<em>Formula:</em>
<em>Plug in the values:</em>
<em>Simplify LHS:</em>
<em>Multiply by 1936 on both sides:</em>
<em>Simplify RHS:</em>
<em>Square root both sides:</em>
Answer: The radius is 4 units. (Answer B)
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:
We have 7n < 6 - 48;
7n < - 42;
n < -6;
Then, 3n - 4 ≤ 8;
3n ≤ 12;
n ≤ 4;
Step-by-step explanation:
<span>$8,000 x 0.13 = $1040
</span>$8,000 + $1040 = <span>$9,040
answer: </span>$9,040
