Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
Answer:

Step-by-step explanation:
Connect points I and K, K and M, M and I.
1. Find the area of triangles IJK, KLM and MNI:

2. Note that

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.
For this case we have that by definition, the volume of a cube is given by:

Where,
- <em>s: Side of the cube
</em>
We have that the cube side is given by:

Therefore, replacing values we have:

Answer:
One way to write the volume of the cube is:

Answer:
40 inches
Step-by-step explanation:
To find the area of a trapezoid, you have to multiply the longest base (10 inches in this case) by the highth (i can't spell lol) (the highth is 4 inches in this case). So, A= Bh Area=10*4 Area =40 inches.