Will give Brainliest Answer/ 5 stars for correct answer

Let u = <6, -9>, v = <1, -4>. Find u - v.

A) <5, -5>
B) <10, -10>
C) <15, 5>
D) <7, -13>

Answers

Answer 1

u - v = <6 - 1, -9 - (-4)> = <5, -5> . . . . . . . matches selection A)

_____

The sum or difference of vectors is simply the sum or difference of corresponding coordinates.


Related Questions

divide -2x^3-5x^2+4x+2 by x+2

Answers

We want to divide -12x³ - 5x² + 4x + 2 by  x+2.

We shall perform the division with two methods: long division and synthetic division.

Long Division:
                 -2x² -  x + 6
       -----------------------------
x+2 | -2x³ - 5x² + 4x + 2
         -2x³ - 4x²
       ------------------------------
                  - x² + 4x + 2
                  - x² - 2x
                ---------------------
                           6x  +  2
                           6x  + 12
                       ---------------
                                 - 10
Answer:  [tex]-2x^{2}-x+6- \frac{10}{x+2} [/tex]

Synthetic Division:
-2 | -2  -5  4    2
             4  2 -12
    -------------------
      -2   -1   6 -10

Answer: [tex]-2x^{2} - x + 6 - \frac{10}{x+2} [/tex]

To divide the given polynomial by x + 2, use polynomial long division, which involves dividing the leading term, multiplying the divisor, subtracting, and repeating the process until all dividend terms are addressed.

To divide the polynomial -2x^3 - 5x^2 + 4x + 2 by x + 2, we can use the process of polynomial long division. This method is similar to long division with numbers, where we divide, multiply, subtract, bring down the next term, and repeat the process until we have gone through all terms of the dividend.

The process would look like this:

Divide the first term of the dividend (in this case, -2x^3) by the first term of the divisor (x), yielding -2x^2.Multiply the entire divisor (x + 2) by this quotient (-2x^2) and subtract the result from the dividend.Bring down the next term of the dividend and repeat the process until there are no terms left to bring down.

The final result would be the quotient of the division, which may or may not have a remainder.

find the sum and express it in simplest form.
[tex](b - 3x) + ( - 5b + 6x - 5)[/tex]

Answers

(b - 3x) + (-5b + 6x - 5) 
= b - 3x - 5b + 6x - 5
= b - 5b - 3x + 6x - 5
= -4b + 3x - 5

If "np is greater than or equal to 15" and "n(1-p) is greater than or equal to 15", what is the approximate shape of the sampling distribution of the sample proportion?

Answers

Jfkfkffujckfk kcifiusifjfk kcjfifififfjfsusuifi 679 ifjusi ovifushsueifu ifjjsibo

Answer:

The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

If np >= 15 and n(1-p) >= 15

Can be approximated to the normal distribution, with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

So

The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Find the length of the missing side. The triangle is not drawn to scale.

Answers

x = sqrt(17^2 + 15^2)

x = 8

 missing side = 8

I need help I would really thank whoever answers this for me

Answers

To do these problems, you plug in the ‘n’ value given into the equation.

a. 6j - 3 : j = 4
6(4) - 3
24 - 3
21

b. 1/2b + 5 : b = 14
1/2(14) + 5
7 + 5
12

c. 8 + 4k : k = 3.5
8 + 4(3.5)
8 + 14
22
a.
6j - 3 for j = 4.
(6*4) - 3, 24 - 3 = 21.

b.
1/2b + 5 for b = 14
(1/2 * 14) + 5, 7 + 5 = 12

c.
8+4k for k = 3.5
8 + (3.5*4), 8 + 14 = 22

Hope this helps! You could always check these answers on a site called    Math-way (without the dash.)

If 9 is added to twice a number and this sum is multiplied by 6 the result is the same as if the number is multiplied by 7 and 14 is added to the product. What is the number?

Answers

For these type of questions, it requires you to understand and write a algebraic equation out of words given.

Therefore, let that number be y.

"if 9 is added to twice a number" = 2y + 9
"this sum is multiplied by six" = (2y + 9) x 6

"the number is multiplied by 7" = 7y
"14 is added to the product" = 7y + 14

Now combine the expressions and solve away!

(2y + 9) x 6 = 7y + 14

Expand.
12y + 54 = 7y + 14

Shift all the y to a side and all the pure numbers to another side.
12y - 7y = 14 - 54

Group them.
5y = - 40

Divide 5 on both sides.
y = - 8

Therefore, the number is - 8.


Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer.

Answers

The information provided will allow us to create a ratio of the number of fliers given out on Wednesday in relationship/compared to the total number of flyers.  This would be written as 99 on Wed./250 total.  I found this by reading the question.  It asked for the fraction given out Wed., which we can write a ratio of part to total for.  The part is Wednesday and total is all the days added together.

Answer:

She gave out a total of 250 fliers and 99 of them were given out Wednesday. The fraction for that would be 99/250.

Step-by-step explanation:

Consider the provided information.

She gave out 85 fliers on Monday 66 fliers on Tuesday, and 99 fliers on Wednesday.

Now, calculate the total number of fliers she give:

She give 250 fliers in total.

We need to find the fraction of the fliers she give out on Wednesday.

On Wednesday she give 99 fliers and total she give 250 fliers.

99/250

Hence, she give out 99/250 fraction of fliers on Wednesday.

How many ways are there to choose eight coins from a piggy bank containing 100 identical pennies and 80 identical nickels?

Answers

There are 9 ways to choose eight coins from a piggy bank.

Total number of ways =

(Combinations of 8 pennies) + (Combinations of 7 pennies and 1 nickel) + ... + (Combinations of 0 pennies and 8 nickels)

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9 ways

The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the surface area of the pyramid?

Answers

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

[tex]\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}[/tex]

[tex]\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm[/tex]

Now,

[tex]\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}[/tex]

Hence, surface area of pyramid = 4406832 square cm.


two angles are supplementary. One angle measures at 75° more than twice the measure if the other. What are the measurements of the two angles?

Answers

* the first angle is variable a and the second is variable b
a + b = 180 (because supplementary angles means their sum is 180)
a = b + 75
substitute the value of a (b+75) into the first equation to get: 
b + 75 + b = 180
simplify to get:
b = 52.5
use this value to substitute into any of the 2 equations to get the value of a:
52.5 + 75 = a
a = 127.5
So, the measurements of the two angles are 52.5° and 127.5°
supplementary means adds to 180 degrees

say they are x and y
x+y=180


and one meauses 75 more than twice the other
x=75+2y

solve
subsitute 75+2y for x in other equation

75+2y+y=180
75+3y=180
minus 75 from both sides
3y=105
divide both sides by 3
y=35

sub back
x=75+2y
x=75+2(35)
x=75+70
x=145

the angles are 145° and 35°

A rectangle is 5 centimeters long and 4 centimeters wide. What is its area?

Answers

The area is twenty because five times four equals twenty
Hey there!

In area, you multiply the length times width.

Length = 5

Width = 4

4 x 5 = 20

The rectangle's area is 20.

Hope this helps you.
Have a great day!

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula.

Answers

Answer: The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

S(t) = 2 - 0.25 t

Which is the required function's formula.

Final answer:

The function's formula for the ice sheet's thickness as a function of time is S(t) = -0.25t + 2.

Explanation:

To write the function's formula, we can use the slope-intercept form of a linear equation, which is given by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope represents the rate at which the ice thickness decreases over time. From the given information, we know that the thickness decreases by 0.75 meters over 3 weeks. Therefore, the slope is -0.75/3 = -0.25 meters per week.

Since the ice thickness is 2 meters in the beginning, the initial point on the graph is (0, 2). Using the slope-intercept form, we can write the formula for the ice sheet's thickness as a function of time as:

S(t) = -0.25t + 2

Learn more about Arctic Circle lake ice thickness here:

https://brainly.com/question/15739889

#SPJ2

Simplify the product. (5 − 6)(2 + 7)

Answers

5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9

-9 would be the simplified answer.

Hope this helps!

The area of a circle (A) is given by the formula A=pi*r2
where r is the circle's radius. The formula to find r is . If and , r is centimeters.

Answers

Final answer:

The area of a circle is calculated with the formula A = πr², where pi is the mathematical constant approximately equal to 3.14159 and r represents the circle's radius. Considering significant figures is crucial for maintaining precision, as demonstrated in rounding the calculated area of a circle with radius 1.2 m to 4.5 m², based on the initial data's precision.

