Sets L and M are defined as follows.
L={-1,1,4,5,7,8)
M={1,2,7)
Answer each part below. Write your answer in roster form or as Ø.
(a) Find the union of L and M.

(b) Find the intersection of L and M

Answers

Answer 1

Answer:

the union of l and m is minus 1,1,2,4,5,7,8.....and the intersection of l and m is 1.......


Related Questions

From -13°C to 15°C.
a. -28°C
b. -2°C
C. 28°C
d. 2°C

Answers

ccccccccccccccccccccccc

Answer:

Option B

-13°c-2°c= 15°c

hope it helps

graph inequality by shading like x< 3 is shaded to right or left ? of 3

Answers

Answer:

x<3 means x is less than 3.

Think about a number line, the more left you go, the smaller the numbers get.

So, to represent x<3, you would shade to the left.

Let me know if this helps!

2) 70 = -7a

Please help me !

Answers

70 = -7a
a = x
70 = -7x
70 = -7 X x
70 = -7 X -10
Answer
x = -10
x = a
a = -10

-(-)=+
-(+)=-
+(+)=+
+(-)=-

Positive Multiplied Or Divided By A Negative Will Always Be A Negative.

Positive Multiplied Or Divided By A Positive Will Always Be A Positive.

Negative Multiplied Or Divided By A Negative Will Always Be A Positive.

Negative Multiplied Or Divided By A Positive Will Always Be A Negative.

Subtract.
7x2 - 5x+3
(2x² + 7x-4)

Answers

Answer:

7×=14

5×3=15

5+3=8

7×4=28

7-4=3

2×2=4

if add this all will get the answer as 72

if we will subtraction answer will be as -44

Step-by-step explanation:

so we will get the answer as

addition = 72

subtraction= -44

so this is the answer

please give me points

The art teacher bought 19 sketchbooks for $2.98 per book. What equation can be used to find the total cost of the sketchbooks?

Answers

Answer:

y = 2.98x

Step-by-step explanation:

x = number of sketchbooks

y = total cost

In parallelogram ABCD,AB^4+AD^2+AB^2*AD^2=AC^2*BD^2.If angle ABC=x,find the product of all possible values of x

Answers

Answer:

Hello,

Step-by-step explanation:

AB=DC=b, AD=BC=a

p=BD, q=AC

angle ABC=x

[tex]AB^4+AD^4+AB^2*AD^2=AC^2*BD^2\\\\b^4+a^4+b^2a^2=(a^2+b^2+2abcos(X))(a^2+b^2-2abcos(X)\\\\(a^2+b^2+2a^2b^2)-a^2b^2=((a^2+b^2)^2-4a^2b^2*cos^2(X))\\\\\\4a^2b^2cos^2(X)=a^2b^2\\\\\\cos^2(X)=\dfrac{1}{4} \\\\(cos(X)-\dfrac{1}{2} )(cos(X)+\dfrac{1}{2} )=0\\cos(x)=\frac{1}{2} \ or\ cos(X)=\dfrac{-1}{2} \\\\\\X=60^o =\dfrac{\pi}{3} rad \ or \ X=120^o=\dfrac{4\pi}{3} rad\\\\\\\\Product=\dfrac{\pi}{3}*\dfrac{4\pi}{3} =\boxed{\dfrac{4\pi^2}{9}}\\[/tex]

In a mathematics class, half of the students scored 86 on an achievement test. With the exception of a few students who scored 46, the remaining students scored 77. Which of the following statements is true about the distribution of scores

Answers

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Say there was 20 kids: 10 kids(half) scored 86's, 3 kids(a few) scored 45's, and 7 kids(the remaining) scored 77's.

