Answer:
<em>t=60</em>
Step-by-step explanation:
3/2t-16=4/3t-6
(subtract 4/3t from both sides)
3/2t-16-4/3t=-6
(add 16 to both sides)
3/2t-4/3t=-6+16
(simplify)
1/6t=10
(divide by 1/6 (or multiply by 6 on both sides)
t=60
12 cheesecakes
125 wedding guests
125 divided by 12=10.41666666666667=10.4
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
Answer:
1. Ali makes three straight long cuts along the diameter of the pizza.
2. Ali makes two straight long cuts along the diameter of the pizza.
Step-by-step explanation:
