Answer:
The dimensions are 25 * 50 feet.
Step-by-step explanation:
The 3 sides of the pen will measure (2x + y) feet where x is the width and y is the length.
2x + y = 100
y = 100 - 2x
The area A = xy = x(100 - 2x) ft^2.
Finding the maximum area.
A = x(100 - 2x)
A = 100x - 2x^2 Finding the derivative:
A' = 100 - 4x
For maximum value of A this equals zero:
100 - 4x = 0
4x = 100
x = 25 ft, so this is the width.
The length is 100 - 2(25) = 50 ft.
Answer:
825 g
Step-by-step explanation:
Here's my work:
500g Cl2 l 1mol Cl2 l 2 mol NaCl l 58.5 g NaCl
l 71 g Cl2 l 1 mol Cl2 l 1 mol NaCl
= 823.94 - the rounding can be a little off
The first thing you have to do is convert the 500 g of Cl2 into moles. So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71. now on the third column you are comparing the mol ratios of the equation. The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a coefficient of 2 in front of NaCl so that means there is 2 moles. Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl . You multiply across the top and then divide that number by the bottom row.
4 because each line cross the x axis (horizontal line) twice.
Since there is around 30 days in each month, I'm going to divide 95 by 30, which equals 3.16. (Rounded, it would be 3.2).
Answer: y= -3/2x
Explanation:
3x+ 2y- 6
→ 2y= -3x+ 6
→ y= -3/2x+ 3
Parallel to y= ax+ b is to have the same slope (ax) and have a different y- intercept.
For this equation, y= -3/2x + 3, it is y= -3/2x because the line has to pass through point (0,0).