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Lilit [14]
3 years ago
15

For each of the sequences below, enter either diverges if the sequence diverges, or the limit of the sequence if the sequence co

nverges as n -------> [infinity].
A. 5/n + n/5
B. 5^-n
C. Sin n/5n
D. 5n + 5/n
Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

As n tends to positive infinity, we have that,

A. 5/n + n/5 ---- converges

B. 5^-n. -----------converges

C. Sin n/5n------ converges

D. 5n + 5/n ------diverges

Step-by-step explanation:

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2. A restaurant employs five people. The two cooks work 36 hours
Cloud [144]

Answer:

Total amount = R5112

Step-by-step explanation:

Let the cooks be C.

Let the waiters be W.

Given the following data;

Number of cooks, C = 2

Number of waiters, W = 3

a. To find the amount earned by each cook;

C = 36 * R36 = R1296

b. To find the amount earned by each waiter;

W = 30 * R28 = R840

c. To find the total amount earned by the employees;

Total amount = 2C + 3W

Total amount = 2(1296) + 3(840)

Total amount = 2592 + 2520

Total amount = R5112

4 0
2 years ago
Determine whether quantities vary directly or inversely and find the constant of variation. A teacher grades 25 students essays
Lesechka [4]
IDK the constant and quantities...
First, find how many hours it takes for him to grade 1 essay, 0.16. Then multiply that by 35 to get 5.6.
I hope this is right -_-'
8 0
2 years ago
A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes. Solve for A and
Gelneren [198K]
A: To find the rate in feet per minute, we can use the information given. 
Every two minutes, the submarine dives 300 feet. So 
\frac{300feet}{2minutes} = 150 \frac{feet}{minute} .
In order to confirm that our rate is correct, we can use the second set of information given.
\frac{6750feet}{45minutes}=150 \frac{feet}{minute}.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
y=150x
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.
3 0
2 years ago
Eli walked 12 feet down the hall of his house to get to the door. He continued in a straight line out of the door and across the
tekilochka [14]
Part A:

The drawing representing Eli's walking pattern is attached.


Part B:
The total distance worked by Eli is given by
12 + 32 + 14 = 58 feet.


Part C:
The distance of Eli from his house is given by
12 + 32 - 14 = 30 feet.



5 0
3 years ago
If f(x) = |x - 4| + 5, find f(1)
tia_tia [17]
I believe 8 is the answer 
6 0
3 years ago
Read 2 more answers
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