Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -

Let U(5, -12) And C =3. What Is Cu?39395121Done -

Answers

Answer 1

Answer: [tex]||cu||=39[/tex]

Step-by-step explanation:

Given

[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]

[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction

[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]

[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]

option (a) is correct.


Related Questions

Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted?

a) By blocking on shaving brush size

b) By blocking on shaving brush type

c) By blocking on shaving brush shape

d) By blocking on lather thickness

e) Without blocking

Answers

Answer:

a) By blocking on shaving brush size

Step-by-step explanation:

You block on the variable that the researchers think matters.

The experiment can BEST be conducted by blocking on shaving brush size

What is the reason behind the experiments?

An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.

In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.

Therefore, The experiment can be best carried out by limiting the size of the shaving brush.

Learn more about experiments here:

https://brainly.com/question/19246545

#SPJ2

Find the length of side y.
y=_ft

Answers

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Which point represents – 12 on the number line?

Answers

Answer:

Point C

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

It is need 1/6 to be 2

Which rule explains why these triangles are congruent?​

Answers

Answer:

SSS

Step-by-step explanation:

You can tell by the 2 dashes side and the one dash if that makes sense

Answer: SAS

Step-by-step explanation:

Comparing exponential functions: mastery test

Answers

Answer:nice do it

                       

Step-by-step explanation:

what is it about

show the problem

Step-by-step explanation:

Select all the correct answers.
Natalie buys a new car. At the end of the first month, the odometer on the car reads 800 miles. From past experience, she expects to drive 900 miles per month.

Select all the functions that can be used to find the number of miles, , recorded on the odometer after n months.

Answers

Answer:

(a) [tex]f(n)= 900n -100[/tex]

(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex]   for [tex]n \ge 2[/tex]

Step-by-step explanation:

Given

[tex]f(1) = 800[/tex] --- first month

[tex]d = 900[/tex] --- difference in distance covered each month

Required

Find f(n)

To do this, we have:

[tex]a_n = a_1 +d(n -1)[/tex]

Where

[tex]a_1 = f(1) = 800[/tex]

This gives:

[tex]a_n = 800 +900(n -1)[/tex]

[tex]a_n = 800 + 900n - 900[/tex]

Collect like terms

[tex]a_n= 900n +800-900[/tex]

[tex]a_n= 900n -100[/tex]

So, we have:

[tex]f(n)= 900n -100[/tex]

As a recursion, we have:

[tex]f(1) = 800[/tex]

For every other month i.e. [tex]n \ge 2[/tex]

We have:

 [tex]f(n) = f(n-1) +900[/tex]  for [tex]n \ge 2[/tex]

Which means 900 miles plus distance covered in previous month

Teresa's sugar cookie recipe calls for 2 1/3 cups of sugar. How much
sugar will she need to make 2 1/2 batches?

Answers

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6

A library sells 600 books for a fundraiser. The library claims that 60% of the books are fiction how many of these books are fiction.

A 10
B 36
C 360
D 600
ASAP PLS!!!!!

Answers

Answer:

C. 360

Step-by-step explanation:

60% = 0.60

600 x 0.60 = 360

360 fiction books

If your earned income for 2021 will be $84,686, Calculate what you will pay
in Social Security and Medicare taxes if Social Security is taxed at 6.2% at a
maximum taxable income of $142,800 and Medicare is taxed at 1.45%.

Answers

Answer:

5250.53 social security, 1227.95 Medicare

Step-by-step explanation:

84686x.062=5250.53 in social security

84686x.0145=1227.95 in Medicare

Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random variable. Round your final answer to three decimal places, if necessary. Probability Distributionx 0 1 2 3 4 5 6 7 8 9 P(X

Answers

Answer:

[tex]E(x) = 4.500[/tex] --- Expected value

[tex]SD(x) = 2.872[/tex] --- Standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]

Solving (a): Expected value

This is calculated using:

[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]

[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]

[tex]E(x) = \frac{1}{10}*45[/tex]

[tex]E(x) = \frac{45}{10}[/tex]

[tex]E(x) = 4.500[/tex]

Solving (b): Standard Deviation

First, we calculate the variance using

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

In (a), we have:

[tex]E(x) = 4.500[/tex]

[tex]E(x^2)[/tex] is calculated as:

[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]

So, we have:

[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]

Using a calculator

[tex]E(x^2) = \frac{1}{10}(285)[/tex]

[tex]E(x^2) = 28.5[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 28.5 - 4.5^2[/tex]

[tex]Var(x) = 28.5 - 20.25[/tex]

[tex]Var(x) = 8.25[/tex]

The standard deviation is then calculated as:

[tex]SD(x) = \sqrt{Var(x)}[/tex]

[tex]SD(x) = \sqrt{8.25}[/tex]

[tex]SD(x) = 2.872[/tex] ---- approximated

Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?

