Answer:
Intial Value: f(t) = 2 , Exponential Growth
Step-by-step explanation:
To find the initial value, all we have to do is find the value of f(t) at t = 0
In this case the given equation becomes
from the law of indices we know that any number with the power 0 is equal to 1 (except 0 with the power 0)
hence the above equation becomes
so the initial value is 2.
To find out whether this is exponential growth or exponential decay we need to see whether the base value of the power t is less than 1 or greater than 1, i.e. from
is
> 1 or < 1
if the value is greater, then with each increment in power, the total value will increase while if it is less than 1 then with each increment in power the total value will decrease.
Hence since > 1 then this is an exponential growth
Using it's formula, it is found that the tangent of F is given by:
<h3>How to find the tangent of an angle?</h3>
- In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.
Researching the problem in the internet, it is found that for the <em>right triangle</em> in this problem:
- The length of the opposite leg to angle F is of 6.
- The length of the adjacent leg to angle F is of x.
- The length of the hypotenuse is of 11.
Applying the Pythagorean Theorem, we have that:
Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:
To learn more about tangent, you can take a look at brainly.com/question/24680641
Step-by-step explanation:
12,0,-12
Answer:
30/150 simplifies to 20%
30/150
zeros cancel out
3/15
1/5
1/5 as a percentage is the same as 20%
Answer:
g(1) = 1
Step-by-step explanation:
In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).
The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).
