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kotegsom [21]
3 years ago
12

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

eria after t hours. (b) Find the number of bacteria after 24 hours.
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer: a) N(t)=1500(2)^t

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

y= ab^t , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

N(t)=1500(2)^t

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000

Hence, the number of bacteria after 24 hours is 25165824000.

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John is curious about the type of music his classmates enjoy and decides to survey 125 of his classmates. In his survey, 63 stud
goldfiish [28.3K]

Answer:

Total 22 students do not enjoy hip hop or pop.

Step-by-step explanation:

It is given that total number of students is 125.

A : Total number of students, who enjoy hip hop

B : Total number of students, who enjoy pop

A∩B : Total number of students, who enjoy both hip hop and pop music.

From the given information it is clear that

A=90

A\cap B=63

A'\cap B=13

A'\cap=B-A\cap B

13=B-63

B=76

Total number of students, who enjoy at least one of the music.

A\cupB=A+B-A\cap B

A\cupB=90+76-63

A\cupB=103

Total number of students, who do not enjoy any music.

125-A\cupB=125-103=22

Therefore total 22 students do not enjoy hip hop or pop.

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3 years ago
Answer for brainlist due in 30 mins
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Answer: y=-4x+9

Step-by-step explanation:

m= -4

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If the ratio of boys to girls is 1:4 and there are 20 girls in your class, how many boys are there?
Sonja [21]

Answer:

Step-by-step explanation:

5 boys

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What would this number be rounded to the thousands place ?
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you asked what would a number be rounded to the thousands place but you haven't mentioned the number?


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5 9 17 11 8 11 16<br><br><br> How do you do standard deviations with these numbers
BlackZzzverrR [31]

Answer:

3.96

Step-by-step explanation:

Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.

Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.

5 9 17 11 8 11 16

Step 2: Calculate the mean of the data set;

5 + 9 + 17 + 11 + 8 + 11 + 16 = 77

Mean = 77 / 7

Mean = 11

Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;

5 - 11 = (-6)² = 36

9 - 11 = (-2)² = 4

17 - 11 = (6)² = 36

11 - 11 = (0)² = 0

8 - 11 = (-3)² = 9

11 - 11 = (0)² = 0

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Step 4: Find the mean of the differences;

36 + 4 + 36 + 0 + 9 + 0 + 25 = 110

Mean = 110 / 7 = 15.71

Step 5: Take the square root of the Mean above to find the standard deviation;

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