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Nataly [62]
3 years ago
6

Write the following series in sigma notation. 4 + 13 + 22 +31 + 40 + 49 + 58​

Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Answer:

\sigma_{k = 0}^6 (4+9k)

Step-by-step explanation:

notice that the sequence is

a(k)=4+9k

for k=0,1,...,6

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Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)
ExtremeBDS [4]
<h3>hello!</h3>

=======================================================

The Distributive Property states the following:-

\longrightarrow\sf{a(b+c)=ab+ac

Where

\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}

Now, let's use this property to simplify our expressions.

The first one is

\bigstar{\underline{\boxed{{4(x+2)}}}

Simplify by distributing 4:-

\longrightarrow\sf{4~times~x~+4~times~2}

Add the products:-

\longrightarrow\sf{4x+8}

\rule{250}{2}

Solve the next one:-

\bigstar{\underline{\boxed{\sf{-5(9+x)}}}

Distribute -5 & add the products:-

\longrightarrow\sf{-45-5x}

\rule{250}{2}

Solve the last one:-

\bigstar{\underline{\boxed{7(x-3)}}

Distribute 7:-

\longrightarrow\sf{7x-21}

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

7 0
2 years ago
*50 Points* Please help
g100num [7]

52 ten cent coins, and you have 36 five cent coins.

Their sum is 700 cents which is equal to 7 dollars.

6 0
3 years ago
30 POINTS PLEASE HELP! GIVING BRAINLIEST :)
Liono4ka [1.6K]

Answer:

45

Step-by-step explanation:

6x+3x-9

Combine like terms

9x-9

Let x = 6

9(6) -9

Multiply

54-9

45

8 0
3 years ago
Read 2 more answers
A company has a break even point in revenue at 800,000. Variable costs are 60% of the revenue. If the company lost 40,000 last y
Norma-Jean [14]

Answer: A company has 440000 as revenue.

Step-by-step explanation:

Total revenue a company earned = 800000

Variable costs = 60% of revenue

So , variable costs becomes

\frac{60}{100}\times 800000\\=480000

Now, company lost = 40000

So, remaining revenue becomes

480000-40000=440000

So, a company has 440000 as revenue.

6 0
3 years ago
A pipe is 30 feet long. It needs to be cut into pieces that are each 2/3 feet long. How many pieces can be made from the pipe? W
salantis [7]
Divide total length by length of each piece to get the number of pieces.

= 30 ÷ 2/3
multiply by reciprocal of 2/3
= 30 * 3/2
= 90/2
= 45

ANSWER: Total number of pieces that can be cut is 45.

Hope this helps! :)
7 0
3 years ago
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