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Contact [7]
3 years ago
14

A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria

Mathematics
2 answers:
ryzh [129]3 years ago
7 0

Using an exponential function, it is found that the hourly growth rate of the bacteria culture is of 14.9%.

------------------------

An exponential function has the following format:

A(t) = A(0)(1+r)^t

In which:

  • A(0) is the initial amount.
  • r is the hourly growth rate.

------------------------

Since it doubles every 5 hours, it means that:

A(5) = 2A(0)

And we use this to find r.

------------------------

A(t) = A(0)(1+r)^t

2A(0) = A(0)(1+r)^5

(1 + r)^5 = 2

\sqrt[5]{(1 + r)^5} = \sqrt[5]{2}

1 + r = 2^{\frac{1}{5}}

1 + r = 1.149

r = 1.149 - 1 = 0.149

0.149*100% = 14.9%.

The hourly growth rate of the bacteria culture is of 14.9%.

A similar problem is given at brainly.com/question/24218305

nataly862011 [7]3 years ago
3 0

Answer:

10

Step-by-step explanation:

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Find BD.<br> help me pls
Anna [14]

Answer:

16

Step-by-step explanation:

We can see that Ar is the perpendicular bisector of chord BD. Since A is the center of the circle, AR is the radius of the circle, which is 10 (6+4)

Next, we can see that when we connect point A to point D, it is also a radius. Thus, AD is also equal to 10 as the radius of the circle remains the same.

Using Pythagoras theorem, a^2 + b^2 = c^2, we can make a right angled triangle of ACD.

AC = 6 = a

CD = ? = b

AD = 10 = c

10^2 = 6^2 + b^2

b^2 = 10^2 - 6^2 = 64

b = CD = 8

Now, since Ar is the perpendicular bisector of chord BD, BD = CD x 2

BD = 8 x 2 = <u>16</u>

5 0
2 years ago
Find the area of a parallelogram with height 4 4/5 and base is 5 2/3
AlexFokin [52]
This parallelogram has an area of 27.17.

To find this you use the formula a = bh

So when you fill in base (b) and height (h) with the values provides you get the formula a = 5.66 x 4.8 then you just multiply those two numbers together. If you don't understand any part of this, please let me know and I will explain in more detail.
6 0
4 years ago
Read 2 more answers
Answer this question step by step​
KiRa [710]

I hope this help you

3 0
3 years ago
Using Euclid's division algorithm prove that : 847,2160 are co-primes
AysviL [449]
Definition of eo-primes or relatively primes: Two numbers are said to be co-prime or relatively prime If their HCF IS 1 Hence to prove 847 and 2160 as co-prime numbers we will find their HCF and which should be 1

New steps to find HCF will be as under

2160 = 847 x 2+ 466
847 = 466 ×1 +381
466 = 381 x 1 + 85
381 =85 x 4+ 41
85 =41 x 2+3
41 =3 x 13+ 2
3 =2 x 1+1
2 =1 x 2+0

Therefore, the HCF=1 Hence, the numbers are co-primes (relatively prime).
5 0
3 years ago
Temperature in degrees Fahrenheit can be converted into degrees Celsius using the formula C=5(F-32)/9
aksik [14]

Answer:

F= (9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

make F the subject of the formula= isolate F

5(F-32)=9C

5F-160=9C

5F=9C+160

F= (9C+160)/5

check: a, b, c are all positive integers (a=9, b=160, c=5)

8 0
3 years ago
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