Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-roster notation.)

Answers

Answer 1

Answer:

(B n C) = {b,c}

A = {a,b,c}

B= {b,c,d}

C= {b,c,e}

A u (B n C) = {a,b,c}

(A u B) = {a,b,c,d}

(A u B) n C = {b,c}

(A u C) = {a,b,c,e}

(A u B) n (A u C) = {a,b,c}

Answer 2
a. A U (B n C)
B n C = {b,c}
A = {a,b,c}
A U (B n C) = {a,b,c} U {b,c} = {a,b,c}

b. A U B = {a,b,c} U {b,c,d} = {a,b,c,d}

c. (A U B) n (A U C)

A U B= {a,b,c,d}
A U C= {a,b,c,e}

(A U B) n ( A U C)

➡️ {a,b,c,d} n {a,b,c,e}

➡️ {a,b,c}

Related Questions

Express 2 minutes as a percentage of 5 minutes.

Answers

Answer:

40%

Step-by-step explanation:

2 / 5 = 0.40

0.40 x 100 = 40%

In parallelogram LMNO, what is the measure of angle M? please helppppp

Answers

Answer:

80 degrees

Step-by-step explanation:

First find the the angles N and L:

5x=3x+40

2x=40

x=20

m<N= 100 m<L=100

Now we know that the sum os all Interior angles of a parallelogram is 360

and you know that opposite sides are equal

hence,

2y= 360-2(100)   y being angle M (or o)

2y= 160

y=80

Question 12 (5 points)
Determine the value of x

0.28 units
0.98 units
3.58 units
1.12 units

Answers

Answer:

1.12 Units

Step-by-step explanation:

1. Use cos(56°) = x/2

Make sure your calculator mode is in deg (degree) not rad(radians)

2.  2(cos(56°)) = x

3. x = 1.118385807

4. Round up to get 1.12 Units

Use expression and the unit grid below to answer the question .

Answers

0.24 divided by 3 is 0.08 I do not understand the question

The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?

Answers

Answer:

v = m/d

Step-by-step explanation:

since

[tex]d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} [/tex]

The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.

Answers

Answer:

Step-by-step explanation:

Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).

what are the x- intercepts of the function f(x)= -2x-3+20?

Answers

Answer:

x = .464

Step-by-step explanation:

Assumptions: Equation is [tex]-2x^3+20[/tex]. Thus having an asymptote at the value x=0.

To solve for the x-intercepts, we plug in 0 for f(x).We can subtract 20 from both sides, leaving us with [tex]-20 = -2x^-3.[/tex]We can divide both sides by -2. [tex]10=1/x^3[/tex].Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. [tex]10x^3=1[/tex].We now divide both sides by 10 and take the cube root. Leaving us with x = [tex]\sqrt[3]{1/10}[/tex] or .464. (One x-intercept.)

PLEASE I NEED THIS NOW 50 POINTS
Write your answer as a function
Andy is wrapping gifts for his family. He ties 25 inches of ribbon around each gift. Which function gives the relationship between the number of
gifts (g) and the length of ribbon used (9)?
The function representing the relationship between the length of ribbon and the number of gifts is ?

Answers

25g = r , i think.

I would give an explanation but you seem in a hurry! Have a good day and good luck!

Please solve the question attached:

Answers

Answer:

magnitude is 4.5 lb, and the direction is given by the angle 250°.

Step-by-step explanation:

We can see that the magnitude is 4.5lb (it is already written in the graph, the "distance" between R and T).

To find the angle, remember that the angle is measured counterclockwise from the positive x-axis.

We can see that the angle, measured clockwise, is 110°

And the angle of a complete revolution is 360°

The sum of the angle measured clockwise and the angle measured counterclockwise should be equal to 360°

Then the angle, measured counterclockwise is given by:

360° - 110° = 250°

Then the magnitude is 4.5lb, and the direction is given by the angle 250°.

Which equation represents a line which is parallel to the line y=3x–8

Answers

Answer:

The equation of line which is parallel to the given line is y =  3 x + k.

Step-by-step explanation:

The equation of the line is

y = 3 x - 8

Compare with the standard equation

y = mx + c

The slope of line is

m = 3

So, the line parallel to the given line is

y = 3 x + k

where, k is any real number.

Find the product
(7x^2y^3)(3x^5y^8)

Answers

Step-by-step explanation:

First, we put the expressions in multiplication form:

(7x2y3)×(3x5y8)(7x2y3)×(3x5y8)

We multiply like terms:

(7x2×3x5)(y3×y8)(7x2×3x5)(y3×y8)

We multiply the coefficients and add the exponents:

21x2+5y3+821x2+5y3+8

Solving, we obtain:

21x7y11

Hello!

[tex]\large\boxed{21x^7y^{11}}}[/tex]

(7x²y³)(3x⁵y⁸)

Multiply by ADDING exponents with the same base:

(7 * 3) (x² * x⁵) (y³ * y⁸)

21 * x² ⁺ ⁵ * y³ ⁺ ⁸

Simplify:

21 * x⁷ * y¹¹

21x⁷y¹¹

PLS HELP SOON WILL MARK BRAINLYEST

A railroad tunnel is shaped like a semi-ellipse, as shown below. A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis. The height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse.

Answers

According to the question

b= 35 and (8,21) lies on the ellipse

After calculation we get a= 10

equation for the ellipse.

[tex] \frac{ {x}^{2} }{100} + \frac{ {y}^{2} }{1225} = 1[/tex]

product of (n+bv^2) (5n+3bv2)

Answers

Answer:

5n² + 8bnv² + 3b²v^4

Step-by-step explanation:

(n+bv²) (5n+3bv²)

5n² + 3bnv² + 5bnv² + 3b²v^4

5n² + 8bnv² + 3b²v^4

The length of a rectangle is 7 ft less than three times the width, and the area of the rectangle is . Find the dimensions of the rectangle.

