PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')

A. 1
B. 2
C. 3
D. None of the above​

Answers

Answer 1

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

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Related Questions

Olivia is fixing her bicycle. She starts fixing it at 9:34 am and finishes at 1 pm. How much
time did she spend fixing her bicycle?

Answers

Answer:

3 hours 26 minutes

Step-by-step explanation:

26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes

The total time that she spend fixing her bicycle is 3 hr 26 minutes

Calculating total time

Given the following parameters

Time that Olivia starts fixing bicycle= 9:34 am

Time she finishes = 1pm

The total number of hours spent from 9:34am and 12:34pm is 3 hrs. The remaining minutes to 1 pm is 26 minutes.

Hence the total time that she spend fixing her bicycle is 3 hr 26 minutes

Learn more on time here: https://brainly.com/question/2854969

#SPJ6

A special blend of wild birds because 16.99 for 20 pounds to the nearest penny how much will 50 pounds cost

Answers

Answer:

42.475; approximately (42.48)

Step-by-step explanation:

So, first you would need to divide 16.99 by the 20 pounds and then multiply that by the 50 pounds which should give you your total answer. it should look like this:

16.99 divided  by 20= 0.8495

0.8495 times 50= 42.475; approximately (42.48)

Hope this helps you out!!! :)

What is the sign of y = £?
y
Choose 1 answer:
A
Positive
B
Negative
Zero

Answers

Answer:

I'm pretty sure is

Positive b

what is the following coordinates of (2,0) and (0,4)

Answers

Answer:

(2, 0) and (0, 4) are coordinates in the form of (x, y)

(2, 0) -> x = 2, y = 0

(0, 4) -> x = 0, y = 4

Paige earns a 5% commission on all appliance sales plus a base salary of $500 a week. Paige wants to earn $2,500 this week. Paige needs to make _____ in appliance sales this week
A: $100
B: $125
C: $40,000
D: $50,000

Answers

Answer:

C. $40,000

Step-by-step explanation:

Basic salary = $500

Expected earning this week = $2,500

Expected commission on appliance sales = $2,500 - $500 = $2,000

% commission = 5% = 0.05

Appliance sales = $2,000/0.05 = $40,000

2,500-500
= 2000
2000/0.05 = 40,000
So the answer is C

Find the missing length indicated.

Answers

Answer:

Does the answer help you?

What is the difference of the two polynomials?

(9x2 + 8x) – (2x2 + 3x)

7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x

Answers

Answer:

The answer is 7x²+5x

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Answer:

7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) - (2x^2 + 3x)

Combine like terms

9x^2 - 2x^2 = 7x^2

Combine like terms

8x - 3x = 5x

Add the two terms together

7x^2 + 5x
•••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!


0_____ is
than all negative numbers.

Answers

Answer:

is whole number

Step-by-step explanation:

plz mrk me brainliest

Answer:

0 is larger than all negative numbers.

Step-by-step explanation:

When dealing with negative numbers, the number closer to zero is the bigger number. Zero (0) has the unique distinction of being neither positive nor negative.


Find the surface area of this cylinder.
Round to the nearest tenth.
p= 5 cm
5 cm
SA = [ ? ] cm?

Answers

Answer:

314.2

Step-by-step explanation:

2πr²+2πrh

= 2×π×5²+2×π×5×5

= 100π

= 314.2 cm²

Answer:

Does the answer help you?

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Okay follow these patterns and you will always get your answer

Cone = (13)πr2h, where r is the radius and h is the height.

Cube = s2, where s is the length of the side.

Cylinder = πr2h, where r is the radius and h is the height.

Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.

Sphere = (43)πr3, where r is the radius.

ANSWER: (D) 904.78 cm^3

whats the value of x in the formula x = 2(alb) - 4c if a = 12, b =3, and a c=1?

Answers

Answer:

just input all values as told...

x = 2 (12)(l)(3) - 4(1)

so x = 72 l - 4

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x = 2(alb) - 4c}[/tex]

[tex]\huge\text{x = 2((12)(l)(3)) - 4(1)}[/tex]

[tex]\huge\text{x = 2(l)(36) - 4(1) }[/tex]

[tex]\huge\text{x = 72l - 4}[/tex]

[tex]\huge\boxed{\textsf{Answer: x = 72l - 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Round each to the nearest cent.
$1,145.343
and
$264.5176

Answers

Answer:

$1,145.343 = $1,145.34

$264.5176 = $264.52

For the first one 1145.3

For the second one 264.5

Sorry if I’m wrong

Brainliest would be nice :)

A bookstore had 81 copies of a magazine. Yesterday it sold 7\9 of them. How many copies were sold yesterday?
Write your answer in simplest form.

Answers

Answer:

63

Step-by-step explanation:

81 x 7/9 = 63

To calculate, multiply 81 x 7. Then divide that total by 9.

find the x- and y-intercept of the graph of -9x+7y=27 . State tour based as a whole number of as a improper fraction in simplest form

Answers

answer:

is this cool? or explanation?

Given that the point (-2,8) is on the graph of an equation that is symmetric with respect to the x-axis, what other point is on the graph?

(Type an ordered pair)

Answers

(-2, -8) Imagine the point (-2,8) being reflected in a mirror, where the x axis is the mirror. Since the point is 8 above the x axis, the reflected point will be 8 below.

given that S=180(n-2)
a) if n-9, find the value of S​

Answers

Answer:

1260

Step-by-step explanation:

S=180(9-2)

S=180(7)

S=1260

Answer:

S = 1260

Step-by-step explanation:

[tex]S=180(n-2) \\ n = 9[/tex]

Substitute 9 for n

[tex] S=180(9 - 2) \\ S = 180(7) \\ S = 180 \times 7 \\ S = 1260[/tex]

Which properties belong to all isosceles triangles? Check all that apply.

