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Citrus2011 [14]
3 years ago
12

The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how

many bacteria will be present at the end of the 8th hour?
Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

The number of bacteria after 8th will be 3840

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

A=A_0r^{n-1}

Where A is number of bacteria after n hours.

A_0 is bacteria present initially.

r is the common ration, in our problem it is given that bacteria doubles every hour. So, r=2

And n is the number of hours. In our problem we need amount of bacteria at the end of 8th hours. So, n=8

Plugging values in the formula we get,

A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840

So, number of bacteria after 8th will be 3840

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Rama09 [41]

Answer:  (-\infty, -4]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\

The last inequality shown above is the same as saying -\infty < x \le -4

Converting this to interval notation leads to the final answer of (-\infty , -4]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

5 0
2 years ago
-2(6+s)&gt;-15-2s<br><br> Please answer!!
valkas [14]
This problem has infinitly many solutions
6 0
3 years ago
Read 2 more answers
Determine whether each equation has one solution, no solution, or infinite solutions.
Sati [7]

Answer:

a. has one solution

b. infinite solution

Step-by-step explanation:

a.

2(x - 1) + 6 = 4x - 22

2x - 2 + 6 = 4x - 22

2x - 4x = 2 - 6 - 22

-2x = -26

x = 26/2

x = 13

b.

6(2x + 1) – 2 = 12x + 4

12x + 6 - 2 = 12x + 4

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6 0
3 years ago
What is the surface area of the square pyramid?
wel
Ok to start you need to break this into a net in your head. Next, calculate each triangle
(6*7)/2 = 21
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21*4 = 84
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7*7 = 49
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3 0
2 years ago
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?
storchak [24]
Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.

Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
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60 - 1 = 59
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Answer: 5 and 12 
8 0
3 years ago
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