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Irina18 [472]
4 years ago
7

Find the value of the variable 10 45

Mathematics
1 answer:
Ratling [72]4 years ago
3 0

Answer:

35.

Step-by-step explanation:

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a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that min
Dmitriy789 [7]

The box should have base 52 cm by 52 cm and height 26 cm.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.

The Volume of a box with a square base x by x cm and height h cm is

V = x^2h

Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.

The surface area of the box described is  A = x^2 + 4xh

We need A as a function of x alone, so we'll use the fact that

V = x^2h= 70304 cm^3

⇒ h = \frac{70304}{x^2}

So, the area becomes,

A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}

We want to minimize A, so

A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52

The second derivative test verifies that A has a minimum at this critical number:

A'' = 2+\frac{562432}{x^3}  which is positive at x = 52.

Now,

h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26

Hence, The box should have base 52 cm by 52 cm and height 26 cm.

To know more about volume, click on the link

brainly.com/question/463363

#SPJ4

8 0
2 years ago
Help please this is due Friday
alexdok [17]
X=0.697
x=4.30
Hope this helps
7 0
4 years ago
the mean monthly rent for a sample of studio apartments in one city is $1260 with a standard deviation of $230. the monthly rent
il63 [147K]

Answer:

$1743, $1973, $1789 and $685 are unusual data values. $1973 is very unusual data value.

Step-by-step explanation:

The data values will be unusual if the data values more than 2 standard deviations away from mean.

mean=1260

standard deviation=230

mean-2*standard deviation

1260-2*230

800

mean+2*standard deviation

1720

mean±2*standard deviation=(800,1720)

The values that don't lie in this interval will be unusual.

mean-3*standard deviation

1260-3*230

570

mean+3*standard deviation

1260+3*230

1950

mean±3*standard deviation=(570,1950)

The values that don't lie in this interval will be very unusual.

$1099 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1099 is not unusual.

$1651 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1651 is not unusual.

$1743 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1743 is unusual.

$1973 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1973 is unusual. Also,  $1973 don't lie in the interval mean±3*standard deviation and so it is more than the three standard deviation away from mean. So, $1973 is very unusual.

$846 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $846 is not unusual.

$1789 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $1789 is unusual.

$1398 lies in the interval mean±2*standard deviation and so it is within the two standard deviation away from mean. So, $1398 is not unusual.

$685 don't lie in the interval mean±2*standard deviation and so it is more than the two standard deviation away from mean. So, $685 is unusual.

5 0
4 years ago
Please Help!!!
zhuklara [117]
The correct answer is 3x = 42

There would be a total of 42/3 or 14 packages.
4 0
3 years ago
4 1/3 divided by 4/7 (answer using fraction)
sertanlavr [38]

Answer:

Step-by-step explanation:

Use KCF method

Keep the first fraction

Change division to multiplication

Flip the second fraction.

4\frac{1}{3} ÷ \dfrac{4}{7}

=\dfrac{13}{3}*\dfrac{7}{4}\\\\\\=\dfrac{91}{12}\\\\\\= 7\dfrac{7}{12}

8 0
3 years ago
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