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marta [7]
3 years ago
13

Misae says that a step graph does not represent a function because the graph is not connected. Alex says that it does represent

a function because there is only one y for every x. Who is correct and why?
Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Answer:

Alex is correct

Step-by-step explanation:


MrRa [10]3 years ago
6 0
Answer:  "Alex" is correct, because Alex's explanation:
_______________________________________________________
<span>"because there is only one y for every x" ; 
_______________________________________________________
is the definition of a "function" .
_______________________________________________________</span>
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A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho
dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

f(x) = A*e^{-k*x}

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

k = ln(2)/16h

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg

The percentage of the initial dosage that remains is:

P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%

If you want to learn more about exponential decays:

brainly.com/question/11464095

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8 0
1 year ago
There are 20 small tropical fish swimming in a 55-gallon aquarium. What is the population density?
umka21 [38]

Answer:

The population density is 0.364 fish per gallon.

Step-by-step explanation:

The population density can be defined as the number of individuals (in this case, small tropical fish) per unit of area or volume. In this case, the volume of the aquarium (55 gallon).

The density can be calculated then as:

d=\dfrac{P}{V}=\dfrac{20\;\text{fish}}{55\;\text{gal}}\approx0.364\dfrac{\text{fish}}{\text{gal}}

The population density is 0.364 fish per gallon.

5 0
2 years ago
A recipe for 1 batch of muffins included 2/3 cup of raisins. She made 2 1/2 batches of muffins. How many cups of raisins did she
choli [55]

Answer:

If she made <u>2</u> <em>1/2</em> batches of muffins and you had 2/3 of raisins per 1 batch then you'd have a total of 1 2/3 cups of raisins

Step-by-step explanation:

1 batch= 2/3 cups

<u>2 batches</u>=4/3 cups or 1 and 1/3 cups

<em>1/2 batch</em>= 1/2 of 2/3= 1/3 cups

2 batches+1/2 batches= 1 and 1/3 cups+1/3 cups

1 and 1/3 cups+1/3 cups= 1 and 2/3 cups of raisins

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