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
8.3% is ur answer hope this helps
<span>This is a very nice counting question.
Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7).
Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7).
Hope this helps! :)</span>
Answer:
$100
Step-by-step explanation:
He gets paid a commission of $400 for a $100,000 insurance policy. We need to find out how much he's gonna get paid for a $25,000 insurance policy.
Break down the $100,000 into four equal amounts if possible, which it is:
$25,000
$25,000
$25,000
$25,000
Now break down his commission of $400 for the $100,000 insurance policy into four equal amounts if possible, which it is:
$100
$100
$100
$100
Now since we split them up into four equal parts you can tell how much he would get paid for a $25,000 insurance policy.
He would get paid $100 for the $25,000
I agree with your answer "supplementary". The two angles combine to form 180 degrees, aka a straight angle
Your teacher seemed to have made a typo.