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Art [367]
4 years ago
9

The country of Freedonia has decided to reduce its carbon-dioxide emission by

Mathematics
1 answer:
Goshia [24]4 years ago
3 0

Answer:

\\E(t) =40(0.65)^{t}

Step-by-step explanation:

Since the country wants to reduce the emission by the percentage each year, the function will be decaying function. The formula of decaying function will look like this  

E(t) =E_{0} (1-r)^{t}\\

Where

E(t) = the number of emission after t years

E0= the number of initial emission= 40 million tons

r=rate of growth/decay = 35%= 0.35

t= time in years

If we put the number, the equation will be:

E(t) =E_{0} (1-r)^{t}\\E(t) =40(1-0.35)^{t}\\E(t) =40(0.65)^{t}

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IgorLugansk [536]

Answer:

9

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (a^2 + b^2 = c^2), where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that (a) represents the unknown leg (side).

a^2 + b^2 = c^2\\\\a^2 + (\sqrt{19})^2 = (100)^2\\\\a^2 + 19 = 100

Inverse operations,

a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = \sqrt{81}\\\\a = 9

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3 years ago
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Lisa [10]
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harina [27]

Answer:

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