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ivann1987 [24]
3 years ago
6

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

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weqwewe [10]

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

<u>Step(ii):-</u>

<em>The general form of the parabola in algebraically</em>

<em>                               y = a ( x-h)² +k</em>

<em>The equation </em>

<em>                           y = 4 ( x + 7 )² - 4</em>

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

<u>Final answer:-</u>

The vertex of the parabola  = (-7 , -4)  

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2 years ago
If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 an
Elza [17]

Answer:

See explanation

Step-by-step explanation:

1. R is the set of all integers with absolute value less than 10, thus

R=\{a\in \mathbb{Z}\ :\ |a|

2. A is its subset containing all natural numbers less than 10, thus

A\subset R\\ \\A=\{b\in \mathbb{N}\ :\ b

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B\subset R\\ \\B=\{c\in \mathbb{Z}\ :\ 2c+5

See the diagram in attached diagram.

Note that

A\cup B=R\\ \\A\cap B=\{1\}.

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ElenaW [278]
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