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Evgen [1.6K]
3 years ago
11

A colony of 1000 bacteria doubles in every 8 minuets. what will the population 16 minuets from now​

Mathematics
1 answer:
topjm [15]3 years ago
6 0
After 8 minutes it would be 2000, so after 16 it would be 4000
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The answer would be b or number 12
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Find the value of n so that the line perpendicular to y = (-1/3)X-4 passes through the points (n. 6) and (4,15).
iogann1982 [59]

Answer:

1

Step-by-step explanation:

The slope of the perpendicular is the negative inverse of the slope of the line.

m = -1 / (-⅓)

m = 3

The slope between the two points is 3, so:

3 = (15 − 6) / (4 − n)

3 (4 − n) = 9

4 − n = 3

n = 1

7 0
2 years ago
The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what
vladimir1956 [14]

Answer:

x = 12

Step-by-step explanation:

Perimeter of a square:

The perimeter of a square of side x is given by:

P_s = 4x

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

P_r = 2(l + w)

The length of the sides of a square measure 2x-5.

This means that the perimeter of the square is:

P_s = 4(2x - 5) = 8x - 20

The length of a rectangle measures 2x, and the width measures x + 2.

This means that the perimeter of the rectangle is:

P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4

For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

This is x for which:

P_s = P_r

So

8x - 20 = 6x + 4

8x - 6x = 20 + 4

2x = 24

x = \frac{24}{2}

x = 12

3 0
2 years ago
Q1.
Alinara [238K]

Answer:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

Step-by-step explanation:

In order to find the smallest number of units that would be possible to buy, find the least common multiple between the number of units in each box:

12\ \ 10\ \ 6\ |2\\6\ \ \ \ 5\ \ \ 3\ |2\\3\ \ \ \ 5\ \ \ 3\ |3\\1\ \ \ \ 5\ \ \ 1\ |5\\1\ \ \ \ 1\ \ \ 1\ | = 2*2*3*5=60

The number of boxes required for each item to get 60 units is:

d=\frac{60}{12} = 5\ boxes \\p=\frac{60}{10} = 6\ boxes \\r=\frac{60}{6} = 10\ boxes

the smallest number of boxes of each item he could buy is:

5 boxes of diaries

6 boxes of pencils

10 boxes of rulers

8 0
3 years ago
Nine more than the quotient of 2 and a number of x
Naddika [18.5K]

Answer: 9 + 2/x - x = -19

4 0
3 years ago
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