Answer: In 2008 the population was 21,525,144
Step-by-step explanation:
You need to use the following formula for Exponential decay:

Where
is the initial population in the year 0,
is the rate of decay and
is the time.
In this case, you can identify that:

Therefore, substituting these values into the formula for Exponential decay, you get:

Then, in 2008 the population was 21,525,144
Answer:
The maximum power generated by the circuit is 300 watts.
Step-by-step explanation:
A quadratic function is one that can be written as an equation of the form:
f (x) = ax² + bx + c
where a, b and c (called terms) are any real numbers and a is nonzero.
In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.
The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.
The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:
- The value of x, in this case the value of current c in amperes, can be calculated with the formula
. In this case:
So c= 5 amperes. The current is 5 amperes. - The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts
<u><em>The maximum power generated by the circuit is 300 watts.</em></u>
Answer:
-2 x -3/2
Step-by-step explanation:
-2 x -3/2
That would equal three, which is more than 2.
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
To solve this problem, you have to determine the value of
the number 3 in both numbers:
6,300 – the number 3 is in the hundreds place so its value
is 300
530 – the number 3 is in the tens place so its value is 30
To answer the question, the value of 3 in 6,300 is 10 times
the value of 3 in 530.