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Andrew [12]
3 years ago
15

Is .111111111... a rational number? Yes or No?

Mathematics
2 answers:
Mashcka [7]3 years ago
8 0

Answer:

The answer is no this number is not rational.

Step-by-step explanation:

Because, To show that the rational numbers are dense:

It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.

NeX [460]3 years ago
5 0

Answer:

Yes, yes it is

Step-by-step explanation:

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D(n) = 8 - 6(n - 1)d(n)=8−6(n−1)
VikaD [51]

Answer: 2

Step-by-step explanation:

So you distribute the -6 to the n and -1

Resulting info d(n)= 8-6n+6

Combine the 8 and 6. Getting 14

Add 6n in both sides getting

7n=14

Divide by 7

N=2

8 0
3 years ago
An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
Liula [17]

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0
2 years ago
Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,
Y_Kistochka [10]

Answer: 13%

Step-by-step explanation:

The formula to find the simple interest is given by :-

I=Prt, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).

Given : P = $19,100 ,  I=$9932.00  and t=  4 years

Substitute all the above values in the formula , we get

9932.00=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow r=\dfrac{13}{100}=0.13

In percent , r=0.13\times100=13\%

Hence, the rate of interest = 13%

6 0
3 years ago
suppose you buy 158,000 home. you found out the bank offers 30 year loan at 6.5% APR. What will he your monthly payment
serg [7]

Answer: $998.67

Step-by-step explanation:

M = P[r(1+r)^n/((1+r)^n)-1)]

This does not include taxes, insurance, or PMI

8 0
2 years ago
Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
Read 2 more answers
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