answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
2 years ago
10

Consider the set A, of all integers from 1 to 10 inclusive (that means the 1 and the 10 are included in this set) Give a set B t

hat is a subject of A. State it's definition and lists it's elements in roster form. Then give a set C that is the complement of B.
Mathematics
1 answer:
Mademuasel [1]2 years ago
3 0

Answer:

C^{I} = {2, 4, 10}

Step-by-step explanation:

A set is a collection of objects called elements. These element are refered to as members of the set.

Set A contains all integers from 1 to 10 inclusive;

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A subset of a given set implies that every element of the subset are also elements of the given set. Set B is a subset of A;

B = {1, 3, 5, 6, 7, 8, 9}

Complement of a given set refers to elements not in the general set. Set C is the complement of B;

C^{I} = {2, 4, 10}

You might be interested in
True or False: The value of r represents the reference angle when plotting a point in polar coordinates.
timama [110]
<span>The value of r represents the reference angle when plotting a point in polar coordinates.
False
</span>
4 0
2 years ago
International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50
Tanya [424]
Cherry sales as a % of total sales = (0.5 x 1.2)/(0.5 x 1.2 + 0.2 x 1.4 + 0.3 x 1.6) = 0.6 / (0.6 + 0.28 + 0.48) = 0.6 / 1.36 = 0.4412 = 44.12%

Therefore, 44.12% of the total sales will be cherry.
8 0
2 years ago
A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Given given that

  • Lower confidence interval = 7.1
  • Upper confidence interval = 7.5
  • As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night

Average value = LCI + UCI /2 = 7.1 + 7.5 / 2

= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.

4 0
2 years ago
Cheyenne and Jacob are geocaching. They are currently hiking on a main trail at a bearing of N 45° E. They determine that the ca
gizmo_the_mogwai [7]

Answer:

1.8 miles

Step-by-step explanation:

7 0
2 years ago
(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =
frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0
2 years ago
Other questions:
  • You are given a graph that models a ball being thrown in the air. The vertical axis is the height of the ball from the ground an
    11·1 answer
  • Describe a real life multiplication situation for which an estimate makes sense
    10·1 answer
  • Finn bought 2 packs of stickers. Each pack had the same number of stickers. A friend gave him 4 more stickers. Now he has 24 sti
    9·2 answers
  • he graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. Which statement about the domain and range o
    14·2 answers
  • A pipe of diameter 64mm discharges water at a rate of 2.05mm/s into an empty cylindrical tank of diameter 7.6cm and height 2.3m.
    15·1 answer
  • A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
    8·1 answer
  • Jennet graphs the inequality Negative 6 less-than x on the number line below.
    7·1 answer
  • Harry owns a factory that makes plastic toys. Each toy is tested. If the toy is perfect, it is put into a box. The boxes are the
    13·1 answer
  • The population P(t) of a bacteria culture is given by P(t)=−1,500t2+48,000t+18,000, where t is the time in hours after the cultu
    9·1 answer
  • In the morning, Marco sold 12 cups of lemonade for $3. By the end of the day, he had earned $9. How many cups of lemonade did he
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!