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3 years ago

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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Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t

gayaneshka [121]

ANSWER

$( - \frac{23}{5} , - 4)$

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

$x = \frac{ mx_2+nx_1}{m + n}$

$y= \frac{ my_2+ny_1}{m + n}$

Where m=3 and n=2

$x = \frac{ 3 ( - 9)+2(2)}{3+ 2}$

$x = \frac{ - 23}{5}$

$y= \frac{ 3( - 6)+2( - 1)}{3 + 2}$

$y= \frac{ - 20}{5} = - 4$

The point is

$( - \frac{23}{5} , - 4)$

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3 years ago

Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fan

Deffense [45]

Answer:

E) 176

Step-by-step explanation:

The difference in ratio units is 5 -3 = 2. If one ratio unit changes sides, the ratio will be 4 : 4, or 1 : 1. Then one ratio unit represents 22 group members.

There are a total of 5+3 = 8 ratio units, so there are ...

8 × 22 = 176

people in the group.

_____

<em>Check</em>

The original group has 5 × 22 = 110 Yankees fans and 3 × 22 = 66 Dodgers fans, for a total of 110+66 = 176 group members. If 22 switch sides, there will be 110-22 = 88 Yankees fans and 66+22 = 88 Dodgers fans, making the ratio ...

88 : 88 = 1 : 1

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3 years ago

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