The base angles are congruent.
All three angles are congruent.
The two sides opposite the base angles are congruent.
All three sides are congruent.
The bisector of the vertex angle is the perpendicular bisector of the base.

Answers

3 Answers:  Choice A, Choice C, Choice E

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

Explanation:

Let's go through the answer choices to see which are true and which are false.

A) True. The base angles are the same measure, and they are opposite the congruent sides. Any isosceles triangle has exactly two congruent sides.B) False. This is describing an equilateral triangle (where all three angles are 60 degrees each).C) True. See choice A.D) False. This is describing an equilateral triangle where all sides are the same length. E) True. You can use the SAS (side angle side) congruence theorem to prove that the angle bisector is also the perpendicular bisector. Furthermore, this segment is also a median. This only applies to the vertex angle.

Answer:

The base angles are congruent.

The two sides opposite the base angles are congruent.

The bisector of the vertex angle is the perpendicular bisector of the base.

Step-by-step explanation:

The one-to-one functions g and h are defined as follows.
g={(-9, 2), (-1, -3), (2, 3), (9, 4)}
h(x) = 3x-4
Find the following.
g^-1 (2) =?
h^-1 (x) =?
(h • h^-1) (2) =?

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]g(-9)=2\Longrightarrow\ g^{-1}(2)=-9\\\\y=h(x)=3x-4\\x=3y-4\\\\y=\dfrac{x+4}{3} \\\\h^{-1}(x)=\dfrac{x+4}{3}\\\\h(h^{-1}(x))=(h^{-1}o\ h)(x)=1_\pi(x) \ (identical\ permutation\ of\ plane) \\\\h(h^{-1}(2))=2[/tex]

Please Help and thank you so much!!

Answers

The probably of getting prime is 50%=0.5=1/2

James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?

Answers

Answer:

2 packs of Burgers, 3 Packs of Buns

Answer:

He will need to buy 2 packs of burgers. And 3 packs of buns.

Step-by-step explanation:

The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24

Sabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?​

Answers

5 years hope this helps u good luck

Use the distributive property to clear parentheses

Answers

Answer:

18z + 24

Step-by-step explanation:

The distributive property is the multiplication of the number outside the parenthesis with the numbers inside.

All you need to do to solve this is to multiply 6 with 3z, and 6 with 4.

6 × 3 = 18 =

18z

6 × 4 = 24

Put them together:

18z + 24

Another way to do this:

Algebra one need help ASAP

Answers

Answer:

a=6

Step-by-step explanation:

12-2a=3(a-6)

or,12-2a=3a-18

or,12-5a=-18

or,-5a=-30

or,a=6

hope this helps

Helps me plz
a=8, b=15, c=

Answers

Answer:

c

Step-by-step explanation:

I think its c

You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?​

Answers

Answer: C) You choose account #2

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

Explanation:

Let's compute the final balance for account 1.

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of years

where in this case

P = 10,000r = 0.035 n = 4 t = 10

So with all that in mind, we get

A = P*(1+r/n)^(n*t)

A = 10,000*(1+0.035/4)^(4*10)

A = 14,169.0883793113

A = 14,169.09

Account #1 gets us $14,169.09 which is over our goal of $14,000

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

Let's repeat this idea for account 3. I'll get back to account 2 in the next section.

For account 3, we have these inputs

P = 10,000r = 0.032n = 1t = 10

leading to...

A = P*(1+r/n)^(n*t)

A = 10,000*(1+0.032/1)^(1*10)

A = 13,702.4104633564

A = 13,702.41

This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.

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

Now let's compute account 2. We'll use the continuously compounded interest formula which is

A = P*e^(rt)

The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.

I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.

So,

A = P*e^(rt)

A = 10,000*e^(0.036*10)

A = 14,333.2941456052

A = 14,333.29

This exceeds 14,000 so we can use this account.

Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.

This is why we should go for account 2.

What is the answer ? Help pls

Answers

Answer:

B. 4

Step-by-step explanation:

Given,

[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]

Since,

[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]

Then,

[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]

[tex] = > {x}^{8} = {2}^{8} [/tex]

(Since the exponents are same so the bases will be also same)

Therefore,

=> x = 2

As per condition,

[tex] {x}^{2} [/tex]

(Putting value of x = 2)

[tex] ={2}^{2} [/tex]

= 4 (Ans)

the Marked price of a book is rupees 200 if a discount of 10% is offered find the selling price of the book​

Answers

Answer:

Rs 180

Step-by-step explanation:

sp=200

discount=10%

10/100*200=20

200-20

180

The slope of the line is-
A)m=-2
B)m=-(1/2)
C)m=1/2
D)=m=2

A point on the line is-

A)(-4,-1)
B)(4,1/2)
C)(1/2,-1)
D)(1,4)

Answers

Answer:

C

D

Step-by-step explanation:

Point slope form is written in

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.

Therefore the slope is 1/2 and the point is (1,4)

Observe the below figure and answer.

Answers

Answer:

the answer is 5

Step-by-step explanation:

11 substract 6 is equal to 5

Hey help me with some math by zoom. free tutoring yeah?

Answers

Answer:

why can't you write the questions on brainly?

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