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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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kodGreya [7K]
For each answer, we can plug in the given points:

A) is technically the same as B), but B) expresses correct function notation.

B) 5 = 5(1) ⇒ 5 = 5
     25 = 5(2) ⇒ 25 ≠ 10
     B) is incorrect.

C) I'm not sure what you mean y=5^5=x, but I'm going to use y=5^{x} because it's close to what you wrote:
5=5^{1} =\ \textgreater \ 5=5 \\ 25=5^{2} =\ \textgreater \ 25=25 \\ 125=5^{3} =\ \textgreater \ 125 = 125 \\ 625=5^{4}=\ \textgreater \ 625=625 \\ 3125=5^{5}=\ \textgreater \ 3125=3125
The function y=5^{x} works for the points given.

D) 5 = 1 + 5 ⇒ 5 ≠ 6
     D) is not correct.

Please check your functions; I'm not sure that C) is a function.  In any case, the answer is C) because all the other answers are wrong.
6 0
3 years ago
What is -4=r/20-5? <br> Is it r=20
castortr0y [4]

Answer:

r = 20

Step-by-step explanation:

-4 = r/20 - 5

-4 + 5 = r/20 - 5 + 5

1 = r/20

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6 0
3 years ago
What is the solution to the inequality?
nika2105 [10]
7x + 18 > -3

Subtract 18 from both sides, 
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Divide from 7, 
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In short, Your Answer would be Option D

Hope this helps!
7 0
3 years ago
Read 2 more answers
Complete the ordered pair for the given equation. (_,-1);y=-3/5x-7
Fiesta28 [93]
Hi!

So for this problem, we're given the y-coordinate and we can plug that in for y in the equation. So let's do that

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6 = -3/5x
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The missing coordinate would be x, assuming that the equation was y = (-3/5)x - 7

3 0
3 years ago
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Maksim231197 [3]

Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!

5 0
2 years ago
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