I think the rule has something to do with adding. I noticed that when the input was at 0 the output was 20, When the input was 15 the output was 5, when the input was 8 the output was 12, and so on. I think the rule is, no matter what number is in the input or the output, it must equal 20.
Hope This Helps!
Answer:
Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form
d is the common difference, can be found by:
Subtituting the and
You get:
Method 2 (Mathematical induction):
Assume it is in form
Base step:
Inducive hypophesis:
GIven:
Proved by mathematical induction
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
You're really just finding the volume of the cargo-carry part.
V= L x W x H
V= 8.3m x 3m x 4.2m
V= 104.58 m3 or 105 m3 (rounded)
ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.