Answer:
hours per day
Step-by-step explanation:
Given,
Distance = 192 miles
Rate = 9.6 miles per hour
Lets find her total time of riding by using Distance Formula ( D = RT ).
D = RT
192 = 9.6T
T = 192/9.6
T = 20 hours
Total time she needs to meet goals is 20 hours.
There are 7 days in a week and she plans to ride same hours each day, so that will be:
20/7 hours per day
Answer:
187,500
Step-by-step explanation:
each seat is 12.50$
there are 15,000 seats
so you multiply 12.50$ by 15,000
12.50+15000= 187,500
Answer:
Combined equation is 
Step-by-step explanation:
a varies directly as b and inversely as c.
This can be written as
a =
a = kb
where k is the proportionality constant
-------------------------------------(1)
Now lets find the k value bu substituting the given a, b,c values


36 = 12 k

k = 3
Thus the eq(1) becomes

Let us now find the value of a when b=7 and c = 3


a = 7
Answer:
See proof and explanation below.
Step-by-step explanation:
First we can proof this analitically first using the following property:

If we apply this into our formula we got:

And if we simplify we got:

And that complete the proof.
If we analyze the graphs sin(x) and cos (x) we see that we have a gap between two graphs of
as we can see on the figure attached.
When we do the transformation
we are moving to the left
units and then would be exactly the cos function.