Suppose that u and v are two vectors with |u| = 1, |v| = 3 and u · v = −2.
a. Compute |u + v|.
b. Compute |(u + 2v) × v|.

Answers

Answer 1

a. |u + v| = 4

b.  |(u + 2v) × v| = 16

What are vectors?

Vectors are known as quantities having both magnitude and direction.

Given that;

|u| = 1 |v| = 3 u · v = −2

a.  |u + v|

Substitute the values of the vectors

|u + v| = 1 + 3

|u + v| = 4

b.  |(u + 2v) × v|

Expand the bracket

|u. v + 2v² |

But u. v = -2

We then have;

-2 + 2(3)²

-2 + 2(9)

-2 + 18

16

Thus, the values are 4 and 16 respectively.

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Related Questions

What is the Question to 65+23

Answers

Answer:

88

This is just plus 2 digits number toghether

Answer:

88

Step-by-step explanation:

(65 + 23 = 88)

60+20=80

5+3=8

80+8=88

You're making dessert but your recipe needs adjustment your peanut butter cookie recipe makes three dozen cookies but you need two dozen if the recipe requires 3/4 cup of vegetable oil 2 teaspoons of vanilla extract and one and one half cups of peanut butter how much of each of these ingredients are necessary for two dozen cookies

Answers

Answer: 2/4 cups of oil and 1.4 teaspoons and 1 cup of peanut butter

Step-by-step explanation: 3/4 take one out of it to make 2/4 since there are 2 dozen then to have 3 groups of 2 teaspoons it would be 0.7 but its an inf number so its 0.7 and then 1 cup of peanut butter because we are taking half of it away since you want 2 dozen.

|2w + 12| = |4x|
Hvghvvhvgbvgh

Answers

Answer:

No solutions.

Step-by-step explanation:

[tex]\left|2w\left(x\right)+12\right|=\left|4x\right|[/tex]
[tex]x < 0,\:\:x\ge \:0 = No Solutions[/tex]

Which of the following characteristics is not associated a general journal

Answers

The characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.

Given that four options which are as under:

1) Transactions are ordered from greatest to smallest,

2) It is used daily to record transactions,

3) Events are listed in chronological order,

4) The amount credited equals the amount debited.

We are required to choose the correct option which is not a characteristics of general journal.

A general journal is basically an initial record-keeping that records all the transactions except those recorded in a specialty journal like a cash journal, purchase journal, etc.

The option which is correct is option a which tells that transactions are ordered from greatest to smallest.

Hence the characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.

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Question is incomplete. It should include the following options:

1) Transactions are ordered from greatest to smallest,

2) It is used daily to record transactions,

3) Events are listed in chronological order,

4) The amount credited equals the amount debited.

Raina drove 464 miles in 8 hours.
At the same rate, how long would it take her to drive 638 miles?
0 hours
X
S

Answers

s= d/t
s= 464/8 = 58mi/hr
t = d/s
= 638/58 = 11 hours

PLEASE HELP IM BEIGGONG BEGGING BEGGONF YOUUUU!!! EXTRA POINTS AND BRAINLIEST I HAVE OHOTOT

Just questions 14-30 EVEN

Answers

Due to length restrictions, we kindly invite to check the explanation of this question for further details on equations.

How to clear the variables within equations

In this problem we find equations that have got to be cleared with respect to a given variable, this can be done by taking advantage of algebra properties:

14) b / c = a → c = b / a

15) k = a - y → y = a - k

16) d · f · g = h → f = h / (d · g)

17) 2 · x + 3 · y = 12 → 3 · y = 12 - 2 · x → y = 4 - (2 / 3) · x

18) 2 · n = 4 · x + 2 · y → n = 2 · x + y

19) a · b · c = 1 / 2 → b = 1 / (2 · a · c)

20) y = 3 / (5 · u) + 5 → y - 5 = 3 / (5 · u) → 5 · u = 3 / (y - 5) → 3 / [5 · (y - 5)]

21) 8 · (x - a) = 2 · (2 · a - x) → 8 · x - 8 · a = 4 · a - 2 · x → 10 · x = 12 · a → x = (6 / 5) · a

22) 12 · (m + 3 · x) = 18 · (x - 3 · m) → 12 · m + 36 · x = 18 · x - 54 · m → 66 · m = - 18 · x → m = - (3 / 11) · x

23) V = (π / 3) · r² · h → h = [3 · V / (π · r²)]

24) V = (π / 3) · r² · (h - 1) → h - 1 = [3 · V / (π · r²)] → h = 1 + [3 · V / (π · r²)]

25) y · (a - b) = c · (y + a) → a · y - b · y = c · y + a · c → (a - b - c) · y = a · c → y = (a · c) / (a - b - c)

26) x = [3 · (y - b)] / m → (m · x) / 3 = y - b → y = b + (m · x) / 3

27) F = - (G · m) / r² → G = - (F · r²) / m

28) The area formula of the baking sheet is l · w = 117.

