Let v be a vector with initial point (–5, –11) and terminal point (6, 2). What is Norm of vector v?
StartRoot 24 EndRoot
StartRoot 290 EndRoot
24
290

Answers

Answer 1

Answer:

B. [tex]\sqrt{290}[/tex]

Step-by-step explanation:

On Edge, just finished the test.

Answer 2

The correct answer is option B which is the norm of the vector v is √290.

What is a vector?

The quantity that needs both the direction and the magnitude for their representation is called a vector.

The norm of vector v will be calculated as:-

Let v be a vector with an initial point (–5, –11) and terminal point (6, 2).

Norm = [tex]\sqrt{(6-(-5))^2+( 2-(-11))^2[/tex]

Norm = [tex]\sqrt{121 + 169\\[/tex]

Norm = [tex]\sqrt { 290[/tex]

Therefore the correct answer is option B which is the norm of the vector v is √290.

To know more about vectors follow

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Related Questions

The coordínates of point A in a cordinate grid are -2,-3point A is reflectes Across the Y axis to obstinada point B and across the X a is tonobtain point C

Answers

Answer:

B(2,3),C(2,-3)

Step-by-step explanation:

On y-axis symmetry有手就行

Find the distance between the lines with equations 5x+8y=0 and y=-5/8x-8.

A.7.1
B.7.11
C.7.12
D.7.13

Answers

Answer:

B

Step-by-step explanation:

Answer: It's A 7.1

ON THE EDGE 2121!

Which of the following graphs represent a function?

A: Graph A and Graph C
B: Graph A
C: Graph D
D: Graph B and Graph D​

Answers

Answer:

A

Step-by-step explanation:

in function graphs if you would draw a line down what shape or line it can only touch it once.

If a normal distribution has a mean of 62 and a standard deviation of 12, what
is the z-score for a value of 74?

Answers

Step-by-step explanation:

N~(62, 12^2)

Use Z-score formula (can find in internet)

[tex] z = \frac{74 - 62}{12} \\ z = \frac{12}{12} \\ z = 1[/tex]

Match the correct equation for the variable n with * for number of times compound interest is figured. quarterly d.___ semi-annually a.___ monthly b.___ annually c.____

I have to put the correct answer on the lines and they gave me a. N =2 b. N= 12
C. N=1 and D. N=4

Answers

Answer:

quarterly N = 4

semi-annually N = 2

Monthly N = 12

annually N = 1

Step-by-step explanation:

Given the following compound interest times :

N = number of times interest is compounded per period :

A period is regarded as a whole year.

Interest compounded;

QUARTERLY = Every 4 months per period = 12/3= 4

SEMI ANNUALLY = Every 6 months per period = 12/6 = 2

MONTHLY = Every month = 12 / 1 = 12

ANNUALLY = Every 12 months = 12 /12 = 1

Simplify the following fraction expressions. Show all of your work. a. 3/4+2/3 b. 7/8-1/4 c. 3/5.1/3 d. 4/7.2/3

Answers

Answer:

Step-by-step explanation:

a. 9/12 + 8/12 = 17/12= 1 5/12

b. 7/8 - 2/8 = 5/8

c. 3/5 x 1/3 = 3/15 = 1/5

d. 4/7 x 2/3 = 8/21

Which of the following is not a rate?
35km/5 min 240miles/8 miles 95 words/1 minute 16oz/1 lb

Answers

Answer:

240 miles/ 8 miles

Step-by-step explanation:

you can't measure a mile per mile (/=per)

can someone please help!?

Answers

Answer:

x = 44.4°

Step-by-step explanation:

Use SOHCAHTOA.

In this case, use sine trigonometric function formula

[tex] \sin(x) = \frac{o}{h} [/tex]

The opposite side of angle is 7.

The hypoteneuse is 10.

So,

[tex] \sin(x) = \frac{7}{10} \\ x = \sin ^{ - 1} ( \frac{7}{10} ) \\ x = {44.427}^{o} \\ x = {44.4}^{o} [/tex]

9514 1404 393

Answer:

  44.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(x) = 7/10

  x = arcsin(7/10)

  x = 44.4°

A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?

Answers

Answer:

750 miles

Step-by-step explanation:

Step one:

Given data

we are told that the hummer gets to 300miles on 20 gallons of gas

Required

The distance that the Hummer can go on 50 gallons of gas

Step two:

if 20 gallons gets to 300miles

the 50 gallons will get to x miles

cross multiply we have

[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]

10. Write
8e'm
56e2m3
in simplest form.

Answers

Answer:

use desmos sientific

Step-by-step explanation:

Answer:

Use desmos sientific!!!!

