Answer:
11
Step-by-step explanation:
The first term of the geometric sequence is given to be a₀, the common ratio r and the (n+1)th term is aₙ.
Now, the condition is given a₀ =6.7, r=1.9 and aₙ=7804.8.
Therefore, a₀.rⁿ=7804.8 = aₙ
⇒ 6.7(1.9)ⁿ=7804.8
⇒(1.9)ⁿ =1164.89
Now, taking log both sides we get,
⇒n log (1.9) =log (1164.89)
⇒n =log (1164.89)/log(1.9) =10.9999≈11
Therefore, the value of n is 11.
<h3>
Answer: Approximately 7.33 degrees</h3>
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 13/101
x = arctan(13/101)
x = 7.334379 approximately
x = 7.33
Greatest common factor is 7
Answer:
The radioactive isotope 14C has a half-life of approximately 5715 years. A piece of ancient charcoal contains only 75% as much of the radioac
Step-by-step explanation:
ece of modern charcoal. How long ago was the tree burned to make the ancient charcoal
Answer:
See below.
Step-by-step explanation:
Part 1.
x + 12 <---------- Quotient.
------------------
x - 4 ( x^2 + 8x + 16
x^2- 4x
------------
12x + 16
12x - 48
----------
64 <--------- Remainder.
Part 2
f(4) = (4)^2 +8(4) + 16 = 16 + 32 + 16
= 64 Which is the remainder we found in the long division.
Part 3.
As you see in Parts 1 and 2, the Remainder Theorem tells you what the remainder is without doing the long division. If the remainder is 0 this means that the binomial you is a factor of the polynomial.