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Virty [35]
2 years ago
12

A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance trav

eled is 56.923 miles. Part A: How many miles did the hiker travel on the first day
Mathematics
1 answer:
Anastaziya [24]2 years ago
5 0

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

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If the perimeter of a square is 32 inches, what is the area
makvit [3.9K]

Answer:

64

Step-by-step explanation:

A square has 4 sides. 32 divided by 4 is 8. 8 squared is 64.

3 0
3 years ago
TO TRANSMIT INFORMATION ON THE INTERNET, LARGE FILES ARE BROKEN INTO PACKETS OF SMALLER SIZES. EACH PACKET HAS 1,500 BYTES OF IN
stich3 [128]

Answer:

<u>A.</u> <u>It would be needed 20 packets to transmit 30,000 bytes of information and B. 45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the question:

Size of each packet of information = 1,500 bytes

Number of packets = P

Number of bytes of information = B

2. Let's answer the questions:

A. How many packets would be needed to transmit 30,000 bytes of information?

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P = 20

<u>It would be needed 20 packets to transmit 30,000 bytes of information</u>

B. How much information could be transmitted in 30,000 packets?

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B = 45'000,000

<u>45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.</u>

Note: Same answer provided to question 14037480, answered by me.

7 0
3 years ago
What is the exponential form of 3x3x3x5x5
Dennis_Churaev [7]

3x3x3x5x5 is in nonstandard form. Please, use " ^ " to denote exponentiation:

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Noting that a^b*a^c = a^(b+c), rewrite 3x^3x^3x^5x^5 as 3x^(3+3+5+5) = 3x^16.

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3 years ago
I’m once again asking for your Mathematical support!
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Answer:

Step-by-step explanation:

let x= hamburger

let y= hot dogs

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2 years ago
Find the missing value 16/20 = 100/x
diamong [38]
16/20 = 100/x
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3.) x = 125
Divide both sides by 4 to keep it even.
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3 years ago
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