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zloy xaker [14]
3 years ago
6

A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft. The ramp will start 6 ft. from the door. To t

he nearest tenth of a foot, how long will the ramp be?
Mathematics
1 answer:
pogonyaev3 years ago
5 0
The ramp will form a triangle with height 2ft and base 6ft.

The length of the ramp will be the hypotenuse of this triangle.
length² = height² + base²
length = √(height² + base²)
length = √(2² + 6²)
length = √(4 + 36)
length = √40
length = 6.3ft

Therefore, the ramp will be 6.3ft long.
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Question 11
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the trainee calculated the incorrect amount

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Hello what do you exactly need help for
3 0
3 years ago
Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
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The general formula for exponential growth and decays is:

y=y_0e^{kx}

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The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

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