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In-s [12.5K]
2 years ago
12

A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many bacteria are there

after 8 hours? Round to the nearest integer and do not include units in your answer. B(t) = 4 e0.8t
Mathematics
2 answers:
pychu [463]2 years ago
5 0
The growth of the bacteria is expressed as:

<span>B(t) = 4 e^0.8t
</span>
where t is the time in units of hours. If the bacteria is allowed to grow for 8 hours then the number of bacteria present would be,


<span>B(t) = 4 e^0.8(8)
</span><span>B(t) = 2407</span>
lianna [129]2 years ago
5 0
To be able to determine the number of bacteria after 8 hours, substitute 8 for all the t's in the given function.
                            B(t) = 4 x e^0.8t
                        B(8) = 4 x e^(0.8)(8)
The numerical value of B(8) is 2407.38. Therefore, there are approximately 2407 bacteria. 
You might be interested in
The sales tax on a surfboard is $12. What is the percent of sales tax?
Rudik [331]
X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)


Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %

The sales tax is 5%.

Hope this helps! :)


8 0
3 years ago
By taking  = 3.141 and
Whitepunk [10]

The value of the expression 1/√2 + π where the given parameters are π = 3.141 and  √2 = 1.414 is 3.848

<h3>How to evaluate the expression?</h3>

The given parameters are

π = 3.141

√2 = 1.414

The expression to evaluate is given as:

1/√2 + π

Start by substituting π = 3.141 and √2 = 1.414 in the expressions 1/√2 + π

1/√2 + π = 1/1.414 + 3.141

Evaluate the quotient

1/√2 + π = 0.707 + 3.141

Evaluate the sum

1/√2 + π = 3.848

Hence, the value of the expression 1/√2 + π where the given parameters are π = 3.141 and  √2 = 1.414 is 3.848

Read more about expressions at:

brainly.com/question/723406

#SPJ1

<u>Complete question</u>

By taking π = 3.141 and √2 = 1.414, evaluate 1/√2 + π up to three places of decimals.

8 0
1 year ago
A.<br> 10,000<br> B.<br> 23,000<br> C.<br> 55,000<br> D.<br> 155,000
Law Incorporation [45]

The best and most correct answer among the choices provided by the question is B.) 23,000

Hope this helps :)

3 0
3 years ago
A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter ma
Solnce55 [7]

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

5 0
3 years ago
Identify the solution set for: −2|−2x−4|=−12
myrzilka [38]

Answer:

C: {−5, 1)

Step-by-step explanation:

Starting with −2|−2x−4|=−12, divide both sides by -2:

|−2x−4| =  6

Reduce this by dividing all terms by 2:

|-x - 2| = 3

This is equivalent to   x + 2 = 3  and  x + 2 = - 3

Solving thse two equations, we get x = 1 and x = -5

And so the solution set is  C: {−5, 1)

4 0
2 years ago
Read 2 more answers
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