find the magnitude and direction in degrees of the vector v=6i+2 seq31​

Find The Magnitude And Direction In Degrees Of The Vector V=6i+2 Seq31

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]

[tex]=\sqrt{36+12}[/tex]

[tex]=\sqrt{48}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

[tex]=\sqrt{3}\sqrt{2^4}[/tex]

[tex]=4\sqrt{3}[/tex]

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]

[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]


Related Questions

If r= 1 and 0 = 7, what is the approximate arc length?
20
A. 3.665 units
B. 3.927 units
C. 1.167 units
D. 4.189 units
SUBMIT

Answers

The approximate arc length is,

⇒ s = 3.665  units

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, We know that;

The arc length (s) is given by,

⇒ s = r·θ

Here, We have;

r = 1

θ = 7π / 6

Hence, We get;

s = 1 × 7π/6

s = 3.665  units

Thus, The approximate arc length is,

⇒ s = 3.665  units

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After a baby was born, she began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 8 pounds. Write an equation

Answers

Answer:

W x T = 8 or 2w x t = 8

Step-by-step explanation:

Answer:

After a baby was born, she began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 8 pounds. how much did the baby way a 12 months

Step-by-step explanation:

8 x 2 =16 16 x 12= 192 so the baby will be 19 pounds and 2 ounces at 12months

help needed, fast! thank you :)

Answers

Answer:

x ≥ 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

x - 4 ≥ 12

Step 2: Solve for x

Add 4 to both sides:                    x ≥ 16

Here we see that any value x greater than or equal to 16 would work as a solution to the inequality.

Answer: x ≥ 16

Step-by-step explanation:

x−4≥12

Step 1: Add 4 to both sides.

x−4+4≥12+4

x≥16

Answer:

x≥16

What is the L.C.M OF 8,
5 AND 9

Answers

Answer:

What is the L.C.M OF 8,

5 AND 9

Step-by-step explanation:

If x, the time (in minutes) to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, then what is the probability that an oil change job is completed in less than or equal to 22 minutes?

Answers

Answer:

The value is  [tex]P(X \le 22) = 0.2[/tex]

Step-by-step explanation:

From the question we are told that

   The lower limit of the interval is  [tex]a = 20[/tex]

    The upper limit of the interval is  [tex]b = 30[/tex]

Generally the cumulative distribution function for uniform distribution is mathematically represented as  

   [tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \ \ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for  a \le x \le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \  for  x >  b}\right.[/tex]

Generally  the probability that an oil change job is completed in less than or equal to 22 minutes is mathematically represented as

              [tex]P(X \le 22) = \frac{22 - 20}{30 - 20 }[/tex]

=>          [tex]P(X \le 22) = 0.2[/tex]

Which system of equations has no solution?Immersive Reader
(2 Points)
y = -3/4x + 5 and y = -3/4x + 5
y = 3x + 9 and y = 3x + 13
y = -2x – 5 and y = -2x + -5
y = 3x – 5 and y = 2x + 4

Answers

Answer:

y = 3x + 9 and y = 3x + 13

Step-by-step explanation:

y = 3x + 9 and y = 3x + 13

The above system of linear equations have no solutions.

Answer:

y = 3x + 9 and y = 3x + 13

Step-by-step explanation:

i did the quiz i got a 90% but i got this right.

D
Question 16
A piece of cardboard measures 24 inches on each side. Congruent squares on all 4 corners will be cut out to fold the cardboard into a pizza box for Tony's Pizza.

Answers

Answer:

you search on doutnut ok dear

Considering only the factors of the form x - k, what is the relationship between the k values and the zeros?​

Answers

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

1) A school has 1600 students and they are going to vote as to whether they will completely convert the school completely off fossil fuels. How many students would you have to poll to be 95% confident of the outcome within /- 2% of the vote

Answers

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8    

Step-by-step explanation:  

Step(i):-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

                      [tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

       [tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]

       [tex]0.02 = \frac{1.96 X S.D}{\sqrt{1600} }[/tex]

      0.02 X √1600 = 1.96 X S.D

       [tex]S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408[/tex]

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8  

Using the z-distribution, it is found that you would have to poll 2401 students.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

There is no prior estimate, hence [tex]\pi = 0.5[/tex] is used.

