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VikaD [51]
1 year ago
13

the result of an experiment was 117.755 particles per milliliter. write the decimal as a mixed number.

Mathematics
1 answer:
nordsb [41]1 year ago
6 0

The result of experiment in mixed fraction form is 117\frac{151}{200}  particles per milliliter.

<h3>What is the result of the experiment in mixed fraction form?</h3>

To convert decimal to fraction, we the decimal number over 1 and multiply both the numerator and denominator by power of 10.

Given the data in the question;

  • Result of experiment in decimal form = 117.755
  • Result of experiment in mixed fraction form = ?

In 117.755, we have 3 numbers to the right of the decimal point.

We have 10³ which is the same as 1000.

\frac{117.755}{1} * \frac{1000}{1000}\\\\\frac{117755}{1000}

Next, we divide both the numerator and the denominator with their Greatest Common Factor.

Greatest Common Factor of 117755 and 1000 is 5

\frac{\frac{117755}{5} }{\frac{1000}{5} } = \frac{23551}{200}

Now, we can get 200 out of 23551 exactly 117 times, since what remained is not divisible by 200, we leave it as a remainder [151].

We can now write this in a mixed fraction form as;

117\frac{151}{200}

Therefore, the result of experiment in mixed fraction form is 117\frac{151}{200}  particles per milliliter.

Learn more about fractions here: brainly.com/question/10354322

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Allisa [31]

P(taking 2 socks of same cllour) = 1/15

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AleksandrR [38]

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

     I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!

7 0
3 years ago
Just find the figure of the rectangle plss
AnnZ [28]

Answer:

x= 21

y= 3

z= 21

Step-by-step explanation:

Let the center be O,

=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"

=> Line AC is divided in two equal parts by the center so if AO= 21 then

    7y = 21, and thus "y = 3"

=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"

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3 years ago
Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1
Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

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3 0
2 years ago
What is the inverse of the following statement?
Ksju [112]

The inverse of the statement is 'If it is Wednesday, then it is not sunny'

<h3>What is the inverse of a word?</h3>

The inverse of a word is simply the contrary nature or quality and could be termed opposite or  reverse of a proposition or theorem that is formed by'

  • contradicting both the subject and predicate
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For instance, the inverse of "if A then B" is "if not-A then not-B"  and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive

From the information given, we have;

'If it is not Wednesday, then it is sunny'

We can see that the inverse of the proposition is;

'If it is Wednesday, then it is not sunny'

Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'

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brainly.com/question/14391067

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