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Kruka [31]
3 years ago
11

What is three equivalent ratio of 6 to 9

Mathematics
1 answer:
marin [14]3 years ago
5 0
2 to 3
4 to 6
12 to 18
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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Jerome is planning a fundraiser.
PilotLPTM [1.2K]

Answer:132

Step-by-step explanation: 1.25-.50=75 the profit of each apple is 75 cents

99 dollars divided by .75 is 132

8 0
3 years ago
Given the arithmetic sequence an = 2 + 4(n − 1), what is the domain for n?
zlopas [31]
The answer should be A the first one
3 0
3 years ago
Read 2 more answers
Please help will mark brainliest
TEA [102]

we know that

total of sum of arc is 360

so, sum of both arc must be 360

so, we get

90+x=360

now, we can solve for x

90+x-90=360-90

x=270............Answer


6 0
3 years ago
How do I convert 45 mi to km???
Kazeer [188]
The answer issssssssssssss 72.42
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