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Zielflug [23.3K]
3 years ago
8

A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours.

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer:

1024

Step-by-step explanation:

There are 4 bacteria at the start. We can make an equation to represent the phenomena explained in the question.

As it is written in the question that the bacteria culture doubles in every hour.

So,

Let t represent the unit of time

So the number of bacteria after t unit of time will be  

Number of bacteria after t unit of time=4*2^t

We have to calculate number of bacteria after 8 hours, so t = 8

Number of bacteria after 8 hours=4*2^8

=4*256

=1024

So the bacteria after 8 hours in the culture will be 1024..

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Andrea made a replica of the Empire State Building. The surface area of the model is 45 ft2. What is the surface area of the act
melamori03 [73]

Answer:

<u>87,120 ft²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

Scale factor = 44

2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²

(20 * 44) * (2.25 * 44) =  880 * 99 = 87,120 ft²

<u>As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²</u>

6 0
3 years ago
WhIich of the following mathematical expressions is equivalent to the verbal expression "A number, x, squared is 39 more than th
MrRa [10]

Answer:

E. x^2 = 39 + 10x

Step-by-step explanation:

It helps to do one piece of the sentence at a time.

"A number, x, squared is 39 more than the product of 10 and x"

x

"A number, x, squared is 39 more than the product of 10 and x"

x^2 =

"A number, x, squared is 39 more than the product of 10 and x"

x^2 = 39 +

"A number, x, squared is 39 more than the product of 10 and x"

x^2 = 39 + 10x

Answer: E. x^2 = 39 + 10x

6 0
3 years ago
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blsea [12.9K]

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

8 0
1 year ago
Perimeter of a triangle with side length of 13.9in,10.4,8.5in
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Perimeter =a+b+c

13.9 + 10.4 + 8.5 =

32.8 in (perimeter)


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