Because of the commutative property of multiplication 3/4X4=4X3/4 However these expressions can be calculated in different ways
1 answer:
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Answer:
The distance the Bensons had traveled from their home hours after picking up their grand parents 292.5 miles
Step-by-step explanation:
The given equation for the distance the Benson family traveled from their home can be presented as follows;
d = 55·t + 100
Where;
d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents
t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation
To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;
d = 55·t + 100
When t = hours, we get;
Therefore, the distance the Bensons had traveled from their home hours after picking up their grand parents = 292.5 miles.
Answer:
a) Depth changing rate of change is , When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of , When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them , then
.
a) As we have that volume is , then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is , we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate
