If Vector A is (3,0) and Vector B is (-3, 3), what is A-B?

Answers

Answer 1

Given the vectors A and B:

\(\begin{gathered} A=<3,0> \\ B=<-3,3> \end{gathered}\)

We need to find the value of A - B

So,

\(\begin{gathered} A-B=<3,0>-<-3,3> \\ =<3-(-3),0-3> \\ =<3+3,0-3> \\ =<6,-3> \end{gathered}\)

so, the answer will be A - B = < 6, -3 >


Related Questions

Which of the following is NOT a voluntary response sample?
***
Choose the correct answer below.
A. A local dentist asks her patients to fill out a questionnaire and mail it back to determine the quality of the care received during an office
visit.
B. Quiz scores from a college level statistics course are analyzed to determine student progress.
C. A radio station asks for call-in responses to a question concerning city recycling.
OD. A survey is taken at a mall by asking passersby if they will fill out the survey.

Answers

Of the given options, the one that is NOT a voluntary response sample is B. Quiz scores from a college level statistics course are analyzed to determine student progress.

What is a voluntary response sample?

A voluntary response sample refers to a sampling method where those who are to be in the sample are asked to be in the sample. They will have a choice on accepting the offer to be in the sample.

When quiz scores from a college level statistics course are used as the sample, this is not a voluntary response sample as the students who had the scores were not consulted.

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What is the difference between triangluar prism and triangluar pyramid

Answers

Answer:

pyramid goes up and it's base is a triangle where as a triangular prism is long and has a rectangle base

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 3 ≤ x ≤ 4.

Given the function defined in the table below, find the average rate of change, insimplest form, of the

Answers

If the function over the interval 3 ≤ x ≤ 4 then, the average rate of change, in simplest form, is 9.

What is average rate of change?

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

m = dy/dx

m =y₂ - y₁ / x₂-x₁

The function over the interval 3 ≤ x ≤ 4.

Using the coordinate points from the table (3, 31) and (4, 22)

Here, y₂ = 22, y₁ = 31 , x₂= 4, x₁ = 3.

Substitute the coordinate into the expression:

= 22 - 31 / 4 - 3

= 9 / 1

m = 9

Hence, the function over the interval 3 ≤ x ≤ 4 ;  the average rate of change is 9.

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draw the line passing through the point (0,2) with a slope of -1

Answers

Answer:

y = -x + 2

Step-by-step explanation:

A loan of $50,000 is to be repaid in 8 equal end-of-year payments at 10% a. After 3 years, how much of the loan would be paid? b. How much would it cost to buy down the interest to 9%?​

Answers

Answer:

a)  = 13550 paid  by end yr 3                                                                                 b) 36450 * 0. 01 = $364.5 buy down interest by 1%

Step-by-step explanation:

50000 * 0.10 = 5000 paid yr 1 = 5000 /8 = 625 per payment   45000 * 0.10 = 4500 paid yr2  40500 *0. 10 = 4050 paid 40500-4050= 36450 left to pay 50000-36450 = 13550 paid    b) 36450 * 0. 01 = $364.5 buy down interest by 1%

Keith sold half of his comic books and then bought nine
more. He now has 20. How many did he begin with?

Answers

Answer:

22 comic books.

Step-by-step explanation:

(20 - 9) * 2 First subtract 9 from 20

11 * 2 Multiply 11 by 2

22 is the product

Multiply.

8×35

Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP

Answers

Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean µ = 86 and standard deviation σ = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 140 (borderline diabetes starts at 140)

Answers

Answer:

0.85083 ; 0.83147 ; 0.6823 ; 0.015386

Step-by-step explanation:

Given that:

σ = 25

μ = 86

(a) x is more than 60

P(x > 60)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (60 - 86) /25

Z = - 1.04

P(Z > - 1.04) = 0.85083 (Z probability calculator)

(b) x is less than 110

P(x < 110)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (110 - 86) /25

Z = 0.96

P(Z < 0.96) = 0.83147 (Z probability calculator)

(c) x is between 60 and 110

P(x < 110) - P(x < 60)

P(Z < 0.96) - P(Z < - 1.04)

0.83147 - 0.14917

= 0.6823

(d) x is greater than 140

P(x > 140)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (140 - 86) /25

Z = 2.16

P(Z > 2.16) = 0.015386 (Z probability calculator)

Carla asked students at a lunch table what their main course they liked. Out of these students, 28n liked pizza, 15 liked chicken nuggets, and 8 liked both. what is the probability that a randomly selected student will like pizza but not chicken nuggets?

Answers

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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Hii please answer i would appreciate it thankssss

Hii please answer i would appreciate it thankssss

Answers

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm

Answers

The correct answers are A) 7cm, C) 9cm and D) 12cm

Define the Conversion of units?

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.

Which statement describes the relationship between xand y?As x increases, y decreases.QAs x increases,

Answers

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Write from leas to greatest 4/6 7/12 5/10

Answers

Answer:The answer would be 5/10, 7/12, and then 4/6

How: What you will do is fine the common denominator between the fractions, which is 60.

5/10: Multiply numerator and denominator by 6 to get, 30/60.

7/12: Multiply numerator and denominator by 5 to get, 35/60.

4/6: Multiply numerator and denominator by 10 to get, 40/60.

HOPE THIS HELPS YOU! ^_^ ❤️

Step-by-step explanation:

Answer:The answer would be 5/10, 7/12, and then 4/6

How: What you will do is fine the common denominator between the fractions, which is 60.

5/10: Multiply numerator and denominator by 6 to get, 30/60.

7/12: Multiply numerator and denominator by 5 to get, 35/60.

4/6: Multiply numerator and denominator by 10 to get, 40/60.

