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fenix001 [56]
3 years ago
8

The decimal 0.3(repeating) represents 1/3. what type of number best describes 0.9(repeating), which is 3 times 0.9(repeating)? e

xplain.
Mathematics
2 answers:
Dima020 [189]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that the decimal 0.3 (repeating) represents \frac{1}{3}

We are to find out the value 0.9(repeating) using the above.

Since 0.9999... = 3 (0.3333...)\\0.9999... = 3(\frac{1}{3} ) =1

We can solve this using the other method also

Let

x = 0.9999....\\\\ 10x = 9.9999....\\--------------------\\9x = 9\\x=1

We get the same answer under both the methods.

jekas [21]3 years ago
4 0
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perform the indicated operations a. 3/10+6/10. b. 1/3+2/4+1/6. c. 5/6-3/6 d. 2/3-6/10 e. 4/10×3/7 f. 1/6x6/15 g. 1/8÷4/9 h. 1/5÷
babymother [125]

Answer:

A. \frac{9}{10}

B. 1

C. \frac{2}{6} or \frac{1}{3}

D. \frac{2}{30} or \frac{1}{15}

E. \frac{12}{70} or \frac{6}{35}

F. \frac{6}{90} or \frac{1}{15}

G. \frac{9}{32}

H. \frac{4}{15}

7 0
3 years ago
In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of shoes). How many unique ways can Ja
kipiarov [429]

Answer:

48

Step-by-step explanation:

the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.

first lets start with shirts and pants, number of unique combinations are,

(for each shirt there are 4 different pant combinations) = (3)(4)

=12

similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.

thus, total number of combinations are=

(12)(2)(2)

= 48

8 0
4 years ago
What is the slope of the line through the points A(-3, 4) and B(2, -1)
daser333 [38]
Y2-y1 / x2-x1
-1-4 / 2-(-3)
-5/5
-1
So the answer is A
6 0
3 years ago
G find the domain for the particular solution to the differential equation dy dx equals the quotient of negative 1 times x and y
faust18 [17]
\frac{dy}{dx} = \frac{-x}{y}
by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴ \frac{ y^{2} }{2} = - \frac{ x^{2} }{2} +c
finding c using initial condition y(2) = 2.
∴ \frac{ 2^{2} }{2} = - \frac{ 2^{2} }{2} +c
∴ c = 4
 ∴ \frac{ y^{2} }{2} = - \frac{ x^{2} }{2} +4
multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0)  and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure



7 0
3 years ago
(2-8i)^2 show work please
Archy [21]

(2 - (8 * i))^2 =
-60 - 32 i


that’s all i know idk how to show it but you can search it up
6 0
3 years ago
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