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Aliun [14]
2 years ago
11

100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT

Mathematics
2 answers:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

See below ~

Step-by-step explanation:

<u>Volume of a tetrahedon</u>

  • V = s³ / 6√2
  1. s = edge length

<u>Solving for V</u>

  • V = (4)³ / 6√2
  • V = 64 / 6√2
  • V = 32 / 3√2
  • V = 32√2 / 6
  • V = 16√2 / 3
  • V = <u>7.54 cubic inches</u>

<u>Graph</u>

Butoxors [25]2 years ago
6 0

Volume of a tetrahedron with edge s

\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}

According to question

  • s=4in

\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}

\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}

\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}

\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}

\\ \rm\Rrightarrow V\approx 7.5425in^3

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311

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280 + 31 = 311

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3 years ago
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Solve –15 = 4m – 7.<br><br><br> –32<br><br> 2<br><br> –12<br><br> –2
Shkiper50 [21]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A research student is working with a culture of bacteria that doubles in size every
ser-zykov [4K]

Answer:

2^{24}*1000 bacteria

Step-by-step explanation:

The generic form of an exponential function is: f(n)=ar^n , where a is the initial amount, r is the rate, and n is the time.

In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.

Now, we have: f(n)=1000(2)^{n/5}

Since n is the number of minutes, we need to convert 2 hours to minutes:

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Thus, the answer is 2^{24}*1000 bacteria.

Hope this helps!

5 0
3 years ago
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