The median would be- 81.5 (chronological order, find the middle number)

The mean would be- 76.85 (sum of all the scores divided by the number of scores)

The mode would be- 86 (most frequent number)

The mean(76.85) is less than(<) the median(81.5)

on a 25 square grid how many squares need to be shaded to make 60% shaded

Answers

Answer:

15 squares

Step-by-step explanation:

60/100 * 25 = 15

Find the surface area of the figure below round your answer to the nearest tenth in necessary

Answers

Answer:

1548.3 [tex]m^{2}[/tex]

Step-by-step explanation:

Answer:

A = 1548.3 m²

Step-by-step explanation:

3x²+12x-15=0 factrozation method quadratic equations​

Answers

Answer:

x = -5 or x = 1

Step-by-step explanation:

[tex] 3{x}^{2} + 12x - 15 = 0 \\ {x}^{2} + 4x - 5 = 0 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1[/tex]

hope this makes sense:)

An art teacher has 60 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each
student get? Write the answer as a mixed number.

Answers

Answer:

60.5/25

2 21/50

Step-by-step explanation:

60.5/25

Equals

2 21/50

A ping pong ball is drawn at random from an urn consisting of balls numbered 2 through 10.A player wins 5 dollars if the number on the ball is odd and loses 5 dollars if the number is even. What is the expected value of his winnings? Round to 3 decimal places.
A card is drawn at random from a standard deck of playing cards (no jokers). If it is red, the player wins 1 dollar; if it is not red, the player loses 5 dollars. Find the expected value of the game.
In a class there are 16 students: 2 are 5'6", 3 are 5'8", 3 are 5'10", 4 are 6', and 4 are 6' 2". A student is chosen at random. What is the student's expected height in inches? Round to the nearest tenth of an inch. ​

Answers

19.2 inchesㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

9balls with 5 even number and 4 odd numbers, each has a chance to be drawn equally so 1/9, exp = +5*1/9 (ball3)+5*1/9(ball5)…-5*1/9(ball2)-5*1/9( ball4)… = sum of all wining * odd probability + sum of all losing * even probability: 5*4/9+(-5)*5/9, which is - 5/9 dollars or -0.556 dollars. (Should be really called expected value of his losing s)

Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
m is perpendicular to p

Answers

9514 1404 393

Answer:

m = j +kn = 2i +k

Step-by-step explanation:

There are an infinite number of possibilities. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

  m·p = 0 = 0×1 +1×2 +a(-2)   ⇒   0 = 2 -2a   ⇒   a = 1

m = 0i +1j +1k

__

Let n = 2i +0j +bk

  n·p = 0 = 2×1 +0×2 +b(-2)   ⇒   2 -2b = 0   ⇒   b = 1

n = 2i +0j +1k

For U.S. adult males, the mean height is 174 cm with a standard deviation of 5 cm and the mean weight is 86 kg with a standard deviation of 10 kg. Elmer is 185 cm tall and weighs 102 kg. It is most nearly correct to say that

Group of answer choices

Elmer's weight is more unusual than his height

Height has more variation than weight

Elmer's height is more unusual than his weight

Height and weight have the same degree of variation

Answers

Answer:

The answer is

Height and weight have the same degree of variation

Answer:

The Answer. is height and weight have the same degree of variation.

HELP PLS! :)

In ΔABC, AB = 10 and BC = 5. Which expression is always true?

A. AC = 10
B. 5 < AC < 10
C. AC = 5
D. 5 < AC < 15

Answers

Answer:  D.  5 < AC < 15

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

Explanation:

AB = 10 and BC = 5 are two sides of triangle ABC. The third missing side is AC. We don't have enough information to determine the exact length of AC, but we can narrow things (a bit) to get a range of values.

Through a modified version of the triangle inequality theorem, if we had sides a = 10 and b = 5, then the third side c is restricted like so

a-b < c < a+b

10-5 < c < 10+5

5 < c < 15

This then means that 5 < AC < 15 is the compound inequality that tells us the range of values for side AC. It says that AC is between 5 and 15 units long. Side AC cannot be 5 units exactly, and it can't be 15 units exactly either. I recommend cutting out slips of paper to try this out yourself, and you'll see it's not possible to have something like AC = 15.

