Suppose that u and v are vectors in R to the seventh power both of length 2 the square root of 2 and that the length of u − v is also2 the square root of 2 . Thenparallel-to u plus v parallel-to

Answers

Answer 1

Answer:

The angle between u and v is π/3 and parallel-to u plus v parallel-to = k*(u+v) (where k=const)

Step-by-step explanation:

In this question, one is expected to find the angle between u and v, and to get this angle, I will use the triangle formula.

|u-v|^2 = |u|^2 + |v|^2 - 2*|u|*|v|*cosθ

(2√2)² = (2√2)² + (2√2)² - 2(2√2)*(2√2)*cosθ

Expanding (2√2)² = (2√2)*(2√2) = 2*2*2 = 8

8 = 8 + 8 - 16*cosθ

8 = 16 - 16*cosθ

8 - 16 = -16*cosθ

-8 = -16*cosθ

cosθ = 8/16 = 1/2 = 0.5

θ = cos^(-1) (0.5)

θ = π/3

The angle between u and v is π/3 and parallel-to u plus v parallel-to = k*(u+v) (where k=const)


Related Questions

two angles from a linear pair. the measure of one angle is 2/3

Answers

Answer:

First angle = 117 degrees.

Second angle = 63 degrees.

Step-by-step explanation:

boy scout has 3 meters of rope. he cuts the rope into cords 3/5m long. how many cords will he make

Answers

Answer:  5 pieces

===================================================

Explanation:

Note how

(number of pieces)*(length per piece) = 5*(3/5) = 15/5 = 3

which is the total length of the original rope.

So that's why the answer is 5.

We can get this answer through either guess and check, or we can divide 3 over 3/5 like so

3 divide 3/5 = (3/1) divide by (3/5) = (3/1)*(5/3) = 15/3 = 5

The second fraction 3/5 flips when we divide by it. Also the division changes to a multiplication when we flip the second fraction.

5 pieces because 3/5 is 0.6 so to check you can multiply 0.6 by 5 and end up with the 3 meters of rope

What are the coordinates of point S"?
(-3/2,9/2) (-9/2,15/2) (9/2,-3/2) (-15/2,0)
Please look at the image! And I need your help thank you.

Answers

Answer: it is A

Step-by-step explanation:

just took this test

The coordinates of point S" is (-3/2,9/2). Check more about coordinates in a graph below.

What is coordinates?

The term coordinates is known to be one that is often formed by two parts and it is one that shows direction or the point of a given object.

Conclusively, when you look at the graph, you will see that the coordinates of point S" can only be found in the line of  -3/2,9/2.

Learn more about coordinates from

https://brainly.com/question/17206319

#SPJ2

Order the set of numbers from least to greatest.
{1, -2.5, 0.75, 3, -0.75}

Answers

Answer:

-2.5, -0.75, 0.75, 1, 3.

Well if you are to use the quadratic theory or equality from 1987 they it would be -2.5, -0.75, 0.75, 1, 3

here 1234567890123456

Answers

Answer:

1

Step-by-step explanation:

easy

Answer: 1 or 6/6

Step-by-step explanation:

Order of operations rules require that we multiply and divide before carrying out addition and subtraction.

Thus, we simplify 2/3 / (-4) first, obtaining -1/6.

Then we have -1/6 - 1/6 + 8/6, which combines to 6/6, or just 1.

10 points
hi so this is middle school math here due 3:30 Friday December 4th please help ill give you brainliest yes i did it but i just want to help people please give an full explanation and the answer for brainliest.

For her birthday, Lucy received $20 from her aunt, $15 from her grandmother, and $32 from her cousins. How much birthday money does Lucy have left?

Answers

Answer:

67

Step-by-step explanation:

20+15=35

35+32=67

67

For a charity event, raffle tickets are printed such that they have a vowel (excluding y) as the first character and a prime number less than 10 as the second digit. (Note that 1 is not a prime number.) The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is

Answers

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

P (A)  = desired/total

P(A) = 15

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P (B) = 1/4

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

P (AandB) = (1/5) ( 1/4 )

P (AandB) = 1/20

so the probability is 5%

I will make you brainliest if correct. explain how you got it please

Answers

Answer:

?

Step-by-step explanation:

There is no problem...

Answer:

Step-by-step explanation:

What is the question?

Need ASAP!! Plsss I’ll give brainliest!! Do the first and second pls ):

Answers

Answer:

Q1

14+5+11=30

360÷30=12

14×12=168,5×12=60,11×12=132

Step-by-step explanation:

Q2

9+7+3=19

266÷19=14

shortest side is the lowest ratio that is 3

so 3×14=42

Mugs are packed 6 to a box. How many boxes are need to pack 1,524 mugs?

Answers

Answer:

254 boxes are needed.

Step-by-step explanation:

if 6 can fit in one box and you have 1524 mugs then you have to do 1524/6 to get your answer.

Which, if any, of the following is incorrect?
A. sin B = 5/13
B. sin B = 12/13
C. tan B = 12/5
D. All of the above are correct

(picture included) (please help me, i need to pass this to pass the semester, will give brainliest answer)

Answers

B is the answe i think

I like urgently need help, this is due tmr!

Answers

Answer:

117t

Step-by-step explanation:

Due to the ratio between distance and time (d/t) being 936/8 = 117, d = 117t.

Hope this helped!

20pts PLZ HELP ASAP on questions 5 6 7 8

Answers

Answer:

Step-by-step explanation:

GUYS PLEASE HELP NOBODY HAS HELPED

Yesterday, between noon and midnight, the temperature went down by 22.1°F. If the temperature was -5.1°F at midnight, what was it at noon?

Answers

Should be 17 degrees F. Just add 22.1 to -5.1.

There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPLAINED

Answers

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb,  we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since [tex]\lim_{n \to \infty} \frac{a}{2^{n}b }[/tex] = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Find the value of g(4) for the function below.

g(x)= 5/6x -2/3

a) 10/3
b) 8/3
c) 4
d) 28/5​

Answers

Answer:

g(4) = 8/3

Step-by-step explanation:

g(4) = 5/6(4)-2/3

= 20/6 - 2/3

= 10/3 - 2/3

= 8/3

Use synthetic division to solve (4x3-3x2+5x+6)/(x+6). What is the quotient?

Answers

Answer:

4x^2-27x+167-996/x+6

Step-by-step explanation:

Answer:

The Answer is D.

Step-by-step explanation:

If you have this on edge, then it is right.

Can Anyone Help me with this I believe I got the first one correct If not correct me please

Answers

Answer:

the second one I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Andrey works at a call center, selling insurance over the phone. While debating over which greeting he
should use when calling potential customers - "Howdy!" or "Hiya!" - he decided to conduct a small study.
For his subsequent 500 calls, he chose one of the greetings randomly by flipping a coin. Then, he compared
the percentage of calls he succeeded in selling insurance using each greeting.
What type of a statistical study did Andrey use?
Choose 1 answer:
Sample study
Experiment
Observational study

Answers

Answer:

The answer would be Experiment and A

Step-by-step explanation:

I got it correct

Based on the description of the study embarked upon by Audrey, it can be concluded that the statistical study carried out is an experimental study.

Experimental studies involves the introduction of a treatment on the participants in and then measuring how the participants respond to the treatment given.

Here, the greeting types could be regarded as the treatment as are expected to cause a change in the responses of the customers.

Observational study on the other hand, studies natural effect without trying to influence anything in the process.

Therefore, the experiment could best be attributed as an experimental study.

Learn more : https://brainly.com/question/18405415

Which is NOT a zero of the following function?

Answers

Answer:

3 is not a zero of the function, but all the others are

Step-by-step explanation:

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5 % per hour find the bacteria at the end of one hour if the court was in initially 5060​

Answers

9514 1404 393

Answer:

  5187

Step-by-step explanation:

At the end of 1 hour, the count is 2.5% greater than at the beginning.

  5060 + 2.5% × 5060 = 5060 +126.5 = 5186.5

The count at the end of the hour was about 5187.

ok really need hellp hear

Answers

Answer:

2/3 is the answer..

Step-by-step explanation:

becaue 2 holes then 2/3s is not filled trust me!!! plz give brainliest and a thanks!!!!

Audrey bought a refrigerator for $266 that was originally priced at $665. What percentage is the discount?

Answers

Answer:

40.6%

Step-by-step explanation:

discount percentage:

x/y*100

266/655 *100 which is 40.6%

Hope this helps plz hit the crown :D

The store has 6 blue notebooks, 11 red notebooks, 7 purple notebooks, 5 black notebooks, and 3 green notebooks. What is the percent chance that Melissa will buy a purple notebook?
25%
28%
22%
68%

Answers

Answer:

22%

Step-by-step explanation:

1. Add all the numbers to get the total number of notebooks.

6 + 11 + 7 + 5 + 3 = 32

2. There are 7 purple notebooks. To find the percent chance that Melissa will buy a purple notebook, divide 7 by 32.

7/32 = 0.21875

3. Move the decimal to the right two places.

21.875

4. Round to the next whole number.

22%

20 pts Divisible or not divisible

Answers

Answer:

DIVISIBLE

Step-by-step explanation:

Answer:

a)divisible

b)divisible

c)not divisible (999÷11=90.83(approx)

d)divisible (168÷3=56)

e)divisible (424÷4=106)

Step-by-step explanation:

a number is divisible by if the number end with 5 or 0

Who knows how to do this geometry rigid motion problem

Answers

(-5,-3)

the x value stays the same when reflecting the x axis, the y value basically switches signs

please someone help i’ll give brainliest

Answers

Answer:

B

Step-by-step explanation:

100 + 100 X (58 divided by 1000)

Answers

Step-by-step explanation:

[tex] = 100 + 100 \times ( \frac{58}{1000} ) \\ = 100 + 5.8 \\ = 105.8 \: ans.[/tex]

100+100X(58 divided by 1000) =105.8

Step-by-step explanation:

100+100X(58 divided by 1000)

=200X0.058

=105.8

constant of proportionality between yyy and xxx of \dfrac{8}{5}
5
8

start fraction, 8, divided by, 5, end fraction?

Answers

It’s 8 I think not sure

Answer: It is 8

Step-by-step explanation: I got it right on khan academy ;)

PLEASE HELP ASAP 20 POINTS!!!! WILL MARK BRAINLIEST!! PLEASE DONT SCAM!

Answers

Answer:

Step-by-step explanation:

m=y2-y1/x2-x1

y=mx+b

Answer:

C

Step-by-step explanation:

to find the slope: 0-4 divided by 5-(-3)

This equals -4/8=-1/2

the slope is -1/2

the y-intercept would be 2.5 because if you look at the picture closely you can see that the line meets the y line between 2 and 3.

Hope this helps!

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