Answer:
The solution is
.
Step-by-step explanation:
A first order differential equation
is called a separable equation if the function
can be factored into the product of two functions of
and
:

where
and
are continuous functions.
We have the following differential equation

In the given case
and
.
We divide the equation by
and move
to the right side:

Next, integrate both sides:

Now, we solve for 

We use the initial condition
to find the value of C.

Therefore,

Answer:
3
Step-by-step explanation:
First right out all the data in numerical order from left to right.
2, 2, 2, 3, 4, 5, 7
The median is the middle number in the set. If there is an even amount of data points, find the average of the two middle numbers. If there is an odd number of data points, like in this data set, just take the middle number as you median.
There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.
When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3. Therefore, 3 is the median of this data set.
4(-9*x)
Multiply the two numbers
-36x
Final answer: -36x
To find the total amount Leo should give, simply find the 20% of his bill then add it.
Total cost = $45.90 + ($45.90 × 0.20)
Total cost = $45.90 + $9.18
Total cost = $55.08
Therefore, Leo should give $55.08 in total to leave a 20% tip.
Answer:
102°
Step-by-step explanation:
This is an isosceles triangle
x = 180 - 39 - 39
x = 102°