Explanation:

The area of a circle is calculated using the formula A = πr², where π (pi) is a constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a given radius, it's important to consider the significance of figures in your final answer. For instance, if a circle's radius is given as 1.2 meters (with two significant figures), and you calculate the area to be 4.5238934 square meters using a detailed value of pi, you need to round your final answer to maintain the precision of your initial data, resulting in an area of 4.5 m².

It's also valuable to note how ancient civilizations, like the Greeks, approximated mathematics related to circles and how such estimations have evolved into our modern understanding, where the concept of significant figures plays a critical role in ensuring accuracy across varying fields of study and applications.

Sarah spends 1/6 hour Vacuuming her moms car. She spends four times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spencer vacuuming washing and waxing her moms car

Answers

Vacuuming
Sarah spend 1/6 of an hour vacuuming her mom's car. That means that if we take a whole hour and divide it into 6 equal amounts of time, she spends one of these vacuuming the car. Let's figure out how many minutes that is. One hour is 60 minutes, so dividing an hour into 6 equal amounts of time means each of these is 10 minutes. So, Sarah spends 10 minutes vacuuming her mom's car.

Washing
Sarah spends 4 times as long washing the car as she does vacuuming it. Since she spends 10 minutes vacuuming, that means she spends 4 times that amount (4 x 10 = 40 minutes) washing the car. That is, Sarah spends 40 minutes washing the car.

Waxing
Sarah spends twice as log waxing the car as she does washing it. Since she spends 40 minutes washing, she spends 2 times 40 minutes (2 x 40 = 80) waxing the car. That is, Sarah spends 80 minutes waxing the car.

Total time spent on mom's car
The total time spent on the car is 10 minutes + 40 minutes + 80 minutes. That is 130 minutes. As there are 60 minutes in one hour, we can also express the answer as 2 hours and 10 minutes.

Answer:

C

Step-by-step explanation:

A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?

Answers

the answer is a times n

Answer:

a x n

Step-by-step explanation:

There are a pounds in n identical boxes. That means you would have to multiply to get the answer.

High statement is true? Y=log10^x is not a logarithmic function because the base is greater than 0

Answers

C.) y=log1X is not a logarithmic function because the base is equal to 1. XD
Just took the test!!

Sorry I didn't see this earlier 

Answer:

Option 3 - [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

To find : Which statement is true?

Solution :

As the function defined in all statement is logarithmic function.

So, The definition of logarithmic function is defined as

[tex]y=\log_bx\Rightarrow b^y=x[/tex] where, b>0 and b ≠ 1.

Now, The following statement

1) [tex]y=\log_{10}x[/tex] is not a logarithmic function because the base is greater than 0.

The statement is False as by definition, the base of a log must be greater than zero but cannot equal one.

2) [tex]y=\log_{\sqrt3}x[/tex] is not a logarithmic function because the base is a square root.

The statement is False as by definition, the base [tex]\sqrt3[/tex]  is a positive number not equal to one.

3) [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.

The statement is True as by definition log cannot have a base of one.

4)  [tex]y=\log_{\frac{3}{4}}x[/tex] is not a logarithmic function because the base is a fraction.

The statement is False, as 3/4 is a legitimate base, just like any other positive number other than one.

Therefore, Option 3 is true.

why does 16 to the power of 0 equal 1?

Answers

16 to the power of 0 is one because any number to the 0 power is 1. This is because you aren't multiply 16 (or any number) by itself any amount of times.
16^0 = 1 because any number to the zero power is just the product of no numbers at all, which =  1.


hope this helps

1. What is the area of this figure?
Enter your answer in the box.

? cm²

2. What is the measure of angle x?
Enter your answer in the box.

x = °

Answers

1. What is the area of this figure?
Enter your answer in the box.

A = (5x5) + 1/2(4)(5)
A = 25 + 10
A = 35

answer
35 cm²
--------------

2. What is the measure of angle x?
Enter your answer in the box.

x = 90° - 47
x = 43°

Answer:

The area if this figure is 35cm2

Step-by-step explanation:

An urn initially contains 5 white balls and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 more balls of the same color. what is the probability that of the first 2 balls selected, one is white and one is black?

Answers

The Answer To Your Q Is 3 Young Sir

An equipment rental company charges a flat rate of $25, plus $13 per day for insurance. Kyle has $121. Write an inequality to represent the number of days, d, for which he can rent equipment

Answers

Final answer:

The inequality to represent the number of days, d, Kyle can rent equipment with $121 is 25 + 13d ≤ 121. After solving, the result is d ≤ 7, meaning Kyle can rent the equipment for at most 7 days.

