Answer:
Step-by-step explanation:
The growth of the population can be modeled by the following differential equation:
Where r is the growth rate, P is the population, and t is the time measures in months.
I am going to solve the above differential equation with the separation of variables method.
Integrating both sides:
Where P(0) is the initial condition
We need to isolate P in this equation, so we do this
So
The problem states that P(0)=3000, so:
The problem wants us to find the value of r:
It states that the population doubles in size from 3000 to 6000 in a 6- month period, meaning that P(6) = 6000. So
To isolate 6r, we apply ln to both sides.
r = 0.1155
The particular solution to the differential equation with the initial condition P(0)=3000 is:
Answer:
B) No; because x and y could have a common irrational factor.
Step-by-step explanation:
The above answer speaks for itself.
An example is (√27)/(√3) = 3, the ratio of two irrational numbers with a common irrational factor.
Answer: 160 degrees
Step-by-step explanation:
I assume you mean two angles with = measure form a 320 deg angle
In this case it would be 320/2 = 160 degrees
Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If , the function is translated "k" units up
If , the function is translated "k" units down.
If , the function is translated "k" units left.
If , the function is translated "k" units right.
In this case you have the following function:
And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:
Finally, simplifying, you get that this is:
Answer:
95 degrees
Step-by-step explanation:
The sum of the measures of a quadrilateral is 360 degrees. 360-105-80-80 = 95 degrees