Answer:
0.69
Step-by-step explanation:
Just did it on edge and got it right
Population growth can be modeled using an exponential function: P = Ae^kt
Since it was given that:
At 1985, P = 145 M and at 1995, P = 190 M, we could easily solve for the constants A and k
145 = Ae^k(1985)
190 = Ae^k(1995)
Using natural logarithms to transform these equations to linear:
Ln 145 – ln A = k(1985) ->eqn 1
Ln 190 – ln A = k(1995) -> eqn 2
Solving the system of equations:
Ln A = -48.6759, A = 7.249x10^-22
k = 0.02702
P = (7.249 x 10 ^-22) e^ 0.02702t
TIP: try not to round off values. Since the terms are exponential, a slight deviance of the constants will yield great differences in P
9514 1404 393
Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0
Answer:
-4
Step-by-step explanation:
The answer is A. 10C5(2a)^5(-3b)^5