Midpoint formula ((x1+x2)/2, (y1+y2)/2)
((4+10)/2, (2+4)/2)
answer is (7,3)
9514 1404 393
Answer:
8. p(t) = 5(2^t)
9. 20, 40, 80
10. doubles every year
11. multiplies by 4
12. no, it will soon exceed available habitat
Step-by-step explanation:
8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.
The function is ...
p(t) = 5(2^t)
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9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.
If you insist on evaluating the function, you have ...
p(2) = 5(2^2) = 5·4 = 20
p(3) = 5(2^3) = 5·8 = 40
p(4) = 5(2^4) = 5·16 = 80
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10. The population doubles each year.
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11. In 2 years, the population doubles twice, so is multiplied by 4.
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12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).
Step-by-step explanation:
Average = 30 mil/h
Period = 10s
Av = 30 ÷ 360 / 3600 ÷ 360
Av = 1/12 mil / 10 sec
Answer:
<h2>x = 64</h2>
Step-by-step explanation:
To find x we use tan
tan∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 30
So we have
tan 25° = 30/x
x tan 25 = 30
Divide both sides by tan 25
x = 30/tan 25
x = 64.34
x = 64 to the nearest tenth
Hope this helps you
Answer:
(y−3)2=16(x−2) is the equation of the parabola. Explanation: Whenever vertex(h,k) is known to us, we must preferably use the vertex form of the parabola:
Step-by-step explanation: