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3 years ago

What is the cube root of 8

Mathematics

1 answer:

alina1380 [7]3 years ago

6 0

Answer:

its 2

Step-by-step explanation:

because 2*2*2 is 8

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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

Mohamed surveyed his class on their favorite candy bar. 8 picked Snickers. 6 picked Kit Kats. 6 picked Milky Ways. If he applied

Gnom [1K]

Answer:

600:450:450

Step-by-step explanation:

8+6+6= 20

1500/20=75

8*75= 600

6*75= 450

6*75=450

Check:

600/75= 8

450/75= 6

450/75=6

3 0

2 years ago

90 plus what equals 395

rodikova [14]

305 plus 90= 395. Found by doing 395-90

5 0

3 years ago

Read 2 more answers

Using any five itegers from 1 to 10 what is the greatest possible mean of the 5 numberes if the median is 4?

BartSMP [9]

That would a set of 5 numbers in ascending order with 4 being the middle one and the other 4 being the highest possible So it is

2, 3, 4, 9, 10

Mean is 28/5 = 5.6 answer

( I am assuming that each number is different)

Of duplicates is allowed then its 4 4 4 10 10 whose mean is 6.4

5 0

2 years ago

A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact pro

Brrunno [24]

Answer:

$\frac{3}{13}$

Step-by-step explanation:

First you need to find how many marbles there are in total, so 3+8+2= 13

The probability of the marble being red is $\frac{3}{13}$ then

Hope this helps! :)

6 0

2 years ago

Read 2 more answers

What is the cube root of 8​

What is the cube root of 8