A. 60 cm3
B. 35 cm3
C. 96 cm3
D. 156 cm3


Answers

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

A spinner like the one below is used in a game. Determine the probabilit that the spinner will land on an odd number less than nine.

A.3/2
B.5/12
C.1/3
D.6/11​

Answers

It is C. 1/3 because an odd number less than 9 is 7, 5, 3, and 1. There are 4 odd numbers less than 9 out of 12. So it’s 4/12. But you can simplify it and it will give you 1/3

What is the z-score of a data value that is 3 standard deviations to the left of the mean?

Answers

Answer:

Step-by-step explanation:

look up z-table

3 std div. = 0.00135

42 32 30 32 44 36 45 43 What is the median of this set of data?​

Answers

Answer: 39

Step-by-step explanation:

30 32 32 36 42 42 44 45

Ronald and Khalil had a 400 meter race Ronalds time was 1 minute and 51 seconds and Khalil time was 2 minutes and 34 seconds how much faster was Ronald time the khalil’s

Answers

Answer:

Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Step-by-step explanation:

Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:

400 x 2.5 = 1000

60 x 60 = 3600

1.51 = 101 x 2.5 = 252.5

2.34 = 154 x 2.5 = 385

252.5 = 1000

3600 = X

3600 x 1000 / 252.5 = X

14,257.43 = X

385 = 1000

3600 = X

3600 x 1000/385 = X

9,350.65 = X

14,257.43 / 1000 = 14.26

9,350.65 / 1000 = 9.35

Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?

0

1

–13 + 4i

–13 - 4i

Answers

The answer is n= -13-4i

Answer:

D

B

Step-by-step explanation:

RATE MY SINGING: what you know about rolling down in the deep when your brain goes numb you call that mental freeze if I gave you all my love would that make you happy yeah yeahhh eyahh

Answers

Answer:

wow!

Step-by-step explanation:

100 out of 10 it was amazing

5th grade math. correct answer will be marked brainliest

Answers

20 is the least common denominator

Answer:

20

Step-by-step explanation:

5: 5, 10, 15, 20

4: 4, 8, 12, 16, 20

Find the Experimental Probability of Spinning a 4

Answers

Answer:

....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................

Step-by-step explanation:

Which of the following is the solution to the compound inequality below?
3x + 4 213 or 2x-13-11

Answers

Answer:

C. x is greater than or equal to 3 or x is less than or greater than -5

Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil ?

Answers

Step-by-step explanation:

Recognize youre finding the ratio between litres of gas per litres of oil

per always means a ratio

3.75L gas / 1.5L oil

simplify to get 2.5L gas / 1L oil

Can someone please help?

Answers

Answer:

B

Step-by-step explanation:

112.5/15=7.5

[tex] \frac{112.5}{15} = 7.5[/tex] ✅

Step-by-step explanation:

Option A

[tex] \frac{15}{112.5} = 75 \\ ⇢ 0.1333 ≠75[/tex]

Option B

[tex] \frac{112.5}{15} = 7.5 \\ ⇢  7.5 = 7.5[/tex]

Option C

[tex] \frac{112.5}{15} = 75 \\ ⇢ 7.5 ≠75[/tex]

Option D

[tex] \frac{15}{112.5} = 7.5 \\ ⇢ 0.1333 ≠7.5[/tex]

Hence, option B is correct.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

A jar of marbles has 27 green marbles. This represents 30% of the marbles in the jar. How many total marbles are in the jar? Please someone hurry with the answer.

Answers

Answer:

90 i think

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

divide 27 by thirty then multiply by 100

Help pleaseeeeeeeeeeee

Answers

Answer:

C. The cone is ⅓ the volume of the cylinder

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume of a cone = ⅓πr²h

Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)

Let's demonstrate this with figures:

Hypothetically, let,

h = 3 cm

r = 3 cm

Let's plug these values into each formula for a cone and a cylinder:

Cylinder = π*3³*3 = 27π cm³

Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³

As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)

Therefore:

The cone is ⅓ the volume of the cylinder

The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below: Calorie 1960 2160 1530 1690 Weight 75 74 78 80 Calorie 1580 1780 2170 1820 1880 Weight 77 85 79 82 78

Answers

Answer:

hinh nh ul a caanbang

Step-by-step explanation:

Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.

