Answer: 
Step-by-step explanation:
The perpendicular slope of the line(m) =
:
- m = -4 ⇒

The function formula is y = mx + b, where the y-intercept(b) is found by substituting in the values of a point on the line ⇒ (4, -6):

<u>So the perpendicular equation is </u>
<u>.</u>
Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
After 8 hours
h = -t+20
h = -8+20
h= 12
Answer:
904.32 cubic ft
Step-by-step explanation:
To find the volume of a sphere, the formula is 
First, 3.14 * 4 for 12.56.
The radius is 6, and that cubed is 216.
After that, divide 216 by 3 for 72
Then, 12.56 times 72, which gets you the final answer of 904.32 cubic ft.
(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)
720 + 144 = 864
864 + 36 = 900
900 + 4.32 = 904.32
Ou paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall? rate = (area/time)
------
rate = (1/3)/(1/4) = 4/3 job/hr
-----
time for job = 3/4 hr/job = 45 minutes to do the whole job.