Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
A 4500 because Grams is Greater
The answer is 14 flies
1. Calculate the population of flies after 3 weeks without the spider: p(3)
2. Calculate the number of eaten flies by the spider after 3 weeks: s(3)
3. Subtract p(3) and s(3) to get the population of flies after three weeks with the introduced spider.
1. Calculate the population of flies after 3 weeks without the spider:
p(x) = 3(2)ˣ
x = 3 (because it is the period of three weeks)
⇒ p(3) = 3 · 2³ = 3 · 8
p(3) = 24
2. Calculate the number of eaten flies by the spider after 3 weeks:
s(x) = 2x + 4
x = 3 (because it is the period of three weeks)
⇒ s(3) = 2 · 3 + 4 = 6 + 4
s(3) = 10
3. Subtract p(3) and s(3) to get the population of flies after three weeks with the introduced spider:
p(3) - s(3) = 24 - 10 = 14
Therefore, there are 14 flies after three weeks with the introduced spider.
Answer:
A mouse is a mammal, but it us not a monkey.
Step-by-step explanation:
9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
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<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
