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nalin [4]
4 years ago
14

Choose the best answer to the following question. Explain your reasoning with one or more complete sentences. At​ 11:00 you plac

e a single bacterium in a​ bottle, and at​ 11:01 it divides into 2​ bacteria, which at​ 11:02 divide into 4​ bacteria, and so on. How many bacteria will be in the bottle at​ 11:30?
Mathematics
1 answer:
pychu [463]4 years ago
7 0

Answer:

we could work this out by geometric sequence

Step-by-step explanation:

G1=2, G2=4, we have a formula,Gn=G1r^n-1

G2=G1 (r)^1, 4=2r, r=2

G30=G1 (2)^29=1,073,741,824 bacterium

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Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho
nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are n_1  ways to complete the first step, n_2 ways to complete the second step, n_3, and n_k ways to complete the k^{th} step, this process can be carried out in  n_1\times n_2\times n_3\times ...\times n_k ways.

Step 2

We use the fundamental principle of counting with n=4 for a total of k=16 steps.  This test can be carried out in 4^{16}=4294967296 ways. This comes from multiplying 4 by itself 16 times.

3 0
4 years ago
If tim spends 1/3 each weekday sleeping and about 7/24 each weekday in school what fraction of a weekday does Tim spend either s
Ganezh [65]
Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.

I hope that's what you meant.
3 0
4 years ago
Sarah Rhodes prepared one gallon of hot
makvit [3.9K]

1 gallon = 128 ounces

Divide total ounces by ounces per cup:

128 / 4 = 32

She had 32 servings

8 0
3 years ago
Barbara runs once around the track in 3 minutes 45 seconds. Liad runs around the track in 2
seropon [69]

Answer:

2/3rds of liad's run

Step-by-step explanation:

3 min 45s = 3 3/4 min = 15/4 min; 10/(15/4) = 8/3 laps

2min 30s = 2 1/2 min = 5/2 min; 10/(5/2) = 4 laps

(8/3)/4 = 2/3

3 0
2 years ago
What is the domain of the square root function graphed below?
lesya [120]

Answer:

x \geqslant 0

Option D is the right option.

Explanation:

Observe from the graph that the value of X starts at X=0 and the graph is going to the right infinitely.

So the domain of the function should be:

x \geqslant 0

Hope this helps...

Good luck on your assignment..

4 0
4 years ago
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