HHarry23
- Aug 4, 2024
- Joined Apr 17, 2023
- Edited
Hey Guys, I have got a question provided by my teacher that I am REALLY struggling with. Could anyone please help me out?! I couldn't add an image to this post so ill try and type it out. Hopefully its readable. The question is as follows:
Newtons Law of cooling states that the rate of cooling of a body is proportional to the excess of its temperature above that of its surroundings, i.e
dT/dt = -k(T - Ts)
Where T°C is the temperature of the body, Ts °C is the temperature of the surroundings and k is %
a positive constant. A cup of hot water is poured from a kettle with an initial temperature of 95°C and is placed on a sink in the kitchen where the temperature is a constant 25°C. If it takes 10 minutes for the cup of hot water to reach a temperature of 60°C, express T in terms of t. (3 marks)Could anyone please help me out?
Ohhh ok.
so you move the 1 over and treat it as a quadratic and solve using the quadratic formula.
So if you were finding x from the x2 part there is a +/- in front of the sqrt of a, but there is also a +/- in front of the sqrt(5) doesn't that mean there will be four answers??Find the y-coordinates for the point of intersection of the curve y = x2 with the circle x2 + y2 = 1
I have halfway used simultaneous equations and I have the equation:
x2 + x4 = 1
How do I solve for x?WelcomeToHell a+0.25a
Also, Here when you add all the equations as they must all equal to 4 hours. How did you make (1)=a and (2)=0.25? did you make x=7 in (1) to make it equal to 1 then 1/4=0.25?
Ohh, wait.
Is that so you only have one unknown variable in the third equation (3)? do that you can then simplify and solve for cWOW. Thanks so much.
So when you substitute (1) into 6x+3=36/c are you then using simultaneous equations to find (3)??
or is that just a rule of thumb, to substitute (1) into another to get (3)??A man has to travel 50km in 4 hours. He walks the first 7 km at x km/h, cycling the next 7 km at 4x km/h and motoring the remainder at (6x+3) km/h. Find x?
Would I use simultaneous equations to solve??
Please help me.