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miv72 [106K]
3 years ago
11

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it

take for 3,000 bacteria to reduce to 375?
Mathematics
1 answer:
ANTONII [103]3 years ago
7 0
As we know that 
x=x0*[1/2]n
putting the values 
375=3000*[1/2]n
375/3000=<span>[1/2]n
</span>1/8=<span>[1/2]n
simplify
[1/2]3=</span><span>[1/2]n
by cancelling them
so n=3
so it will take 3 minutes
hope it helps</span>
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Tresset [83]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

  y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

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3 years ago
Add:
dezoksy [38]
   (4-3n-5n2)

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A triangle is such that the largest angle is three times the smallest angle. Find the measure of each angle
sammy [17]
Let x represent the smallest angle. Then the largest is 3x, and the remaining angle is 180-4x. The problem statement tells us
.. 3x > 180 -4x > x
Adding 4x gives us
.. 7x > 180 > 5x
or
.. 36 > x > 180/7 = 25 5/7

The angles, smallest to largest, are
.. x, 4(45 -x), 3x
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The angles could be, for example, any of ...
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8 0
3 years ago
(2 + 3i) + (3 – 4i)<br><br> (3 – 5i) – (–2 – i)<br><br> (2 − 4i)(1+ 3i) <br><br> 2i(−1+ 3i)
grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

  • (2 + 3i) + (3 - 4i)
  • <u>5 - i</u>

<u>Question 2</u>

  • (3 – 5i) – (–2 – i)
  • 3 - 5i + 2 + i
  • <u>5 - 4i</u>

<u>Question 3</u>

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<u>Question 4</u>

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2 years ago
A set of composite numbers less than 12 .express it in listing and set builder methods​
marusya05 [52]

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods​.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set = \{x|x\neq P,1

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and \{x|x\neq P,1 respectively.

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