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4 years ago

What is the volume of the tissue paper in the packaging box?

Mathematics

1 answer:

nalin [4]4 years ago

5 0

THe volume of the larger box is 2.1^3 times that of the ssmaller one

So Volume larger = 24 * 2.1^3 = 222.264 cm^3

Therfore volume of the tissue paper = 222.264 - 24 = 198.264 cm^3 Answer

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All students = 700

Sedaia [141]

Answer:

See below

Step-by-step explanation:

Given:

Total number = 700
Off grid class = 450
Online class = 320
Both = 275

Based on the given we find the following

1) Off-grid class only:

450 - 275 = 175

3) Online class only:

320 - 275 = 45

2) None of the classes:

700 - (175 + 275 + 45) = 205

4) Not online:

700 - 320 = 380

5) Not off-grid:

700 - 450 = 250

7 0

3 years ago

Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and pro

NARA [144]

Answer:

percentage of professional professor are 75

Step-by-step explanation:

Given data

academic professors A = 60%

professors tenured P = 70%

professors at Paracelsus University = 90%

to find out

what percent of the professional professors

solution

we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40

because here

total = A + P - both

90 = 60 + 70 - both

both = 40

so professors tenured will be here 70 - 40 = 30

percentage of professional professor are = 30 / 40 × 100

percentage of professional professor are 75

5 0

3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

When I evaluate m=2 , h=1 then what would mh+3 would be?

Andrei [34K]

Answer:5

Step-by-step explanation: since you know that m=2, and h=1, mh is the same as m × h, or 2×1. Which is equal to 2, you then add 3 to get your answer

7 0

3 years ago

I need help on 9 11 14 and 16

TEA [102]

Answer:

For 9 the answer is (4)

For 11 the answer is (5)

For 14 the answer is (4)

I cant see number 16 so maybe retake the photo thanks!

Step-by-step explanation:

9. squares have two sets of parallel lines

11. The only quadrilateral that has 3 different side lengths on this list is a trapezoid

14. It has no right angles meaning its not a square or rectangle. It has two sets of parallel sides meaning its not a trapezoid, and since it gives two different side lengths its not a rhombus since all sides muse be congruent to be a rhombus. The only one that matches is 4 a parallelogram

7 0

3 years ago