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3 years ago

17 A plank of wood is 3.6 metres long. 85 cm is sawn off.

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

Answer:

2.75

Step-by-step explanation:

So lets work this out:

First, we will need to convert 85 cm to meters. That would be 0.85 meters.

Now we can take 0.85 meters and subtract it from 3.6. This equals 2.75.

A plank of wood is 3.6 meters long. 85 cm is sawn off. How long is the remaining plank? 2.75 meters

Also no thank you I am a lady

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Read 2 more answers

Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

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Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

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$1= e^k$

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$k=0$

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Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

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$\displaystyle k = \ln 2$

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$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

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Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

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Answer:

Step-by-step explanation:

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