Given a point A(-3,-1), it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?

Answers

Answer:

[tex]B' = (-3, -15)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-1)[/tex]

[tex]A' = (-9,-3)[/tex]

[tex]B = (-1,-5)[/tex]

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

[tex]A' = A * Scale\ factor[/tex]

Make Scale Factor the subject

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A' and A

[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]

Factorize the numerator

[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]

[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]

[tex]Scale\ Factor = 3[/tex]

The coordinates of B' is then calculated as follows:

[tex]B' = B * Scale\ Factor[/tex]

Substitute values for B and Scale Factor

[tex]B' = (-1,-5) * 3[/tex]

[tex]B' = (-3, -15)[/tex]

Find the area of the surface generated by revolving the curve about each given axis.

x = 2t, y = 6t, 0 ≤ t ≤ 9

Answers

I’m not sure I’d this is suppose to be a joke but if it’s not then tell me in the comments

What number is the opposite of -(-15)?​

Answers

Answer:

what is the opposite of -15

15

what is the opposite of -(-15)

-15

Step-by-step explanation:

A real estate software program gives the estimated values of homes and lists characteristics of the homes. A prospective home buyer used the program to collect a sample of twenty-five homes and recorded the estimated value of the homes and how many bathrooms they contain. The prospective home buyer wants to investigate whether there is an association between the number of bathrooms a home contains and the estimated value of the home. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?A. A two-sample z-test for a difference between proportionsB. A linear regression t-test for slopeC. A matched pairs t-test for a mean differenceD. A two-sample t-test for a difference between meansE. A chi-square test of independence

Answers

Answer:

E - Chi-Square Test of Independence

Step-by-step explanation:

- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.

-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.

-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.

- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.

-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.

From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.

This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.

Answer:

A chi-square test of independence

Step-by-step explanation:

colllege board

On average, Americans have lived in 4 places by the time they are 18 years old. Is this average a different number for college students? The 50 randomly selected college students who answered the survey question had lived in an average of 3.79 places by the time they were 18 years old. The standard deviation for the survey group was 1.2. What can be concluded at the α = 0.10 level of significance?

Answers

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  50  

    The  population mean is [tex]\mu = 4[/tex]

     The  sample mean is [tex]\= x = 3.79[/tex]

     The standard deviation is [tex]\sigma = 1.2[/tex]

     The  level of significance is  [tex]\alpha = 0.10[/tex]

The  null hypothesis is  [tex]H_o : \mu = 4[/tex]

The alternative hypothesis is [tex]H_a : \mu \ne 4[/tex]

Generally  the  test statistics is mathematically represented as

         [tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }[/tex]

=>      [tex]z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }[/tex]

=>       [tex]z = -1.237[/tex]

From the z table  the area under the normal curve to the left corresponding to    -1.237  is    

         [tex]P(Z < -1.237) = 0.10804[/tex]

Generally the p-value is mathematically represented as

        [tex]p-value = P(Z < -1.237) = 2 * 0.10804[/tex]

=>    [tex]p-value = 0.21608[/tex]

Generally  from the values obtained we see that

       [tex]p-value > \alpha[/tex]

Hence

The decision rule is

Fail to reject the null hypothesis

 The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?

Answers

Answer:

Step-by-step explanation:

400 ÷ 16 = 25.

16 ÷ 16 = 1.

1 gallon = 25 miles.

275 ÷ 25 = 11

In conclusion, the car used 11 gallons for 275 miles.

Hope this helps!

4.
IF AABD
ACBE, find the value of x.
27 cm
12 cm
SE
E
23.4 cm

Answers

Answer:

[tex] x = 10.4 [/tex]

Step-by-step explanation:

Since ∆ABD is similar to ∆CBE, therefore, the ratio of their corresponding side lengths would be equal to each other. Thus:

[tex] \frac{BD}{BE} = \frac{AD}{CE} [/tex]

BD = 12 cm

BE = x

AD = 27 cm

CE = 23.4 cm

Plug in the values

[tex] \frac{12}{x} = \frac{27}{23.4} [/tex]

Cross multiply

[tex] x \times 27 = 23.4 \times 12 [/tex]

[tex] 27x = 280.8 [/tex]

Divide both sides by 27

[tex] x = 10.4 [/tex]