How to compare data?

To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.

Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.

From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.

Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.

This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.

To know more about scatter plots follow

https://brainly.com/question/29064712

#SPJ2

solve the system of equations, -4x+3y= -2

Answers

the answer is x=1/2+3y/4

Answer:

x:(1/2,0)

y:(0,-2/3)

this is the points in the graphic

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST IF ITS CORRECT NO LINKS PLEASE no guessing ;) rip my points i have 6 now ): IM CRYING

Answers

Answer:

5(b+3)

Step-by-step explanation:

you are multiplying the sum of b and 3 by 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

i think the correct answer 5(b+3)

help please! which of the following represents two dependent events .

Answers

Answer:

i would say A

Step-by-step explanation:

A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.

How many marbles are in the red bag?​

Answers

Answer:

3

Step-by-step explanation:

answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

5x²-2x+7+2x²+6x-95x²+2x²-2x+6x+7-97x²+4x-2

so, 7x²+4x-2 is yr answer.

hope it helps.

stay safe healthy and happy.
Other Questions
Please answer quick! I've been stuck on this one a bit, I keep getting the wrong answer. (I'm not the best at math so maybe ya'll can help?) [tex]4/7=x/5[/tex] PEASE HELP MEEEE!!!!!!! Ronald and Khalil had a 400 meter race Ronalds time was 1 minute and 51 seconds and Khalil time was 2 minutes and 34 seconds how much faster was Ronald time the khalils Gene expression is complex, requiring many macromolecules and events. This means....lots of vocabulary terms!!! Complete this matching to show me your mastery of the language. You may want to read the introduction to Lab 15: Gene Expression.molecule that serves as a template for mRNA synthesisname of the process my which RNA is madename of the enzyme that makes RNAdirection of RNA synthesiswhere transcription occurs in prokaryotswhere transcription happens in eukaryotswhere RNA polymerase binds in DNA to begin transcritpionmolecule that serves as a template for protein synthesisorganelle responsible for assembling a proteinwhere ribosomes bind to begin translationprocess of making a protein using mRNAtriplet in mRNA coding for a specific amino acid. start or stop signalanticodonwhere an amino acid is attached in the tRNAA.cytosolB.nucleusC.at the 3' endD.first AUG from the 5' end of mRNAE.5' --> 3'F.mRNAG.promoterH.DNAI.RNA polymeraseJ.triplet on tRNA complementary to codonK.translationL.ribosomeM.transcriptionN.codon What is the z-score of a data value that is 3 standard deviations to the left of the mean? Help pleaseeeeeeeeeeee plzzzzzzzzzzz help me Which of the following was NOT a use of paper in Ancient China? Brainly Comparing exponential functions: mastery test Which rule explains why these triangles are congruent? do all or as many as you can plz (identify the best answer for each question) What is the length of the line? The per-unit standards for direct materials are 2 gallons at $4 per gallon. Last month, 12200 gallons of direct materials that actually cost $45140 were used to produce 7200 units of product. The direct materials quantity variance for last month was $8800 favorable. $8800 unfavorable. $6100 unfavorable. $6600 favorable. In grendal, what poetic device is used in the phrase "ragged little bands that roamed the forest on the foot" A. Directions: Read the story below and analyze it in terms of its storyelements. Given in the following numbers are the elements ofthe story, identify them as to Setting, Character or Plot. Do thisin your notebook.One Saturday morning, Peter woke up early to prepare breakfast forher mother. It was his mother's birthday and he wanted to surprise her. Hecooked fried rice, fried egg and hotdog for her. He set the table and put thecake that he bought yesterday. When his mother came out of her room, shewas very surprised.1. Peter's mother2. One Saturday morning3. Peter cooks breakfast to surprise his mother on her birthday.4. Peter5. Peter's mother was surprised to see her breakfast and birthday cake.na the What was the purpose of the War Production Board (WPB)? Fill in the blank in the following dialogue with the appropriate word below.- Qu'est-ce que tu fais?- Je ne faisA. rien.B. pas.C. personne.D. jamais. 15. How are increasing temperatures likely to affect agriculture?A. Cz and C4 plants will be affected differently.B. Less water will be needed to irrigate.C. Insects will be able to thrive farther away from the equator.D. Nitrogen will be more available to plants. Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random variable. Round your final answer to three decimal places, if necessary. Probability Distributionx 0 1 2 3 4 5 6 7 8 9 P(X Which sentence is written correctly?1. They did the work theirselves.2. You will find the books where you left themselves.3. He tried to keep hisself from losing balance.4. We timed ourselves during the experiment.