Answer:
y=-2x+2
Step-by-step explanation:
If you bring the 4x to the other side by subtracting it, you will have 2y=-4x+8
then divide by the 2 to get y=-2x=4
then you substitute the 5 in for y and the -1 in for x. multiply and then subtract
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:
Step-by-step explanation:
base length b = 32 cm
slant height L = 30 cm
height h = √(L²-(½b)²)
= √(30²-0.25·32²)
≅ 25.3771550809 cm
volume V = (⅓)b²h
= (⅓)32²·25.38
≅ 8662.07 cm³
