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Contact [7]
3 years ago
11

A. When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time? *

Mathematics
2 answers:
LenaWriter [7]3 years ago
6 0

Answer:

Part a) The number is 8

Part b) The initial number of bacteria is 4

Part c) y=4(8)^x

Part d) y=100(8)^x

Step-by-step explanation:

we know that

The equation of a exponential function is equal to

y=a(b)^x

where

y is the number of bacteria

x is the time in hours

b is the base of the exponential function

a is the initial number of bacteria

Part a) When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time?

we know that

For x=1 h ----> y=32 bacteria

For x=2 h ----> y=256 bacteria

For x=3 h ----> y=2,048 bacteria

For x=4 h ----> y=16,384 bacteria

For x=5 h ----> y=131,072 bacteria

For x=6 h ----> y=1,048,576 bacteria

so

256/32=8

2,048/256=8

16,384\2,048=8

131,072/16,384=8

1,048,576\131,072=8

so

the base of the exponential function  b is 8

Part b) What is the initial number of bacteria? (at time zero)

we know that

The number of bacteria at time x=1 hour , divided by the number of bacteria at time x=0 must be equal to 8 (see part a)

so

\frac{32}{a}=8

solve for a

a=32/8=4\ bacteria

Part c) Write a rule for this table

we have

y=a(b)^x

we have

a=4\\b=8

substitute

y=4(8)^x

Part d) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Write the function rule for this situation

In this case

a=100

b=8 ---> the growth factor is the same

so

y=100(8)^x

Gala2k [10]3 years ago
6 0

Answer:

Part A: B

Part B: C

Part C: A

Part D: D

Step-by-step explanation:

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Answer:

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A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

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Total outcomes:

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What is the probability that a randomly selected person plays​ soccer?

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What is the value of a in the equation 5a – 10b = 45, when b = 3?
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Here you go. Do you think that you could help me with my question

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A little help Mean median mode range
goldenfox [79]

Answer:

Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your pre-statistics courses, if the topic comes up at all.

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order from smallest to largest, so you may have to rewrite your list before you can find the median. The "mode" is the value that occurs most often. If no number in the list is repeated, then there is no mode for the list.

Mean, Median, Mode, and Range

The "range" of a list a numbers is just the difference between the largest and smallest values.

   Find the mean, median, mode, and range for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

The mean is the usual average, so I'll add and then divide:

(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

Note that the mean, in this case, isn't a value from the original list. This is a common result. You should not assume that your mean will be one of your original numbers.

The median is the middle value, so first I'll have to rewrite the list in numerical order:

13, 13, 13, 13, 14, 14, 16, 18, 21

There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:

13, 13, 13, 13, 14, 14, 16, 18, 21

So the median is 14.

The mode is the number that is repeated more often than any other, so 13 is the mode.

The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.

mean: 15

median: 14

mode: 13

range: 8

Note: The formula for the place to find the median is "([the number of data points] + 1) ÷ 2", but you don't have to use this formula. You can just count in from both ends of the list until you meet in the middle, if you prefer, especially if your list is short. Either way will work.

Step-by-step explanation:

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What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) in slope-intercept form?
antiseptic1488 [7]

Answer: b is the answer

Step-by-step explanation:

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