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wel
4 years ago
9

brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells. He wants to know

how many there will be after 42 months?
Mathematics
2 answers:
Sedbober [7]4 years ago
8 0

Answer:

Step-by-step explanation:

Originally, there were only five bacterial cells. After one month, the amount of bacteria is doubled with ten bacteria. The growth is represented by the formula:

a42 = 5 x 2^1

After 42 months, the growth can be solved using this formula:

a42 = 5 x 2^42 just so you know my cuz help me shes good in this

igor_vitrenko [27]4 years ago
4 0

Answer:

N=2.1990232556 \times 10^{13}

Step-by-step explanation:

Given : Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells.

To Find: He wants to know how many there will be after 42 months?

Solution:

Since we are given that initially there were 5 bacterial cells.

Bacteria doubles every month

Let n denotes the number of months .

Function becomes : N=N_0(2)^n

N_0 = initial amount

N = amount after n months

So, N=5(2)^n

Substitute n = 42

N=5(2)^{42}

N=2.1990232556 \times 10^{13}

Thus there will be 2.1990232556 \times 10^{13} bacteria after 42 months.

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Goshia [24]

Answer:

  23

Step-by-step explanation:

You can use Euler's method to find the GCF of these values:

  (9n -2) mod (7n +3) = 2n -5

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  (2n -5) mod (n +18) = n -23

We want this to be zero, so n = 23. (Note that none of the other remainders are zero for any positive integer n.)

The smallest positive integer n for which (9n-2) and (7n+3) share a common factor is 23. (Their common factor is 41.)

_____

<em>Check</em>

  9(23) -2 = 205 = 5×41

  7(23) +3 = 164 = 4×41

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3 years ago
How many 2.5 inch by 6 inch tiles will fit on a back splash that is 2.5 feet tall and 8 feet long?
Maksim231197 [3]
Area of each of the tiles = (2.5 * 6) inches^2
                                       = 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
                                           = (8 * 12) inches
                                           = 96 inches
Height of the back splash = 2.5 feet
                                         = (2.5 * 12) inches
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Area of the back splash = ( 30 * 96) inches^2
                                       = 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
                                                                                     = 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand. 
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