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Rudik [331]
4 years ago
6

The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How fa

r did they travel in the five hours? How do you know? Explain (write a prportion)
Mathematics
1 answer:
Zinaida [17]4 years ago
6 0
(2 * 70) + (3 * 35) = 140 + 105 = 245 miles
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The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.
quester [9]

Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

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Put n=5 and a= 54 in (1), we get

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From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

3 0
4 years ago
What is 2+2÷4+34-2÷20= ____
Vadim26 [7]
Follow pemdas
2+(1/2) +34- (1/10)
2.5 + 34 - .1
36.5-.1
36.4
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