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docker41 [41]
2 years ago
7

Timothy draws three isosceles triangles. In each figure, he measures a pair of angles.

Mathematics
1 answer:
Nookie1986 [14]2 years ago
8 0

Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."

Step-by-step explanation:

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What equation best models this data?(use y to represent the population of rabbits and t to represent the year, assuming that 201
liraira [26]

If we see the data closely, a pattern emerges. The pattern is that the ratio of the population of every consecutive year to the present year is 1.6

Let us check it using a couple of examples.

The rabbit population in the year 2010 is 50. The population increases to 80 the next year (2011). Now, \frac{80}{50}=1.6

Likewise, the rabbit population in the year 2011 is 80. The population increases to 128 the next year (2012). Again, \frac{128}{80}=1.6

We can verify the same ratio with all the data provided.

Thus, we know that the population in any given year is 1.6 times the population of the previous year. This is a classic case of a compounding problem. We know that the formula for compounding is as:

F=P\times r^n

Where F is the future value of the rabbit population in any given year

P is the rabbit population in the year "0" (that is the starting year 2010) and that is 50 in this question. (please note that there is just one starting year).

r is the ratio multiple with which the rabbit population increases each consecutive year.

n is the nth year from the start.

Let us take an example for the better understanding of the working of this formula.

Let us take the year 2014. This is the 4th year

So, the rabbit population in 2014 should be:

F_{2014} =50\times(1.6)^4\approx328

This is exactly what we get from the table too.

Thus, F=P\times r^n aptly represents the formula that dictates the rabbit population in the present question.

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3 years ago
What is the limit of the infinite series?
Ipatiy [6.2K]

Answer:

does not exist

Step-by-step explanation:

According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.

Applying the divergence test here:

lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4

This is not 0, so the series does not converge, meaning the sum does not exist.

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Answer:

what is plato edmentum

Step-by-step explanation:

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b

Step-by-step explanation:because

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