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Grace [21]
2 years ago
9

There is a body of water that starts with 1 square unit, and doubles in size every day (2 units after 2 days, 4 units after 4 da

ys). It takes 100 days to fill up. How many days would it take to fill if you started with 2 square units?
Mathematics
1 answer:
Alexxandr [17]2 years ago
6 0

Answer:99 days

Step-by-step explanation:

Given

If one start with one square unit it takes 100 days

i.e. At second day it is 2 unit

third day 2^2

at n th day 2^{n-1}

at 100 day 2^{99} square unit

If we start with 2 square units it would take

2^n for n days

2^n=2^{99}

n=99\ days

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DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

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In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

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3 years ago
You ran for 25 minutes and burned 220 calories. How many calories did you burn per minute?
Bezzdna [24]

Answer:

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Step-by-step explanation:

Hope this helps!

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Step-by-step explanation:

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How do i solve this? Please give me step by step explanation.
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