Explanation:

To represent the number of days, d, that Kyle can rent equipment given he has $121, we set up an inequality taking into account the flat rate and the daily insurance cost. The equipment rental company charges a flat rate of $25 plus $13 per day for insurance. Therefore, the cost for d days would be $25 + $13d. Since Kyle has $121, we can write the inequality as:

25 + 13d ≤ 121.

This inequality shows that the total cost of renting the equipment for d days, which includes the flat rate and the per-day insurance cost, must be less than or equal to the amount Kyle has.

To solve for d, subtract 25 from both sides:

13d ≤ 121 - 25

13d ≤ 96

Now, divide both sides by 13 to find the maximum number of days Kyle can rent the equipment:

d ≤ 96 / 13

d ≤ 7

Thus, Kyle can rent the equipment for at most 7 days.

Final answer:

Kyle can rent equipment for at most 7 days with $121, considering a flat rate of $25 and a $13 per day insurance charge, as represented by the inequality 25 + 13d ≤ 121.

Explanation:

To find the inequality that represents the number of days, d, for which Kyle can rent equipment given that he has $121, we need to consider both the flat rate and the per day insurance charge.

The flat rate for renting equipment is $25, and the daily insurance charge is $13 per day. So, the cost for d days would be the flat rate plus the daily charge times the number of days, which can be represented by the following equation:

Cost = Flat rate + (Insurance charge per day × Number of days)

Cost = 25 + 13d

Since Kyle only has $121, he can spend up to that amount. Therefore, the inequality would be:

25 + 13d ≤ 121

To solve for d:

13d ≤ 121 - 25

13d ≤ 96

d ≤ 96/13

≤ 7.38

Since Kyle can't rent equipment for a fraction of a day, we take the whole number part of the division result. This means that Kyle can rent the equipment for at most 7 days.

Given ΔJKL : ΔXYZ, find the scale factor.
6 8
---- ----
9 x

Answers

I'm assuming it's 6/9 = 8/x, so I'll work with that.
Multiply means and extremes
6x = 72
x = 12
6/9 = 8/12
The scale factor is 4/3 or 1 and 1/3

Hope this helps =)

Answer:

it is 16

Step-by-step explanation:

Explain how to rename the fractions using division so they have the same denominator to compare. 4/5 and 6/10

Answers

You could divide 6/10 by 2.
6/10=3/5
4/5 and 3/5 both have the same denominator

From their house to their parents house, the Leightons have to drive 276 miles. if they have already driven 2/3 of the distance, how far have they gone?

Answers

they have traveled 184 miles
184 miles is how much they have left.

Find the measure of the major arc if its central angle is 35

Answers

Hey there Javier!

[tex] \left[\begin{array}{ccc}\boxed{\boxed{360-35=325}}\end{array}\right] [/tex]

That major arc would be [tex]325[/tex]° [tex]degrees[/tex].

Hope this helps you boy!

Y=10x
Graph the function

Answers

The slope is 10
since it doesn't say anything after the 10x, the y-intercept is at (0, 0)
all I know is that the slope is 10, I dont quite know how to graph it but hope this helps

which of the following is equivalent to the polynomial below

Answers

For this case what you must do is find the roots of the corresponding polynomial by means of a factorization.
 We have then:
 x ^ 2-10x + 61
 (x- (5 + 6i)) (x- (5-6i))
 Checking:
 (x- (5 + 6i)) (x- (5-6i))
 x ^ 2 - x * (5-6i) - (5 + 6i) x + (5 + 6i) * (5-6i)
 x ^ 2 - 5x + 6ix - 5x- 6ix + 25 - 30i + 30i + 36
 x ^ 2 -10x + 61
 Answer:
 (x- (5 + 6i)) (x- (5-6i))

Eli earned $98 at his job when he worked for 8 hours. what was his hourly pay rate in dollars per hour hour?Express your answer in simplest form

Answers

Divide the amount of money by the number of hours.

