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3 years ago

Which situation is an example of exponential decay?

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

Answer:

Half Life

Step-by-step explanation:

Cells decay by half of how much they decayed last time. This is an example of exponential decay.

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The dimensions of an office conference room or 8' x 16' if the conference room blueprint dimensions are 4 cm x 8 cm what is the

Olegator [25]

The scale is 1 cm per 2 ft

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2 years ago

Find the area for each figure to the nearest tenth

ivann1987 [24]

10. 105 in
11.50 m
Explanation:

8 0

3 years ago

A book agent charges 15% to represent an author. If the agent earns $4.5 thousand from a book deal, how much does the author ear

netineya [11]

Answer: $25,500

Step-by-step explanation:

15/100 = 4500/x , we use this proportion to find out how much the entore book deal was. When you multiply 4500 x 100 and divide by 15, it gives you an answer of 30,000. 30,000 is the value of the book deal. The agent gets 15% but the entire deal would be worth 100%. We subtract 15% from 100% to get 85%. 85% is what the author will receive. 85% of 30,000 is $25,500. We find the answer by multiplying 30,000 by 0.15. 0.15 is the decimal equivalent of 15.

7 0

3 years ago

Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve

Akimi4 [234]

A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is $\mathbf 0$ . We have

$\nabla\times\mathbf f(x,y,z)=-2e^{-x}\,\mathbf k$

so this vector field is not conservative.

- - -

Another way of determining the same result: We want to find a scalar function $f(x,y,z)$ such that its gradient is equal to the given vector field, $\mathbf f(x,y,z)$ :

$\nabla f(x,y,z)=\mathbf f(x,y,z)$

For this to happen, we need to satisfy

$\begin{cases}f_x=ye^{-x}\\f_y=e^{-x}\\f_z=2z\end{cases}$

From the first equation, integrating with respect to $x$ yields

$f_x=ye^{-x}\implies f(x,y,z)=-ye^{-x}+g(y,z)$

Note that $g$ *must* be a function of $y,z$ only.

Now differentiate with respect to $y$ and we have

$f_y=-e^{-x}+g_y=e^{-x}\implies g_y=2e^{-x}\implies g(y,z)=2ye^{-x}+\cdots$

but this contradicts the assumption that $g(y,z)$ is independent of $x$ . So, the scalar potential function does not exist, and therefore the vector field is not conservative.

8 0

2 years ago

Which of these expressions is the simplified form of the expression (Sin(x)/1-cos^2(x)) tan(x/2)?

FromTheMoon [43]

Answer:C

1/1+cos(x)

Step-by-step explanation:

5 0

2 years ago