So that's why choice D is the answer. Choice A is true, because 10 is between 5 and 15, but it's not the only possible value for AC. There's more to the story. That's why I'm thinking choice D is the better answer. It encapsulates all possible lengths of AC.

the image is located below

Answers

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

find the least number that can be divided 9and 12 without leaving remainder​

Answers

Answer:

By finding LCM of 9 and 12 the answer is 36

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Find the assessed value of a store with a market value of $ 163,000
if the rate for assessed value is 25​% of market value.

Answers

9514 1404 393

Answer:

  $40,750

Step-by-step explanation:

Leaving out the extra words, the question is asking you to find 25% of $163,000.

  0.25 × $163,000 = $40,750

The assessed value is $40,750.

Given that,

→ Rate for assessed value = 25%

→ Market value = $ 163,000

We have to find,

→ 25% of $ 163,000

Then value of 25% is,

→ 25 ÷ 100

→ 0.25

Let's find the assessed value,

→ 25% × $ 163,000

→ 0.25 × 163,000

→ 40750

Thus, $ 40750 is assessed value.

Complete the table for the given rule.
Rule: y is 0.75 greater than x
x y
0
3
9

Answers

The complete table is

x    y

0    0.75

3     3.75

9     9.75

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

What is substitution?

Substitution means putting numbers in place of letters to calculate the value of an expression or equation.

According to the given question.

We have values of x.

Also, one rule that y is 0.75 greater than x.

So, we have a equation for finding the value of y  i.e.

[tex]y = x + 0.75..(i)[/tex]

For finding the value of y

At x = 0, substitute x = 0 in equation (i)

[tex]y = 0 + 0.75\\\implies y = 0.75[/tex]

At x = 3, substitute x = 3 in equation (i)

[tex]y = 3+0.75\\\implies y = 3.75[/tex]

At x = 9, substitute x = 9 in equation (i)

[tex]y = 9+0.75\\\implies y = 9.75[/tex]

Hence, the complete table is

x    y

0    0.75

3     3.75

9     9.75

Find out more information about equation and substitution here:

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The total money earned if we sold for scarves at $20 each

Answers

Answer:

below

Step-by-step explanation:

Depending on the amount of scarves you sell, you will multiply that amount to $20 since that is the unit rate. For example, if you sold 5 then you would multiply; 20 * 5 = $100.

Best of Luck!

Answer:

Say t is the total money and x is the number of scarfs sold your equation would look like, t=20x

You could find the total amount of money earned by putting in the number of scarfs sold in x's spot.

I have a math test it’s 10 questions and I have 20 mins to complete it. who can help??

Answers

Why

Do

You

Need

People

To

Do

It

For

You

Given equation of a circle: x^2 – 4x + y^2 + 6y = 12 rewrite it in a standard form. Find its radius and coordinates of its center. Standard Form:_____

r:_____

Center:____

Answers

Answer:

The standard form is:

(x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius

Convert the given into standard form by completing square:

x² - 4x + y² + 6y = 12x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9(x - 2)² + (y + 3)² = 25(x - 2)² + (y + 3)² = 5²The standard form is above.The center is (h, k) = (2, -3)The radius is r = 5

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 1 inches less than 3 times the perimeter. Find the length and width of the rectangle.

Answers

Answer:

The length is 13, when the width is 11

Step-by-step explanation:

The width is x, when the length is x+2. The area is x(x+2)= x^2+2x.

The perimeter is (x+x+2)*2= (2x+2)*2=4x+4

THe thrre times perimeter is 3(4x+4)= 12x+12

x^2+2x= 12x+12-1

x^2+2x-12x-11=0

x^2-10x-11=0

x=-1 (not suitable); x=11 - the width

The length is 11+2=13

I really need help with this one

Answers

Hi, I hope this helps:

FG + GH = FH
3x + 4x = 14
7x = 14
14/7 = 2
x= 2

find a factor of 5, 15 and 25​

Answers

a common factor of 5, 15 and 25 is 1 and 5

please help me đáp án của nó là gì help me thanks you very much

Answers

my day has been going good

Discussion Topic
29
The most important component of a physical structure is a solid foundation on which the
rest of the structure sits. A strong foundation allows buildings to last longer and withstand
many outside forces.
Just like the foundation of a building, a strong foundation for algebra is critical for success
and allows you to extend your understanding to more complex mathematical and real-
world situations. What are some of the foundational, or key, concepts of algebra that you
have learned so far?

