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IrinaVladis [17]
4 years ago
5

How to find decimal expansions

Mathematics
2 answers:
pashok25 [27]4 years ago
8 0

Step-by-step explanation:

<h3><em><u>Theorems. Theorem 1: If m be any rational number whose decimal expansion is terminating in nature, then m can be expressed in form of \frac{p}{q}, where p and q are co-primes and the prime factorization of q is of the form 2^x~ 5^y, where x and y are non-negative integers.</u></em></h3>

<h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em></h3>
dezoksy [38]4 years ago
6 0

Step-by-step explanation:

<h3><em><u>Theorems. Theorem 1: If m be any rational number whose decimal expansion is terminating in nature, then m can be expressed in form of \frac{p}{q}, where p and q are co-primes and the prime factorization of q is of the form 2^x~ 5^y, where x and y are non-negative integers.</u></em></h3>

<h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em><u>Sno</u></em><em><u>wQueen</u></em></h3>
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A sphere has a volume of 33.5 cubic inches. which value is closest to the radius of this sphere in inches?
EastWind [94]
Radius = cube root (sphere volume * .75 / PI)radius = cube root (33.5 * .75 / PI)radius = cube root ( <span> <span> <span> 7.9975358904)
</span></span></span>radius =2 inches
Source:<span><span> </span> </span> http://www.1728.org/diam.htm


4 0
4 years ago
Lizzy uses 12 cans of paint a day for a week and 3 days. Each can holds 3 liters and 4 ounces. She had 4 jobs. How much paint di
zavuch27 [327]

A week is 7 days.

7 days + 3 days = 10 total days.

12 cans per day x 10 days = 120 total cans.

120 cans x 3 liters and 4 ounces = 360 liters and 480 ounces.

480 ounces = 14.195 liters.

360 + 14.195 = 374.195 liters total paint. ( 374 liters and 6.7 ounces)

Round the answer as needed.

7 0
3 years ago
What is X = to in -3x+4x=2•4-x​
marshall27 [118]

Answer:

x=4

Step-by-step explanation:

-3x+4x=2*4-x

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8=x+x

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4 0
3 years ago
15. Evaluate h? - hk + 2k3 – 2 for h = 4 and k=-1.
Pavlova-9 [17]
"The bread-enclosed convenience food known as the "sandwich" is attributed to John Montagu, fourth Earl of Sandwich (1718-1792), a British statesman and notorious profligate and gambler, who is said to be the inventor of this type of food so that he would not have to leave his gaming table to take supper.
6 0
3 years ago
In a survey of 1005 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfort
Sphinxa [80]

Answer: (0.504, 0.556)

Step-by-step explanation:

Given : Sample size : n= 1005

Number of adults stated that they were worried about having enough money to live comfortably in retirement = 531

Then the proportion of adults stated that they were worried about having enough money to live comfortably in retirement : p=\dfrac{531}{1005}\approx0.53

Significance level : \alpha: 1-0.90=0.1

Critical value : z_{\alpha/2}=1.645

The confidence interval for population proportion is given by :-

p\pm\ z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.53\pm(1.645)\sqrt{\dfrac{0.53(1-0.53)}{1005}}\\\\\approx0.53\pm0.026\\\\=(0.504,\ 0.556)

Hence, the 90​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement = (0.504, 0.556)

6 0
3 years ago
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