the statement. a. the precision of your answer is determined by the largest place of significance when adding and subtracting.

Answers

The statement "the precision of your answer is determined by the largest place of significance when adding and subtracting" is False because The precision of your answer is determined by the number of decimal places when adding and subtracting.

For example, if one number is given to the nearest hundredth and the other is given to the nearest tenth, then the result should be given to the nearest tenth. This is because the tenths place is the largest place of significance in this case.

When adding and subtracting, it is important to take into account the precision of each number before adding or subtracting.

If one number is given to the nearest tenth and the other is given to the nearest hundredth, then the result should be given to the nearest hundredth, as the hundredths place is the largest place of significance.

The same applies for any other number of decimal places.

To know more about decimal places click on below link:

https://brainly.com/question/50455#

#SPJ11

PLEASE HELP ILL MARK BRAINLIEST !!

The death rate of a population in a small town is about 2.5%. If the town has a population of

1550 in 2006, in which year does the population reach 1350 people?

Answers

In the year 2012 the population will reach 1350 people.

Apologies if I’m incorrect

Which equation accurately represents this statement? Select three options. Negative 3 less than 4. 9 times a number, x, is the same as 12. 8. Negative 3 minus 4. 9 x = 12. 8 4. 9 x minus (negative 3) = 12. 8 3 2004. 9 x = 12. 8 (4. 9 minus 3) x = 12. 8 12. 8 = 4. 9 x 3.

Answers

The correct statements about the equation are b, c, and e.

\(\rm 4.9x-(-3)=12.8\\\\ 3+4.9x=12.8\\\\12.8=4.9x+3\)

Polynomial;

The highest power of the polynomial is called the degree of the polynomial.

We have to determine

Which equation accurately represents this statement?

Statement; Negative 3 less than 4.9 times a number, x, is the same as 12.8.

Then,

The equation accurately represents this statement is;

\(\rm 4.9x-(-3)=12.8\\\\4.9x+3=12.8\\\\4.9x=12.8-3\\\\4.9x=9.8\\\\x=\dfrac{9.8}{4.9}\\\\x=2\)

Hence, the correct statements about the equation are b, c, and e.

To know more about polynomial click the link is given below.

https://brainly.com/question/17822016

Answer:

b,c,e

Step-by-step explanation:

Other Questions
Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm3/s. How fast is the radius of the balloon increasing when the diameter is50 cm?(A) 1/25(B) 1/5(C) 1/(D) 25 (E) 5 (F) Compare and contrast north america and south america All of the following are parts of the "Long Telegram" by George F. Kenan except:a. The soviet union has no allies.b. the Soviet Union is dogmatic and politically fixed like the Germany Nazi Partyc. Soviet Union propaganda is disruptive rather then constructive.d. The soviet union has an unstable internal political system. Mutual fund managers pass operating fees directly (i.e. a formal billing procedure) to mutual fund investors. true false Which federal agency coordinates responses to disasters that overwhelm local resources?Select one:CDCDEAFEMADMAT The purchase price of an iPad is $650. What is the total price if the sales tax rate is 8% and there is a 15% off sale today? What is the major reason the Safavid, Mughal, and Ottoman Empires were able to takecontrol of vast territories? Under the doctrine of strict product liability, a manufacturer can be held liable: Group of answer choices even if when the product was introduced everyone agreed it was safe. only if the firm knowingly sold a hazardous product. only if the firm purposefully was negligent in the design or production of the product. only if the firm intentionally introduced a defective product. The WHO World Health Report uses the DALY as a common unit of different types of risks. The DALY is a measurement of the loss ofa) one healthy year in a person's life.b) one percentage of average life expectancy.c) one healthy day in a person's life.d) life per 1,000 people per year. ikinalulungkot ng buong kaharian ang pagkasakit ng kanilang hari.Sa aking palagay,ang motibo ng may akda sa paglalagay ng bahaging ito ay____ with respect to the mid-Atlantic ridge providing evidence of seafloor spreading. The magnetic bands preserved in the Atlantic oceanic plate are Oblique Perpendicular Asymmetric Symmetric Question 5 What is the Wadati-Benioff zone? A zone of metamorphism that defines a subduction zone. A zone of thickened continental crust above a subduction zone A zone of earthquake foci that define a divergent plate margin. if the annual interest rate based on simple rate (compounding your interest payment once a year) is 20%. what is the annual interest rate is 12 times per year (compounding frequency is 12)? What is the probability that the dart does not hit a point in the circleThe radius is 4. I can't figure out what to do for this and pls make your explanation simple i got ADHD lol Which of the following is an example of an unbalanced force?A stroller being pushedA ball on the grassA chair leaning on the wallA book sitting on a table 5/8(14)2 what would be the correct answer for this problem Interacting with others while exercising is beneficial to social health because it allows a person to __________.A.feel more alertB.develop better communication skillsC.have better body controlD.reduce the risk for cancer Answer question number 28. The question is in the image. What will happen if deforestation continues to destroy the green plants on theplanet?A. The excess CO2 in the atmosphere will increase global warming.B. The excess CO2 will be absorbed into the ocean.C. The remaining plants will cycle all the air. D. The remaining plants will increase their rate of photosynthesis. 1. When applying the principles of advocacy, a nurse-manager should:a. defer to a leader whenever possible because advocacy is primarily a leadership function.b. prioritize the needs of subordinates over the needs of the organization.c. balance the need to advocate for several different individuals, groups, and organizations.d. recognize that advocacy can only be provided for individuals, not groups or organizations. Displacement is used to measure A. weight B. mass C. distance D. volume