29) The temperature formula is T = (7 / 30) · n + 40.

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36+29+14 joshua rewrote the ecpression as 36+14+29. What property fid joshua use to rewrite the expession

Answers

Answer:

Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.

Liam wants to buy raspberries and pears to make a fruit tart. Raspberries cost $2.50
per pound and pears cost $2.25 per pound. How much does he spend if he buys 3
ppunds of raspberries and 2 pounds of pears? How much does he spend if he buys a
pounds of raspberries and y pounds of pears?

Answers

He spends x pounds of Raspberries  and y  pounds of pears, then the equation can be 2.5x + 2.25 y

What is algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Raspberries cost $2.50 per pound

pears cost $2.25 per pound

so, she spends

=2.5 * 3 + 2.25 *2

=7.5+4.5

=$12

If he spends x pounds of Raspberries  and y  pounds of pears.

then the equation can be

2.5x + 2.25 y

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A sample of copper has a mass of 15.6 g and a volume of 1.75 cm^3. Calculate the density of copper from this sample.

this is for earth science but its math :/

Answers

Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².

What is the density of copper from the given sample?

The density of a substance is simply the mass of that substance per unit of its volume.

Density is expressed mathematically as;

Density = Mass / Volume.

Given the data in the question;

Mass of copper sample = 15.6 gVolume of copper sample = 1.75 cm³Density of copper sample = ?

Plug the given values into the formula above and solve for density.

Density = Mass / Volume

Density = 15.6 g / 1.75 cm³

Density = 8.91 g/cm²

Given the mass and volume of the sample, the density of the copper sample is approximately 8.91 g/cm².

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Tomeka is in a jump-roping contest. She hopes to be the last person jumping rope at the end of the contest. In her practice yesterday, she jumped 294 consecutive jumps. She jumped one-fourth of them in the first 5 minutes of practice. How many times did she jump after the first five minutes?

what is the plan of action to this problem?

Answers

Answer:

Answer

Step-by-step explanation:

Answer times the power of infinity

Which graph represents the solution set for the inequality 1xs18?
O
O
O
O
01 2 3 4 5
6
7 8 9 10
0 6 12 18 24 30 36 42 48 54 60
0 1 2
+ + +
+
3
4
4 5 6 7 8 9 10
+
0 6 12 18 24 30 36 42 48 54 60
2
k

Answers

Answer:  Graph D

The inequality solves to [tex]\text{x} \le 36[/tex]

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

Explanation:

The goal is to solve for x.

Multiply both sides by 2 to go from

[tex]\frac{1}{2}\text{x} \le 18[/tex]

to

[tex]\text{x} \le 36[/tex]

The inequality sign does not flip. It would only do so if you multiplied or divided both sides by a negative number.

The graph will have a closed filled in circle at 36, with shading to the left. This is to visually show the set of all x values that are 36 or smaller. The endpoint 36 is included in the solution set (an open hole would be used if you wanted to exclude it from the solution).

This describes Graph D

QUESTION 6
Given: f(x) = 2x² + 4x + 5,
f(a) = ?

None of the above
f(a)=2a² +4a+5
f(a) = 2a + 9
f(a) = 6a + 5

QUESTION 7
Given the same function as in #6, find f(a+h)

2a²+2h²+4a+5
None of the above
2a²+2h²+4a+4h+5
2a²+4ah+2h²+4a+4h+5

Answers

Question 6

Step-by-step explanation:

the answer is f(a)=2a²+ 4a+5

Question 7

2a²+4ah+2h²+4a+4h+5

ming
What is the value of the expression (54+3³) ?
33
Answer:
Submit Answer
OL
C

Answers

The answer is 81.
(54+(3*3*3))
(54+27)
81

Use factoring to solve the polynomial equation:
x(x−2)=48

Answers

Greetings from Brasil...

We know that:

48 = 8 · 6
and 8 - 2 = 6, so

48 = 8 · 6 = 8 · (8 - 2)

then

X · (X - 2) = 48

X · (X - 2) = 8 · 6

X · (X - 2) = 8 · (8 - 2)

We can conclude that

X = 8

72/45 in simplest form

Answers

8/5 because if you divide the denominator and numerator by 9. you get 8/5

Tom has 25 gallons of gas and needs to fill it equally in 3 1/2 gallon containers. How many containers can he fill?

