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ser-zykov [4K]
3 years ago
14

A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before tr

eatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?
A. f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

B. f(x) = 5000(0.6)x, with a vertical asymptote of x = 0

C. f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0

D. f(x) = 5000(1.6)x, with a vertical asymptote of x = 0

Biology
2 answers:
horrorfan [7]3 years ago
8 0
"f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0" is the one among the following choices given in the question that <span>best describes the graph of the function that represents the number of live bacteria after x days of treatment. The correct option among all the options that are given in the question is the first option or option "A".</span>
agasfer [191]3 years ago
7 0

Answer:

The correct option is A.

Step by step explanation:

The exponential function is defined as

f(x)=ab^x

Where, a is initial value and b is growth factor or decay factor.

The initial population of bacteria is 5000.

After each day of treatment, 40% of the sample remains alive. It means the growth factor or decay factor is

\frac{40}{100}=0.4

Therefore the required function is

f(x)=5000(0.4)^x

The horizontal asymptote is y=0 because

f(x)\rightarrow 0\text{ as }x\rightarrow\infty

Therefore option A is correct.

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Answer:

1. 294N

2. 294N

3. 19.6N

4. 19.6N

5. 4.9N

6. 4.9N

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8. 185N

Explanation:

The weight of an object is the force that gravity is having over it, and we measure it in <u>Neutowns (N), which equals Kg x m/s².</u>

To find the weight of an object, we use the formula F= m x g.

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1. We use the formula F=m x g

F= 30kg x 9.8 m/s²

F= 294 N

2. We have to convert the 30000g into kg to use the formula

30000÷1000= 30kg

30000g equals to 30Kg, so the object's mass (m) is 30Kg.

F= m X g

F= 30kg X 9.8 m/s²

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F= 19.6 N

4.We have to convert the 2000g into Kg.

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The object's mass (m) is 2Kg.

F= m X g

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F= 4.9 N

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The object's mass (m) is 0.5 kg

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F= 80N

8. The gravity (g) on Mars is 3.7 m/s², so we have to use it in the formula where it says g to find the object's weight on Mars

F= 50Kg X 3.7m/s²

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