Answer:
0.25 Converges
Step-by-step explanation:
First, we need to expand our series so that we get the following:

We can then use the series ratio test on each term. (L < 1 = absolutely convergent)

=
⇒ converges


⇒ converges
converges + converges
= converges
~Hope this helps! Once again, sorry if my explanation is a bit confusing~
Answer:
ac
Step-by-step explanation: because the line ac is going directly through the square
The area of his backyard is 120 yards or 360 feet since one yard is 3 feet. unit rate is it would cost $0.06 to cover each foot in his backyard. since he has to cover 360 feet multiply .06 by 360 and get 21.60. so it costs $21.60 to cover that guys backyard with grass. ya welcome :)
Answer:
x = 3/2 ± √(9/4 − 1/2 y)
Step-by-step explanation:
y = 6x − 2x²
First, factor out the leading coefficient:
y = -2 (x² − 3x)
Complete the square.
y = -2 (x² − 3x + 9/4 − 9/4)
y = -2 (x² − 3x + 9/4) + 9/2
y = -2 (x − 3/2)² + 9/2
Solve for x.
-1/2 y = (x − 3/2)² − 9/4
9/4 − 1/2 y = (x − 3/2)²
±√(9/4 − 1/2 y) = x − 3/2
x = 3/2 ± √(9/4 − 1/2 y)
Answer:
77m
385
Step-by-step explanation:
The express is the number of times fed times the amount at each feeding. Let m be the number of times fed per day
77m
If she was fed 5 times
77*5
385