22 boxes still need to be given out
Answer:
y(0) = 0.25 feet
Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =
where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0
y(0) = 0.25 feet
2) t = 
3) t = 
The negative sign indicates the opposite direction of displacement.
Answer:
i)W = 2500 / T
ii) W = 500 Tons
iii) grad W(10°) = - 25î
iv) The formulation is not practical
Step-by-step explanation:
i) Write an equation describing the use of coal
As use of coal is inversely proportional to the average monthly temperature
if W is use of coal in tons/per month then
W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions
k = ?? we know that when T = 25° W = 100 tons the by subtitution
W = k/T 100 = k /25 k = 2500 Tons*degree
Then final equation is:
W = 2500 / T
ii) Find the amount of coal when T = 5 degrees
W = 2500 / 5
W = 500 Tons
iii)
The inverse proportionality implies that W will decrease as T increase.
The vector gradient of W function is:
grad W = DW(t)/dt î
grad W = - 2500/T² î
Wich agrees with the fact that W is decreasing.
And when T = 100°
grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î
iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical
Answer:
x²-10x=area
Step-by-step explanation:
Area= length×width
Length: x
Width: x-10
Area= x(x-10)= x²-10x
I hope this helps...
:)
7. 65 + 75 = 140
180 - 140 = 40
( I think this is the answer)
