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Norma-Jean [14]
3 years ago
10

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

Mathematics
2 answers:
gayaneshka [121]3 years ago
8 0
Use formula: an = a1 * r^(n-1)
a1 = 2, r = -2
a12 = 2 * -2^(12-1)
a12 = 2 * -2^11
a12 = 2 * -2048
a12 = -4096

Solution: -4096
Ainat [17]3 years ago
3 0

Answer: -4096

Step-by-step explanation:

I just did the lesson

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Solve (x+5)+4=16 by first subtracting 4 and then 5. Show your work and justify each step.
Vinil7 [7]
(x+5)+4=16\ \ \ subtract\ 4 \ and \ 5 \ to\ both\ sides \\\\x+5+4-5-4=16-4-5 \\\\x=7


3 0
3 years ago
C = .25t +3.50 in 'C' dollars for 't' minutes. How much does it cost to rent the canoe for 1 hour?​
yKpoI14uk [10]

Answer and Step-by-step explanation:

We know that t is in minutes, and 1 hours is equal to 60 minutes, so we plug in 60 for t.

C = 0.25(60) + 3.50

C = 15 + 3.50

C = 18.50

<em><u>The cost to rent the canoe is $18.50.</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

8 0
2 years ago
Read 2 more answers
Jason and Britton are driving to St. George. Jason got a 20 mile head start and drove an
harina [27]

Answer:

  2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

<h3>Separation distance</h3>

Jason got a head start of 20 miles, so that is the initial separation between the two drivers.

<h3>Closure speed</h3>

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

<h3>Closure time</h3>

The relevant relation is ...

  time = distance/speed

Then the time it takes to reduce the separation distance to zero is ...

  closure time = separation distance / closure speed = 20 mi / (10 mi/h)

  closure time = 2 h

Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

__

<em>Additional comment</em>

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

3 0
1 year ago
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length
inn [45]

Answer:

The original function is f(m) = 5(1.07)^m, with the m as an exponent

part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m

plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9

part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent

part C) average rate of change from m = 1 to m = 9

f(9)−f(1)9−1

evaluate, and think about what that represents in terms of height and number of months

8 0
3 years ago
Read 2 more answers
Robin can clean 727272 rooms in 666 days.<br> How many rooms can Robin clean in 999 days?
Finger [1]

Answer:

1,090,908

Find the half of 727272,then when you find the half,add it to 727272

>727,272÷2=363,636

>727,272+363,636=1,090,908

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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