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:
C is the answer your looking for
Answer:
x = 0 and x = 6
Step-by-step explanation:
See the graph attached to this question.
It is clear from the graph that the curve touches x-axis i.e. y becomes zero at points x = 0 and x = 6
Therefore, the give parabola has zeros at x = 0 and x = 6. (Answer)
Zeros of a function y = f(x) are determined from the equation f(x) = 0 and solving it we will get the x-values which are the zeros of the function.
Answer: 15 by 15 units
Step-by-step explanation: brainliest plz and ty
This is a problem of
system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A
solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:
1. Alice has a total of 12 dimes and nickels.
Let the variables:
1st. Equation:
<span>
2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:<span>Alice has
5 dimes and
7 nickels. </span>
