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pochemuha
3 years ago
10

In the figure below, what are the lengths of “a”, “b”, and “c”? Round answers to nearest tenth.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

use a ruler to answer the question

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How is the series 5+11+17…+251 represented in summation notation?
NISA [10]

Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

  • Series 5+11+17+...+251

To find:

  • Summation notation of the given series

Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

  • Arithmetic Series

A series that has common difference.

  • Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

  • 11-5 = 6
  • 17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

5 0
2 years ago
HELPPPPPPPP HELPPPP<br> PLEASEEEE<br> I WILL MARK YOU BRILL
Greeley [361]
A
This app won't let me do short answer
3 0
2 years ago
Read 2 more answers
UPS charges $8 flat fee and $0.20 for each pound. FedEx charges $3 flat fee and
Natasha_Volkova [10]

Answer:

50 lbs

Step-by-step explanation:

UPS: 8 + .20p

FedEx: 3 + .30p

8 + .20p = 3 + .30p

8  = 3 + .10p

5  =  .10p

p = 50

4 0
3 years ago
Dry dog food is sold for $9.79 for a 5 pound bag. Dylan bought the bag of dog food to feed his 4 puppies for the next month. If
kotegsom [21]

Answer:

5÷4=1,25

each puppy will get 1,25 pound of dry dog food.

6 0
3 years ago
How do I solve these questions? <br> 5(1+9v)<br> 20b+12<br> -9/4r=-9/2
MatroZZZ [7]
5(1+9v) = 5+ 45v
20b+12= 4(5b+3)
And the last one is r=2
Hope this helps!
7 0
3 years ago
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