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3 years ago

3 times (2+4)to the power of 2 -2

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

106

How i found this answer:

i searched it on google.

Your welcome :D

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Two numbers have a difference of 17 and a sum of 23 which system of equations can be used to determine x and y the two numbers?

olga nikolaevna [1]

Answer:

Step-by-step explanation:

5 0

2 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

4 0

2 years ago

What is the answer to this question?

Strike441 [17]

Answer:

10 segments

Step-by-step explanation:

AB, BC, CD, DE, AC, AD, AE, BD, BE, CE

6 0

3 years ago

Read 2 more answers

Simplify √18a^3b^5<br> A - 18ab√ab<br> B - 2ab^2√3ab<br> C - 3a^2b^3√2<br> D - 3ab^2√2ab

sveta [45]

Square root 270 a^2 b^2

3sq root 30 a^2b^

5 0

2 years ago

(5m 2 - 2m + 1)(3m - 4)

nirvana33 [79]

15m ^3 - 26m^2 +11m - 4 is the result of the product.

(5m^2 -2m +1)(3m-4)
On opening the bracket, we multiply the terms,
= 15m^3 -6m^2 +3m -20m^2+8m -4
= 15m ^3 - 26m^2 +11m - 4
This is the result of the product
When we mutiply the two equations.

4 0

3 years ago