The temperature of soup after 25 minutes is 
<em><u>Solution:</u></em>
The temperature of chicken soup is 192.7°F
As it cools, the temperature of the soup decreases 2.3°F per minute
Let the initial temperature be 
Let "t" be the time for rate of decrease
Set up an equation
Temperature = Initial temperature - decrease in temperature
Decrease in temperature = rate of decrease x time
Therefore,

<em><u>To find the temperature of soup after 25 minutes, substitute t = 25</u></em>

Thus the temperature of soup after 25 minutes is 
Let
x------------> <span>The length of one leg
</span>y------------> <span>The length of second leg
</span>
we know that
H=50 cm
x=2y
<span>applying the Pythagorean theorem
H</span>²=x²+y²--------> 50²=(2y)²+y²---------> 2500=4y²+y²-----> y²=2500/5
y=√500--------> y=22.4 cm
<span>so
</span>x=2y--------> x=2*22.4--------> x=44.8 cm
<span>
the answer is
</span><span>the lengths of the legs of the triangle are
</span>44.8 cm
and
22.4 cm
Answer:
Therefore, x is 1 and 2.
Step-by-step explanation:
As you plot both equations on the same graph, you will get something like this, shown in the graph.
Then, you have to find the x solutions where they intersect.
So, both equations intersect at x = 1 and 2.
You have to choose

members from the group of

people. So there are

ways to do it.
Given:
The logarithmic expression is:

To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:

The given expression is:

Using the change-of-base formula, we get

Where, is a constant and c>0.
Let
, then

Therefore, the correct option is a.