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topjm [15]
3 years ago
7

The smithsons are going to Dallas,TX on vacation. They have traveled 1/3 of the total distance. If they traveled 126 miles,how f

ar is it from their house to Dallas?
Mathematics
1 answer:
Ronch [10]3 years ago
6 0
If 1/3 is 126 miles, then the total distance will be 3 times as much. So just doing:

126 * 3 = 378 miles.

Gives us the answer 378 miles. This is an intro to inverse functions which will come later.
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Read 2 more answers
Determine whether the sequence converges or diverges. If it converges, give the limit.
vaieri [72.5K]

Answer:

The given series converges and \lim_{n \to \infty} a_n =0

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: \lim_{n \to \infty} a_n

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7 0
3 years ago
Solve using the pathagorean theorem​
REY [17]

Answer:

b=45^1/2

Step-by-step explanation:

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2 years ago
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natita [175]

answer:

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3 years ago
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