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disa [49]
2 years ago
12

Dr. Silas studies a culture of bacteria under a microscope. The function b_1(t)=1200(1.8)^t represents the number of bacteria t

hours after Dr. Silas begins her study.
The number of bacteria in a second study is modeled by the function b_2(t)=1000(1.8^t.
What does the value of 1000 represent in this situation?
What does the difference of 1200 and 1000 mean between the two studies?

The _ means the 1&2 is under the b
Mathematics
1 answer:
ch4aika [34]2 years ago
3 0

The value of 1000 represent the initial population of bacteria in the study and the difference of 1200 and 1000 mean difference between the initial populations in the studies.

<h3>What are exponential Function ?</h3>

Exponential functions are are written as y(x) = abˣ

Here

a is the initial population

b is the rate of growth or decrease

x is the time taken

The Given exponential function is

\rm b_1(t) = 1200( 1.8 )^t\\\\b_2(t) = 1000 (1.8)^t

From the standard equation of Exponential function

(a) a = 1200 and 1000 is the initial population of the bacteria

(b)The difference of 1200 and 1000 means the difference between the initial populations in the studies

To know more about Exponential Function

brainly.com/question/11487261

#SPJ1

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lutik1710 [3]

Answer:

E. (x³/360)π square units

Step-by-step explanation:

The area of a sector has a formula.

θ°/360° × πr²

The radius is x units, the central angle of the sector is x°.

x/360 × πx²

x/360 × x² × π

x³/360 × π

The area of the sector is equal to (x³/360)π square units.

8 0
3 years ago
You are putting together your first post-graduation budget. Your take-home pay will be $2,500 per month. You estimate your month
antiseptic1488 [7]

Based on the information provided, it can be inferred that our accounts have a deficit of $125.

<h3>How to calculate if our money is enough for our expenses?</h3>

To know if our money is enough for our expenses, we must carry out the following procedure:

Add up our expenses:

$900 + $550 + $200 + $250 + $75 + $100 + $400 + $150 = $2,625

Subtract the total expenses from our budget:

$2,500 - $2,625 = $-125

According to the above, it can be inferred that the budget of $2,500 that we have is not enough for the total expenses that we have, because it exceeds our income by $125.

Learn more about deficit in: brainly.com/question/4388973

3 0
2 years ago
A bag of marbles contains 6 blue marbles 2 yellow marbles, 4 red marbles, and I green marble. What is the probability of
Solnce55 [7]

Answer:

1:6

Step-by-step explanation:

6b +2y + 4r = 12 marbles

2Yellow out of 12 marbles = 2:12 = 1:6

7 0
3 years ago
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Step-by-step explanation:

you need to show us f(x)=log x graph so we can help

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Answer:

\frac{9x}{y^3}

Step-by-step explanation:

\frac{\left(3x^2y^4\right)^3}{3x^5y^{15}}

(3x^2y^4)^3 : 3^3x^6y^1^2

= \frac{3^3x^6y^{12}}{3x^5y^{15}}

\frac{3^{3} }{2} = 3^{2}

= \frac{3^2x^6y^{12}}{x^5y^{15}}

= \frac{x^{6} }{x^{5} } : x

= \frac{3^2xy^{12}}{y^{15}}

=  \frac{y^{12} }{y^{15} } : \frac{1}{3{y} }

= \frac{3^2x}{y^3}

3^2=9

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