What is the difference between a dependent and an independent variable?
1 answer:
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Answer:
A. T=7.12°C; B. t=3.32min
Step-by-step explanation:
In order to find the answer we can use the Newton's law of cooling:
where:
y0=initial temperature - room temperature
k=coefficients
t=time
Because the outdoors temperature is 3°C, the initial temperature is 20°C, and because the thermometer reads 11°C after 1min we have:
A. Temperature after an extra minute.
so the answer is 7.12°C
B. Time in order to read 4°C
Answer:
D. 2019
Step-by-step explanation:
So I started by rewriting the function f(x)
1000 = 10^3 so
f(x)=10^3 times 1.03^x
1.03 = 103/100 so
f(x)= 10^3 times (103/100)^x
to raise a fraction to a power you just raise the numerator and denominator to that power so
f(x)= 10^3 times 103^x/100^x
change it to exponential form with a base of 10
f(x)=10^3 times 103^x/10^2x
then you can reduce it with the 10^3
f(x)=103^x/10^2x-3
so now that thats in more of a standard form you can find the intersection of the two functions
which is at (9.012,1305.244)
x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.
