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2 years ago

Explain what exponential decay is

Mathematics

2 answers:

Basile [38]2 years ago

5 0

A function in which the dependent variable decreases by the same factor over each unit of time

VARVARA [1.3K]2 years ago

5 0

A quantity X follows an exponential decay (decrease) if it decreases at a rate proportional to its current value. This can be written as

$X(t) = X_0 e^{-at}$

with t being the time (can be continuous or discrete steps), and "a" being a rate of decay (the larger "a" the faster the decay). X0 is an initial (at time 0) value of the quatity X. Exponential decay is seen frequently in nature (radioactivity, chemical reactions) and economics.

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Which statement about scatter plots is true? A. Associated variables cannot be represented on scatter plots B. A regression line

Ratling [72]

A scatter plot or also called the scatter graph, chart or diagram is a type of plot or mathematical diagram using Cartesian coordinates to display value for typically two variables for set of data. Base on that fact, the possible answer to your question is letter D. Scatter plot can be used to represent quantitative data

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3 years ago

Read 2 more answers

What is the domain of y = cos θ?

Tpy6a [65]

Domain are all the possible x values of a function. When you look at a cosine graph you can see that it goes on into infinity in the x or horizontal direction. This means that all x values are included in cosine. Because of this the domain is:

all real numbers

(-∞,∞)

^^^ It can be written both ways

Hope this helped! Let me know if there is anything else I can do!

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2 years ago

Find the differential equation of dy/dx=(3x+y+4)^2

sp2606 [1]

67 is the correct answer

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2 years ago

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Is it possible for a number to be a rational number that is not an interger but is a whole number. Explain

mylen [45]

Whole numbers are a subset of integers, which in turn are a subset of rational numbers.

So, every whole number is an integer, and every integer is a rational number.

So, it is possible for a rational number not to be an integer. Think of any decimal number: 1.356 is a rational number, but it's not an integer.

On the other hand, if a number is not an integer, it can't be a whole number, because all whole numbers are integers.

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2 years ago

G(x)=15x-10 inverse function with steps please

Alexus [3.1K]

Answer:

The inverse function is g(x) =

$\frac{x + 10}{15}$

Step-by-step explanation:

You can find the inverse of any function by switching the g(x) value (or whatever the function value is labelled) and the x value. Then solve for the new g(x) value. The result will be your inverse function.

g(x) = 15x - 10 ---> Switch the g(x) and x

x = 15g(x) - 10 ---> Add 10 to both sides

x + 10 = 15g(x) ----> Divide both sides by 15.

$\frac{x + 10}{15} = g(x) ----> Switch the order$

= g(x) ----> Switch the order

g(x) =

$\frac{x + 10}{15}$

And that would be your inverse function.

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3 years ago