Answer:
C. 9
Step-by-step explanation:
81 = 9 x 9
18 = 9 x 2
so the greatest common factor (GCF) of 81 and 18 : 9
Answer is C. 9
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Answer:
y = 5x + 10
Step-by-step explanation:
From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:
Plug in the points:
Simplify:
m = 5.
The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:
y = 5x + 10 is the equation written in slope-intercept form.
The answer would be a histogram. It is an accurate display of numerical data. It shows the basic frequency distribution or shape of a data. We know that continuous data are measured
on a scale or continuum (for example: weight or test
scores). Histograms are useful for displaying
continuous data.
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
Yes same thing
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