Answer:
2
sec
(θ
) − 2
tan
(
θ
)
Step-by-step explanation:
Answer:
28 feet
Step-by-step explanation:
3.5 x 8 = 28
trust me
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:
The train need to leave Portland at 03:27 am
Step-by-step explanation:
step 1
Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California
Remember that
The speed is equal to divide the distance by the time
so
The time is equal to divide the distance by the speed
Let
s ---> the speed in miles per hour
d ---> the distance in miles
t ---> the time in hours

we have


substitute

step 2
Adds 30 minutes (time it takes to get from the train station to her aunt's house)
Remember that


Convert to minutes

step 3
Remember that

Convert to minutes

Subtract 993 minutes from 1,200 minutes

Convert to hours+minutes


so


therefore
The train need to leave Portland at 03:27 am