Answer:
The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.
Step-by-step explanation:
A snowball is spherical, so it's area is given by the following formula:
The radius is half the diameter so:
If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.
We have to find 
when 
Applying implicit differentiation:
We have to variables(A and d), so:
The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.
Answer:
The range is -3≤y≤3 - 3≤y≤3.
Step-by-step explanation:
I hope this helps! :)
Answer:
440 hours
Step-by-step explanation:
In this case the aircraft has completed one cycle of service in the first 454 hours of service. Then making the difference between the hours of service and the hours of the first cycle we have:
Hours of the second cycle= Total time in service- time Airworthiness Directive
=468-454=14
Then we have 14 hours of service and need to accumulate the rest to complete 454. It is
454-14=440
Then we need to accumulate 440 hours additional to complete the Airworthiness Directive .
Option B: 1088 is the next term in the geometric sequence.
Explanation:
The sequence is 
We need to determine the next term.
To determine the next term, let us find the common ratio between the terms.
Thus, the common ratio is 
And the given sequence is a geometric sequence.
To determine the next term in a geometric sequence, we always multiply the common ratio to the current term.
Hence, the current term is 272 and the common ratio is 4.
Next term = Current term × Common ratio
Thus, the next term of the geometric sequence is 1088
Therefore, Option B is the correct answer.
Answer:
Step-by-step explanation:
You draw one card at random from a standard deck of 52 playing cards
Total cards = 52
5 even numbers in each suit. 4 times 5 = 20 even number cards
(b) the card is a heart or a diamond
there are 13 heart and 13 diamonds
(c) the card is a nine or a face card
There are 4 nine and 12 face cards
