3 years ago

What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?

Mathematics

1 answer:

UkoKoshka [18]3 years ago

7 0

2+6+18+54+162+486+1458+4375=6561

you multiply the previous number by three to find the next value

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Answer: 954

Step-by-step explanation:

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Find the slope of the line through (-1,1) and (3, -4)

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Answer:

= -5/4

Step-by-step explanation:

The slope through two points can be found by

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

= (-4-1)/(3--1)

= (-4-1)/(3+1)

= -5/4

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Ericka's book is 675 pages long and she has read 325 pages so far. If Ericka reads 80 pages per day,

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3 years ago

At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This

dybincka [34]

Answer:

$D(t)=50(0.8)^t$

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

$r=\frac{1}{5}/min$

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

$D(t)=a(1-r)^t$

Substitute the values

$D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t$

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How long will it take me to get 5 nonillion if I get 257.21 septillion per second?

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Step-by-step explanation:

1 septillion = 10^6 nonillion

the taking time = 5× 10^-6 / 257.21

= 500× 10^-8 /257.21

= 1.94 × 10^-8 seconds

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