<span>0.000938 in scientific notion.
First we need to move the decimal to its right and we need a number which is between 1-10.
0.000938
00.00938
000.0938
0000.938
00009.38
We moved the decimal 4 times and to the right so it will be negative. -4.
9.38 </span>× 10^-4
Scientific notation of 0.000938 is 9.38 × 10^-4.
Check:-
9.38 × 10^-4 = <span>0.000938
</span>0.000938 = <span>0.000938
</span>Correct!
<span>Scientific notation of 0.000938 is 9.38 × 10^-4.</span>
C. The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
The samples he chose may not be a representative sample because the number of students per foreign language class may not be the same. Since classes have different numbers of students, one may have a very large number of students while another may have only a few. Taking equal number of students per class is not a representative sample because it doesn't represent the students correctly.
Answer: segment rq
<u>Explanation:</u>
Segments are named by their endpoints. You can start/end with either endpoint. So, qr can also be called rq.
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54