168 is the answer no explanation sorry but the answer is 168
<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8
The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio
=48(1/6)^n.
A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
the ratio is 1/6, so the sequence converges.
Now in this case, the limit seems to approach 0,
values can only keep getting smaller.
If the limit approaches 0, then the series will converge to a definite sum
S = c / (1 - are)
S = 48 / (1 - 1/6)
S = 57.6
series converges, has a limit of 0,
sum of 57.6.
hope this helps</span>
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Equation :
f ( x ) = 0.5 x
x is the number of apples.
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The correct answer is (( A )) .
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5/6 is greater.
2/3 < 5/6
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours
