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Juliette [100K]
3 years ago
10

A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho

w long it takes for the bacteria cells to increase to 300.
Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer

It will take (t) = 24 hours to reach 300 .

Step by step explanation

It doubles every 15 hours.  initial bacteria = 100

We need to find how long it take for the bacteria cells to increase to 300.

300 = 100(2)^t/15

300/100 = 2^t/15

3 = 2^t/5

Taking "ln" both sides, we get

ln(3) = t/15 ln(2)

t/15 = ln(3)/ln(2)

t/15 = 1.585

t = 1.585 * 15

t = 23.78 hours

t = 24 hours to nearest whole hours.

Thank you.


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Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is negative 9. The distance between point A and point B is 15 uni
kumpel [21]

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

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and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

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Now the possible coordinate values of point A are;

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270 degree rotation clockwise: convert (x, y) to (-y, x).

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360 degree rotation: This changes nothing. This basically means that the figure spins in a full circle only to return to its previous position.

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