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const2013 [10]
2 years ago
5

13. What is the equation in standard form of the circle

Mathematics
1 answer:
mr_godi [17]2 years ago
4 0

The standard form of a circle shows the center and the radius

The equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57

<h3>How to determine the equation?</h3>

The standard equation of a circle is:

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

Where:

Center= (a,b)

Radius = r

Assume that:

(a,b) = (-5,3)

r = \sqrt{57

The equation of the circle would be:

(x + 5)^2 + (y - 4)^2 = (\sqrt{57)^2

Evaluate the exponent

(x + 5)^2 + (y - 4)^2 = 57

Hence, the equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57

Read more about circle equations at:

brainly.com/question/1559324

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x=9 and z=83

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In a NiCd battery, a fully charged cell is composed of Nickelic Hydroxide. Nickel is an element that has multiple oxidation stat
Westkost [7]

Answer:

P(cell has at least one of the positive nickel-charged options) = 0.83.

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85.

Step-by-step explanation:

It is given that the Nickel Charge Proportions found  in the battery are:

0 ==> 0.17

.

+2 ==> 0.35

.

+3 ==> 0.33

.

+4 ==> 0.15.

The numbers associated to the charge are actually the probabilities of the charges because nickel is an element that has multiple oxidation states that is usually found in the above mentioned states.

a) P(cell has at least one of the positive nickel-charged options) = P(a cell has +2 nickel-charged options) + P(a cell has +3 nickel-charged options) + P(a cell has +4 nickel-charged options) = 0.35 + 0.33 + 0.15 = 0.83.

Or:

P(a cell has at least one of the positive nickel-charged options) = 1 - P(a cell has 0 nickel-charged options) = 1 - 0.17 = 0.83.

b) P(a cell is not composed of a positive nickel charge greater than +3) = 1 - P(a cell is composed of a positive nickel charge greater than +3)

= 1 -  P(a cell has +4 nickel-charged options)  '.' because +4 is only positive nickel charge greater than +3      

= 1 - 0.15

=  0.85

To summarize:

P(cell has at least one of the positive nickel-charged options) = 0.83!!!

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85!!!

8 0
2 years ago
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