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notka56 [123]
2 years ago
6

I need to find the 9th term of this sequence

Mathematics
1 answer:
Sindrei [870]2 years ago
8 0

9514 1404 393

Answer:

  26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

  an = (a1)r^(n-1)

The first term is 4, so we have ...

  an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

  a9 = 4·(-3)^(9-1) = 4·3^8

  a9 = 26,244

_____

<em>Additional comment</em>

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

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Cylinder a has a height of 8 cm cylinder b has a height of 12 find the surface area​
Olegator [25]

Answer:

You can't answer the question. It is missing essential information. What is the radius of the circle at the end of the cylinder.

Step-by-step explanation:

have a good day

5 0
2 years ago
Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca
VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

  • Max earned a total of $162 working at two jobs
  • He worked 6 hours at his grandfather's store
  • He worked 10 hours at the local  movie theater
  • g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local  movie theater

∴ He earned from the local  movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0
3 years ago
Nico can do 42 push-ups in 3 minutes.
Alchen [17]

Step-by-step explanation:

Hey there!

It is said we need to find the unit rate.

What we can do is apply Unitary Method.

3 minutes = 42 push ups

1 minute = \sf{\bf{\dfrac{42}{3}}}

<u>So, 12 push ups per minute is the unit rate.</u>

In 5 minutes, he will do 12×5 = <u>60 push ups!</u>

Hope it helps :)

4 0
2 years ago
What is the value of the shown expression? 33 x 3-2 A) -54 B) -243 C) 243 D) 3
alex41 [277]

We have the following general rule for exponents:

a^n\cdot a^m=a^{n+m}

then, in this case we have the following:

3^3\cdot3^{-2}=3^{3+(-2)}=3^{3-2}=3^1=3

therefore, the answer is 3

4 0
1 year ago
How to use original price and markup to find retail price? Original price is $62 and %15 mark up.. What's the retail price?
Sonbull [250]

Answer:

pretty sure its $72.94

Step-by-step explanation:

6 0
2 years ago
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