Answer:
The sequence above is a geometric sequence
For an nth in a geometric sequence

where n is the number of terms
a is the first term
r is the common ratio
From the question
a = 45
r = 15 / 45
The explicit formula for the sequence is
U(n) = 45(1/3)^n-1
Hope this helps you
The answer is 5 and associative property
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
<h3>What is the area of the circle?</h3>
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

Put this value in the above formula to find the area of the circle as,

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
Learn more about the area of the circle here;
brainly.com/question/402655
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For the answer to the question above, I'll provide a solution for my answer below.
x^4 - 41x^2 = - 400
<span>=> x^4 - 41x^2 + 400 = 0 </span>
<span>=> x^2 = (1/2) [41 ±√(1681 - 100)] </span>
<span>=> x^2 = (1/2) (41 ± 9) </span>
<span>=> x^2 = 16 or 25
</span>
So, therefore, the answers for your problem are
<span>=> x = ± 4 or ± 5.
I hope my answer helped you. </span>
The ordered pairs would be,
(1, 8.5)
(2, 8)
(3, 7.5)
(4,7)
(5, 6.5)
(6, 6)
I got the ordered pairs from the question since it stated that the length of the candle decreased .5 every hour. I just corresponded the hour to the length of the candle.
I hope this helped!
Brainliest answer is always appreciated!