1answer.
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
bagirrra123 [75]
3 years ago
7

Prove: Every point of S=(0, 1) is an interior point of S.

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

Proved

Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

Then c has a neighbourhood which contains atleast one point not in (0,1)

Let d be the point which is in neighbourhood of c but not in S(0,1)

Then the points between c and d would be either in (0,1) or not in (0,1)

If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.

Then we find that dn is a boundary point of S

But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.

Every point of S=(0, 1) is an interior point of S.

You might be interested in
A que conjunto pertenece el 12​
Verizon [17]
Mande???

The answer is 12
7 0
3 years ago
A Ferris wheel rotates 9π/8 radians prior to making a stop. The total height of the Ferris wheel is 246 ft. How far around did t
WARRIOR [948]

Answer:

The ferris wheel travelled 434.717 ft.

Step-by-step explanation:

Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:

radius = height/2 = 246/2 = 123 ft

The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:

length = r*(angle in radians)

length = 123*(9pi/8)

length = 434.717 ft

The ferris wheel travelled 434.717 ft.

5 0
3 years ago
Help pls 70 points :’(
aleksandrvk [35]

Answer:

7.) 18.86m

8.) 15 inches

9.) 32 and 34

10.) 21 and 29

11.) change all the decimals in the equation into fractions.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
Lostsunrise [7]

Answer:

Given the function in the question

f(x) = |x-3| + 2

a) state the name of the function

  Absolute value function

  since it is similar to f(x) = |x|

b) identify the independent and dependent variable  

x = independent variable (input variable)

f(x) or y = dependent variable  (output variable)

The variable which we assign the value we call the independent variable,    and the other variable is the dependent variable, since it value depends on  the independent variable.

c) identify the rule

A function is an equation that has only one answer for y for every x.

d) evaluate the function

given x = -5

 f(-5) = |-5 - 3| + 2

        = |-8| + 2

        = 8 +2

        = 10

8 0
3 years ago
What is the Value of d
Xelga [282]

Step-by-step explanation:

\sqrt{4 \times 9 \times 16}  =   \sqrt{4}  \times   \sqrt{9}  \times  \sqrt{16}  = 2 \times 3 \times 4 = 24

7 0
3 years ago
Other questions:
  • A bank account for Sally's Sandwich Shop has a balance of $2,398.66. The business has the following expenses: rent $1,165.22, el
    8·1 answer
  • What is the answer?
    7·1 answer
  • What would the domain of this be in interval notation?
    10·1 answer
  • the shadow of a man who is 1.80m tall is 3.90 m long. if at the same the shadow of trees is 5.20m long. how tall the tree is?​
    6·1 answer
  • Find the 10th term in a sequence whose general term is an = n2 – 8. Question 7 options: A) 92 B) 108 C) 12 D) 113
    12·2 answers
  • 206,690 subtracted by -232,500
    14·2 answers
  • Michelle bought a new calculator for math class. It cost $17.25. The
    8·1 answer
  • PLEASE HELP, WILL GIVE BRAINLIEST
    9·1 answer
  • What is the surface area of a right circular cylinder with a diameter of 14 meters and a height of 9 meters
    12·1 answer
  • How do you do this then? (higher tier maths GCSE)​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!