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mihalych1998 [28]
3 years ago
5

There are approximately 2.6 million deaths per year in country A. Express this quantity as deaths per minute.

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0
Take 2.7 million<span> divided </span>by<span> the number of </span>minutes<span> in a </span>year<span>. 1 hour= 60 </span>minutes<span> 1 day= 24 hours So you take 24 hours × 60 minutes =1440 </span>minutes<span> 1 </span>year<span>= 365 per minute.</span>
solniwko [45]3 years ago
7 0
In one year, there are 365  days 
                   365x24=8760  hours
        8760x60=525 600 minutes

Dividing 2.6 million to the last number (525 600), we find death per minute in this country, which gives us more than 4 deaths in a minute. 
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A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance f
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A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock

B. The two trees are 6 meters away from one another

Step-by-step explanation:

The given equation of the parabola representing the hammock is as follows;

y = 0.4·(x - 3)² + 1

The general equation of a parabola is a·(x - h)² + k;

Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)

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A, The coordinates of the lowest point on the hammock is (3, 1)

Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock

B.  Given that the distance from one end is "x", we have;

The height at which the hammock is attached is given as the point where x = 0 as follows;

Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters

Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters

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Step-by-step explanation :

To find the product of

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First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

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Then, simplify to obtain

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