The answer would be B) 1 3/4.
X/3-11=4
Move the -11 to the other side to get:
x/3=15
Cross multiply the three to the other side to get:
x=45
Answer: f(x)= (3/4)^x/2 —> Decay
f(x)=(4/3)^x —> Growth
f(x)=(5/6)^3x —> Decay
f(x)=(8/3)^x/3 —> Growth
f(x)=(3/2)^2x —> Growth
Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.
Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.
Asymptote is the “line” that almost touches the x axis.
Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF