Answer:
8pi
Step-by-step explanation:
Let's say the dog jumps 100 feet every jump, (Yes, I know that it's illogical, but it makes this problem so much easier.) and that it jumps 1 time every second.
100 · 1 = 100, so Dog goes at 100 feet per second.
Cat jumps 5% shorter, so it is 95 feet per jump. However, it jumps 5% more than dog, so it jumps 1.05 times every second. You multiply.
95 · 1.05 = 99.75. So Cat goes at 99.75 feet per second.
100 > 99.75
Dog is going to win the race.
Answer:
-5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
For this case we have the following parent function:
We apply the following changes:
Shift 2 units left:
This change is the same as writing the function as follows:
Therefore, the new function is:
shift 9 units up:
This transformation is the same as writing the function in the following way:
Therefore, the new function is:
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Answer: 54678 years
Step-by-step explanation:
This can be solved by the following equation:
(1)
Where:
is the quantity of atoms of carbon-14 left after time
is the initial quantity of atoms of C-14 in the mammal hide
is the rate constant for carbon-14 radioactive decay
is the time elapsed
On the other hand, has a relation with the half life of the C-14, which is :
(2)
Substituting (2) in (1):
(3)
Applying natural logarithm on both sides of the equation:
(4)
(5)
Isolating :
(6)
(7) This is the age of the mammal hide