What is the magnitude of the vector 12 - 5i?

Answers

Answer 1

Answer:

the magnitude is 7

Step-by-step explanation:

as i means unit vector along x-axis so the magnitude of i is 1 and now,

= 12 - 5×1

= 12- 5

= 7


Related Questions

PLS HELP BEST ANSWER GETS BRAINLIEST Find the height of the triangle whose base is 1/4 inch and its area is 7/8 square inches?

Answers

Answer:

7

Step-by-step explanation:

Half the base (.25) times x = 7/8

.25x = 7/8

7/8 divided by .125 = 7

how'd I do?

I hope I got it correct

In a survey of 1250 shopper at a local mall, 1000 of them had a smart phone. What percent of the shopper at the mall had a smart phone?

Answers

Answer:

80 percent

Step-by-step explanation:

(1000/1250)*100 = 80

Why Is 3 times 1/10 less than 3 times 10?k

Answers

3 times 1/10 is equal to 3/10, whereas 3 times 10 is equal to 30.

3/ 10 is less than 30.

We can write this as 3 * 1/10 compared to 3 * 10

If we divide both sides by 3, we then compare 1/10 and 10.

1/10 is less than 10, so 3 times 1/10 is less than 3 times 10.

We can rewrite 1/10 = 0.1, so 3 * 0.1 is 0.3 whereas 3 * 10 = 30.

Answer:

See Explanation

Step-by-step explanation:

When you multiply 3 * 1/10, 3 goes in the numerator so you get 3/10 which is 0.3

On the other hand 3*10 is 30.

0.3 is less than 30 that's why.

Here's the thing you had one pizza slice (equal to 1/10), and your parents gave you three times more the pizza slice. You will have three slices of pizza (each slice being 1/10) not 30 pizzas.

Hope that makes sense. I can explain again if you need me to!

Consider the following Excel regression of perceived sound quality as a function of price for 27 stereo speakers. Regression Statistics R Square 0.01104 Standard Error 4.02545 Observations 27 Statistic Coefficients Std Error t Stat P-value Lower 95% Upper 95% Intercept 88.4902 1.67814 52.731 0.0000 85.0340 91.9464 Price –0.00239 0.00453 –0.528 0.6019 –0.01172 0.00693 Picture Click here for the Excel Data File(a) Is the coefficient of Price significantly different from zero at α = .05?YesNo(b) Calculate the correlation coefficient. At α = .05, does the correlation differ from zero? (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) r tcalc t.025 ± Since tcalc (Click to select)>< t.025, we (Click to select)rejectfail to reject the hypothesis of no correlation.(c) Given these results, is the difference in quality associated with a higher price likely to be apparent to an average listener?YesNo

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Regression

Statistics

R Square 0.01104

Standard Error 4.02545

Observations 27

Stat - - - - Coef - - Std Error - - t-Stat - - P-value

Int. - - 88.4902 - 1.67814 - - 52.731 - - 0.0000

Price (–0.00239) - 0.00453 (–0.528) - - 0.6019

Stat - - - - lower 95% - - - upper 95%

Int. - - - - - 85.0340 - - - - - - 91.9464

Price - - (–0.01172) - - - - - - 0.00693

(A) No, At α = .05, the Coefficient of price is not significantly different from zero, because :

The p-value (0.6019) obtained is greater than 0.05, Hence we fail to reject the null hypothesis.

B) the correlation Coefficient (r) :

Since ; r^2 = 0.01104

r = √0.01104

r = 0.1050714

The p-value obtained at α = .05 for r value of 0.1051 using the online p-value calculator is .602, this shows that correlation does not differ from 0.

Using :

r(√n-2) / √1 - r^2

0.1051(√27-2) / √1 - 0.01104

0.5255 / 0.9944646

= 0.5284250

For a 2 tailed test: α = .025

t0. 025 = 2.060 and - 2.060

Obtained t value is less than the critical, hence the null hypothesis stands

Hannah's car used of a tank of gas to
cross Arizona. The gas tank on her car hold
15 42 gallons. ABOUT how many gallons did
it take to cross Arizona? (Round to the
nearest whole number)

Answers

Answer:

There are 30 halves in 15, plus the extra half

Step-by-step explanation:

= 31 / 2; 31 / 2 times 3 / 4 = 93 / 8 = your answer. Hope this helps

How do you interpret expressions that represent a quantity in terms of its context?

