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Evgesh-ka [11]
3 years ago
7

Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

Mathematics
1 answer:
Nitella [24]3 years ago
4 0
Answer:

Explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)
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A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces. They have 422 square feet
Lesechka [4]

Answer:

169 sections

Step-by-step explanation:

A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces

The area of the 0.5×5 square foot pieces

Area= 0.5*5.

Area= 2.5 square feet

They have 422 square feet of floor on which to install the hardwood.

Number of sections to be purchased

= 422/2.5

= 168.8 sections

Approximately= 169 sections

6 0
3 years ago
Mason has a checking account. The bank charges 65¢ for each debit card transaction, 30¢ for each check he writes, and $2.50 for
Digiron [165]

Because Mason tried to balance $2.50 in is check register

hope that helps you

7 0
3 years ago
Can somebody help me with these to questions how do you find the area of the circle
Grace [21]

13)

Circumference (C) = 2π·r

11π = 2π·r

11/2 = r

******************************

Area (A) = π·r²

             =  π·(11/2)²  

            = 121π/4

           ≈ 94.985 in²

14)

diameter = 2r

          42 = 2r

           21 = r

*******************

Area (A) = π·r²

             =  π·(21)²  

            = 441π

           ≈ 1384.74 in²

***************************

$280/1384.74 in²

x = $0.20

Answer: about 20 cents per square inch

 



                     

6 0
3 years ago
Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sells for $6. Tanya buys
ch4aika [34]
Hey! Let's go through this.

If she has 42 dollars and she buys 3 $7 t-shirts, we can use multiplication to see that she spent 21 dollars on t shirts, meaning she has 42-21 dollars left, or 21 dollars left.

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Hope this helps!
6 0
3 years ago
Read 2 more answers
Problem
Ganezh [65]

Explanation is in the file

tinyurl.com/wpazsebu

8 0
3 years ago
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