$98/8 = $12.25/hour

what are the zeros of the function below?
f(x) = x(x-1)(x+11)/(x+12)(x-13)
a. 0,1, and -11
b. 0, -1, and 11
c. 13 and -12
d. -13 and 12

Answers

When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.
[tex]x(x-1)(x+11)=0[/tex]
A product is equal to zero whenever one of the factors is equal to zero. 
That means that zeros of our functions are:
1)[tex]x=0[/tex]
2)[tex]x-1=0[/tex]
[tex]x=1[/tex]
3)[tex]x+11=0[/tex]
[tex]x=-11[/tex]
The final answer is a. Function has zeros at (0, 1, -11).

how to erite a sequence of 1/4 , 1/2,3 write a rule for the sequence 1/4 1/2 3/4

Answers

The equation for finding the equation of an arithmetic sequence is an=a1+(n-1)d, where n is the input for the sequence, a1 is the first term, and d is the difference between each term. 

a1= 1/4
d= 1/4 

an= 1/4 + (n-1)(1/2) - First you need to distribute the 1/2 to both the n and -1 to get:    an= 1/4 + 1/2n -1/2.

Then you need to add like terms (1/4-1/2) to get an=1/2n-1/4.  Hope this helps!

The sequence 1/4, 1/2, 3/4 increases by 1/4 for each subsequent term, defining it as an arithmetic sequence with a common difference of 1/4.

To find a rule for the sequence 1/4, 1/2, 3/4, we can examine the pattern and observe that the sequence consists of fractions that increase by 1/4 each step. Starting with 1/4, when we add 1/4, we get 1/2, and adding another 1/4 to 1/2 gives us 3/4. So the rule of the sequence can be written as 'start at 1/4 and add 1/4 each step'. This pattern is an arithmetic sequence with a common difference of 1/4.

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After eating a salty fish dinner you are very thirsty for plain water, a condition described as Although farmers have a number of ways to raise young fish, most are grown in earthen ponds. separates items in a series separates coordinate adjectives (adjectives that independently modify the same noun) joins two main clauses sets off an introductory clause, phrase, or word sets off a nonrestrictive modifier (modifying words that could be removed without loss of meaning) Misinterpreting her physician's instructions, a 69-year-old woman with a history of peripheral artery disease has been taking two 325 mg tablets of aspirin daily. how has this most likely affected her hemostatic status? a. irreversible acetylation of platelet cyclooxygenase activity has occurred. b. she is at risk of developing secondary immune thrombocytopenic purpura (itp). c. the binding of an antibody to platelet factor iv produces immune complexes. d. the patient's prostaglandin (txa2) levels are abnormally high. A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass. 46 56 45 44 45 61 55 53 39 What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? a0 The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the a1 What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? a2 Dan and Dawn purchased a house for $69,500. They had to make a down payment of 20%. How much was the amount of the mortgage they obtained? a. $13,900 b. $69,500 c. $55,600 d. $76,450 GET A BRAINEST Why didn't Alexander Fleming see the mold spore fall into his Petri dish? A.The spore looked the same as the bacteria that were in the dish.B.He was too busy to notice.C.The spore was too small to see.D.It had never happened before, so he didn't check the dish. What factors contributed to american industrial preeminence in 1947? Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a function rule to represent it. A. 128, 64, 32, 16, ... B. 3, 3.25, 3.5, 3.75, ... write an expression with a value of 10. it should contain four numbers and two different operations Deng Xiaoping felt that the first step to modernizing Chinas economy involvedA.) allowing foreign investment.B.)instituting capitalist ideas.C.)reforming the political system.D.)restoring the education system Turning of the water while brushing your teeth saves 379 centiliters off water . how many liters of water can you save if you turn of the water while you brush three times' Which part of the government, according to the constitution, should be made up of two representatives per state? Describe the process of the mitotic spindle and microtubules throughout the steps of mitosis. What are small applications that can be accessed over the web? A.CAD software B.word processing software C.Java applets D.Video editing software 20 points!!! _____________ water falls to the lithosphere and hydrosphere. PLZ HELP ASAP! you've read two sources about celebrating Columbus day. Without going any further, discuss the question: Should we celebrate Columbus day? Does the order of amino acids in a protein matter a cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22 percent more cell phones than it did in November. In January , the company experienced its slowest month , managing to sell only 50 percent of the number of cell phones sold during the month of December. What is the total number of cell phones sold by the company during the three months combined ? Logging and fishing are two occupations belonging to which economic sector? Choose the best description for the real number 34 over 3. Irrational, because it is a fraction Irrational, because it is a repeating decimal Rational, because it is a fraction Rational, because it is a terminating decimal