Answer:
Part 1) The exponential function is equal to 
Part 2) The population in 2010 was
Step-by-step explanation:
Part 1) Write an exponential decay function that models this situation
we know that
In this problem we have a exponential function of the form

where
y ----> the fish population of Lake Collins since 2004
x ----> the time in years
a is the initial value
b is the base
we have


substitute
----> exponential function that represent this scenario
Part 2) Find the population in 2010
we have
so
For 
substitute
Answer:
according to my observation it should be a option
Answer:
1.2 hours
Step-by-step explanation:
Recall :
Distance = speed * time
Let the time taken = x
Creating an equation for the question :
Distance of train A + Distance of train B = 192
70 * x + 90 * x = 192
70x + 90x = 192
160x = 192
x = 192 / 160
x = 1.2
It takes 1.2 hours to be 192 miles apart.
Answer:
The correct answer is:
by <em>rule</em> ASA rule of congruence.
Step-by-step explanation:
First let us prove
by rule ASA (rule of congruence).
<u>Congruent side:</u>
(Given)
<u>Congruent angles:</u>
1. By definition of perpendicular,
Also,

Therefore,
or you can say,
2. Common angle between
is 
In a nutshell, in
,
(Angle)
(Side)
(Angle)
are congruent to the following angle, side and angle of
:
(Angle)
(Side)
(Angle)
Therefore, by ASA rule of congruence, we can say
.
<em>Since both triangles are congruent</em>, the sides
and
are also congruent.