Answer:
8.75 g
Step-by-step explanation:
Mass of 1 hazelnut= 125/90=1.388888889 g
Calories per g= 630/100= 6.3 calories per g
Calories per hazelnut= 6.3*1.388888889
=8.75 g
We have been given an expression 
. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.
Let us simplify our given expression.
Using exponent property, 
, we cab rewrite our given expression as:
Now we will use exponent property 
to further simplify our expression.
Therefore, Chris made mistake in step 2.
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