Answers

Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P. Use the structure of an expression to identify ways to rewrite it.

The function ƒ (x) = 12x gives the number of inches in x feet, and g(x) = 3.28x gives the approximate number of feet in x meters. Write a composite function that could be used to convert meters to inches.

Answers

Answer:

39.36x

Step-by-step explanation:

Given the f(x) = 12x as  the number of inches in x feet and g(x) = 3.28x gives the approximate number of feet in x meters, to find the composite function that can be used to convert metres to inches will give;

f[g(x)] (This means we are substituting the function that is measured in metres into the functions measured in inches).

Given g(x) = 3.28x,

f[g(x)] = f(3.28x)

f(3.28x) means that we are to replace the variable of x in f(x) with 3.28x as shown;

f(3.28x) = 12(3.28x)

f(3.28x) = 39.36x

f[g(x)] = 39.36x

Hence the composite function that could be used to convert meters to inches is expressed as 39.36x.

Write the opposite of the number. -4/5 (The four is not negative, the whole fraction is)

Answers

Answer:

4/5.

Step-by-step explanation:

The opposite of -4/5 is 4/5.

Answer:

4/5

Step-by-step explanation:

The opposite of a number is that number with the opposite sign.

The opposite of a positive number is a negative number. The opposite of a negative number is a positive number. The opposite of zero is zero since -0 means 0.

Examples:

opposite of -5 is 5

opposite of 1/2 is -1/2

opposite of 28 is -28

opposite of -sqrt(5) is sqrt(5)

Your problem:

opposite of -4/5 is 4/5

Use scientific notation to find the product of 20.5 × 10^7 and 0.000036.

73.8 × 10 2
7.38 × 10 2
5.69 × 10 12
7.38 × 10 3

Answers

Answer:
7.38 x 10^3

Explanation:
20.5 x 10^7 = 205000000
205000000 x 0.000036 = 7380
7380 = 7.38 x 10^3

The Tigers had twice as many hits as the yanks.Let x= number of hits by yanks.Then ?= number of hits by tigers​

Answers

Answer: 2x = ? is the question

A school district's superintendent wants to administer a test of life skills to a sample of students. The superintendent has ample time and resources to conduct the study, as well as access to detailed information about all students' addresses, courses, grades, and attendance. Which of the following would be the worst sampling method for the superintendent to use?

-Cluster Sampling
-Convenience Sampling
-Stratified Sampling
-Systematic Sampling

Answers

Answer:

-Convenience Sampling

Step-by-step explanation:

Convenience Sampling is a sampling method that is employed simply because the samples are easy to reach or access. It is a non-probability system of sampling and not a very strong method of sampling. For a serious research such as the one being conducted by the Superintendent, who has ample time to perform the research, this is not a very good sampling method. A Convenience style of research would mean that he can just walk into a cafeteria with students and administer the test to them.

Since he has detailed information of the students, he should choose any of the other mentioned sampling techniques in the options provided to randomly select the subjects. This would help to prevent bias, and enable him to make generalizations with the result of the research.

find the quotient. (-2) divided by 9

Answers

Answer:

-0.22222222222222222222222

Step-by-step explanation:

A rectangular box with no top is to be built from 1728 square meters of material. Find the dimensions of such a box that will enclose the maximum volume.

Answers

Answer:

given surface area with no top as 1728

We say

V= X x Y x Z

So

yz = a(y+2z)

xz = a(x+2z)

Then using partial derivatives

xy = a(2x+2y)

xy+2xz+2yz = 1728

So

xy+2yz = xy+2xz

x=y

So

4xz = x²+ 2xz

x = 2z

4z²+4z²+4z²= 1728

z² = 432

z = 20.8m

x = y = 41.6m

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape? StartFraction 1 over 100 EndFraction StartFraction 1 over 50 EndFraction StartFraction 1 over 45 EndFraction StartFraction 1 over 25 EndFraction

Answers

There are 10 total juice boxes with 2 grape ones.

Picking the first grape would be 2/10 which can reduce to 1/5

Then there would be 9 juice boxes left with 1 grape.

Picking the second grape would be 1/9

Picking both would be 1/5 x 1/9 = 1/45

Answer:

1/45

Step-by-step explanation:

i think it would possibly be d because there are 3 of the apple and 2 of the grape and 4 for the tropical one so it least has a chance... im sorry if its wrong i just started i hope i helped....

plz give me brainlist

Find the rate of change.​

Answers

Answer:

It add up by 6.

Step-by-step explanation:

6 plus 6 is 12 plus another is 18 and it keeps going.

Answer:

time x 6 = your distance

Step-by-step explanation:

Time x 6 = distance

EXample:

2 x 6 = 12

Hope this helps!

Solve the equation
36 +x=20

Answers

Answer:

-16 is the answer because u cant add to have a number lower than the one in equation

Find the distance. V(X2-X.)2+(2-Y.)?
(1,2)(5,4) (-3,5)(2,3)

Answers

Answer: If you divide a trinomial by a monomial the result is a bionomial

A. True

B. False

Step-by-step explanation: tell me the correct answer and I'll tell you

Answer:

The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).

Example

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates: HOPES THIS HELPS

Step-by-step explanation:

Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 every month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either options? How much would she save with either option?

Answers

Answer: In five months,she will save the same money which is $250.

Step-by-step explanation:

Using the first statement we can generate the function y=10x + 200  and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.

y = 10x + 200

y = 30x + 100  

Substitute the value of x in the first equation into the second equation.

30x + 100= 10x + 200   now solve for x

         -100            -100

30x = 10x + 100

-10x    -10x

20x = 100

x= 5  

This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for  y.

y = 10(5) + 200

y = 50 + 200

y = 250  

She will save $250 with either option.

PLEASE HELP ASSAAPPP!!!!!!!!A river discharges 4 × 106 cubic feet of water into the Pacific Ocean each second. There are 86,400 seconds in one day. To find the amount of water discharged each day, a scientist multiplied 4 × 106 by 86,400 on his calculator. The display showed: Explain what 3.456E + 14 means. A. 3.456^14 B. 3.456 × 10^6 C. 3.456 × 10^14 D. 3.456 × 10^ -14

Answers

Answer:

C

Step-by-step explanation:

The river discharges 4 x 10^6 cubic feet of water into the Pacific Ocean each second.

There are 86,400 seconds in one day.

Amount of water discharges each day-

=4x10^6x86400

=345600000000

=3.456 x 10 ^11

Answer: C

Step-by-step explanation:

1) First multiply 4 * 10^6 = 4,000,000

Then multiply 4,000,000 by 86,400 = 3.456 * 10^11

¿Para qué sirve saber estimar la capacidad de un recipiente utilizando el litro y el mililitro como unidades de medida?

Answers

Answer:

Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.

Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.

Step-by-step explanation:

Sirve la estimación de la capacidad de un recipiente dado en función de otros recipientes con capacidades de referencia, en cuyos casos corresponden al litro y el mililitro, respectivamente. Entonces, la capacidad total es aproximadamente la suma de las cantidades de adiciones de cada recipiente de referencia. La fórmula de estimación de capacidad del recipiente es:

[tex]V_{tot} \approx n_{l}\cdot (1000\,mL)+n_{L}\cdot (1\,mL)[/tex]

Donde:

[tex]V_{tot}[/tex] - Volumen total del recipiente, medido en mililitros.

[tex]n_{l}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.

[tex]n_{L}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.

Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.

Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.

is 2 square root of 5 plus three rational or irrational

Answers

Answer:

It is irrational

Step-by-step explanation:

It is irrational.

30 POINTS! ASAP PLEASE ∠1 is a supplement of ∠2, and m∠1=123∘. ∠2 is a complement of ∠3. Find m∠3. m∠3=

Answers

Answer:

angle 3 is 33 degrees.