Answers

We have that with a brief introduction to Algebra you are required to You are to refer to your curriculum and teachings and discover the foundational, or key, concepts of Algebra that you  have learned so far and  structure its respectively as you have learned

For This Question you are a asked to highlight what the are the foundational and  key concepts of algebra

So you are tasked to refer to your Notes and pick out the  foundational, or key, concepts of algebra that you  have learned so far according to your curriculum.

Algebra

This is a branch of mathematics that strictly focuses on mathematical Operator or Arithmetic operators and how the are used in there variant ways or combined to solve problems.

Mathematical  Operators(-,+,/,*)

To Identify some fundamental and  key concepts of Algebra like there use in

ExpressionsEquationsUsed in Graph plotsUsed to resolve Inequalities on the Number line.These are Few key concepts where  Algebras feature.

In conclusion

You are to refer to your curriculum and teachings and discover the foundational, or key, concepts of Algebra that you  have learned so far and  structure its respectively as you have learned.

For more information on this visit

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Answer:

Some of the foundational key concepts I have learned from algebra so far are: we have learned Expressions, Equations, we have Used Graphs, we have learned how to resolve Inequalities on the Number line, I have learned how to do variables, constants, linear equations, and quadratic equations. those are just very few examples of things me and so many have learned so far in Algebra.

Step-by-step explanation:

if 2/-5 x=-10/x what is the value of x​

Answers

Answer:

± 5

Step-by-step explanation:

2x/-5 = -10/x

2x^2 = 50

x^2 = 25

x = ± 5

Answer:

x=5

Step-by-step explanation:

Start with writing it like 2x/-5= -10/x

Then cross multiply: 2[tex]x^{2}[/tex]= 50

Divide by 2: [tex]x^{2}[/tex]=25

Square root of 25: 5

x=5

Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?

The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Answers

Answer:

Step-by-step explanation:

(D). The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

The location of the points A' and B' after dilation is Option(D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

What is dilation of a line segment ?

The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1, the image of line segment will be larger than the original line, and if the scale factor is less than 1 , the image will be smaller than the original line.

How to find the coordinates of the points by dilation of given line segment ?

The original line segment is given in the figure with points A and B as A(0,2) and B(2,0) .

When the line segment is dilated by a scale factor of 3, we can draw a parallel line which will be larger than the pre-image of the original line segment.

Also, the new coordinates of the points A and B will also increase by a factor of 3.

Therefore, we have A'(0,6) and B'(6,0) as the new coordinates of the line segment.

Thus, the location of the points A' and B' after dilation is Option(D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

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I need help with number 4

Answers

Answer:  Choice D

[tex]f^{-1}(x) = (x-3)^2+2\\\\[/tex]

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

Explanation:

First we replace f(x) with y. This is because both y and f(x) are outputs of a function.

To find the inverse, we swap x and y and solve for y like so

[tex]y = \sqrt{x-2}+3\\\\x = \sqrt{y-2}+3 \ \text{ .... swap x and y; isolate y}\\\\x-3 = \sqrt{y-2}\\\\(x-3)^2 = y-2 \ \text{ ... square both sides}\\\\(x-3)^2+2 = y\\\\y = (x-3)^2+2\\\\f^{-1}(x) = (x-3)^2+2\\\\[/tex]

Note: because the range of the original function is [tex]y \ge 3[/tex], this means the domain of the inverse is [tex]x \ge 3[/tex]. The domain and range swap roles because of the swap of x and y.

As the graph shows below, the original and its inverse are symmetrical about the mirror line y = x. One curve is the mirror image of the other over this dashed line.

Answer:

D

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\sqrt{x-2}[/tex] + 3 ( subtract 3 from both sides )

y - 3 = [tex]\sqrt{x-2}[/tex] ( square both sides )

(y - 3)² = x - 2 ( add 2 to both sides )

(y - 3)² + 2 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = (x - 3)² + 2 → D

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