A vector has initial point of (-1,4) and terminal point (-4,2) write v in component form

Answers

Answer 1

Answer:

v = -3i - 2j

Step-by-step explanation:

Vector given two points:

Given two points, a vector is the subtraction of the terminal point by the initial point.

In this question:

Initial point: (-1, 4)

Terminal point: (-4, 2)

So

v = (-4,2) - (-1, 4) = (-4 - (-1), 2 - 4) = (-3,-2)

The vector is v = (-3,-2)

In component form:

xvalue is i, yvalue j. So

v = -3i - 2j


Related Questions

Rick kept track of wins and losses for each game attempt in the following table.

Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175

Select the correct statement.

A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.

Answers

Answer:

The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.

Step-by-step explanation:

Given the data:

Game Number of Wins Number of Losses

Get-It-Rolling (A) 26 173

Bag-of-Tokens (B) 54 141

Pick-Your-Tile (C) 17 175

EXPERIMENTAL PROBABILITY:

Game A :

Number of games played = 26 + 173 = 199

Experimental probability :

Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306

Theoretical probability :

1 / 8 = 0.125

Game B :

Number of games played = 54 + 141 = 195

Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769

Theoretical probability = 1 / 7 = 0.1429

Game C :

Number of games played = 17 + 175 = 192

Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885

Theoretical probability = 1 / 12 = 0.08333

From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.

In rectangle ABCD,If EC=13 find BD

Answers

Answer:

[tex]BD = 26\\[/tex]

Step-by-step explanation:

Given

[tex]EC = 13[/tex]

Required

Find [tex]BD[/tex]

In the given rectangle.

AC and BD are the diagonals.

This implies that:

[tex]AC = BD[/tex]

AC is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

So:

[tex]AC = EC + EC[/tex]

[tex]AC = 13+13[/tex]

[tex]AC = 26[/tex]

Recall that: [tex]AC = BD[/tex]

[tex]BD = 26\\[/tex]

Choose all that are true. A square is a

Answers

A square is a Shape.
Because it wanted to be one

Given angle DEF : angle RST, find the scale factor.

Answers

The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

[tex]\frac{4}{3}=\frac{16}{x}[/tex]

4x = 48

x = 12

Brainliest for correct answer asap

Answers

Answer:

D

Step-by-step explanation:

1/4^3 (the last one) is correct

5/8
6 ft
9 ft
Find the area of the shape

Answers

Answer:

33.75 or rounded to the nearest tenth: 33.8

Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?

Answers

Answer:

One third or 1/3

Step-by-step explanation:

1/3 simplified or 4/12

The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217

Answers

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

       


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<YXZ and <TUS

Step-by-step explanation:

An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.

Therefore, the only pair of angles from the given options that flare alternate exterior angles are:

<YXZ and <TUS

Amy purchase n notebooks. They were 4 dollars each. Write an equation to represent the total cost C that Amy made.

Answers

4n= C should be your answer
The answer is:4 x n= C

Pls help me fast i need ittttt

Answers

You have to enter a question or picture of a question to receive help

Step-by-step explanation:

where is the question?????

Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please

Answers

Answer:

27

Step-by-step explanation:

NEED HELP IN LESS THAN 5 MINUTES!!!


Sara has taken four math tests so far this year. She has scored a 93, 96, 85, and 87. What score does she have to get on her fifth math test for her mean test score to be AT LEAST a 91.

Answers

95 is the answer just add everything and plug in random numbers

Answer:

At least a 94

Step-by-step explanation:

What is the value of 3AB when a equals five and B equals six

Answers

3AB = 90

comment for explanation

Answer:

90

Step-by-step explanation:

3AB = 3 (5)(6)

3AB = 3 x 30

3AB = 90

50 POINTS - PLEASE HELP!!!
A supermarket display consists of boxes of cereal. The bottom row has 40 boxes. Each row has three fewer boxes than the row below it. The display has seven rows.
a. Write and use a function to determine how many boxes are in the top row (show your work)
b. Use the appropriate formula to determine the number of boxes in the entire display (show your work)

I think I have the 1st part down:
40+(7-1)x-3
40+(6)x-3
23+(-18)
=5 Number of boxes on the Top Row

Answers

Answer: x = 7

Part A: y = (x)3- + 40

22 = 7 x 3- + 40

22 = 21- + 40

40 - 21 = 22

Part A= 22

Part B: x - 3(7) = 7(y) + x

40 + 37 + 34 + 31 + 28 + 25 + 22

Part B: 217

Step-by-step explanation:

Have a nice day.

