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3 years ago

Prove that A is in the subset B if P(A) is in the subset P(B)

1 answer:

5 0

Show that if p(a) ⊂ p(b) then a ⊂ b.

<span>I will assume p() means power set. </span>

<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the h

Mama L [17]

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

<h3>Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. </h3>

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft) h(ft)

0 2.5

50 25

100 42.5

150 55

200 62.5

250 65

300 62.5

350 65

400 42.5

See attachment for the graph of Juan's function

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

<u>Barry</u>

From the graph, we have the table of values of Barry's function to be:

d (ft) h(ft)

0 2.5

50 21

100 35

150 44

200 48

250 46

300 41

350 30

400 14

450 0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

<h3><u>The shortest and the greatest distance before hitting the ground</u></h3>

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

<h3>The height the balls hit a fence at 350 ft distance</h3>

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

Read more about quadratic functions at:

brainly.com/question/12446886

#SPJ1

4 0

2 years ago

A parallelogram is___a rhombus.<br><br> 1. always<br> 2.sometimes<br> 3.never

musickatia [10]

I will mark brainlist please help

Story : A Dog’s Tale by Mark Twain

4. Read this sentence from the selection.

“Whenever she heard a large word she said it over to herself many times, and so was able to keep it until there was a dogmatic gathering in the neighborhood.”

In this sentence the word dogmatic is used as —

• an insightful simile
• a descriptive metaphor
• a humorous play on words
• an illuminating allusion

5. In the last paragraph the narrator says his mother would “fetch out a long word.” The connotations of the word fetch remind the reader that the narrator’s mother —

• is well educated
• is a dog
• knows lots of big words
• likes to show off

8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?

• Her child knew she didn’t understand the word correctly.

• The strangers all already knew the meaning of the word.

• As any intellectual would know, the word should be “nonintellectual.”

• She did not know any synonyms for the word.

9. Which type of person is most like the author’s mother?

• A high-performing student with an excellent memory for words

• A very verbal person who always has a quick answer that sounds good

• A dishonest person who tells lies on a regular basis

• A person who likes dogs a lot and works at a veterinary clinic

4 0

3 years ago

Read 2 more answers

The square root of -108 minus the square root of -3

Lady_Fox [76]

square root(-108) - square root(-3) =8.66025404 i

6 0

3 years ago

Please help me i can’t get this one right. someone help me please if you know how to do this.

Sati [7]

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

4 0

3 years ago

As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many diff

frozen [14]

Answer:

$15,120$

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of $9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}$ permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

8 0

3 years ago

Read 2 more answers