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prisoha [69]
3 years ago
11

What is a real-world example of an exponential function?

Mathematics
2 answers:
AlexFokin [52]3 years ago
8 0

Answer:

Population growth, radioactive decay, and loan interest rates, calculate half-life, or plan your budget.

Eva8 [605]3 years ago
4 0

Disease spread is modeled with exponential functions very frequently, at least in the early stages of growth. For a particularly relevant example, I've attached a graph tracking the growth of the novel coronavirus, through its outbreak in several major countries. Note that this graph is a <em>logarithmic</em> one; every notch on the y-axis is 10 times larger than the last, so any exponential patterns will be visible as <em>lines</em> on this graph.

In a typical exponential function, you'll typically have some <em>initial value</em> and a <em>multiplier. </em>For example, in the function f(x)=3\cdot2^x, we start with an initial value of 3 and double that value every time x is incremented by 1. Epidemiologists have a special name for the multiplier in the case of a disease or potential epidemic: the <em>basic reproduction number</em>, or R_0, as it's usually written. R_0 represents the average number of cases of a infection person in the population is expected to spread. Novel coronavirus has an R_0 between 2.1-2.7, meaning the average carrier will spread it to at least 2 other people over the course of their infection. This seems like a small number at first, but doubling the number of infected each period leads to some frightening growth.

Thankfully, R_0 isn't the only thing that matters for the spread of disease, as in many cases it doesn't take into account preventative measures taken against spreading infection. Sheltering-in-place, social distancing, and effective hygiene go a long way, and you should be practicing them as much as you can in these coming weeks and months to help turn this exponential curve into a linear one!

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Find the quotient 12÷3/8
bearhunter [10]

Answer:

32

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

 

Thus, the answer to 12 divided by 3/8 in fraction form is:

96 /3

To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

96 / 3 = 32

The answer is rounded to the nearest two decimal points if necessary.

96/3 can be simplified to 32/1.

32/1 is an improper fraction and should be written as 32.

Hope this helps <3

3 0
2 years ago
Read 2 more answers
Question is in the picture<br>please help
LiRa [457]

When given the graph of a function, the domain would include all the points that there is a graph. The strategy is to find what <em>is not</em> included.

What we are looking for are points of discontinuity. Think of it as when you remove your pencil from the paper.

From left to right, the graph stops at x = -3. So anything less than -3 is in the domain. Next, the graph starts up again at x =-1 after an asymptote (the vertical dashed lines). This piece goes to x = 4. So our domain is from -1 to 4.

Lastly, there's a jump from 4 to 5 and the graph goes on again. After 5, we take all the stuff more than it. So x > 5 is in the domain.

So x < -3, - 1 < x < 4, and x > 5 appears to be our domain. However, end points needed to be checked to see if we include them or not. Again we go left to right.

At x = -3 there is a filled (or closed) circle and that means we include -3.

At x = -1 there is an asymptote. Asymptotes are things you get close to but don't get to. (Think of it as the "I'm Not Touching" game you play on car trips.) So we exclude -1.

At x = 4 there is an unfilled (or open) circle and that means we exclude 4.

At x = 5 there is a filled circle so we include 5.

Now we refine our domain for the endpoints.

x ≤ -3, -1 < x < 4, x ≥ 5 is our domain.

The problem gives us intervals, and we gave it in inequalities. When we include an endpoint we use brackets - [ and } and when we exclude and endpoint we use parentheses - ( and ). Let's go back to x ≤ -3. Anything less works, and -3 is included (closed circle). That interval is (-∞, -3]. Next is the piece between -1 and 4. Since both are excluded, (-1,4) is our interval. We include 5 to write x ≥5 as the interval [5,∞).

Put the bolded ones all together and use the union, ∪, symbol to connect them, since something on the graph could be in any piece.

Our domain is (-∞, -3] ∪(-1,4) ∪ [5,∞).

5 0
3 years ago
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Nuetrik [128]
Uhh thats a test...... a or b
4 0
3 years ago
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If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of is (3, 0) (18/5, 0) (9,
tester [92]
The x-intercept of CD=18/5,0
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6 0
3 years ago
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Decrease 620 by 10%
julia-pushkina [17]

Answer:

 682

Step-by-step explanation:

620, percentage decreased by - 10% (percent) of its value = 682

6 0
3 years ago
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