8. What is the surface area of a square pyramid that has a base of 5 cm and
triangle heights of 8 cm.*

Answers

The answer is 40. 5 x 8, height x base = area

Answer:

105cm squared

Step-by-step explanation:

I put my answer here before, but somehow it got deleted, so I'm typing it again.

A square-based pyramid is made up of one square and four triangles.

We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.

5 x 5 = 25

Therefore, the area of the base is 25cm squared.

Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.

5 x 8 = 40

40 / 2 = 20

Therefore, the area of one triangle is 20cm squared.

But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.

4 x 20 = 80

Add everything together:

25 + 80 = 105

Therefore, the total surface area of the square-based pyramid is 105cm squared.

How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed

Answers

Answer:

308915776 six-letter passwords are possible with repetitions

Step-by-step explanation:

Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.

This can be represented as 26^6=308915776

With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, The six letter passwords are formed using the letters A through Z

with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.

Therefore it would be,

= 26⁶ passwords.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

PLS HELP ME WITH THIS ITS LIKE DUE IN A FEW HOURS

“you’re friend finds the area of the triangle”

(image above)

“is you’re friend correct”,

EXPLAIN YOU’RE REASON!!!

PLEASE

Answers

Answer:

yes

Step-by-step explanation:

Area is 1.2 base * height

the base is 10 and the height is 12

120/2= 60

which of the following is equivalent to 19L

Answers

Answer:

There are no options to pick

Answer:

19 L= 19000 mL

hope this helps

have a good day :)

Step-by-step explanation:

Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?

Answers

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

Juan has 2 1/4 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 1/4 yard long. How many bows can Juan make?

Answers

Answer:

9 bows

Step-by-step explanation:

Take the amount of ribbon and divide by the amount needed per bow

2 1/4 ÷ 1/4

Change the mixed number to an improper fraction

(2*4 +1)/4 ÷1/4

9/4 ÷1/4

Copy dot flip

9/4 * 4/1

9

9 bows

She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41

Answers

Answer:

B. 37 + 7 = 44

Step-by-step explanation:

If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.

B is the answer 37 + 7 = 44

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

Fill in the missing parts. Then determine which bowl contains more sodium.

Soup A

Sodium(mg) 720
Ounces 6 1
Soup B

Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)

Answers

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

what is the distance of 120 and -5 on a number line

Answers

Answer:

the distance between-5 to 120 on a number line is 124

The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?

Answers

We can use the formula: is/of = %/100.

% = 60

of = 160

[tex]\frac{x}{160}=\frac{60}{100}[/tex]

100x = 9600

x = 96

96 students participated in the fundraiser.

Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?

Answers

Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)

Thus, we got a system of equations in x and y as:

[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)

Learn more about forming equations here:

https://brainly.com/question/11938672

Find x. Round to the nearest tenth. Please help with my geometry!! I will have a couple more posted after this also :(

Answers

9514 1404 393

Answer:

  x = 4.9 cm

Step-by-step explanation:

The product of segment lengths is the same for each chord:

  (7 cm)(7 cm) = x(10 cm)

  x = (49 cm^2)/(10 cm)

  x = 4.9 cm

Buteyko method, scope of inference. Exercise introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
If the students in this sample can be considered representative of the population of interest, then the results___, _____generalizable. Additionally, since the study is____, _____the findingss____, _____be used to establish causal relationships.

Answers

WAY to much to read,thanks for the points and have a good day

Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?​

Answers

Answer:

No equations given but the answer is c=1x+7.96

Step-by-step explanation:

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