Step-by-step explanation:

complementary angle-adds up to 90 degrees

supplementary angle- adds up to 180 degrees.

if angle 1 is 123, then angle two is 180-123 degrees(57)

if angle two is 57 degrees, angle 3 is 90-57 degrees (33)

Answer:

m∠3 = 33°

Step-by-step explanation:

Since ∠1 and ∠2 are supplementary the sum of their angles is 180°

So to find ∠2 add ∠1 and ∠2 and equate them to 180° to solve for ∠2

So we have

∠1 + ∠2 = 180

∠2 = 180 - ∠1

From the question

m∠1 = 123°

So we have

∠2 = 180 - 123

∠2 = 57°

From the question , ∠2 is a complement of ∠3 the sum of their angles is 90°

That's

∠2 + ∠3 = 90

∠3 = 90 - ∠2

∠3 = 90 - 57

We have the final answer as

m∠3 = 33°

Hope this helps you

Is it possible for one ray to be shorter in distance than another ray

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

no...because it extends to infinity from one side

Footwear manufacturing is projected to decrease output by 5% from 2009 to 2019. If footwear manufacturing had 1.5 million dollars of output in 2009, approximately how much output is expected in 2019?

Answers

Answer:

$1,425,000

Step-by-step explanation:

1 (original output) - .05 (decrease in output) = .95 (2019 output compared to 2009)

1,500,000 X .95 = 1,425,000

I hope this helps!

-TheBusinessMan

Select the statements that are true based on the following given information. D = {x | x is a whole number} E = {x | x is a perfect square < 36} F = {x | x is an even number between 20 and 30} a) The expression D ∩ E is {1, 4, 9, 16}. b) The expression D ∩ F is {12, 14, 16, 18}. c) D ∪ (E ∩ F) is {all whole numbers}. d) (E ∩ F) is the empty set. e) The expression D ∩ (E U F) is 25

Answers

2 Answers: Choice C and Choice D

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

Explanation:

Let's write the roster notation of each set

D = {0, 1, 2, 3, ...} the dots indicate the pattern goes on forever

E = {0, 1, 4, 9, 16, 25} = list of perfect squares smaller than 36

F = {20, 22, 24, 26, 28, 30} = even numbers between 20 and 30

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

If we intersect sets D and E, we're looking for what numbers are in both sets at the same time. Therefore, D ∩ E = {0, 1, 4, 9, 16, 25} which is the exact same as set E. This is because all of set E is inside of set D. We say that set E is a subset of set D. So, D ∩ E = E.

Choice A is very close to being true. The problem is that 25 is missing from the set {1,4,9,16}. So this is why choice A is false.

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

Now let's intersect sets D and F. The numbers they have in common are {20, 22, 24, 26, 28, 30} which is exactly what set F is. So set F is a subset of set D. We can write D ∩ F = F in much the same way we can say D ∩ E = E.

D ∩ F = {12,14,16,18} is not true. A number like 12 is not between 20 and 30, so it cannot be in set F.

Choice B is false so we cross it off the list.

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

Choice C is true and here's why

D ∪ (E ∩ F) is the same as saying D ∪ G where G is the set of intersecting E and F together. In other words, G = E ∩ F

We don't really need to even worry about sets E, F or G. All that matters here is set D.

When we write D ∪ (E ∩ F) or D ∪ G, we're saying "a number is in set D, or it is in set G". If it is in D, then it's a whole number. Otherwise, it's in a subset of whole numbers.

Overall, D ∪ G and D ∪ (E ∩ F) form the entire set of whole numbers.

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

Choice D is true.

E and F have nothing in common

E = {0, 1, 4, 9, 16, 25}

F = {20, 22, 24, 26, 28, 30}

So intersecting them leads to the empty set. This is the set with nothing inside it, not even 0.

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

Choice F is false

These two sets below

E = {0, 1, 4, 9, 16, 25}

F = {20, 22, 24, 26, 28, 30}

union together to get

H = {0,1,4,9,16,20,22,24,25,26,28,30}

just toss all of the numbers together into one big set

Notice how each of these numbers are whole numbers, so they are part of set D. This means set H is also a subset of set D.

When we intersect sets D and H, we end up with set H. We do not simply end up with the set with 25 only inside it.

The distance around a figure is called _____​

Answers

The distance around a figure is the perimeter, although around a circle is the perimeter is actually called the circumference.

