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Troyanec [42]
3 years ago
11

In a lab experiment, 60 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub

le every 21 hours. How long would it be, to the nearest tenth of an hour, until there are 107 bacteria present?
Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

17.5 hours

Step-by-step explanation:

107 = 60(2^n)

n(lg2) = lg(107/60)

n = 0.8345763908 × 21

n = 17.52610421 hours

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Please find the square roots of the following complex number.
Nana76 [90]

Hey there,

First, find the square root of the given equation.

\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})

Best of Luck!

6 0
3 years ago
X^2+43xy+590y^2 resolve into factors​
Natalija [7]

Step-by-step explanation:

We have:

x - y = 43 , xy = 15

To find, the value of x^2+y^2x

2

+y

2

= ?

∴ x - y = 43

Squaring both sides, we get

(x - y)^2(x−y)

2

= 43^243

2

⇒ x^2+y^2x

2

+y

2

- 2xy = 1849

Using the algebraic identity,

(a - b)^2(a−b)

2

= a^2+b^2a

2

+b

2

- 2ab

⇒ x^2+y^2x

2

+y

2

= 1849 + 2xy

Put xy = 15, we get

x^2+y^2x

2

+y

2

= 1849 + 2(15)

⇒ x^2+y^2x

2

+y

2

= 1849 + 30

⇒ x^2+y^2x

2

+y

2

= 1879

∴ x^2+y^2x

2

+y

2

= 1879

I will send hint follow this hint then slove it .

thankyou

7 0
3 years ago
GEOMETRY HELPP 15 POINTS - PICTURE INCLUDED
Gnom [1K]
Side GF^2 = 144 -100
Side GF^2 = 44
Side GF = 2*sqrt(11)
Side GF = 6.6332
Perimeter = 6.6 + 10 + 12
Perimeter = 28.6
Answer is 29 units



4 0
3 years ago
Read 2 more answers
What is the scale factor from figure A to figure B?
Andrej [43]

Answer:

hi its simple.

Step-by-step explanation:

9;3

or simplified...

3;1

3 0
3 years ago
Read 2 more answers
How do we find the breadth of square if perimeter and length is given
madreJ [45]

Answer:

A square has 4 sides of equal length, so if you have been given the length, this is also the breadth.

Therefore, the perimeter is 4 x side length.

For example, imagine a square with side length 3 cm.  As all four side lengths are equal, the perimeter would be 4 x 3 cm = 12 cm

3 0
2 years ago
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