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dem82 [27]
3 years ago
13

He output is five less than triple the input

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0
Input usually means x and output is y
So triple mean 3
You have 3x than
Output is means y=
Y=3x is what we have now
So five less is -5
Y=3x-5 should be the final answer
Hope this helps!
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Answer:

(a) a_n=1+\frac{1}{6}(n-1)

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}

Here, a_1=1,a_7=2

So,

a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}

Therefore, the explicit definition of the above sequence is given as:

a_n=1+\frac{1}{6}(n-1)

Where, a_n is the miles covered on n^{th} day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi

Therefore, the number of miles covered by her on day 19 is 4 miles.

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3 years ago
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Instructions: The following is the recorded earthquakes on South Carolina from August, 2016 to February, 2017. Use the data to f
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Step-by-step explanation:

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

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Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

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