Answer:
87.5%
Step-by-step explanation:
7/8
= 0.875
= 0.875 x 100%
= 87.5%
9 <= 17 -4x
Subtract t 17 from both sides:
-8 <= -4x
Divide both sides by-4,
2 <= x
Rewrite the inequality with the x on the left side.
Answer: x <=2
that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'
625+3600=
4225=
Therefore,
=x
65=x
The length of the hypotenuse is B.65 centimetres.
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
9514 1404 393
Answer:
$(4/3)X
Step-by-step explanation:
Working 12 hours, Samia gets paid for the first 8 hours ...
8 · ($X) = $8X
For the remaining 4 hours, she is paid ...
4 · ($2X) = $8X
Then for 12 hours, she is paid a total of ...
$8X +$8X = $16X
Her average hourly pay is then ...
total pay / total hours = $16X/12 = $(4/3)X . . . average hourly pay
