Identifying partial, strict, and total orders.
For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.
(i) The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.
(j) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| ≤ |Y|.
(k) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| < |Y|.

Answer:

Option A will be your answer

Step-by-step explanation:

hope it helps...

have a great day!!

The cube root function , has no domain restrictions. The domain of the cube root function is all real numbers, or ℝ .

The domain of a function is the complete set of possible values of the independent variable.

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

When finding the domain, remember:

The denominator (bottom) of a fraction cannot be zero.

The number under a square root sign must be positive in this section.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Domain: (- ∞ , ∞) , {x | x ∈ [tex]\mathbb{R}[/tex]}

Hence, The domain of the cube root function is all real numbers, or ℝ .

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9514 1404 393

Answer:

  a) <8.356, 9.959>

  b) <-0.605, -1.663>

  c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

  <r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

Answer:

about 18.85

Step-by-step explanation:

Answer:

3pi/ 10

Step-by-step explanation:

Enter a problem...

Trigonometry Examples

Popular Problems

Trigonometry

Find the Reference Angle (17pi)/10

17π1017π10

Since the angle 17π/ 10 is in the fourth quadrant, subtract 17π/10 from2π.

2π−17π/10

The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].

Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Angles are considered to be in standard position if the initial side is on the positive x-axis and the vertex at the (0,0) point of the Cartesian plane. All angles generated that share the same terminal side are coterminal angles. These are angles that have differences of multiples of 360n or n2pi where n is an integer.

A coterminal angle is found by simply adding or subtracting 360 and its multiples.

The coterminal angles of 20 degrees for example are 20 + 360 = 380 or 20 - 360 = -340. This may continue by adding or subtracting 360 each time.

To get coterminal angles, you simply have to add or subtract 2[tex]\pi[/tex].

According to this problem,

We are looking for a coterminal angle that is between 0 to 2[tex]\pi[/tex], so we will add [tex]2\pi \ to \ \frac{-17\pi }{10}[/tex].

= [tex]\frac{-17\pi }{10} +\frac{20\pi }{10}[/tex]

= [tex]\frac{-17\pi +20\pi }{10}[/tex]

= [tex]\frac{3\pi }{10}[/tex]

Hence,

The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].

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Answer:

Step-by-step explanation:

b + g = 8x

Answer:

1st one

Step-by-step explanation:

Step-by-step explanation:

answerss

the Last one or the 1st one but go w it the last

Answer:

d'Italia dies does did

Step-by-step explanation:

sun will use this rod hero oath his ryu

Answer:

n = 10

Step-by-step explanation:

n is the altitude of the right triangle.

Apply the right triangle altitude theorem/geometric mean theorem to find n.

Which is:

h = √(xy)

Where,

h = n =?

x = 5

y = 20

Plug in the value into the equation

n = √(20*5)

n = √100

n = 10

Answer:

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

1/4t=500lbs so 500x3=1500

Step-by-step explanation:

♨ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]

♨ [tex] \underline{ \underline{ \large{ \tt{ T\: O \: \: F \: I \: N \: D}}} }: [/tex]

☪ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

[tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram ( \: A \: )= base \: (b) \times height \: (h)}}}[/tex]

⟼ [tex] \large{ \sf{10 \: ft \times 12 \: ft}}[/tex]

⟼ [tex] \boxed{ \large \sf{120 \: {ft}^{2} }}[/tex]

☃ [tex] \boxed{ \boxed{ \large{ \sf{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{120 \: {ft}^{2} }}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

Let me know if you have any questions regarding my answer! ☄

☞ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

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Answer:

First choice: 120 ft² is a required answer.

Step-by-step explanation:

The area of the parallelogram is __________ft2.

