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.
Step-by-step explanation:
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Answer for this question is
Answer:
132cm²
Step-by-step explanation:
You can find the area of the entire shape by calculating the area of seperate smaller shapes.
You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.
To calculate the rectangles areas, simply do length x width, which are:
4cm x 7cm = 28cm²
8cm x 7cm = 56cm²
Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:
6cm x 8cm = 48cm²
Add all the answers together to get the final area, which is 132cm².
