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Answer:
f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0
Step-by-step explanation:
Each week 40% of the olive oil bottles were sold. This means, each week 60% of the bottles were left. In addition to these, 20 new bottles arrived in shipments.
So, every week the number of shipments was:
60% of the shipments of previous week + 20
In equation form this can written as:
Shipments in a week = 60% of shipments of previous week + 20
For, nth week we can re-write this equation as:
f(n) = 60% of f(n - 1) + 20
or
f(n) = f(n - 1) ⋅ 0.60 + 20
For example for first week, replace n by 1 to find the number of shipments in week 1 and same goes for next weeks.
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
Answer:
y = 12
Step-by-step explanation:
A line parallel to y = 6 is, like y = 6, horizontal. Such a line passing through (10,12) is y = 12.
I'm not sure what the question is here. If an answer is communicative property, go with that. If it is asking for
, the answer is about 84.8230016469.