Answer:
Here is the full question:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) Σ_(n=1)^∞ (-1)^n+1 1/7^n n
Step-by-step explanation:
Σ_(n=1)^∞ (-1)^n+1 1/7^n n
We will use the function In (1 + x)
We will now give a power series expansion of the function while it is centered at x=0
This will give us In (1 + x) = Σ_(n=1)^∞
Note that x= 1/7
Now let us equate the two equations
Σ_(n=1)^∞ = ㏑(1 + x)| = ㏑
Sum of the series will give ㏑
(a) 2.49 * 6 = 14.94 <== what they spent on goodie bags
(b) 150 for 8 hrs = 150/8 = 18.75 per hr
(c) 182.53 - (150 + 14.94) = 182.53 - 164.94 = 17.59...they spent 17.59 more
Answer: it takes 5s for each plane to travel their respective distances
Step-by-step explanation:
Let a = speed of plane A
Let b = speed of plane B
b = 55 + a
Time for plane A to fly 4000 miles
= 4000/a
Time for plane B to fly 4275 miles
= 4275/b
Since it takes same amount of time
4000/a = 4275/b
4000b = 4275a-------1
Put b = 55+a in eqn
4000(55+a) = 4275a
220000+4000a = 4275a
275a = 220000
a = 800
b = 55 +800 = 855
Time for plane A to fly 4000 miles
= 4000/800 = 5s
Time for plane B to fly 4275 miles
= 4275/855= 5s
15.334 is the answer hope this helps
Answer:
3
Step-by-step explanation:
3 is in the positives while the -6 is in the negatives, and the positives are always greater. :)