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bearhunter [10]
3 years ago
14

What time was it 2011 minutes after the beginning of January 1

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0
Okay! 

Notable things in the problem:
2011 <u>minutes</u> <u>AFTER</u> the beginning of January 1rst. 

12:00AM will be our starting time, because that's when January 1rst begins. 
It'll be a bit easier to work with if we convert the 2011 minutes into hours. 
So take 2011 minutes and divide it by 60 to get the number of hours. 

2011 / 60 = 33 hours and 31 minutes

You wouldn't be able to easily get the exact number of minutes from a calculator. You'll need to use long division. The remainder will be the number of minutes. If you want to check you can multiply the number of hours by 60 and add 31 to the product. If it doesn't equal 2011 minutes then something is amiss. 

12:00 AM 

Since we know this is a 24 hour clock we can subtract 24 from our number of hours. (Just remember that this is the next day) 

12:00 AM with 9 hours and 31 minutes left. 

9:31 AM a day later is our time!<u />
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 f(x) = a(x - h)² + k

The coordinate (h, k) represents a parabola's vertex.

In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)

Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

Vertex: (1.25, 9.875)

Solution: y = 2(x - 1.25)² + 9.875

Or if you prefer fractions

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3 years ago
Sum of interior angles of a convex 14-gon
just olya [345]

Answer: 2160°

Step-by-step explanation:

The sum of angles in a polygon is represented by the formula:

Sum = (n - 2) x 180° where n is the number of sides in the polygon

In this case, the complex polygon has 14 sides (n = 14)

So, (14 - 2) x 180°

= 12 x 180°

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Thus, the sum of interior angles of a convex 14-gon is 2160°

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3 years ago
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Lorico [155]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

(-5) + (+3)

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