She should randomly select campers period, because she wants to estimate the percentage of "campers that ride once a week" and not for example what percentage of campers who ride that ride once a week...
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:
y + 7 = -
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
Where m is the slope and (a, b) a point on the line
Here m = -
and (a, b) = (1, - 7), thus
y - (- 7) = -
(x - 1), that is
y + 7 = -
(x - 1) ← in point- slope form
Answer:
98
Step-by-step explanation:
we're doing PEDMAS, so do Exponents first.
3² = 9
8 + 10 x 9
Multiply
8 + 90
Add
98
First, find the length of one side of a square:
Area = side²
11 = s²
s = √(11) cm
Since there are 8 squares on each side, multiply the length of one square by 8 to get the length of 8 squares.
√(11) * 8 = 8√(11) ≈16.5 cm
Hope this helps!