The sample size is n for which M = 0.02, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \left(\frac{1.96(0.5)}{0.02}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.02}\right)^2[/tex]

[tex]n = 2401[/tex]

You would have to poll 2401 students.

To learn more about the z-distribution, you can take a look at https://brainly.com/question/12517818

A+b=30, a-b=20, a/b=?

Answers

Answer:

5

Step-by-step explanation:

a+b=30

a=30-b------1

&a-b=20

a=20+b-----2

From eqn 1 and 2, we get

30-b=20+b

or, 10=2b

b=5

Now, a=20+5

a=25

Therefore, a/b=25/5

=5

Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5

The system of equations:

a + b = 30 - - - (1)a - b = 20 - - - (2)

From (1) :

a = 30 - b - - - (3)

Substituting a = 30 - b into (2)

30 - b - b = 20

30 - 2b = 20

30 - 20 = 2b

10 = 2b

b = 5

From (3) :

a = 30 - 5

a = 25

Hence,

a/b = 25 / 5 = 5

Hence, the value of a/b is 5

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Given f-1(x)=-34x+2, which equation represents f(x)?

Answers

There is the answer

At Hearth and Home the price for 2 candles is $8.00. At Homeland the price for 3 candles is $15.00. How many dollars will you save if you buy 6 candles from Hearth and Home instead of Homeland?

Answers

Answer:

answer is 6

Step-by-step explanation:

hard to explain but you have to find the price of 1 candle

Need pleas ok need today

Answers

Answer:

90

Step-by-step explanation:

You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:

-75 + (-25) = -100

-100 + 10 = -90

-90 + 90 = 0

Thus, adding a 90 in the empty box will make it 0.

Answer:

90

Step-by-step explanation:

This is the answer because:

1) -75 + (-25) = -100

2) -100 + 10 = -90

3) -90 + 90 = 0

Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.

Hope this helps! :D

I need G PLZZZZZZZZZZZZZZZ

Answers

I can’t even read it

absolute value of 7 and one
eigth

Answers

The absolute value of 7 and 1/8 is 7 and 1/8! If you have to add these two values then it would be 7 1/8. Absolute value just means both values will be positive. Hope this helps!


Please give brainliest❤️

four students wrote expressions using the variable t below. If t represents a positive integer, whose expression had the greatest value?

Answers

Answer:

Devon

Step-by-step explanation:

lets use t=1 to compare

1. -5(12t+9)

if t = 1, -5(12+9) = -5(21) = negative number

2. 2(-6t-8)

if t = 1, 2(-6-8) = 2(-14) = negative number

3. -6(-2t+18)

if t = 1, -6(-2+18) = -6(16) = negative number

4. (-4(-3t-2)

if t = 1, -4(-3-2) = -4(-5) = 20 positive number

please click red heart to give thanks :)

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Find the value of x by filling in the blanks in the provided statement - reason solution.

I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!

Answers

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

The net of a pyramid is shown below: The net of a square based pyramid, with bases labeled 7 inches and the height of the triangle labeled 14 inches. The surface area of the solid is square inches. (3 points)

Answers

Answer:

245 in²

Step-by-step explanation:

The surface area is the sum of the areas of square base and triangle sides

S = 7² + 4*(1/2*7*14) = 49 + 196 = 245 in²

Answer:

7 x 14 x 4 = 392

Step-by-step explanation:

3. For each literal, make a Venn diagram with three nonempty sets A; B and C, which satisfy simulta-
neously the given conditions:

a)A ⊂ B, C ⊂ B, A ∩ C = ∅ b)A ⊂ C, A 6= B, B ∩ C = ∅
c)A ⊂ B, C * B, A ∩ C 6= ∅ d)A ⊂ (B ∩ C), B ⊂ C, C 6= B, A 6= C.

