Answer:
Both candles will have the same height after 4 hours.
Step-by-step explanation:
The equation for the amount of candle remaining can be given by the following equations:

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.
Red candle:
8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that
. So

Blue candle:
6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that
. So

After how many hours will both candles be the same height ?
This is t when


![0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2](https://tex.z-dn.net/?f=0.2t%20-%200.7t%20%3D%206%20-%208%5B%2Fyrc%5D%3C%2Fp%3E%3Cp%3E%5Btex%5D-0.5t%20%3D%20-2)
Multiplying by (-1)



Both candles will have the same height after 4 hours.
Wednesday and bottom one on the left
Answer:
The maximum area is 
Step-by-step explanation:
Let
x----> the length of rectangle
y---> the width of rectangle
we know that
The perimeter of rectangle is equal to

we have

so


------> equation A
Remember that
The area of rectangle is equal to
-----> equation B
substitute equation A in equation B

This is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex of the graph is the maximum area of the garden and the x-coordinate is the length for the maximum area
using a graphing tool
The vertex is the point 
see the attached figure
Find the value of y
-----> 
The dimensions of the rectangular garden is
by 
For a maximum area the garden is a square
The maximum area is 
Area of semicircle: pi * r^2/2
r = 9/2 = 4.5
3.14 * 4.5^2 = 63.585/2 = 31.7925
Area of middle section:
Make it a rectangle: L * W
9 * 12 = 108
Area of bottom: L * W
6 * 9 = 54
Now add together: 31.7925 + 108 + 54 = 193.7925, round to nearest hundred
Solution: 193.79 in^2