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Valentin [98]
2 years ago
9

The first term of a geometric sequence is 10,000 and the common ratio is 0.4. What

Mathematics
1 answer:
Misha Larkins [42]2 years ago
7 0

a = 10000

r = 0.4 = 4/10 = 2/5

a_9 = ar^8 = 10000 × 2^8/5^8

a_9 = 10000 × 256/(25 × 25 × 25 × 25)

a_9 = 6.5536

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3 years ago
write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer
USPshnik [31]

Answer:

y = 6/5 x-1  slope intercept form

6x-5y = 5  standard form

Step-by-step explanation:

We have the points  (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

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 = (-7+1)/(-5-0)

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We also have the y intercept ( when x=0)  It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form  ax+by = C

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-6x+5y = 6x-6x-5

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4 0
3 years ago
Mr. Herrera is going to
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Answer:

Mr. Herrera will hike 78 miles on 6th day.

Step-by-step explanation:

Given:

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By Using Unitary method we get,

Number of miles Mr. Herrera will hike in 1 days= \frac{117} {9}=13\  miles

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Number of miles Mr. Herrera will hike on 6th day= Number of miles Mr. Herrera will hike in 1 days \times Number of days = 13 \times 6 =78

7 0
3 years ago
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