Answer:
![y=2.5*10^9(0.005^{12 0}) \\\\](https://tex.z-dn.net/?f=y%3D2.5%2A10%5E9%280.005%5E%7B12%200%7D%29%20%5C%5C%5C%5C)
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
![y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\](https://tex.z-dn.net/?f=y%3D2.5%2A10%5E9%280.005%5Ex%29%5C%5C%5C%5CAfter%5C%20ten%5C%20years%28x%3D10%2A12%5C%20months%3D120%5C%20months%29%3A%5C%5C%5C%5Cy%3D2.5%2A10%5E9%280.005%5E%7B12%200%7D%29%20%5C%5C%5C%5C)
Well (1.57- 0.6 X 0.6) x 0.3 = 0.363
Answer:
distance covered in 2 hours = 80 km
distance covered in 1 hour = 80÷2 = 40 km
distance covered in 7/2 hours = 40 × 7/2
= 140 km
(3 1/2hours = 7/2 hours)
Answer:
6) The answer is 210p - 105
7) The answer is -124q + 216
Step-by-step explanation:
1. Always Distributive Property first
6) -14 (8 - 15p) 7) -12 ( -18 + 10q)
-112 +210p 216 -120q
2. Combine like terms
6) -112 + 7 = -105 your full answer is 210p -105
7) -120q + -4q = -124q Your full answer is -124q +216.
Hope this helps.
Answer:
It's the third option: (x^2 - 5)(x - 7).
Step-by-step explanation:
x^3 – 7x^2 – 5x + 35
= x^2(x - 7) - 5(x - 7) The (x - 7) is common so we have:
(x^2 - 5)(x - 7).