5/9 (fraction simplified)
Multiplication, addition, subtraction
Answer:


or

Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, (
).
If you are given the
intercept, then
is easy to find.
It is just the
coordinate of the
intercept is your value for
.
(Why? The
intercept happens when
. Replacing
with 0 gives
. This says when
.)
So
.
So our function so far looks like this:

Now to find
we need another point. We have two more points. So we will find
using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given
is a point on our curve.
So when
,
.


Divide both sides by 8:

Reduce the fraction:

So the equation if it works out for the other point given is:

Let's try it. So the last point given that we need to satisfy is
.
This says when
,
.
Let's replace
with 2 and see what we get for
:






So we are good. We have found an equation satisfying all 3 points given.
The equation is
.
Answer:
80,94º
Step-by-step explanation:
What I've done is, first draw a triangle with a 90º angle and write down the height (324m) and the tourist's distance (100m).
So I calculated the tangent of the angle of the tourist.
The formula is tan=Oposite side/adjacent


And now with your calculator you press "shift" and "tan". Then introduce 3,24 and it will give you the result (80,94º).
I hope it helped.
The answer is B. The next crayon Laura picks is NOT red.