=base ×height=10×12=120ft²

After answering the question provided, we can predict that the result will be as in the triangle by Pythagorean theorem = [tex]\sqrt{12^2 - 4^2}[/tex] => N = [tex]\sqrt{144 - 16}[/tex] => n = [tex]\sqrt{132}[/tex]

A triangle is a polygon because it includes four or so additional parts. It features a simple rectangular shape. A rectangle having edges A, B, and C is referred to as a triangle. When the sides are actually not collinear, Euclidean geometry yields a single plane and cube. If a triangle contains three parts and three angles, it is a polygon. The intersections of a triangle's three sides are referred to as its corners. The sum of a triangle's sides is 180 degrees.

by Pythagorean theorem

n = [tex]\sqrt{12^2 - 4^2}[/tex]

N = [tex]\sqrt{144 - 16}[/tex]

n = [tex]\sqrt{132}[/tex]

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Answer:

A:

Square

Rectangle

Parallelogram

Quadrilateral

Rhombus

Step-by-step explanation:

All sides and angles are equal so it is a square

All angles are 90 degrees so it is a rectangle (eliminate C)

Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)

It has 4 sides so it is a quadrilateral (eliminate B)

Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.

Opposing sides are congruent so it is a rhombus.

Answer:

The series:

This is an AP with the first term a₁ = 10 and common difference d = 6

a) Recursive formula:

b) Explicit formula:

c) n = 5 ⇒ a₅ = ?

d) S₁₇ = ?

Step-by-step explanation:

sn=15+(n-1)2

the 20th row n=20 so the seats are  

15+(20-1)(2)=53 seats

Explicit formula:

aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

Write a formula to illustrate this arithmetic sequence:

Answer:

Total Sharon spent $660 for the tv

The down payment was $210

The amount that she paid for rent after 6 months is $450

Step-by-step explanation:

To find out how much her down payment was you would need to find out how much 10% of $2,100 is which is $210, so you know her down payment was $210.

Then you would find out the total cost of rent is after 6 months so you would do 6 times $75 which is $450. So if she decides to not buy it then after 6 months she would have spent $450 to rent it.

And total she would have spent $660 which you can find out by doing $450 + $210 = $660.

Step-by-step explanation:

diagonal of a polygon formular =sum of diagonal =5-3-5/2. A triangle do not have diagonal

Answer:

Step-by-step explanation:

Answer:

12,18,24,107, [I cant see the rest]

Step-by-step explanation:

x ≥ 12

Answer:

12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

325/5= 65

2 numbers are over 65

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

3x = 6                                Divide by 3

3x/3 = 6/3

x = 2

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

Now use the second equation to solve for y

y = x - 3

y = 2 - 3

y = -1

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

The solution is (2,-1)

[tex]P(X\geq10)=P(X=10)+P(X=11)+P(X=12)=\binom{12}{10}p^{10}(1-p)^2+\cdots=73.95\%[/tex]

Answer:

the person aboce is correct ...

Answer:

(3, -2) (8,3) first box

(6,26) (2,10) second box

(5,-1) (1,1) third box

Step-by-step explanation:

You plug the left number into the equation as x and then do the math to find what y should be equal to. This number should be equal to the right number in the parenthesis.

Answer: Answer is B hope this helps

Step-by-step explanation:

Answer:

the correct answer is D. Hope it helps

Answer:

The set of five numbers would be {2,4,4,4,6}

Answer:

The example set could be:

S

=

{

2

,

4

,

4

,

4

,

6

}

See explanation.

Explanation:

First you can notice that if the set was:

S

1

=

{

4

,

4

,

4

,

4

,

4

}

then it would fulfill 2 conditions: mean and median, but

the set does not have the mode because all numbers are the same,

the range is zero (again all numbers are the same)

To have the mode the set would have to have at least one element different from

4

, but if we changed only one element the mean would change, so at least two numbers need to be changed to keep mean equal to

4

..

Now to get the range the difference between the changed numbers should be

4

. That leads us to adding two to one number and subtracting two from the other.

Finally we can get the set from the answer.

Answer:

I think it's C.

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Number of girls:

Percentage:

b) Number of students prefer watching TV:

Percentage:

Answer:

no of percentage of girls=no of girls/total ×100%

=87/150×100%=58%

percentage of the students prefer watching TV

=total no the students prefer watching TV/total std.×100%

=84/150×100%=56%