Answer:

Perimeter

Step-by-step explanation:

Which statement accurately describes lines of laditude also called parallels on a map? A. They measure distance east and west of the equator B. They measure the distance east and west of the prime meridian C. They measure distance north and south of the prime meridian D. They measure distance north and south of the equator

Answers

Answer:

A

Step-by-step explanation:

they measure the distance east to west of the equator

An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?

Answers

Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

[tex]320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3[/tex]

So, it will circulate 11.85 cubic yard of air per minute.

(5a^3-2a^2)+(6a^3+9a^2+8a)

Answers

Answer:

11a^3 + 7a^2 + 8a

Step-by-step explanation:

( 5a^3 - 2a^2 ) + ( 6a^3 + 9a^2 + 8a )

= 5a^3 + 6a^3 + -2a^2 + 9a^2 + 8a

= 11a^3 + 7a^2 + 8a

In the figure above, the radius of the inscribed circle is inches (in.). What is the perimeter of square CABD?

Answers

Answer:

perimeter of the square is 32 inches

which agrees with the last answer in your list of options.

Step-by-step explanation:

Notice that the radius of the circle is exactly half of the side of the square, therefore, each side of the square must be 8 inches long.

Then, the perimeter of the square (addition of its four sides) is :

4 x 8 inches = 32 inches

Answer:

Step-by-step explanation:

32

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He thought furiously let the bell ring at 9:35 and the boy how does the author create tension Ohio's license plates have 4 letters followed by 3 numbers. If the same number CANNOT be repeated, how many license plates can be made? What are the 2 inequality? 6. Find the areas of the rectangles with the following side lengths.a. 5 in and 1/3 inc. 5/2 in and 4/3 inb. 5 in and 4/3 inc. 2/5 in and 4/3 ind. 7/6 in and 6/7 inI need an explanation on how you got the answer Describe The european central bank . ( where are they loacted? wHat is their purpose?) Please help me solve this question, What represents an Exothermic Reaction? The school of thought that defines psychology as a study of observable behavior is __________. A. structuralism B. behaviorism C. functionalism D. cubism Choose the false cognate. Carpeta Msica Artstica Regla Abby fills a graduated cylinder with 3 mL of water. She then drops asmall rock into the cylinder, and the water level rises to the 5 mlmark. What is the volume of the rock?mL A couple are standing together. The woman sees a blowing leaf and says "Fall is in the air." Plastic bags are flying around the man, and he says "So are a few other things." How does the analogy in this cartoon clarify the cartoonist's meaning? Comparing something that is part of nature to something that is not shows that plastic bags are a problem. Comparing the leaves and the bags shows that the cartoonist wants us to think that raking leaves is like cleaning up trash. Comparing the man's annoyance to the woman's happiness shows that the cartoonist wants us to think about our feelings. Comparing the woman's positivity to the man's negativity shows that the cartoonist wants us to consider both sides of the topic. Evaluate the expression. Drag the answer into the box to match the expression. 27((3^3)^-1) a. 27 b.3 c.1 D.1/9 100 POINTS help 100! Viruses that are sitting in a droplet of water on a desk are...1 dividing very rapidlly and becoming more dangerous2 able to live for 3 days and then die3in a dormant replication stage4 inactive, they need a cell to reproduce Select the adjectives in the sentence. Two old turtles banged shells together. Jamel was hired as a cook, but all he is regularly asked to do is take out the trash. Jamel's stress level can probably be explained by__________. A friut stand sells watermelons during the summer. The revenue for selling x watermelons is given by f(x)=2.5x. The team's profit is $25 more than 60% of the revenue for selling x watermelons. Write a funcction g to model the profit. Then find the profit for selling 44 watermelons. The occurrence of discarded fishing gear still catching or entangling fish is known asA. lost fishingB. bycatchC. overfishingD. ghost fishing N In the beginning, where did the human beings live? A. in the water B. on the earth C. in the sky You write one MBI July 127 call contract (equaling 100 shares) for a premium of $12. You hold the option until the expiration date, when MBI stock sells for $135 per share. You will realize a ______ on the investment. What is an example of distance decay