A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement

Answers

Answer 1

Answer:

AUB= {1,2,3,5,6,7,9}

AnB={1,2,3}


Related Questions

What is the value of y ?

Answers

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
The number b varies directly with the number a. For example b= 2 when a = -2
-2. Which equation represents this
direct variation between a and b?
Obra
O b = a
Ob-a= 0
Ob(-a) = 0

Answers

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27

Answers

A) Tn= a+(n-1)d = 4 + (n-1)(-3) = 4 -3n + 3 = 7-3n

B) Tn = a+(n-1)d = -7 + (n-1)(-5) = -7 -5n + 5 = -2 -5n

[a is the first term, d is the common difference]

Natalie and Warren started swimming laps in the pool at 5:47. Natalie finished swimming her laps 27 minutes later. Warren finished swimming his laps 8 minutes after Natalie. What time did Warren finish his laps?

Answers

Answer:

6:22

Step-by-step explanation:

original time minutes when they both started - 47

47+ natalie's time

47+27 =74

minus 60 minutes to account for the hour (6 o'clock)

74-60=14

natalie finished at 6:14

warren finished 8 minutes after natalie's time

14+8=22

the hour did not finish so it will remain at 6

which leaves your final answer for the time that warren finished as 6:22

(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR​

Answers

Answer:

write these time in words 3:45

What is a name for the marked angle?
Picture given

Answers

Answer:

L DAC

Step-by-step explanation:

__________________

I don't get how to do this.

Answers

Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

Answer:

[tex]426\:\mathrm{chickens}[/tex]

Step-by-step explanation:

Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:

[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.

Substituting, we get:

[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]

Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:

[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

Answers

Answer:

$600.00

Step-by-step explanation:

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

We solve using Compound Interest formula which is given as:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 per year,

Then, solve the equation for P

P = I / ((1 + r/n)^nt - 1)

P = 30 / ((1 + 0.05/1)^(1×1) - 1)

P = 30 / ((1 + 0.05)^(1) - 1)

P = $600.00

Convert r=5/3sinθ−cosθ to rectangular form.


Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.

Answers

Answer:

y = 1/3 x + 5/3

Step-by-step explanation:

For rectangular to polar

x = rcosθ ... 1

y = rsinθ ... 2

Given the expression

r=5/3sinθ−cosθ

Cross multiply

r(3sinθ−cosθ) = 5

Expand

3rsinθ−rcosθ = 5 ..3

Substitute 1 and 2 into 3

3y - x = 5

Write in slope intercept form

3y = x + 5

Divide through by 3;

3y/3 = x/3 + 5/3

y = x/3 + 5/3

y = 1/3 x + 5/3

Hence the expression in slope-intercept form is y = 1/3 x + 5/3

I have five numbers, the mean is 6, and the mode is 7 what could these numbers be?

Answers

Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

Help ASAP please!!!!!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

how to prove sinA+sin2A/1+cosA+cos2A=tanA​

Answers

Answer:

my answer is in this picture. sorry about my handwriting.

Hope you will understand : )

Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?

Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210​

Answers

Answer:

the answer is the third option

Step-by-step explanation:

I kinda need help

What is the fraction 1/4 in decimal form?


I need help with this one to

Solve 3^3

Answers

Answer: easy

Step-by-step explanation: 0.25 there

what is f(0) for the function f(x) =2x+3

Answers

Answer:

3

Step-by-step explanation:

f(x) =2x+3

Let x=0

f(0) =2*0+3

Multiply

f(0) =0+3

Add

f(0) =3

Answer:

3

step-by-step explanation

f ( x ) = 2 x + 3

f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )

multiply

f ( 0 ) = 0 + 3

Add the numbers

f ( 0 ) = 3

Use completing the square to solve this quadratic equation. Check all that apply.
x + 10x + 25 = 2 D

A. x = 5+ m2

B. x = 5 - 12

C. x= -5 +_2

D. x= -5-2​

Answers

Answer: x= -5+ 2 squared.

Step-by-step explanation:

MATH HELP PLEASE DUE SOON

Answers

Answer:

a. Alternate exterior angles.

b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.

c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.

Using the graph, determine the coordinates of the vertex of the parabola.

Answers

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

ASAP!!!!!! Factor the trinomial x^2 + 7x + 12

Answers

= (x + 3)(x +4) or (x + 4)(x +3)
(X+3)(x+4)
Is the answer

there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime

Answers

Answer:

the difference is 39? for the answer

Step-by-step explanation:

The question is not exactly worded in such a way that one can tell how it should be answered.

If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are

17 + 23

37 + 3

11+ 29

So the difference between 37 and 29 = 8

There are no guarantees about this answer. I'm just doing it the way the question reads.

Edmund and Lucy go to a toy shop. Edmund does not have enough money to buy the toy he wants. He says to Lucy, 'If you give me ₹ 40, I can buy my toy. But you will have ₹ 10 less to buy your toy." How much money does Lucy have?

Answers

Answer and explanation:

Assuming Edmund has $0

From Edmund, we know the toy costs $40(assuming it's in dollars)

Lucy gives him $40 and has $10 less($40-$10) to buy her own toy

Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.

Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy

A man borrows Rs. 50000 at 12% p.A., compounded half-yearly. He pays back Rs. 18000 at the end of every six months. Calculate the third payment, he has to make to clear the entire loan

Answers

Answer:

Rs. 20246

Step-by-step explanation:

According To the Question,

Given, A man borrows Rs. 50000 at 12% per Annum(compounded half-yearly). Thus the Rate of Interest for 6 months would be 6%. Now, He pays back Rs. 18000 at the end of every six months.

Thus, the third payment, he has to make to clear the entire loan.

First-Payment = ( 50000 x 1.06 ) - 18000  ⇔  35000 Rs.

Second-Payment = (35000 x 1.06) - 18000  ⇔ 19100 Rs.

Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.

I need help with this

Answers

7/10= 28/40

5/8=25/40

0.8=4/5=32/40

32>28>25

So 0.8>7/10>5/8

add the following decimals​

Answers

Answer:

148.91

Step-by-step explanation:

hope it helps<333

0.16 which number is in the hundreds place​

Answers

The 6 is in the 100ths place

Answer:

A decimal is always placed in this order :

thousands, hundreds, tens, separator, tenths, hundredths, thousandths.

In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.

The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?

Answers

Answer:

It b

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

I did the test

A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.

Answers

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

Which expression is equivalent to f+f+8ff+f+8f?

Answers

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f

Graph the picture nes whose equation is 2y=-3x-2

Answers

Answer:

Picture Below

Step-by-step explanation:

You can simplify it by dividing it into

y = -1.5x-1

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