Find x =
Please help I’ll give brainiest answer

Answers

Answer:

The Answer is 6

Complete the table so that the cost per banana remains the same.
number of
bananas
cost in
dollars
unit price
(dollars per banana)
4
0.50
6
0.50
7
0.50
10
0.50
10.00
0.50
16.50
0.50

Answers

Step-by-step explanation:

No. of banana    Cost      Unit price

4                            2            0.50

6                            3             0.50

7                           3.5           0.50

20                         10            0.50

20                          10             0.50

33                          16.50        0.50

Cost = No of banana x unit price

Cost = 4 x 0.50 = 2

Cost = 6 x 0.50 = 3

Cost = 7 x 0.50 = 3.50

Cost = 20 x 0.50 = 10

No of banana = Cost / Unit price

No of banana = 10 / 0.50 = 20

No of banana = 16.50 / 0.50 = 33

Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses.

Ninth-grade students: 5,1, 2, 5, 3,8
12th-grade students: 4,2,0, 2, 3, 1

a. By hand, calculate the mean, variance, and standard deviation of each of these data sets. Which is more spread out, the ninth-grade or 12th-grade data set?
b. Make a graph of both data sets. Which of these data sets appears more spread out? Does your answer agree with your conclusion in part (a)?

Answers

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Grade of students:

Grade of student:

In point a:

Grade of [tex]9^{th}[/tex] students:

[tex]\to n= 6\\\\\to Mean = \frac{ \sum x_i}{n} \\\\[/tex]

               [tex]= \frac{ 5+1+2+5+2+8}{6}\\\\ = \frac{24}{6}\\\\ = 4[/tex]

[tex]\to Variance\\\\\sigma^2 = \frac{\sum(x_i -\bar{x})^2}{n-1}[/tex]

    [tex]=\frac{1}{5}(10)\\\\=2[/tex]

[tex]\to Standard \ deviation ( \sigma) :\\\\= \sqrt{\sigma^2}\\\\= \sqrt{2}\\\\= 1.141[/tex]

Since the Grade of [tex]9^{th}[/tex] student's variance is higher than [tex]12^{th}[/tex]grade,  

In point b:

Please find the attached file.

The plot above shows that the student of the ninth grade is spread more widely, as the student from 0-8 to 12 is from 0-4.

Kirby is packing granola bars for a filed trip. He already packed 2 bags with 5 granola bars in each bag. He has 10 more granola bars to pack. How many granola bars will Kirby pack in all

Answers

Answer:

20 granola bars

Step-by-step explanation:

what is the sum

56+90=_____

Answers

Answer:

146

Step-by-step explanation:

the answer is 146!!!!!!

AI Drew a line that was 3/4 of an inch long. He decided to shorten it and erased 1/4 of an inch of the line. How long was the line that remained express the answer in the lowest terms.

Answers

Answer:

1/2

Step-by-step explanation:

3/4 minus 1/4 is equal to 2/4

2/4 is 1/2

Option 2: The answer is B which is 1/2

Best answer gets a brainiest Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer

Answers

Answer:

11:35 am

Step-by-step explanation:

1 hour and 10 minutes at the Willis Tower,

3 hours and 10 minutes at Navy Pier

1 hour and 15 minutes shopping

Total time: 5 hours  35 minutes

They need to be at dinner at 5 :10 pm

Subtract 5 hours

12:10 pm

Subtract 35 minutes

Subtract 10 minutes makes 12:00pm

Then go back 25 more minutes

11:35 am

Help fast please!!!

6x + 4 = 2x - 12

Answers

6x+4=-12-4
4x=-16
X=-4

5 plus 5 euqals what number help

Answers

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

–5x+4-x-1
10 points I’ll mark brainliesr I need asap

Answers

-5x+4-x-1

combine the like terms first

-5x-x+4-1

-5x-x=-6x

+4-1=3

answer:

-6x+3 or 3-6x

Answer:

-6x+3

Step-by-step explanation:

-5x+4-x-1

(-5x-x)+(4-1)

-6x+3

Hello can someone help me with this please

Answers

Answer:

well there are eight total red cookies and there been two that had been bitten out of already that makes the ration 2:8

What is the measure of PLEASE HELP?!

Answers

I’m pretty sure It’s 42 or 43

Will give brainliest help

Answers

Answer:

i cant download the photo

Step-by-step explanation:

Answer:

5/6

7/12

1 5/12

Step-by-step explanation:

I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D

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