A ) Length = 5 - 2 x
Width = 3 - 2 x
The area of the bottom:
A = L x W = ( 5 - 2 x ) ( 3 - 2 x ) = 15 - 10 x - 6 x + 4 x² =
= 4 x² - 16 x + 15
b ) 4 x² - 16 x + 15 = 10
4 x² - 16 x + 5 = 0
x = (16 - √(256 - 80))/ 8 = ( 16 - 13.266 ) / 2
x = 0.34 in
Answer:
Step-by-step explanation:
It is expected the spinner to land on Red 1/5 times.
<u>If the spinner is spun 40 times, then it should land on Red:</u>
<u>And it should not land on red:</u>
- (1 - 1/5)*40 = 4/5*40 = 32 times
Correct choice is D
Answer:
-42
Step-by-step explanation:
The objective is to find the line integral of 
around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.
We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.
We have that
Therefore,
Let's calculate the needed partial derivatives.
Thus,
Now, by the Green's theorem, we have
Answer: Marci: 60 minutes
Bobby: 30 minutes
Max: 90 minutes
Step-by-step explanation:
50% of 60 is 30.
100% of 60 is 60, plus 50% is 60+30, which gets you 90.
