Since 2/3 is equal to 4/6, so you add 4/6 and 1/6 which equals 5/6 which is how much are <span>chocolate and cinnamon. Your leftover would be 1/6.</span>
159÷12=13 and the fraction 1/4
Answer:
Step-by-step explanation:
In this system we have the force of the spring and the gravitational force. The equation that describes that is

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

the solution for this differential equation is (by using the characterisic polynomial)

hope this helps!!
Answer:20 months
Step-by-step explanation:
2% of 1000 is 20 1000-1400=400
400/20=20 so 20 months
Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
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Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.