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2 years ago

A cylindrical juice container has the dimensions shown below.

Mathematics

1 answer:

Savatey [412]2 years ago

8 0

Answer:

C is the answer

Step-by-step explanation:

First find the area of the circle -

Use pi times r^2

Since the answers are in pi form, we just need to do the "r^2" part. 3 is the radius, so 3 x 3 = 9. Now that we have found the area of the circle, we will need to multiply the area of the circle by the height of the cylinder. (9pi)(9) = 81pi cubic units. 81pi cubic units is the answer.

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Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Which equation is graphed in the diagram below

Deffense [45]

Answer:

y=2x+2

Step-by-step explanation:

7 0

2 years ago

Solve x3 = 64 over 27.

const2013 [10]

x^3 = 64/27

x^3 = (4*4*4)/(3*3*3)

x^3 = (4/3)^3

x = 4/3

ans is d

5 0

2 years ago

Read 2 more answers

Mario ordered a pizza for dinner when it arrived Mario quickly ate 1/8 of the pizza or Mario's getting napkins his pet poodle at

Leya [2.2K]

Sent a picture of the solution to the problem (s).

6 0

2 years ago

PLEASE I NEED HELP NOW!!! IF CORRECT I WILL GIVE BRAINLIEST!!

Ira Lisetskai [31]

Answer:

- 4 4/5 *C

Step-by-step explanation:

12:00-6:00 is 6hrs

7/10*6 = 42/10 = 4 1/5

1 - 4 1/5 = - 4 4/5

4 0

2 years ago