Answer:
cost = 56 + 8t, where t is the number of hours worked for.
for 4 hours of work, cost = 56 + 8 x 4 = $88
Step-by-step explanation:
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
Answer:
False
Step-by-step explanation:
In this question, you roll 3 from the standard die and then add it with the next roll to see if the sums are greater than 4.
From this explanation you can see that you use the result from your first roll for the second event, so we can conclude that the event is dependent.
Imagine if we change the result of the first roll into 5, without adding the second roll we can know that the sum will be greater than 4. The first event result will influence the second event, so it is a dependent event.
2.5 kilograms in grams is 2500 grams.
2.5kg = 2500g
Answer:
21
Step-by-step explanation:
I did the math.
