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ioda
4 years ago
12

In a small pertinent dish,a bacteria culture begin with single bacteria and doubles in population every hour, based on the funct

ion model p(x)=2^x
1. What coordinate point represents when only one bacterium is present in the
culture? What does this coordinate point represent in terms of the graph of the
function? What does each coordinate point represent in terms of the problem
situation?
Mathematics
1 answer:
sergij07 [2.7K]4 years ago
4 0

Answer:

(0, 1)

Step-by-step explanation:

p(x) =2^x

  • p(x) - is number of bacteria
  • x - time, hour

Solution of p(x) = 1

  • 2^x = 1
  • x = 0,

Indicating initial number of 1 in the beginning

Coordinate of (0, 1) is the solution

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The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following
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Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

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3 years ago
Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h
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Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

\displaystyle \frac{2}{15}.

Step-by-step explanation:

Let x be the amount of ice cream that Catherine's sister ate, in gallons.

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  • What Catherine ate: \displaystyle \frac{1}{5} gallons.
  • What Catherine's sister ate is assumed to be x gallons.
  • What's left: \displaystyle \frac{2}{3} gallons.

Consider the relationship:

\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}.

That is:

\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}.

Add x to both sides of this equation:

\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x

Substract \displaystyle \frac{2}{3} from both sides:

\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x.

Convert the denominator of all three numbers on the left-hand side to 3 \times 5 = 15

\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x.

\displaystyle x = \frac{2}{15}.

In other words, Catherine's sister ate \displaystyle \frac{2}{15} gallons of the ice cream.

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