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Varvara68 [4.7K]
3 years ago
10

Se sabe que el septimo termino de una progresion geometrica es 3 ya la razon es 1/2. Se desea saber cual es el valor del primer

termino.
Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Respuesta:

192

Explicación paso a paso:

                       aₙ = a₁*rⁿ⁻¹

  • Hallando termino 1

           a₇ = 3

           r = 1/2    

          a₁ =  ?

                           a₁ =  aₙ / rⁿ⁻¹

                           a₁ = 3 / (1/2)⁷⁻¹

                           a₁ = 192

Verificación;

 n          aₙ    

 1       192

 2       96

 3       48

 4       24

 5        12

 6          6

 7          3           ✔

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I do not understand this at all, can someone please help me with the steps in each question
Mandarinka [93]

Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

1) Alexandra

swim time = distance / velocity = 1.5 / 5 = 0.3 hr = 18 min

transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

6 0
3 years ago
What is the value of x in the equation 3(2x+8)=0
maxonik [38]

Answer:

x = -4

Step-by-step explanation:

3(2x+8)=0

Divide each side by 3

3/3(2x+8)=0/3

2x+8 = 0

Subtract 8 from each side

2x+8-8=0-8

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

7 0
3 years ago
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a
Leno4ka [110]
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?

A. The letter t occurs less than 26 times on approximately 170 of these pages. 

B. The letter t occurs less than 26 times on approximately 15 of these pages. 

C. The letter t occurs more than 26 times on approximately 420 of these pages. 

D. The letter t occurs more than 26 times on approximately 80 of these pages.

.Answer: 
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<span>sd = 18 </span>
<span>that means that "26" is 1 s.d. down, or at the 16th %ile </span>


<span>so, there is a .16 chance that "t" will occur less than 26 times on any single page. </span>
<span>consequently, there is a .84 chance that it will occur more than 26 times on any single page. </span>

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4 0
4 years ago
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SVETLANKA909090 [29]

Answer:

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