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Ronch [10]
3 years ago
6

(4n+4)(5n-8)

Mathematics
1 answer:
joja [24]3 years ago
3 0
Hello there!

(4n + 4)(5n-8)
First,we need to distribute
(4n)(5n)+(4n)(-8)+(4)(5n)+(4)(-8)
20n² -32n + 20n - 32
20n² -12n - 32



Yes,you did it right. Good job!
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Use long division to convert the rational number to its equivalent decimal form. Upload a document showing all your work. 5/8
Hatshy [7]

Answer:

1.600    

dont forget to press the crown:)

Step-by-step explanation:

We have the equation:

8 ÷ 5 = 1.600

Calculated to 3 decimal places.

 1. 6 0 0

5 8. 0 0 0

− 5      

 3 0    

− 3 0    

   0 0  

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3 years ago
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Ali receives a 10% pay
DiKsa [7]

Answer:

95.04 pounds

122.54 US dollars

Step-by-step explanation:

I had to do the math in US dollars first then turn it into pounds.

All you do is this

136.16 * -.10 (US dollars)

13.616(US) 10.56(pounds)

Subtract 13.616 from 136.16 to get

122.544 or 122.54 (US)

95.04(pounds)

It might be a bit confusing, but the answers are up top.

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3 years ago
What are domain restrictions for this context
VikaD [51]

Answer:idk

Step-by-step explanation:I just got here

6 0
3 years ago
A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid
Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = 2 \times width

Base area = lb

= 2x^2

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}

Now, cost is

= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}

now we have to minimize C(x)

So, we need to compute the C'(x)

= 52x - \frac{648}{x^2}

C"(x)  = 52x - \frac{1,296}{x^3}

now for the critical points, we will solve the equation C'(x) = 0

= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}

C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0

So, x is a point of minima that is

= (\frac{648}{52} )^\frac{1}{3}

Now, Base material cost is

= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}

= 139.75

Side material cost is

= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3}  }

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

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3 years ago
What is (f-g)(x)?<br><br> f(x)=x^4-x^2+9<br> g(x)=x^3+3x^2+12
sweet-ann [11.9K]
X^4 - x^2 + 9 - (x^3 + 3x^2 + 12) =

x^4 - x^3 - 4x^2 - 3
6 0
3 years ago
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