D A little longer than a yard (about 3 ft)
To solve this problem it is necessary to apply the concepts related to the conservation of energy and heat transferred in a body.
By definition we know that the heat lost must be equal to the heat gained, ie

Where,
Q = Heat exchange
The heat exchange is defined as

Where,
Specific heat
m = mass
Change in Temperature
Therefore replacing we have that


Replacing with our values we have that




Therefore the highest possible temperature of the spoon when you finally take it out of the cup is 75.24°C
Answer:
The remaining percentage of drug concentration is about 88.7% 2 years after manufacture.
Explanation:
Recall the formula for the decay of a substance at an initial
concentration at manufacture:

where k is the decay rate (in our case 0.06/year), and t is the elapsed time in years. Therefore, after 2 years since manufacture we have:

This in percent form is 88.7 %. That is, the remaining percentage of drug concentration is about 88.7% 2 years after manufacture.
(a) Determine the circumference of the Earth through the equation,
C = 2πr
Substituting the known values,
C = 2π(1.50 x 10¹¹ m)
C = 9.424 x 10¹¹ m
Then, divide the answer by time which is given to a year which is equal to 31536000 s.
orbital speed = (9.424 x 10¹¹ m)/31536000 s
orbital speed = 29883.307 m/s
Hence, the orbital speed of the Earth is ~29883.307 m/s.
(b) The mass of the sun is ~1.9891 x 10³⁰ kg.
A because he is putting three vitals on a hot plate