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Ilya [14]
3 years ago
11

HELP PLSSS

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

LINE D

Step-by-step explanation:

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At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
3 years ago
Which is equivalent to the expression below?<br> 8 + 3x - 3 + 8x
telo118 [61]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
City Tours rents bicycles for $10 an hour with a maximum daily fee of $100. Bicycles must be returned the same day they are rent
Vesna [10]

The domain of the function can be represented using set-builder notation as follows: {x | x is a positive integer}. The range of the function can be represented using inequality notation as follows: 0 ≤ y ≤ 100.

<h3>What are the domain and range of the function?</h3>

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Part A:

Hours Cost

1  10

3  30

11  100

20  100

Part B:

The domain of the function that represents the cost of renting a bicycle is the set of all possible values of the number of hours the bicycle is rented for. In this case, the domain is the set of all positive integers, because the bicycles must be returned the same day they are rented.

The range of the function is the set of all possible values of the cost of renting the bicycle. In this case, the range is the set of all non-negative numbers less than or equal to 100, because the maximum daily fee is $100.

Part C:

The domain of the function can be represented using set-builder notation as follows:

{x | x is a positive integer}

The range of the function can be represented using inequality notation as follows:

0 ≤ y ≤ 100

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

3 0
1 year ago
What fraction does This Model represent
garik1379 [7]

Answer:

it represents 3 5/6

Step-by-step explanation:

because there are 4 cirles and 3 of them are shaded in so thats 3 wholes and the 4th cirle is all shaed except that 1 so its 3 5/6

4 0
3 years ago
Read 2 more answers
Select the correct answer. Consider functions h and k. What is the value of ?
Galina-37 [17]

Answer:

Option (C)

Step-by-step explanation:

If two functions are f(x) and k(x),

(f o g)(x) = f[g(x)]

From the question given in the picture attached,

We have to find the value of (h o k)(1).

(h o k)(x) = h[k(x)]

              = h[k(1)]

              = h(3) [Since, k(1) = 3]

              = 28 [Since, h(3) = 28]

Therefore, (h o k)(1) = 28 will be the answer.

Option (C) will be the correct option.

7 0
3 years ago
Read 2 more answers
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