The graph of f(x) = x2 has been shifted into the form f(x) = (x - h)2 + k:
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Answer:
<h3>The length of y is 62.82 cm.</h3>Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,
Therefore,
Plugging values of and x=36.25, we get
Plugging value of in above equation, we get
On multiplying both sides by y, we get
0.577y=36.25
Dividing both sides by 0.577, we get
y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>Answer:
The world population at the beginning of 2019 will be of 7.45 billion people.
Step-by-step explanation:
The world population can be modeled by the following equation.
In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.
This means that
So
What will the world population be at the beginning of 2019 ?
2019 - 1980 = 39. So this is Q(39).
The world population at the beginning of 2019 will be of 7.45 billion people.