Answers

Answer:

c is the right answer

Answer:

A

Step-by-step explanation:

I say a because it's supposed to bring the Venn diagram alone

The function g is defined by the following rule. g(x) = 5x +1​

Answers

top to bottom:
-14
-9
6
21
26

The table for the function is,

x          -3     -2     1      4       5

g(x)       -14    -9     6     2      26

What is a function?

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given a function g(x) =  5x + 1

to find the values of g(x) for given values of x

when x = -3

g(x) =  5x + 1

g(-3) = 5(-3) + 1

g(-3) = -14

when x = -2

g(-2) = 5(-2) + 1

g(-2) = -9

when x = 1

g(1) = 5(1) + 1

g(1) = 6

when x = 4

g(4) = 5(4) + 1

g(4) = 21

when x = 5

g(5) = 5(5) + 1

g(5) = 26

Hence the values for g(x) are -14, -9, 6, 21, and 26 respectively.

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The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?



help, help

Answers

Answer:

10 dollars

Step-by-step explanation:

Answer:

10!

Step-by-step explanation:

So the cashier counts 80 bills and if each bill was 10 dollars, then that would equal the total. ($800) Because 80 x 10 equals 800.

Hope this helps!. :)


Austin answered 47 out of 50 questions correct on a test. What percentage grade did Austin receive on his test?

Answers

47/50 * 2/2 = 94/100
0.94 * 100
Solution: 94 percent

Complete the congruence statement by naming the corresponding angle or side.
50 points

Answers

Answer:

Step-by-step explanation:

B is correct..............

Step-by-step explanation:

Triangles HIJ and HCE are congruent

The letter I is the 2nd letter in HIJ. Similarly, the letter C is the 2nd letter in HCE.

Hence Angle I = Angle C (B).

Find the sum of the interior
angles of a regular nonagon
(9-sided figure).

Answers

Answer:

1260°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)

Step-by-step explanation:

Step 1: Define

Number of sides n = 9

Step 2: Find

Substitute:                   180(9 - 2)Subtract:                      180(7)Multiply:                       1260°

If there is an increase in the money supply that causes money to lose its
purchasing power and leads to inflation, what happens to prices?
A. They cease to exist.
B. They fall.
C. They rise
D. They stay the same

Answers

It’s either b or a :)))

Answer: C

They Rise

Step-by-step explanation:

Cuz i did the quiz lol

The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the school $300 to pay the referees for the game. The school wants to make profit on the game, and 75 people attended. This is represented by the system:
5x +3y > 300
x+y = 75
which of the following points is a solution to the system?
(30,45)
(40,35)
(20,15)
(25,70)

Answers

Answer:

(40,35)

Step-by-step explanation:

Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.

Now we just test out each x and y possibility

We know 5x+3 > 300

So lets try the first one

30 is x

45 is Y

5*30=150

45*3=135

Now if you add them

285

285 is not greater than 300 so thats wrong

SO B is correct

But lets check just in case

5*40=200

3*35= 105

305 IS greater than 300

305 > 300

SO B is correct

The point (40,35)

The measures of the angles of a triangle are shown in the figure below. Solve for x.
480
33°
*

Answers

its probably 90 degrees because that’s a right angle

PLZZ HELP!?!?Graph the linear equation −5x+y=−10. Then identify the x-intercept.
WILL BRAINLIEST IF RIGHT!?!?!?

Answers

Graph the equation on a graph then the x intercept will be shown, the x intercept is -2.

Answer:

there is no x-intercept because the equation is

[tex]y = - 5[/tex]

there is only a y-intercept

I inserted an image of the graph. It's a straight line across -5.

The regular price of a bicycle is $120. The bicycle is on sale for 20% off. Which expression is equal to the sale price, in dollars, of the bicycle?

Answers

Answer:

$96

Step-by-step explanation:

120 x .20 = 24

120 -24 =$96

What’s the formula for the sequence 9, 14, 19, 24, ...?

Answers

Answer:

add 5

Step-by-step explanation:

Answer:

+5

Step-by-step explanation:

It keeps adding five so,

14, 19, 24, 29, 34,39,44...

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