Answers

7.14 containers ≈7 containers are required to fill gallons containers equally for 25 gallons of gas

Given that Tom has 25 gallons of gas and needs to fill it equally in 3[tex]\frac{1}{2}[/tex]  gallons containers and asked how many gallons containers are required to fill equally.

25 gallons gas are required too put in 3[tex]\frac{1}{2}[/tex] gallons containers.

As a result, Divide 25 with 3[tex]\frac{1}{2}[/tex]  to get how many containers are required to fill equality.

⇒[tex]\frac{25}{3\frac{1}{2} }[/tex]

⇒[tex]\frac{50}{7}[/tex]

⇒7.14 gallons containers ≈7 gallons containers

Therefore,7.14 gallons containers ≈7 gallons containers are required to fill gallons containers equally for 25 gallons of gas

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5. A population with mean = 37 and standard deviation = 6 is standardized so that the new mean is 50 and the new standard deviation is 10. A scale of 40 on the first scale is equivalent to what score on the new standardized scale?

Answers

Using z-scores, it is found that a scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.

What are z-scores?

The z-score of a measure X of a distribution with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. Looking at the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.

For the first scale, the parameters are given as follows:

[tex]X = 40, \mu = 37, \sigma = 6[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (40 - 37)/6

Z = 0.5.

For the second scale, we want to find X when Z = 0.5, considering the following mean and standard deviation:

[tex]\mu = 50, \sigma = 10[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

0.5 = (X - 50)/10

X - 50 = 5

X = 55.

A scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.

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HELP WITH MATH INDUCTIVE OR DEDUCTIVE PLEASE



"Anyone who protrices a hocethorn will be dribbed. Steve was not
dribbed. Therefore, he did not protrice a hocethorn."
O Invalid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Valid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Invalid. The inner circle is those who protrice a hocethorn, and the outer
circle is those who are dribbed.
O Valid. The inner circle is those who protrice a hocethorn, and the outer circle
is those who are dribbed.

Answers

Answer:   Choice D

Valid. The inner circle is those who protrice a hocethorn, and the outer circle is those who are dribbed.

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

Explanation:

Refer to the diagram below. It's a visual representation of what choice D is describing.

The "protrice a hocethorn" circle is denoted as "circle P" or simply "P" for short. While circle D refers to those who are dribbed.

If we throw a dart randomly at the inner circle, then we always will land in the outer circle. This is because the inner circle is completely contained within the outer circle. The inner circle is a subset of the outer circle.

If you land in circle P, then you land in circle D.

But Steve did not land in circle D (premise 2). This must mean he could not possibly have landed in circle P.

This is how we reach the conclusion that he did not protrice a hocethorn

For more information, check out the modus tollens rule. Some logic textbooks may refer to it as "denying the consequent".

----------------------------

Here's another example of modus tollens

Premise 1: "If it rains, then the grass gets wet"Premise 2: "The grass did not get wet"Conclusion: "Therefore, it did not rain"

We can think of the events "it rains" and "the grass got wet" as two dominoes. If the second domino did not fall over, then there's no way the first one did. This is because first one topples the second.

what is one less than the product of seven and the difference of a number and 2 is 4 times the number?

Answers

Answer: 7x -4

Step-by-step explanation:

Algebra (4224_EOZ1)
HW Score: 88.89%, 16 of 18 points
O Points: 0 of 1
By air, the distance from city A to city B is 3003 miles less than the distance from city C to city D. If the total of these two distances is 7827 miles, find the distance from city C to city D
ework 2: 3.3 & 3.4
Brooke Conti
Question 14, 3.4.35
09/06/22 7:12

Answers

The Distance between city C and city D is 5405 miles.

Given that Distance from city a to city b is 3003 miles less than the Distance fron city c to city d, the total of these two Distance is 7807 miles and asked to find Distance between  city C and city D.

Given that,

(d-c)-(b-a)=3,003 miles { (Distance between city D and city C)-(Distance between city A and city B)} Let's assume it as equation A

(d-c)+(b-a)=7,807 miles { (Distance between city D and city C)+(Distance between city A and city B)} Let's assume it as equation B

Add equation A and B

2(d-c)=10,810

(d-c)=5,405

Hence,Distance between city D and city C is 5,405

Therefore,The Distance between city C and city D is 5405 miles.

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Solve for x in the diagram below.

(2x+45)

Answers

Answer:

Step-by-step explanation:

you can't really solve for x because there is no equal sign to determine how much x needs to be in order to get the sum.

seven and three eighths times negative one and two thirds.