HOPE THIS HELPS YOU! ^_^❤️❤️❤️

Step-by-step explanation:

If to DEF?
A 23
B. 16°
C. 32°
D. 58°

Answers

The calculated measure of the angle D is (c) 32 degrees

How to determine the measure of the angle

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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If to DEF?A 23B. 16C. 32D. 58

Please please look at the picture and answer the question thank you for your help

Please please look at the picture and answer the question thank you for your help

Answers

Answer:

20 for both

Step-by-step explanation:

hope this helps

Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
a.
The interest rate should be ignored, because there’s nothing a consumer can do to change it.
b.
The interest rate is essentially how long you have to pay off your loan, and the shorter the better.
c.
The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.
d.
The interest rate does not change, even between banks, so choosing the right time to borrow is essential.

Answers

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Use the slope formula to find the slope of the line through the points (8,−3) and (−6,4)

Answers

Answer:

  -1/2

Step-by-step explanation:

You want the slope of the line through points (8, -3) and (-6, 4) using the slope formula.

Slope formula

The formula for the slope of the line through points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

Application

For the two given points, the slope is ...

  m = (4 -(-3))/(-6 -8) = 7/-14 = -1/2

The slope of the line is -1/2.

What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6

Answers

Answer:

-2

Step-by-step explanation:

-96 / 48 = -2

48/-24 = -2

-24/12 = -2

12 / -6 = -2

If the numbers are alternating between positive and negative, the common ratio is negative.

To find the common ratio of a geometric sequence, you divide any two terms in the sequence.

COMMON RATIO

ANSWER:The common ratio (r) is -0.5 or -½.

— — — — — — — — — —

In order to get the common ratio, divide any term of geometric sequence to its preceding term.

\(r = \frac{any \: term}{preceding \: term \: } \: {\bold{or}} \: \: \boxed{r = \frac{ a_{2}}{a_{1} }} \)

Substitute the given term and its preceding term to our equation, we get:

\({r = \frac{ a_{2}}{a_{1} }} \: \to \: \: \bold{\frac{48}{ - 96} = \boxed{- 0.5 }}\)

Thus, the answer in your question is -0.5 or -½.

A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,
from the base of the dolly to the ground.
A. 52.0°
B. 38.0°
C. 38.6°
D. 51.4°

A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,from

Answers

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

A mover places a cylindrical container on a dolly, as shown. Calculate the angle of elevation, U,from

BRAINLYEST SHALL BE FOR FIRST AWNSER I SEE

Answers

Answer:

me

Step-by-step explanation:

The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle. a2 + b2 = c2 Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.

Answers

Answer:

Step-by-step explanation:

a^2=b^2-c^2

see picture describe the slope movement for 1/2​

see picture describe the slope movement for 1/2

Answers

I think it's the third choice

Hope it’s right
Best luck with your studying

Use the order of operations to find the value of the following expression.

102 - 2 (8) + 11
95
15
155
795

Use the order of operations to find the value of the following expression.102 - 2 (8) + 119515155795

Answers

Answer:

95

Step-by-step explanation:

Explanation: PEMDAS

Mrs. Taylor caught 6 bats in her attic in 12
minutes. How long would it take to catch 5 bats?

Answers

It’ll take her 10 minutes

dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra

Answers

By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

What does Property of Equality means?

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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The function f(x) is graphed. It represents a translation of the square root function g(x) = . What equation represents the graph of f(x)? f(x) = f(x) = f(x) = – 1 f(x) = + 1

Answers

Using translation concepts, the equation of the graph of f(x) is given as follows:

\(f(x) = \sqrt{x - 1}\)

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is a shift right of one unit of the square root function, hence x -> x - 1 and the equation is given by:

\(f(x) = \sqrt{x - 1}\)

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what is 2 +2
4+5
0+9

Answers

Answer:

Step-by-step explanation:

2+2=4

4+5=9

0+9=9

Answer:

4, 9 , 9 OR 4 + 9 + 9 = 22

Step-by-step explanation:

Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players.

Answers

Camelle should buy a total of 4y practice jerseys for the team

How to determine the total number of practice jerseys?

From the question, the given parameters are:

Number of players in the team = y players

Number of practice jersey for each player = 4 practice jerseys for each player

The total number of practice jerseys is the product of the number of players in the team and the number of practice jersey for each player

This is represented as

Total number of practice jerseys = Number of players in the team x Number of practice jersey for each player

Substitute the known values in the above equation

So, we have the following equation

Total number of practice jerseys = y players x 4 practice jerseys for each player

Evaluate the products

Total number of practice jerseys = y x 4 practice jerseys

This gives

Total number of practice jerseys = 4y practice jerseys

Hence, the number of jerseys is 4y

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Step-by-step explanation:

\huge \pink{~} \red {τ} \green {α} \blue {v} \orange {v} \pink {u} \red {♡}

The frequency table shows the results of a survey asking people how many
hours they spend online per week. On a piece of paper, draw a histogram to
represent the data. Then determine which answer choice matches the
histogram you drew.
Hours online Frequency
5
8
10
9
7
0-3
4-7
8-11
12-15
16-19

The frequency table shows the results of a survey asking people how manyhours they spend online per week.

Answers

Based on the frequency table given, The option that closely matches the histogram I drew is option C but the last one suppose to be 7 and not 6.

What is the histogram about?

Hours online   Frequency

5                           0-3

8                          4-7

10                         8-11

9                          12-15

7                           16-19

Note that in the image attached, you can see how the Hours online were said to be matched with the  Frequency.

So since option A and B was not shown to see which matches the option,  i can say option c is closest but if look at my own image, you can use it to find the right one.

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The frequency table shows the results of a survey asking people how manyhours they spend online per week.

Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x​

Answers

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

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