Answers

Answer:

See explanation

Step-by-step explanation:

the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.

Width = x

Length = 3x - 7

Area of a rectangle = length × width

180 = (3x - 7) * x

180 = 3x² - 7x

3x² - 7x - 180 = 0

Using quadratic formula

a = 3

b = -7

c = -180

x = -b ± √b² - 4ac / 2a

x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)

x = 7 ± √49 - (-2160) / 6

= 7 ± √49 + 2160 / 6

x = 7 ± √2209/6

= 7 ± 47 / 6

= (7 + 47)/6 or ( 7 - 47)/6

= 54/6 or -40/6

x = 9 or -6.67

x cannot be negative

Therefore,

x = 9 ft

Width = x = 9 ft

Length = 3x - 7

=3(9) - 7

= 27 - 7

= 20 ft

Abraham set the table for a picnic using round plates. Each plate has a diameter of 8 inches. What is the area of each plate?

Answers

Answer:

50.265

Step-by-step explanation:

Area is radius square times pi. Radius is half of diameter .Diameter is 8 inches. Radius is 4 inches. 4 squared is 16. 16 times pi is 50.265


find the angles of the triangle if they are proportional to the following 3 4 5

Answers

Answer:  90,  and 1600 degrees.2500

Step-by-step explanation:

If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X

Step-by-step explanation:

Answer:

45  60  75

Step-by-step explanation:

Let's call the angles 3 x , 4 x and 5 x

They must add up to 180 o in a triangle, so:

3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:

3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:

45 + 60 + 75 = 180

What is the nth term rule of the quadratic sequence below?
8,14,22,32 ,44, 58, 74...

Answers

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

I need help I’m rubbish at maths and I really don’t know

❤️❤️

Answers

Answer:

160 cm³

Step-by-step explanation:

→ Write down the formula for the volume

Length × Width × Height

→ Find each value

Length = 4, Width = 4 and Height = 10

→ Substitute into formula

4 × 4 × 10 = 160 cm³

the sum of the squares of two positive integers is 183 if one integer is 3 less then the other, find the larger integer

Answers

Answer:

I believe the question is incorrect

Step-by-step explanation:   7  1  17  02

take the english statement and convert it to math

sum of the squares of two positive integers is 183      x² + y² = 183

one integer is 3 less than the other     x = y - 3      x is three less than y  

find the larger integer   use the two equations to solve for y the larger number

x² + y² = 183 and x = y - 3

(y - 3)² + y² = 183

y² - 6y + 9 + y² = 183

2y² - 6y = 182 - 9

2y² - 6y = 173  

2y² - 6y - 173  = 0  

this equation does not result in an integer

2y² - 6y - 173 = 0

Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice

Answers

Answer:

2/6 chance the dice be rolled to the total of 12

Help me solve this problem please

Answers

Answer:

C: 165mi, 40mi, 115mi

Step-by-step explanation:

hope it helps :)

165mi 40 mi 115mi hope i can help

to move a function, you need to___it.

Answers

Answer:

shift

Step-by-step explanation:

shift

You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money did you make?

Answers

Answer:

15 x 150 = 2250

2250 + 1000 = 3250

you make $3250,00

Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1$, 0, or 1. How many distinct lines pass through at least two members of $S$

Answers

Answer:

20 Lines

Step-by-step explanation:

According to the Question,

Given That, Let S be the set of points (a, b) in the coordinate plane, where each of a and b may be -1, 0, or 1.

Now,  the total pairs of points which can be formed is 9

And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36

Here, We have overcounted all of the lines which pass through three points.

And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times

Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.

Therefore, the distinct lines pass through at least two members of S is 3 horizontal, 3 vertical, and 2 diagonal lines, so the answer is 36 - 2(3+3+2) = 20 Lines

help me pls i don't get thisggg

Answers

Answer:

9. A. 2

Rectangle R:

Length = LWidth = W

Rectangle S:

Length = 2LWidth = 2W

Rectangle Area:

Rectangle R = L · W

Rectangle S = 2L · 2W = 2(L · W)

10.  A. (1, 3)

y = x + 2y = -2x + 5

x + 2 = -2x + 5

x + 2x = 5 - 2

3x = 3

x = 1

y = x + 2 = 1 + 2 = 3

Doug split a magic cards so that he and his friends each got 6 cards.if there were 24 cards in the pack how many friends did Doug share the cards with

Answers

Answer:

Doug share the cards with his three other friends.

Step-by-step explanation:

If there were 24 cards and each person was suppose to get 6

24 ÷ 6 = 4

The cards were shared among 4 people including Doug himself.

Have a nice day :)

PLZ HELP ASAP!! NO FILESSSSSSSS

Answers

The closer to 1 the r value the closer the dots make a straighter line.

A positive value the distance move up to the right, a negative value the dots move down to the right.

A = r = -0.33

B = r = -0.75

C = r = 0.72

D = r = 0.89

what’s the answer? how do I solve this?

Answers

Answer:

39.96 is what I think is the answer :)

Find the measure of the missing angle using the triangle angle sum theorm

Answers

Answer:

31°

Step-by-step explanation:

The theorem states that all angle sums of any triangle add up to 180°.

128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.

If three children equally share half loaf of bread among themselves, what fraction will each get?​

Answers

Answer:

1/6 of the bread

Step-by-step explanation:

Given data

Let the amount of the loaf of bread be 1

But they are expected to share half

hence the amount to be shared is= 1/2 bread

The number of children is 3

Hence

=1/2/3

=1/2*1/3

=1/6 bread

Hence each child will get 1/6 of the bread

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