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alexandr1967 [171]
4 years ago
12

Suppose a culture of bacteria starts with 8000 bacteria. After one hour, the count is 9000. Find an exponential equation that mo

dels the number of bacteria in hours. Keep at least 4 decimal places in your formula for rounded values. Find the doubling time of the bacteria. Round the doubling time to the nearest 0.01 hours.
Mathematics
1 answer:
Phoenix [80]4 years ago
7 0
The exponential equation would be 8000 (1.125)^t where t represents the number of hours. If you want to find the doubling time of the bacteria, you would put the equation like this: 8000 (1.125)^t = 16000. 
1) 1.125^t = 2
2) log_1.125(2) = t
3) t = 5.8849491924
Rounding the time to the nearest 0.01 hours would give you 5.88 hours. 
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Florences monthly take home pay is $5000 and her monthly rent is $900. If both her monthly and take home lay and her rent increa
max2010maxim [7]
If 5000 gets increased by 200, then you end up with 5200.

if 900 gets increased by 200, then it'd be 1100.

so in short, if we take 5200 to be the 100%, what is 1100 in percentage from it?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
5200&100\\
1100&p
\end{array}\implies \cfrac{5200}{1100}=\cfrac{100}{p}\implies p=\cfrac{1100\cdot 100}{5200}
5 0
3 years ago
I need an answer to 2. a and b and 3. a
Katen [24]

The square of an odd number:

We're to conjecture, not do algebra, apparently.  1²=1, 3²=9, 5²=25, 7²=49, ...

We conjecture the square of an odd number is odd.

The product of two evens and an odd:

Again, we'll run some examples.

(2)(2)(1)=4

(2)(4)(3)=24

(4)(6)(5) =120

(4)(8)(1)=32

Conjecture: The product of two evens and an odd is a multiple of 4


Counterexample: The product of two fractions is never an integer

How about

3/4 × 4/3 = 1


4 0
4 years ago
- What is 5) 11 written as a decimal?
Vlada [557]

Answer:

Step-by-step explanation:

11 written as a decimal is

0.11

move the point from 11 over to right two times (;

4 0
3 years ago
Nor has a piece of ribbon that is 3/4 yard long. She will use 1/2 of it to make a bow.what length of the ribbon will she use for
V125BC [204]
She will use 13.5 Inches of ribbon for the bow
5 0
3 years ago
Factor: 10x^3-35x^2-12x+42<br><br> I'll give brainliest :) but please show all work.
alexandr402 [8]

Answer:

\left(2x-7\right)\left(5x^2-6\right)

Explanation:

\hookrightarrow\sf 10x^3-35x^2-12x+42

using associative property, separate

\hookrightarrow\sf \left(10x^3-35x^2\right)+\left(-12x+42\right)

take common term, factorise

\hookrightarrow\sf 5x^2\left(2x-7\right)-6\left(2x-7\right)

final answer

\hookrightarrow\sf \left(2x-7\right)\left(5x^2-6\right)

5 0
2 years ago
Read 2 more answers
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