Answers

Answer: -12 7/24

Step-by-step explanation:

Convert the mixed numbers to fractions (59/8 and -5/3) then multiply across to get -295/24. Simplify for -12 7/24.

Hope this helps :)

Answer: decimal -12.29  fraction -295/24

Step-by-step explanation:

Which choices are equivalent to the expression below check all that apply

Answers

Using exponential function, Correct answers are D and F. 8².8⁵ is equivalent to  8²⁺⁵,  8⁷

What is an exponential function?

An exponential function is a mathematical function with the expression f (x) = ax. where x is a variable and an is a constant known as the function's base. The most common exponential-function base is the transcendental number e, or around 2.71828.

What traits do exponential functions possess?

When the base is bigger than 1, the exponential function has the following characteristics.

The point is traversed by the graph (0,1)The domain only contains true numbers.It is between y>0.The graph is going up.As x approaches negative infinity, the graph asymptotically approaches the x-axis.

The value of 8².8⁵ is  -

8²⁺⁵

8⁷,

Which is equivalent to 7 times 8.

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what is the equation, in slope-intercept form, of the line parallel to y=5x+2 that passes through the point with coordinates (-2,1)?

Answers

Step-by-step explanation:

parallel means it has the same slope.

the slope of a line is always the factor of x (5 in our case).

so, we have already

y = 5x + ?

we resolve the "?" by using the point coordinates as x and y and solve :

1 = 5×-2 + ?

1 = -10 + ?

? = 11

so, the equation is

y = 5x + 11

urgent please help!

Answers

Answer: 0.05t ==> 1st blank

1 ==> 2nd blank

-0.1t+6 ==> 3rd blank

Step-by-step explanation:

what is the area of the rectangle?

Width;
4x-1 ,

Top length;
2x+17

Bottom Length;
6x+9 .

Please help ​

Answers

Answer:  147 square units

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

Explanation:

Recall that the opposite sides of any rectangle are the same length.

This means the top and bottom sides are the same length

top = bottom

2x+17 = 6x+9

2x-6x = 9-17

-4x = -8

x = -8/(-4)

x = 2

Then we can find each side:

width = 4x-1 = 4*2-1 = 8-1 = 7top = 2x+17 = 2*2+17 = 4+17 = 21bottom = 6x+9 = 6*2+9 = 12+9 = 21

We get the same length for top and bottom (21), which confirms the correct x value.

This is a 7 by 21 rectangle with area = length*width = 7*21 = 147 square units.

Please me with this. I got it wrong. I will give extra points and a Brainly.

Answers

Answer:

24

Step-by-step explanation:

First, we know the total number of students: 135

Then we can see that 22+31+28 students like two flavours: 81

Then we can see how many students like all three flavours: 15

Because the students who like two flavours are counted twice, we need to subtract them once.

Because the students who like three flavours are counted three times, we need to subtract them twice.

So we get 135-81-15*2

135-81-30

24

24 students do not like any of the given flavours

if this was helpful pls give me brainliest <3

Answer: 24 students dislike any of the flavors

Step-by-step explanation:

Soo since you have the diagram without any error it the other question soo at the start of the question they have told that in total there are 135 students.

so at the all the number of students with the different types of flavors then you will get the total amount of students who like 2 kinds of flavors and all three flavors.

31+22+28+15+15= 111 students  (since the students who like three flavors are counted three times, we need to subtract them twice, I add it here to make it easier *15+15*)

so next you should subtract that amount from the total amount of students  who likes multiple flavors in order to get the number of students who dislikes and of the flavors.

135-111= 24 students dislike any of the flavors

I hope this helped you I tried my best... I hope this is understandable and good luck!

I need help please….

Answers

enter the correct letters in the boxes on the left with the negative statements on the right

E    Apples make good pies      A  seven is not a prime number

F    the sun is hot today             B   a line does not contain at least two points

D    3+2=7                                   C a right angle does not measure < 90degre

C    a right angle measure < 90  D  3+2[tex]\neq[/tex]7

 A  seven is a prime number       E apples does not make good pies

 B   a line contain at least two points   F  the sun is not hot today

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"a number is no more than 26"

Answers

Answer:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Add these fractions:
3/5 + 6/8

Answers

Answer:

[tex]\frac{27}{20}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} + \frac{6}{8}[/tex]

adjust the denominators;

= [tex]\frac{3*8}{5*8} + \frac{6*5}{8*5}[/tex]

[tex]=\frac{24}{40} + \frac{30}{40} \\\\=\frac{24+30}{40} \\\\=\frac{54}{40} \\\\simplify\\\\=\frac{27}{20}[/tex]

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