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2 years ago

The difference between two consecutive cube numbers is always odd or even?

Mathematics

1 answer:

slavikrds [6]2 years ago

8 0

Answer:

odd

Step-by-step explanation:

take example of 2^3 +3^3 it's odd

now others try yourself

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If light travels 671,000,000 miles in one hour how many miles does it travel in one minute?

viktelen [127]

1 hr = 60 min

671,000,000 / 60 = 11183333.33 miles per minute

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

4 0

3 years ago

What is the length of the third side of the window frame ??

drek231 [11]

A^2+b^2=c^2
A=63
B=?
C=87
63^2+b^2=87^2
3969+b^2=7569
-3969 both sides
B^2=3600
Square root both sides
B=60in

5 0

2 years ago

Read 2 more answers

Question is in the picture

Thepotemich [5.8K]

Answer:

$9.00

Step-by-step explanation:

If the price is at 30% discount, this means it is 100-30 = 70% of the original price.

$70 \% \ of \ original \ price = \$ 6.30\\\\\ original \ price = 6.30 \div 70 \%\\\\= 6.30 \times \frac{100}{70}\\\\=\frac{630}{70}\\\\= 9$

Hence, original price is $9.00.

3 0

3 years ago

John gets a new job and receive a 500 signing bonus after he makes 200 a day

FromTheMoon [43]

Okay, I will start talking you through it, it'll be quick but I need your response. Just leave a comment! Loves,
-Brainiac224

5 0

2 years ago